Chapter 0 Pretest Form A Date - WordPress.com · 2015. 10. 26. · Estimate the number of people at a basketball game if the stadium holds 20,300 people and 62% of the tickets were

T-1

Chapter 0 Pretest Form A Name:

Date:

1. Simplify: 14

49 1. __________________________

2. Simplify: 51

68 2. __________________________

3. Write as a mixed number: 25

12 3. __________________________

4. Change to an improper fraction: 5

38

4. __________________________

5. Find the missing numerator: 3 ?

7 42 5. __________________________


3 12 6. __________________________

7. Find the LCD of 3

4,

5

6, and

2

9. 7. __________________________

Perform the indicated calculation. Write the answer in simplest form.

8. 1 5

8 8 8. __________________________

9. 5 3

12 8 9. __________________________

10. 1 2

3 22 3

10. __________________________

11. 2 1

7 65 3

11. __________________________

12. 3 28

7 15 12. __________________________

13. 2 3

2 35 4

13. __________________________

14. 2

63

14. __________________________

Copyright © 2013 Pearson Education, Inc.

T-2

Chapter 0 Pretest Form A (cont.) Name:

15. 1 2

3 23 5

15. __________________________

16. 4.16 19.47 1.056 16. __________________________

17. 4.27 23.8 17. __________________________

18. 6.88 4.3 18. __________________________

19. 35.884 2.234 19. __________________________

20. Change to a decimal: 3

16 20. __________________________


6 21. __________________________

22. Change to a percent: 0.71 22. __________________________


24. Change to a decimal: 0.25% 24. __________________________

25. Change to a decimal: 64% 25. __________________________

26. What is 12% of 450? 26. __________________________

27. What percent of 300 is 75? 27. __________________________

28. Estimate: 3489 1945 28. __________________________

29. Estimate: 3726 5249 29. __________________________

30. The enrollment in a small community college is 4238. If 49% are 30. __________________________ females, estimate the number of females enrolled.

31. How many cubic feet of cement are needed to pour a foundation 31. __________________________ for a house that is 120 feet by 200 feet if the foundation is to be 3 inches deep?

32. A city had 184,320 registered voters. If 15% of the voters in a 32. __________________________ bond election, how many voted?


T-3

Chapter 0 Pretest Form B Name:

Date:

1. Simplify: 35

56

a. 1

7 b.

5

9 c.

5

8 d.

7

9

2. Simplify: 63

105

a. 9

15 b.

21

35 c.

3

5 d.

7

12


19

a. 24

119

b. 5

219

c. 4

219

d. 13

119


27

a. 14

7 b.

19

7 c.

20

7 d.

12

7


4 16

a. 4 b. 9 c. 12 d. 10


7 28

a. 4 b. 12 c. 21 d. 40

7. Find the LCD: 3

4,

3

8, and

5

6

a. 48 b. 12 c. 16 d. 24

8. 4 3

11 11

a. 7

11 b.

1

11 c.

7

22 d.

12

11

9. 5 3

6 4

a. 2

3 b.

11

2 c.

71

12 d.

4

5

10. 3 1

2 34 5

a. 19

520

b. 1

620

c. 1

55

d. 4

59

11. 2 6

3 7

a. 11

121

b. 4

7 c.

6

7 d.

12

21


T-4

Chapter 0 Pretest Form B (cont.) Name:

12. 1

3 25

a. 3

35

b. 3

65

c. 9 d. 1

65

13. 1 5

4 43 13

a. 19 b. 8 c. 2

239

d. 5

1639

14. 2

83

a. 1

53

b. 1

12 c. 12 d.

3

16

15. 1 1

3 27 5

a. 5

67

b. 3

27

c. 3

17

d. 1

635


4

a. 3.4 b. 0.25 c. 0.65 d. 0.75


15

a. 0.13 b. 1.3 c. 0.13 d. 0.13 18. 3.2 6.21 0.471 a. 11.24 b. 9.881 c. 9.981 d. 11.11 19. 2.23 43.1 a. 96.113 b. 9.6113 c. 15.733 d. 10.812 20. 3.91 1.7 a. 23 b. 0.23 c. 230 d. 2.3 21. 43.81 26.217 a. 17.594 b. 17.603 c. 17.593 d. 17.583 22. Change to a percent: 0.05

a. 50% b. 5% c. 0.0005% d. 0.5% 23. Change to a percent: 0.123 a. 123% b. 12.3% c. 0.00123% d. 1.23% 24. Change to a decimal: 37.3% a. 37.3 b. 3.73 c. 3730 d. 0.373 25. Change to a decimal: 3% a. 30 b. 3 c. 0.3 d. 0.03


T-5


26. What is 35% of 600? a. 210 b. 2100 c. 21,000 d. 21 27. 80 is what percent of 200?

a. 25% b. 2.5% c. 40% d. 4%

28. Estimate: 5841 9398

a. 14,000 b. 13,000 c. 16,000 d. 15,000 29. Estimate: 3102 4978

a. 12,000,000 b. 15,000,000 c. 12,000 d. 15,000

30. Estimate the number of people at a basketball game if the stadium holds 20,300 people and 62% of the tickets

were sold. a. 1200 b. 1800 c. 18,000 d. 12,000 31. Find the total square feet of a building that is 75 feet by 150 feet.

a. 2 b. 11,250 c. 10,250 d. 12,000 32. If 1750 out of 3500 students who commute drive over 30 miles, what percent drive over 30 miles?

a. 50% b. 0.5% c. 2% d. 20%


T-6

Chapter 0 Test Form A Name:

Date:

1. Simplify: 35

45 1. __________________________


9 2. __________________________


311

3. __________________________

4. Add: 3 4 1

7 5 2 4. __________________________

5. Add: 1 5

2 38 6

5. __________________________

6. Subtract: 5 3

2 16 5

6. __________________________

7. Multiply: 5 4

11 3 7. __________________________

8. Divide: 4

105

8. __________________________

9. Divide: 3 2

64 3

9. __________________________

10. Add: 37.19 8.062 0.47 10. __________________________

11. Subtract: 43.5 3.65 11. __________________________

12. Multiply: 3.26 0.42 12. __________________________

13. Multiply: 3.518 10 13. __________________________

14. Divide: 0.00612 0.017 14. __________________________



17. What is 38% of 150? 17. __________________________

18. 153 is what percent of 408? 18. __________________________

19. Estimate: 93,407 42 19. __________________________

20. A mechanic makes a base salary of $60,000 yearly plus 12% 20. __________________________ commission on all work performed. What would be the mechanic’s total salary if $65,250 work was performed?


T-7

Chapter 0 Test Form B Name:

Date:

1. Simplify: 36

72 1. __________________________


14 2. __________________________


57

3. __________________________

4. Add: 5 2 3

16 3 4

4. __________________________

5. Add: 3 5

7 35 6

5. __________________________

6. Subtract: 2 7

8 33 12

6. __________________________

7. Multiply: 3 3

2 110 13

7. __________________________

8. Divide: 2

63

8. __________________________

9. Divide: 3 3

5 15 4

9. __________________________

10. Add: 2.35 0.324 7.2 10. __________________________

11. 28.2 1.95 11. __________________________

12. 0.45 0.029 12. __________________________

13. Multiply: 0.3479 1000 13. __________________________

14. Divide: 0.1566 2.7 14. __________________________

15. Change to percent: 0.0023 15. __________________________


17. What is 65% of 1200? 17. __________________________

18. 1225 is what percent of 4900? 18. __________________________

19. Estimate: 685 19 19. __________________________

20. A football stadium is 4

5 full. If the seating capacity is 85,000, 20. __________________________

how many spectators are at the game?


T-8

Chapter 0 Test Form C Name:

Date:

1. Simplify: 96

124 1. __________________________


30 2. __________________________


69

3. __________________________

4. Add: 3 3 3

2 45 4 5

4. __________________________

5. Add: 1 2

2 48 9

5. __________________________

6. Subtract: 7 4

3 18 5

6. __________________________

7. Multiply: 2 1

6 15 4

7. __________________________

8. Divide: 3

1 65

8. __________________________

9. Divide: 2 1

4 27 3

9. __________________________

10. Add: 3.63 4.5 0.034 10. __________________________

11. Subtract: 12 0.11 11. __________________________

12. Multiply: 1.25 0.14 12. __________________________

13. Multiply: 3.04 100 13. __________________________

14. Divide: 34.5 2.3 14. __________________________



17. What is 18% of 900? 17. __________________________

18. 15% of what is 300? 18. __________________________

19. Estimate: 98 6128 19. __________________________

20. A CD sells for $18.95. What will be the final cost after a 7% tax 20. __________________________ is added.


T-9

Chapter 0 Test Form D Name:

Date:

1. Simplify: 39

65 1. __________________________


14 2. __________________________


115

3. __________________________

4. Add: 3 4

7 11 4. __________________________

5. Add: 3 1

3 28 6

5. __________________________

6. Subtract: 2 3

6 53 4

6. __________________________

7. Multiply: 1

8 23

7. __________________________

8. Divide: 2

8 25

8. __________________________

9. Divide: 2 3

4 17 14

9. __________________________

10. Add: 4.82 6.3 9 10. __________________________

11. Subtract: 4 1.008 11. __________________________

12. Multiply: 0.12 0.021 12. __________________________

13. Divide: 264 1000 13. __________________________

14. Divide: 0.42 0.15 14. __________________________


16. Change to a decimal: 0.4% 16. __________________________

17. What is 46% of 640? 17. __________________________

18. 18% of what is 126? 18. __________________________

19. Estimate: 59,015 3078 19. __________________________

20. A CD sells for $12.95. What will be the final cost after an 8% 20. __________________________ tax is added?


T-10

Chapter 0 Test Form E Name:

Date:

1. Simplify: 60

84

a. 1

24 b.

5

7 c.

3

4 d.

4

6


60

a. 3

420

b. 37

160

c. 17

320

d. 2


57

a. 12

7 b.

37

7 c.

10

7 d.

35

7

4. Add: 2 1 3

3 4 8

a. 31

24 b.

6

15 c.

6

96 d.

5

12

5. Add: 3 1

2 17 3

a. 2

35

b. 16

321

c. 4

321

d. 1

47

6. Subtract: 2 8

4 35 9

a. 22

145

b. 23

45 c.

13

15 d.

21

15

7. Multiply: 3 21

7 15

a. 3

5 b.

1

5 c.

3

35 d.

3

7

8. Multiply: 1 1

3 43 5

a. 2

5 b. 14 c.

12

3 d. 35

9. Divide: 2 1

8 33 6

a. 2

63

b. 2

29

c. 14

219

d. 2

23

10. Add: 2.5 3.62 0.413

a. 6.533 b. 8 c. 5.533 d. 6.543


T-11

Chapter 0 Test Form E (cont.) Name:

11. Subtract: 361.4 19.23

a. 332.23 b. 169.1 c. 342.17 d. 0.084

12. Multiply: 16.8 0.05

a. 8.4 b. 84 c. 0.84 d. 0.084 13. Multiply: 28.31 100

a. 28.31 b. 0.2831 c. 2831 d. 283.1 14. Divide: 2.405 0.37

a. 0.65 b. 0.065 c. 65 d. 6.5 15. Change to a percent: 6.8

a. 680% b. 68% c. 6.8% d. 0.0068% 16. Change to a decimal: 2.8%

a. 2.8 b. 28 c. 0.028 d. 280 17. What is 27% of 350?

a. 9450 b. 945 c. 1296 d. 94.5 18. 168 is what percent of 480?

a. 29% b. 0.35% c. 2.9% d. 35% 19. Estimate: 58,345 2935

a. 20,000 b. 30 c. 20 d. 30,000 20. A clerk at a department store is paid 5% commission on the value of her sales. What is her commission if she

sells $6427 worth of merchandise in one week? a. $321.35 b. $1285.40 c. $128.54 d. $231.35


T-12

Chapter 0 Test Form F Name:

Date:

1. Simplify: 12

36

a. 3

9 b.

2

6 c.

1

3 d.

4

12


21

a. 25

221

b. 5

321

c. 5

221

d. 4

321


99

a. 77

9 b.

40

9 c.

85

9 d.

36

9

4. Add: 2 1 5

5 3 6

a. 8

30 b.

8

14 c.

4

15 d.

171

30

5. Add: 2 3

3 45 4

a. 5

79

b. 3

820

c. 1

74

d. 23

720

6. Subtract: 3 2

8 64 5

a. 5

149

b. 3

1520

c. 1

25

d. 7

220

7. Multiply: 3 10

5 9

a. 27

50 b.

11

2 c.

2

3 d.

50

27

8. Multiply: 1 5

2 13 7

a. 5

321

b. 4 c. 2 d. 5

221

9. Divide: 1 3

4 23 5

a. 2

13

b. 5

29

c. 3

5 d.

12

5

10. Add: 0.394 2.5 6.24

a. 10.43 b. 9.134 c. 9.124 d. 8.034


T-13

Chapter 0 Test Form F (cont.) Name:

11. Subtract: 25.6 1.62

a. 9.4 b. 22.02 c. 23.98 d. 230.8

12. Multiply: 2.39 1.4

a. 2.156 b. 3.326 c. 2.346 d. 3.346

13. Multiply: 1.965 100

a. 19.65 b. 196.5 c. 1965 d. 1.965

14. Divide: 3.6 0.4 a. 14.4 b. 90 c. 1.44 d. 9

15. Change to a percent: 0.035 a. 35% b. 0.35% c. 0.0035% d. 3.5%

16. Change to a decimal: 3% a. 0.03 b. 3 c. 30 d. 0.3

17. What is 18% of 940? a. 52.2 b. 0.019 c. 171 d. 169.2

18. 180 is what percent of 240? a. 75% b. 0.75% c. 1.25% d. 125%

19. Estimate: 21,615 394 a. 6,000,000 b. 80,000 c. 8,000,000 d. 60,000

20. A shirt sells for $16.00. What will be the total price after a 6% sales tax is added? a. $16.06 b. $112.00 c. $18.34 d. $16.96


T-14


Date:

Simplify.

1. 6 8 1. __________________________

2. 3 5 8 2. __________________________

3. 15 7 28 12 3. __________________________

4. 6 4 4. __________________________

5. 2 4 8 5. __________________________

6. 12 4 6. __________________________

7. 2 7

5 5 7. __________________________

8. 27 9 8. __________________________

9. 2

8 9. __________________________

10. 22.8 10. __________________________

11. 3

2

3 11. __________________________

12. 44 12. __________________________

13. 8 2 6 4 13. __________________________

14. 2

3 2 4 3 14. __________________________

15. 7 5 3 2 15. __________________________

16. 5 8 7 4 16. __________________________

17. 22 3 4x y x y 17. __________________________

18. 7 8x y 18. __________________________


T-15


19. 2 24 3 5 7x y x y 19. __________________________

20. 2 24 7 3 2x x x x 20. __________________________

21. 6 3 5 2 3 10x x 21. __________________________

22. 23 2 7 5 3 4x xy x x y 22. __________________________

23. Evaluate: 32 5x x for 2x 23. __________________________

24. Evaluate: 23 4ab a for 2a and 4b 24. __________________________

25. Find A if 1

2A bh for 12b and 9h . 25. __________________________

26. Simplify: 2 3 4 7x 26. __________________________

27. Simplify: 4 3 2 3 5x x x 27. __________________________


T-16


Date:

Simplify.

1. 2 3

a. 1 b. 1 c. 5 d. 5 2. 2 5 6

a. 13 b. 3 c. 3 d. 1 3. 6 5 2 4

a. 5 b. 1 c. 17 d. 5 4. 3 5

a. 8 b. 2 c. 2 d. 8 5. 3 5 2

a. 13 b. 30 c. 30 d. 15

6. 6

3

a. 18 b. 2 c. 2 d. 18 7. 2.5 5

a. 12.5 b. 5 c. 12.5 d. 5 8. 36 3

a. 108 b. 108 c. 12 d. 12

9. 2

2

a. 4 b. 4 c. 0 d. 1

10. 22

a. 4 b. 4 c. 0 d. 1

11. 2

4

5

a. 16

25 b.

16

25 c.

8

10 d.

8

10

12. 35

a. 125 b. 125 c. 15 d. 15 13. 2 3 4 6

a. 2 b. 2 c. 12 d. 8

14. 2

7 2 5 3

a. 69 b. 13 c. 43 d. 573


T-17


15. 2 4 1 3

3 5 2 4

a. 1

15

b. 19

120 c.

2

15 d.

109

120

16. 22 3 5 4

a. 20 b. 12 c. 20 d. 12 17. 3 2 3xy x y

a. 2 26 9x y xy b. 26 9x y xy c. 2 23x y d. 2 26 9x y xy

18. 3 7x y

a. 3 7x y b. 3 7x y c. 3 7x y d. 3 7x y

19. 2 23 7 4 2x y x y

a. 27 9x y b. 22x y c. 27 5x y d. 27 9x y

20. 2 23 2 3 5 6x x y x y x

a. 25 8 6x y x b. 2 4x y x c. 25 8 6x y x d. 2 2 6x y x

21. 2 3 5 2 4 6x x

a. 14 22x b. 14 22x c. 2 22x d. 2 2x

22. 2 22 3 5 6y x y x xy xy

a. 2 2 2 236 2 5x y y x b. 2 2 236 5x y x c. 2 2 2 22 30x y y x y d. 2 233x y

23. Evaluate 22 3x x for 3x . a. 27 b. 9 c. 9 d. 27

24. Evaluate 22ab ab for 3a and 2b . a. 30 b. 30 c. 18 d. 18 25. Find F in the formula F ma when 6.2m and 85a . a. 91.2 b. 13.7 c. 533 d. 527

26. Simplify: 3 2 5 3 3 4x x

a. 33 51x b. 21 51x c. 21 21x d. 21 21x

27. Simplify: 23 4 2 3 3x x x x y

a. 225 12x xy b. 2 4x xy c. 27 4x xy d. 27 4x xy


T-18


Date:

Simplify.

1. 13 5 19 1. __________________________

2. 5.6 3.1 2. __________________________

3. 12 3 3. __________________________

4. 4 2 1 5 4. __________________________

5. 4.8 0.4 5. __________________________

6. 35

7 6. __________________________

7. 25 7. __________________________

8. 43 8. __________________________

9. 4 2 5 4 9. __________________________

10. 3 5 7 8y x y 10. __________________________

11. 2 4 2 2 35 2 4 3x y x xy y 11. __________________________

12. 2 21 1 1 1

4 4 3 4a b ab a b ab 12. __________________________

13. 2 3 4 3 2 3x x y x x y 13. __________________________

14. 22 2 3 3 4x x y x y 14. __________________________

15. Evaluate 22 4x y for 3x and 2y . 15. __________________________

16. Evaluate 24xy for 5x and 7y . 16. __________________________

17. Evaluate 6 12b ab for 1

2a and

2

3b . 17. __________________________

18. A trapezoid has an altitude of 48 and bases of 12 and 24. Find 18. __________________________ the area.

19. A man walks around a circular pool. If the diameter of the pool is 19. __________________________ 10 feet, how far does the man walk? Use 3.14 .

20. Simplify: 3 2 5 4 3 3x 20. __________________________


T-19


Date:

Simplify.

1. 2 6 5 1. __________________________

2. 9.2 13.4 2. __________________________

3. 8 8 3. __________________________

4. 3 4 4 5 4. __________________________

5. 3.6 4 5. __________________________

6. 42

6 6. __________________________

7. 3

7 7. __________________________

8. 47 8. __________________________

9. 5 2 3 6 9. __________________________

10. 3 5 3 5x x y 10. __________________________

11. 3 5 2 3 53 4 3 4x y x xy y 11. __________________________

12. 2 22 3 12

3 4 2m n mn m n mn 12. __________________________

13. 5 2 3 2 4 6x x y x x y 13. __________________________

14. 23 4 4 3x x y x y 14. __________________________

15. Evaluate 4 3xy y for 3x and 4y . 15. __________________________

16. Evaluate 23x for 4x . 16. __________________________

17. Evaluate 22 5p pq for 3p and 2

3q . 17. __________________________



20. Simplify: 6 3 8 2 3 5 20. __________________________


T-20


Date:

Simplify.

1. 4 5 5 1. __________________________

2. 12 2.4 2. __________________________

3. 7 30 3. __________________________

4. 5 2 3 5 4. __________________________

5. 1.6 0.8 5. __________________________

6. 36

9 6. __________________________

7. 211 7. __________________________

8. 5

3 8. __________________________

9. 15 3 22 30 9. __________________________

10. 26 2 4 3x x y 10. __________________________

11. 4 3 2 2 3 52 4 5x y x x y y 11. __________________________

12. 2 21 1 1 3

4 8 3 8a b ab a b ab 12. __________________________

13. 5 4 2 3 2 6y x y y x y 13. __________________________

14. 24 3 5 6 7x x y x y 14. __________________________

15. Evaluate 24 3xy xy for 1x and 3y . 15. __________________________

16. Evaluate 23 5x x for 5x . 16. __________________________

17. Evaluate 6 3a b for 1

2a and

2

3b . 17. __________________________



20. Simplify: 6 2 4 3 4 3 1 20. __________________________


T-21


Date:

Simplify.

1. 2 5 1. __________________________

2. 15 24 2. __________________________

3. 6 4 3. __________________________

4. 5 3 10 8 4. __________________________

5. 2.5 0.01 5. __________________________

6. 36

4 6. __________________________

7. 3

5 7. __________________________

8. 4

3 8. __________________________

9. 10 4 4 3 9. __________________________

10. 2 22 3 5xy x xy y 10. __________________________

11. 4 3 3 2 4 53 2 3 3x y x x y y 11. __________________________

12. 2 22 32

5 4a b ab a b ab 12. __________________________

13. 2 3 5 5 2 4y x y y x y 13. __________________________

14. 24 3 3 2 3x x y x y 14. __________________________

15. Evaluate 25 3x y y for 2x and 3y . 15. __________________________

16. Evaluate 22x x for 3x . 16. __________________________


2a and

1

5b . 17. __________________________


19. A man walks around a circular pool. If the diameter of the pool is 19. __________________________ 9.5 feet, how far does the man walk? Use 3.14 .

20. Simplify: 9 7 4 3 5 3 4x x 20. __________________________


T-22


Date:

Simplify.

1. 3 2 6 5

a. 6 b. 16 c. 10 d. 12

2. 6 5

a. 11 b. 1 c. 1 d. 11

3. 5 6

a. 30 b. 30 c. 11 d. 1 4. 2 3 6 5

a. 180 b. 180 c. 24 d. 36

5. 28

4

a. 7 b. 7 c. 112 d. 112 6. 2.4 0.6

a. 0.4 b. 0.4 c. 4 d. 4

7. 3

3

a. 9 b. 27 c. 9 d. 27

8. 2

3.2

a. 10.24 b. 6.4 c. 6.4 d. 10.24 9. 3 5 2 4 3 1

a. 1 b. 12 c. 13 d. 10 10. 2 3 5x x y

a. 26 10x xy b. 26 10x xy c. 6 10x y d. 26 10x y

11. 23 2 3 7x y x y

a. 3 2 2 26 9 21x y x y x y b. 2 2 2 26 9 21x y x y x y

c. 3 2 2 26 9 21x y x y x y d. 3 2 26 9 21x y x y x y

12. 2 21 1 3 1

2 2 2 2ab a b ab a b

a. 2ab a b b. 22ab a b c. 2ab d. 2ab a b 13. 3 5 2 5x x

a. 5 25x b. 25x c. 5x d. 5x


T-23


14. 2 3 4 3 3 4x x y x x y


15. Evaluate 2 4 6x xy y for 2x and 2y .

a. 0 b. 32 c. 8 d. 24 16. Evaluate 23 5 7x x for 3x .

a. 49 b. 19 c. 5 d. 49


2a and

3

4b .

a. 13

4 b.

16

4 c.

5

4 d.

5

4

18. A right triangle has an altitude of 4 inches and a base of 9 inches. Find the area.

a. 9 2in. b. 36 2in. c. 72 2in. d. 18 2in. 19. A sprinkler in a cotton field travels in a circle with radius 20 feet. Find the area watered if one complete circle

is made. Use 3.14 . a. 62.8 square feet b. 125.6 square feet c. 314 square feet d. 1256 square feet 20. Simplify: 3 2 5 3 2 3 2 2 7x x

a. 23 49x b. 11x c. 31 4x d. 23 31x


T-24


Date:

Simplify.

1. 2 3 6 5

a. 4 b. 0 c. 2 d. 6

2. 1.4 1.9

a. 3.3 b. 3.3 c. 0.5 d. 0.5

3. 12 6

a. 72 b. 18 c. 72 d. 6

4. 2 5 4 1

a. 40 b. 40 c. 6 d. 14

5. 2.4 0.6

a. 40 b. 40 c. 4 d. 0.4

6. 21

7

a. 3 b. 3 c. 28 d. 14

7.

25

a. 25 b. 10 c. 25 d. 10

8. 23

a. 9 b. 9 c. 6 d. 6

9.

28 14 9

a. 9 b. 17 c. 15 d. 3

10. 5 2 3 8x x y

a. 10 15 40x xy x b. 210 15 40x xy x

c. 210 15 40x xy x d. 220 15 40x xy x

11. 2 2 24 3 4 4x y x xy y

a. 3 2 3 3 2 412 16 16x y x y x y b. 3 2 2 2 212 16 16x y x y x y

c. 3 2 3 3 2 412 16 16x y x y x y d. 3 2 3 3 2 412 16 16x y x y x y

12. 2 23 1 1 1

2 4 3 4a b ab ab a b

a. 25 1

4 12a b ab b. 21

2a b ab c. 25 1

2 12a b ab d. 27 1

4 12a b ab


T-25


13. 2 3 4 2 5x x y x x y


14. 22 4 2 5x x y x y

a. 24 4 5x xy y b. xy c. 4 5xy y d. 24x y

15. Evaluate 2 4x y for 3x and 5y .

a. 18 b. 11 c. 29 d. 11

16. Evaluate 2 34x y for 4x and 2y .

a. 512 b. 256 c. 512 d. 256

17. Evaluate: 2 4ab ab for 1

2a and

1

3b .

a. 1 b. 1

3 c. 1 d.

1

3

18. A trapezoid has an altitude of 40 and bases of 20 and 30. Find the area. a. 1220 sq. units b. 2000 sq. units c. 1000 sq. units d. 24,000 sq. units

19. A man walks around a circular pool. If the diameter of the pool is 8 feet, how far does the man walk?

Use 3.14 . a. 25.12 feet b. 12.56 feet c. 37.68 feet d. 200.96 feet

20. Simplify: 4 2 3 4 2 5x

a. 16 50x b. 48 138x c. 8 42x d. 8 30x


T-26


Date:

Solve the equation.

1. 9 25x 1. ____________________________

2. 1

126

x 2. ____________________________

3. 5 20x 3. ____________________________

4. 7 5 30x 4. ____________________________

5. 9 2 7 8x x 5. ____________________________

6. 3 7 8 12 20x x 6. ____________________________

7. 2.1 1.5 2.2 9x x 7. ____________________________

8. 2(3 5) 8 4( 7) 2x x 8. ____________________________

9. 2 4 7 1

3 5 5 3x x 9. ____________________________

10. 1 3

(2 2) 3 12 4

x x 10. ____________________________

Write an algebraic expression. Use x to represent the unknown.

11. 8 is subtracted from triple a number. 11. ____________________________

Translate into an equation and solve.

12. Five subtracted from twice a number is 17. Find the number. 12. ____________________________

13. One number is added to three times the number. The sum is 48. 13. ____________________________ Find the number.

14. The second side of a triangle is twice the length of the first. The 14. ____________________________ third side is 3 more than the first. Find the three sides if the perimeter is 31.

15. Find the volume of a right cylinder whose height is 10 feet and 15. ____________________________ the radius of the base is 5 feet. Use 3.14π ≈ .

16. Find the area of a triangle whose base is 16 in. and height is 12 in. 16. ____________________________

Replace ? with < or >.

17. 10 ? 5 17. ____________________________

18. 8 ? 12 18. ____________________________

Solve the inequality.

19. 2 5 3x 19. ____________________________

20. 8 3 11x 20. ____________________________


T-27


Date:

Solve the equation.

1. 6 9x a. 3 b. 3 c. 15 d. 15

2. 1

155

x

a. 3 b. 10 c. 75 d. 20

3. 6 12x a. 2 b. 18 c. 6 d. 2

4. 3 2 9x

a. 11

3 b.

7

3 c.

7

3 d.

11

3

5. 2 5 3 6x x

a. 1 b. 1 c. 11

5 d.

11

5

6. 3 4 6 8 2 4x x x

a. 0 b. 12

5 c. 4 d. 2

7. 5.7 3.1 2.5 0.1x x a. 2 b. 0 c. 1 d. 2

8. 3( 5) 4 6 2( 4)x x x

a. 3 b. 19 c. 3 d. 19

7

9. 1 3 1 1

2 4 4 2x x

a. 4 b. 1

3 c.

1

3 d. 5

10. 1 3 1 1

2 4 4 2x x

a. 7

3 b.

7

3 c. 5 d.

7

6


11. Six times a number is increased by 7. a. 6 7x − b. 6 7x + c. 6 7x+ d. 6 7x+ +


T-28



12. A number is multiplied by 3 and 6 is added. The result is 15. Find the number. a. 7 b. 3 c. 4 d. 5

13. Rent-a-Car charges $40 a day plus 25 cents a mile. How many miles did you drive if you paid $90? a. 2 miles b. 520 miles c. 200 miles d. 52 miles

14. The perimeter of a rectangular field is 120 feet. If the length is twice the width, find the length and width. a. 30, 60 feet b. 60, 60 feet c. 40, 80 feet d. 20, 40 feet

15. If the altitude of a trapezoid is 12 inches, one base is 5 inches, and the other base is 9 inches, find the area. a. 168 sq. in. b. 84 sq. in. c. 76.5 sq. in. d. 52.5 sq. in.

16. A spherical ball has a radius of 4 inches. What is the volume? Use 3.14π ≈ . Round to the nearest whole number.

a. 50 cubic in. b. 268 cu. in. c. 100 cu. in. d. 402 cu. in.


17. 0 ? 4 a. > b. <

18. 10 ? 2 a. > b. <


19. 3 2 4 6x x a. 8x b. 8x c. 4x d. 4x

20. 6 3 15x a. 7x b. 3x c. 3x d. 7x


T-29


Date:

Solve the equation.

1. 10 12x 1. ____________________________

2. 5 35x 2. ____________________________

3. 1

124

x 3. ____________________________

4. 6 7 53x 4. ____________________________

5. 6 8 4 10x x 5. ____________________________

6. 6 2 3 4 12x x 6. ____________________________

7. 1.7 2.5 2.9 7.3x x 7. ____________________________

8. 3(2 5) 6 4 2( 8)x x 8. ____________________________

9. 1

6 93

x 9. ____________________________

10. 1 2 1 2

5 5 3 3x x 10. ____________________________

11. Ten less than half of a number is 15. Find the number. 11. ____________________________

12. Twice the sum of a number and 12 is 70. Find the number. 12. ____________________________

13. Three-fourths of seven less than a number is forty-two. Find the 13. ____________________________ number.

14. One circle has a radius of 8 m, and a second circle has a radius of 14. ____________________________ 10 m. What is the difference in area of the two circles? Use

3.14π = as an approximation.

15. Each of the equal angles of an isosceles triangle measures 25° less 15. ____________________________ than twice the vertex angle. Find the measure of the vertex angle.

16. A sphere has a diameter of 12 m. Find its volume using π = 3.14 16. ____________________________ as an approximation.


17. 0 ? 7 17. ____________________________

18. 5 ? 7 18. ____________________________


19. 2 3 5 8x x 19. ____________________________

20. 5 6 41x 20. ____________________________


T-30


Date:

Solve the equation.

1. 9 2x 1. ____________________________

2. 7 56x 2. ____________________________

3. 1

153

x 3. ____________________________

4. 4 7 29x 4. ____________________________

5. 7 8 4 5x x 5. ____________________________

6. 2 3 5 8x x 6. ____________________________

7. 2 1.3 2 1.3x x 7. ____________________________

8. 6( 5) 5 4 2( 1)x x x 8. ____________________________

9. 1

5 122

x 9. ____________________________

10. 8 7 5 6x x 10. ____________________________

11. Nineteen less than the product of a number and eight is 61. Find 11. ____________________________ the number.

12. Four more than half a number is 11. Find the number. 12. ____________________________

13. Six less than triple a number is twenty-seven. Find the number. 13. ____________________________

14. Find the area of a circle with a diameter of 18 cm. Use π = 3.14 14. ____________________________ as an approximation.

15. Find the area of a triangle whose base is 146 in. and whose altitude 15. ____________________________

is 237 in.

16. Find the volume of a sphere with radius of 15 m. Use π = 3.14 16. ____________________________ as an approximation.


17. 0 ? 8 17. ____________________________

18. 53 ? 52 18. ____________________________


19. 3 4( 2) 8x x 19. ____________________________

20. 6 8 8 10x x 20. ____________________________


T-31


Date:

Solve the equation.

1. 17 24x 1. ____________________________

2. 6 18x 2. ____________________________

3. 1

105

x 3. ____________________________

4. 8 5 1x 4. ____________________________

5. 8 7 5 11x x 5. ____________________________

6. 18 3 4( 3)x x 6. ____________________________

7. 32 8 (5 16)x x 7. ____________________________

8. 2(6 3) 15 8( 4)x x 8. ____________________________

9. 3(2 2) 8 4( 1) 6 2x x x 9. ____________________________

10. 5 3.8 3.7y 10. ____________________________

11. Eight less than a fourth of a number is twenty. Find the number. 11. ____________________________

12. Three times a number plus thirteen is thirty-four. Find the number. 12. ____________________________

13. A number is divided by 8 and the outcome increased by 11. The 13. ____________________________ result is 42. Find the number.

14. Find the surface area of a sphere with a diameter of 18 cm. Use 14. ____________________________ 3.14 as an approximation.

15. One triangle has a base of length 8 in. and an altitude of 12 in. 15. ____________________________ Another triangle has a base of length 8 in. and an altitude of 16 in. Find the difference in the area of the two triangles.

16. A right circular cylinder has radius 28 in. and height 60 in. Find 16. ____________________________ its volume using 3.14 as an approximation.


17. 0 ? 5 17. ____________________________

18. 10 ? 2 18. ____________________________


19. 1

(2 6) 3 52

x x 19. ____________________________

20. 6(2 ) 4 2( 4)x x 20. ____________________________


T-32


Date:

Solve the equation.

1. 8 11x 1. ____________________________

2. 4 24x 2. ____________________________

3. 1

123

x 3. ____________________________

4. 6 7 5x 4. ____________________________

5. 7 9 4 12x x 5. ____________________________

6. 2 ( 2) 14 12x x 6. ____________________________

7. 12 2 6 4( 5)x x x 7. ____________________________

8. 3(2 6) 8 4(7 ) 3x x x 8. ____________________________

9. 6 8 3 5 7 12 9x x x 9. ____________________________

10. 2.1 3.7 3.3 10.9x x 10. ____________________________

11. Thirteen more than two-thirds of a number is 17. Find the number. 11. ____________________________

12. The sum of half a number and nine is 15. Find the number. 12. ____________________________

13. A number is halved and the outcome then increased by nine. The 13. ____________________________ result is fifty-seven. What is the original number?

14. A circle has a circumference of 109.9 cm. What is the diameter 14. ____________________________ of the circle? Use 3.14 as an approximation.

15. Each of the equal angles of an isosceles triangle measures 14 ° 15. ____________________________ more than the vertex angle. Find the measure of each of the equal angles.

16. A right circular cylinder has a height of 6 inches and a diameter of 16. ____________________________ 8 inches. Find its volume using 3.14 as an approximation.


17. 2 ? 25 17. ____________________________

18. 12 ? 0 18. ____________________________


19. 4 2(4 6) 12x x 19. ____________________________

20. 8 12 10 24x x 20. ____________________________


T-33


Date:

Solve the equation.

1. 9 8x a. 1 b. 1 c. 17 d. 17

2. 1

2010

x

a. 30 b. 10 c. 200 d. 2

3. 4 48x

a. 12 b. 44 c. 52 d. 1

12

4. 7 3 25x

a. 22

7 b. 21 c.

22

7 d. 4

5. 5 9 2 12x x

a. 7 b. 3

7 c. 3 d. 7

6. 6 3 3 6 5 12 3 5x x x x

a. 5 b. 2 c. 5

2 d. 20

7. 3.5 7.2 2.1 4.4x x a. 2 b. 5 c. 2 d. 5

8. 3(2 5) 8 6 (2 3)x x x

a. 1 b. 5 c. 0 d. 2

9. 1 1 2 2

7 5 7 5x x

a. 7

3 b.

3

7 c.

5

21 d.

21

5

10. 1 1 1

( 1)3 2 3

x x

a. 4 b. 0 c. 2 d. 3


11. Twelve less than three times a number. a. 12 3x− b. 3( 12)x − c. 3 12x − d. 3( 12)x −


T-34


12. Two-thirds of the sum of a number and twelve.

a. 2

( 12)3

x + ÷ b. 2

123

x ÷ + c. 2

( 12)3

x + d. 2

123

x +


13. Seven subtracted from three times a number is 20. Find the number.

a. 13

3 b.

13

3− c. 3 d. 9

14. Find the area of a circle with a diameter of 10 inches. Use 3.14π = . a. 78.5 sq. in. b. 31.4 sq. in. c. 314 sq. in. d. 15.7 sq. in.

15. Find the area of a trapezoid with height of 12 and bases of 8 and 15. a. 276 b. 186 c. 228 d. 138

16. Find the volume of a sphere with a radius of 8 in. Use 3.14π = and round to a whole number. a. 113 cu. in. b. 4069 cu. in. c. 904 cu. in. d. 2144 cu. in.


17. 0 ? 15 a. > b. <

18. 80 ? 54 a. > b. <


19. 2 (3 6) 18x x

a. 24x b. 24x c. 24x d. 24x

20. 4 (2 8) 6 5x x x

a. 13

4x b.

13

4x c.

13

4x d.

13

4x


T-35


Date:

Solve the equation.

1. 8 2x a. 6 b. 10 c. 6 d. 10

2. 2 20x a. 22 b. 10 c. 22 d. 10

3. 1

186

x

a. 3 b. 12 c. 108 d. 24

4. 4 13 7x

a. 5 b. 3

2 c.

1

5 d. 2

5. 5 2 8 5x x

a. 1 b. 1 c. 7

3 d.

11

7

6. 3 2 5 6 4x x x a. 3 b. 3 c. 1 d. 1

7. 2.4 1.7 3.1 1.14x x a. 1.5 b. 0.8 c. 0.8 d. 2

8. 3(2 5) 4 3( 2)x x x x

a. 9

2 b.

21

2 c.

9

2 d.

21

2

9. 1 2 1 1

3 3 2 3x x

a. 7

4 b.

7

4 c.

1

4 d.

1

4

10. 1 1 3 1

( 2)5 2 4 8

x x

a. 0 b. 2 c. 34

3 d. 22


11. 8 subtracted from five times a number. a. 8 5x− b. 8 5x − c. 5 8x− d. 5 8x −


T-36


12. One-third of the difference of a number and six.

a. 1

( 6)3

x − b. 1

(6 )3

x− c. 1

63

x − d. 1

63

x−


13. 8 subtracted from five times a number is 27. Find the number.

a. 19

5− b. 4 c.

11

4− d. 7

14. The perimeter of an equilateral triangle is 81 inches. How long is each side? a. 9 in. b. 27 in. c. 40.5 in. d. 30 in.

15. Find the surface area of a circular cylinder with a radius of 3 feet and height of 12 feet. Use 3.14π = and

round to the nearest whole foot. a. 490 sq. ft. b. 264 sq. ft. c. 283 sq. ft. d. 509 sq. ft.

16. Find the volume of a circular cylinder with a radius of 3 feet and height of 12 feet. Use 3.14π = and round to the nearest whole foot.

a. 226 cu. ft. b. 339 cu. ft. c. 1356 cu. ft. d. 452 cu. ft.


17. 16 ? 48 a. > b. <

18. 110 ? 3 a. > b. <


19. 5 6 8 4x x

a. 1

14x b.

1

14x c.

9

2x d.

9

2x

20. 8 2 0x a. 4x b. 4x c. 4x d. 4x


T-37

Chapters 0–2 Cumulative Test Form A

Name:

Date:

1. Add: 2 3

3 43 5

1. ____________________________

2. Subtract: 7 5

8 6 2. ____________________________

3. Divide: 2 11

2 15 25

3. ____________________________

4. Multiply: (1.8)(3.06) 4. ____________________________

5. Divide: 0.065 1.3 5. ____________________________

6. What is 18% of 360? 6. ____________________________

7. Multiply: ( 2)( 1)(5)( 3) 7. ____________________________

8. Simplify: 8 ( 2) 8. ____________________________

9. Simplify: 2( 3) 9. ____________________________

10. Simplify: 3 2(4 6)x x 10. ____________________________

11. Solve: 3(2 5) 5 15x x 11. ____________________________

12. Solve: 1

( 6) 22

x x 12. ____________________________

13. Solve: 3 2(4 ) 6 3x x x 13. ____________________________

14. Solve: 4 3(2 5) 4 6x x 14. ____________________________

15. Solve: 2.5 3.6 1.01 20.94x x 15. ____________________________

16. Six less than half of a number is 12. Find the number. 16. ____________________________

17. Twice the sum of a number and 7 is 112. Find the number. 17. ____________________________

18. Find the area of a circle with a radius of 15 inches. Use π = 3.14 18. ____________________________ as an approximation.

19. Solve: 1

( 2) 52

x x 19. ____________________________

20. Solve: 5 2 21x 20. ____________________________


T-38

Chapters 0–2 Cumulative Test Form B

Name:

Date:

1. Subtract: 5 3

8 5

a. 1

40 b.

3

8 c.

2

3 d.

2

7

2. Add: 4 1

3 25 3

a. 1

53

b. 7

115

c. 2

615

d. 5

58

3. Divide: 1 1

3 55 3

a. 15 b. 5

3 c.

11

15 d.

3

5

4. Multiply: (6.8)(3.4)

a. 23.12 b. 0.2312 c. 231.2 d. 2.312

5. Divide: 7.5 1.5 a. 0.2 b. 20 c. 0.5 d. 5

6. What is 24% of 720? a. 30 b. 172.8 c. 3000 d. 17,280

7. Multiply: ( 2)( 7)( 5)( 3)

a. 210 b. 17 c. 210 d. 17

8. Simplify: 28 a. 64 b. 64 c. 16 d. 16

9. Simplify: 12 ( 4)

a. 8 b. 16 c. 16 d. 3

10. Simplify: 3 2( 5)x x

a. 10x b. 10x c. 5 10x d. 5 10x


T-39

Chapters 0–2 Cumulative Test Form B (cont.)

Name:

11. Solve: 6(2 5) 20 2 10x x

a. 5 b. 3

2 c.

30

7 d. 4

12. Solve: 3 7 20x

a. 13

3 b. 9 c. 9 d.

13

3

13. Solve: 4 3( 6) 2 12x x x

a. 30 b. 18 c. 18 d. 6

14. Solve: 6 2(3 6) 6x

a. 3 b. 0 c. 2 d. 1

15. Solve: 7.5 2.5 5x a. 10 b. 10 c. 1 d. 1

16. Four subtracted from three times a number is 56. Find the number. a. 15 b. 20 c. 3 d. 9

17. Half of the sum of a number and 23 is 19. Find the number. a. 19 b. 21 c. 8 d. 15

18. The perimeter of an equilateral triangle is 45 inches. How long is each side? a. 15 in. b. 5 in. c. 22.5 in. d. 9 in.

19. Solve: 3 5 4 8x x a. 13x b. 13x c. 13x d. 13x

20. Solve: 5 2( 6) 13x

a. 10x b. 10x c. 2x d. 2x


T-40


Date:

1. Plot and label the following points:

3, 4A , 2,0B , 0, 4C

1.

x

y

2. What are the coordinates of the following points: 2. __________________________

D

E

F

y

−5

5

5

−5

x

3. Find the missing coordinate of 2, that is a solution to the 3. __________________________

equation 3 6x y− = .

4. Graph: 3 12x y− = 4.

x

y

5. Graph: 3y = 5.

x

y

6. What is the slope of the line passing through 2,4 and 6, 5 ? 6. __________________________


T-41


7. Find the slope of the line: 2 5 6x y 7. __________________________

8. Write the equation of the line with slope = 4 and y-intercept 0, 6 . 8. __________________________

9. Graph: 3 4 6x y 9.

x

y

10. Write the equation of the line shown on the graph. 10. __________________________

y

x

5−5

−5

5

11. Line l has slope 4m . What is the slope of a line parallel to l ? 11. __________________________

12. Find the equation of the line with slope = 47 that passes 12. __________________________

through the point 2,4 .

13. Find the equation of the line that passes through 4,6 and 2,8 . 13. __________________________

14. Graph: 2y x≥ 14.

x

y


T-42


15. Graph: 2 6x y 15.

x

y

16. Is the following relation a function? 22 3y x 16. __________________________

17. Does the following graph represent a function? 17. __________________________ y

x

5−5

−5

5

18. Find 1f for 3 7f x x 18. __________________________

19. Find 2g for 22 3 5g x x x 19. __________________________

20. Find the slope and y-intercept: 4 2 7 0x y 20. __________________________


T-43


Date:

1. Which point is at ( )2,4− ?

AB

C D

y

x

5−5

−5

5

a. A b. B c. C d. D

2. What are the coordinates of the point F?

F

y

x

5−5

−5

5

a. 0, 4 b. 4,0 c. 4,0 d. 0, 4

3. Find the missing coordinate of , 3 that is a solution to the equation 5 2y x

a. 3 b. 1 c. 0 d. 1 4. Graph: 4 8x y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5


T-44


5. Graph: 2x

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

6. What is the slope of the line passing through 5, 4 and 2, 6 ?

a. 27 b. 6 c. 10

7 d. 27

7. Find the slope of the line: 5 4 6x y

a. 45 b. 4

5 c. 54 d. 5

4

8. Write the equation of the line with slope = 12 and y-intercept 0,6 .

a. 1

62

y x b. 1

62

y x c. 1

62

y x d. 1

62

y x

9. Graph: 2 3y x

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5


T-45


10. Write the equation of the line shown on the graph.

y

x

5−5

−5

5

a. 2 6y x b. 2 6y x c. 2 6y x d. 2 6y x

11. Line l has a slope of 35 . What is the slope of a line perpendicular to line l ?

a. 53 b. 5

3 c. 35 d. 3

5

12. Find the equation of the line with slope = 15 that passes through the point 2,4 .

a. 6x y b. 5 22x y c. 5 22x y d. 5 18x y

13. Find the equation of the line that passes through 0, 4 and 2,6 .

a. 4x y b. 4x y c. 5 4x y d. 5 4x y

14. Graph: 2 3y x

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5


T-46


15. Graph: 2 3 12x y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

16. Is the following relation a function? 2 2x y

a. Yes b. No 17. Does the following graph represent a function?

y

x

5−5

−5

5

a. Yes b. No

18. Find 1f for 23 4f x x x

a. 7 b. 7 c. 1 d. 1 19. Find 0g for 3 4g x x

a. 4 b. 4 c. 7 d. 1 20. Find the slope and y-intercept: 3 2 4 0x y

a. 3m ,

y-int. = 0, 4

b. 2m ,

y-int. = 0,3 c.

2

3m ,

y-int. = 0, 4

d. 3

2m = − ,

y-int. = 0, 2


T-47


Date:


3, 2A , 0, 4B , 4, 3C

1.

x

y

2. Graph: 3x = − 2.

x

y

3. Graph: 4 8x y− = 3.

x

y

4. Graph: 1

42

y x 4.

x

y

5. Find the slope and y-intercept: 4 6 0x y 5. __________________________

6. Find the slope of the line passing through 6,8 and 10,3 . 6. __________________________

7. Write the equation of the line with slope = 6 that passes 7. __________________________ through 4, 6 .


T-48

Chapter 3 Test Form A (cont.) Name:

8. Find the slope of the line passing through ( )4,8 and 4, 11 . 8. __________________________

9. Find the equation of the line passing through 6,3 and 6, 4 . 9. __________________________

10. Find the equation of the line passing through 6, 4 and 8, 2 . 10. __________________________

11. Graph: 2 0x y

x

y

12. Graph: 2 6x y

x

y

13. Is the following relation a function? 3,6 , 4,6 , 5,6 , 6,6 13. __________________________

14. Does the following graph represent a function? 14. __________________________

−5

5

y

x

5−5

15. Graph: 2 6y x 15.

x

y

16. Find 2f for 2 3f x x x . 16. __________________________

17. Find 2g for 3

2

xg x

x. 17. __________________________


T-49


Date:


0,6A , 2, 4B , 3, 1C

1.

x

y

2. Graph: 2 6x y 2.

x

y

3. Graph: 4x 3.

x

y

4. Graph: 1

43

y x= − − 4.

x

y


6. Find the slope of the line passing through 2, 8 and 10, 6 . 6. __________________________

7. Write the equation of the line with slope = 5 and passing 7. __________________________ through 0, 4 .


T-50

Chapter 3 Test Form B (cont.) Name:


9. Find the equation of the line passing through 3,8 and 4,8 . 9. __________________________

10. Find the equation of the line passing through ( )5, 7− and ( )10,6 . 10. __________________________

11. Graph: 7 14x y+ ≤

x

y

12. Graph: 3 2 6x y

x

y

13. Is the following relation a function? 2, 4 , 3,6 , 2,5 13. __________________________


−5

5

y

x

5−5

15. Graph: 23 5y x 15.

x

y

16. Find 4f for 23f x x x . 16. __________________________

17. Find 6g for 3 4g x x . 17. __________________________


T-51


Date:


3,0A , 4,2B , 2, 2C

1.

x

y

2. Graph: 3 4 8x y 2.

x

y

3. Graph: 2y = − 3.

x

y

4. Graph: 2

63

y x= − 4.

x

y



7. Write the equation of the line with slope = 3

5 and passing 7. __________________________

through 6, 4 .


T-52

Chapter 3 Test Form C (cont.) Name:




11. Graph: 3 0x y− ≤

x

y

12. Graph: 6y x≥ −

x

y

13. Is the following relation a function? 1,3 , 1,5 , 1,7 , 1,4 13. __________________________


−5

5

5−5

y

x

15. Graph: 2 3y x 15.

x

y

16. Find 0f for 23 2 9f x x x . 16. __________________________

17. Find 1g for 1

2 3

xg x

x. 17. __________________________


T-53


Date:


3,0A , 2, 4B , 4,5C

1.

x

y

2. Graph: 3 2x y 2.

x

y

3. Graph: 4x = 3.

x

y

4. Graph: 3 4y x 4.

x

y



7. Write the equation of the line with slope = 8 and passing 7. __________________________ through 2, 5 .


T-54

Chapter 3 Test Form D (cont.) Name:

8. Find the slope of the line passing through 8, 4 and 7,4 . 8. __________________________

9. Find the equation of the line passing through 8, 4 and 7,4 . 9. __________________________


11. Graph: 2x >

x

y

12. Graph: 2

53

y x< −

x

y

13. Is the following relation a function? 3,6 , 4, 2 , 5, 7 13. __________________________


−5

5

5−5

y

x

15. Graph: 2 4y x= − − 15.

x

y

16. Find ( )6f − for ( ) 6f x x x= − − . 16. __________________________

17. Find 6g for 3 4

6

xg x

x. 17. __________________________


T-55


Date:

1. What are the coordinates of point A?

A

y

x

5−5

−5

5

a. 2,3 b. 2,3 c. 2, 3 d. 2, 3 2. Graph: 4 5 8x y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

3. Graph: 2 4x y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5


T-56


4. Graph: 2

23

y x

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

5. Find the slope and y-intercept: 3 7 4x y

a. 3

7m ,

40,

7 b.

3

7m ,

40,

7 c.

4

7m ,

30,

7 d.

3

7m , 0, 4

6. Find the slope of the line passing through 4,6 and 2,5 .

a. 1

2 b. 2 c.

1

2 d.

1

6


3 and passing through 2, 3 .

a. 3 11x y b. 3 3x y c. 3 7x y d. 3 7 6x y

8. Find the slope of the line passing through 2,6 and 2,5 .

a. 0 b. 1 c. 1 d. undefined 9. Find the equation of the line passing through 2,6 and 2,5

a. 6y b. 2x c. 2 6 11x y d. 5y

10. Find the equation of the line passing through 2,4 and 3,8 .

a. 4 5 28x y b. 4 5 12x y c. 5 4 26x y d. 5 4 6x y


T-57


11. Graph: 4 2x y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

12. Graph: 3 6x y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

13. Is the following a function? 6, 4 , 8,2 , 0, 4 , 6, 2

a. Yes b. No


T-58


14. Does the following graph represent a function?

y

x

5−5

−5

5

a. Yes b. No 15. Graph: 2 4y x

a.

8

−2

y

x

5−5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

16. Find 1f for 3 6f x x

a. 3 b. 0 c. 9 d. 3

17. Find 0g for 2

3

xg x

x

a. 0 b. 23 c. 3 d. undefined


T-59


Date:

1. What are the coordinates of point A?

A

y

x

5−5

−5

5

a. 2, 1 b. 2, 1 c. 2,1 d. 2,1 2. Graph: 4 2 0x y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

3. Graph: 2 3 9x y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5


T-60


4. Graph: 4y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

5. Find the slope and y-intercept: 6 2 12x y

a. 3m , 0, 2 b. 1

3m , 0, 2 c.

1

3m , 0, 2 d. 3m , 0, 6


a. 2 7 34x y b. 2 7 50x y c. 6 21x y d. 6 32x y


4 and passing through 0, 2 .

a. 4 8x y b. 4 8x y c. 4 8x y d. 4 8 1x y

8. Find the slope of the line passing through 3, 5 and 4, 5 .

a. 0 b. 2 c. 3 d. undefined 9. Find the equation of the line passing through 3, 5 and 4, 5 .

a. 5y b. 5x c. 5 7x y d. 3x


a. 3 7 39x y b. 3 7 45x y c. 7 3 13x y d. 7 3 3x y


T-61


11. Graph: 2 5x y− >

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

12. Graph: 2 6x y

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

13. Is the following a function? 1,6 , 2,8 , 3,6

a. Yes b. No


T-62


14. Does the following graph represent a function?

y

x

5−5

−5

5

a. Yes b. No 15. Graph: 22 3y x

a. y

x

5−5

−5

5

b. y

x

5−5

−5

5

c. y

x

5−5

−5

5

d. y

x

5−5

−5

5

16. Find 2f for 23 2f x x x

a. 32 b. 16 c. 8 d. 4

17. Find 4g for 2

2

xg x

x

a. 4 b. 3 c. 1 d. undefined


T-63


Date:

Solve by the graphing method.

1. 2 85

x yx y

+ =+ =

1. ____________________________

2. 2 6 63 9 18

x yx y

+ =+ =

2. ____________________________

Solve by the substitution method.

3. 2 63

x yx y

+ =− = −

3. ____________________________

4. 32 10

y xx y

=+ =

4. ____________________________

Solve by the addition method.

5. 2 02

x yx y

+ =+ =

5. ____________________________

6. 2 42 2x yx y− =

+ = − 6. ____________________________

7. 1

6 3 21

2 6 6

x y

x y

+ =

− = −

7. ____________________________

Solve by any method.

8. 3 6 154 8 20

x yx y

− =− =

8. ____________________________

9. 2 3 06 3 4

x yx y

− =+ =

9. ____________________________

10. 0.25 1.250.5 0.5 0.625

x yx y+ =

+ = 10. ____________________________

11. Anne bought 5 tapes and 5 CD’s at a used music store and spent 11. ____________________________ $40. At the same price, Frank bought 6 tapes and 1 CD and spent $23. How much did each tape cost? How much did each CD cost?


T-64


Date:


1. 42 6

x yx y

+ =+ =

a. (2, 2) b. (4, 0) c. Inconsistent d. Dependent

2. 2 6 83 9 12

x yx y

− =− =

a. (1, –1) b. (4, 0) c. Inconsistent d. Dependent


3. 3 63 2

x yx y

− =+ =


4. 3 56 2 10

y xx y

= +− =

a. (1, 8) b. (2, –1) c. Inconsistent d. Dependent


5. 72 2

x yx y

− =+ =


6. 16 3

2

4 3 3

x y

x y

+ =

− =

a. (8, –1) b. (0, 3) c. (6, 0) d. (4, 1)

7. 0.1 0.1 0.40.2 0.2 0.8

x yx y

+ =− = −

a. (2, 2) b. (1, 3) c. (0, 4) d. Dependent


8. 3 56 2 10

x yx y

+ =+ =


9. 3 4 44 0

x yx y

+ =− =

a. (0, 1) b. 1

1,4

c. Inconsistent d. Dependent


T-65


10. 3 4 6

2 5 8x yx y

+ =− =

a. 1

0,12

b. 30 12

,23 23


11. Anne bought 3 tapes and 6 CD’s at a used music store and spent $42. At the same price, Frank bought 5 tapes and 1 CD and spent $25. How much did each tape cost? How much did each CD cost?

a. $5 for tapes, $6 for CD’s b. $3 for tapes, $4 for CD’s c. $2 for tapes, $4 for CD’s d. $4 for tapes, $5 for CD’s


T-66


Date:


1. 32 4

x yx y

+ =+ =

1. ____________________________


2. 3 17

x yx y

+ = −− = −

2. ____________________________


3. 2 3 125 4 16

x yx y

− = −+ =

3. ____________________________


4. 2 3 12 10

x yx y

+ =− + =

4. ____________________________

5. 23 0

x yx y

+ =− =

5. ____________________________

6. 2 3 66 9 10

x yx y

+ =+ =

6. ____________________________

7. 3

4 8 41

2 3 3

x y

x y

+ = −

− = −

7. ____________________________

8. 3 2 142 2

x yx y

− = −− + =

8. ____________________________

9. 0.1 0.1 0.60.6 0.2 0.2

x yx y

+ =− =

9. ____________________________

10. 2 2003 4 200

x yx y

− = −− =

10. ____________________________

11. 2 24 2 6

x yx y

− =− =

11. ____________________________


T-67


12. ( ) ( )

( ) ( )2 4 7 2 3

2 3 25x y x y

x y x y+ = + + −

+ = − + 12. ____________________________

13. One number is 3 less than twice a second number. The sum of the 13. ____________________________ two numbers is 12. Find the two numbers.

14. A rectangle has a perimeter of 24. The length is twice the width. 14. ____________________________ Find the length and the width.


T-68


Date:


1. 42 6 12

x yx y

+ =+ =

1. ____________________________


2. 92 3 7

y xx y

= ++ =

2. ____________________________


3. 2 3 175 4 38

x yx y

+ =− = −

3. ____________________________


4. 3 72 4 14

x yx y

+ =− = −

4. ____________________________

5. 4 2 102 5

x yy x

− == +

5. ____________________________

6. 2 3 24 9

x yx y

− =− = −

6. ____________________________

7. 2 23 2 0

x yx y

+ = −+ =

7. ____________________________

8. 3 3 42 6 0

x yx y

+ =− =

8. ____________________________

9. 2 2 63 5 21x yx y

+ =+ =

9. ____________________________

10. 2 8 73 12 10

x yx y

+ =+ =

10. ____________________________

11. 0.02 0.03 280.03 0.04 39

x yx y

+ =+ =

11. ____________________________


T-69


12. 3

3 6 27

4 3 6

x y

x y

+ =

− = −

12. ____________________________

13. The sum of two numbers is 12. One number is twice the other. 13. ____________________________ Find the two numbers.

14. A rectangle has a perimeter of 34. The length is 3 less than 4 times 14. ____________________________ the width. Find the length and the width.


T-70


Date:


1. 2 44 6

x yx y

+ =+ =

1. ____________________________


2. 2 53 5 11x yx y

+ =+ =

2. ____________________________


3. 2 44 3 2

x yx y

− =− =

3. ____________________________


4. 2 3 133 4 23

x yx y

− =+ = −

4. ____________________________

5. 3 04 2 4

x yx y

− =+ = −

5. ____________________________

6. 4 12 243 9 18x yx y+ =+ =

6. ____________________________

7. 2 23 3 9x yx y

+ = −+ =

7. ____________________________

8. 4 3 48 6 0

x yx y

+ =− =

8. ____________________________

9. 1

9 8 319

2 6 6

x y

x y

− =

+ =

9. ____________________________

10. 0.01 0.01 30.03 0.01 19

x yx y

− =− =

10. ____________________________

11. ( )( )

3 5 34 5

x yx y y

− =− =

11. ____________________________


T-71


12. 3 6

6 2 12y x

x y= +

− = 12. ____________________________

13. The sum of two numbers is 20. The second is 4 less than twice the 13. ____________________________ first. Find the two numbers.

14. 20,000 tickets were sold to a concert. Tickets to the floor cost $30 14. ____________________________ and the other tickets cost $25. If both ticket sales totaled $525,000, find how many of each ticket were sold.


T-72


Date:


1. 3 2 22 4 18

x yx y

+ =− = −

1. ____________________________


2. 23 8

y xx y

= +− =

2. ____________________________


3. 2 134 5 9

x yx y

+ = −− =

3. ____________________________


4. 2 3 244 2 0

x yx y

+ =− =

4. ____________________________

5. 2 3 25 2 5

x yx y

+ = −− = −

5. ____________________________

6. 2 64 24

x yx y

− =+ =

6. ____________________________

7. 4 56 0

x yx y

+ =− =

7. ____________________________

8. 2 2 103 3 15x yx y

+ =+ =

8. ____________________________

9. 2 73 2 1

x yx y

+ =+ =

9. ____________________________

10. 2

35 5

1

4 6 6

x y

x y

+ =

− = −

10. ____________________________

11. 3 104 4 8

x yx y

− =− =

11. ____________________________


T-73


12. 2 1

5 2 1x y

x y+ =

+ = 12. ____________________________

13. ( ) ( )( )

2 3 2 4 23 3 3

x yx y x

− = − ++ = +

13. ____________________________

14. The sum of two numbers is 7. Three times the first number plus 14. ____________________________ twice the second number is 16. Find the two numbers.

15. $10,000 was invested in two accounts. One paid 12% interest and 15. ____________________________ the other paid 5% interest. If the total interest was $920, find out how much was invested in each account.


T-74


Date:


1. 2 82 0

x yx y

+ =− =



2. 2 22 5

x yx y

+ = −+ =

a. (–1, 0) b. (3, 1) c. (–3, 4) d. (3, 1)


3. 23 2 6

x yx y

+ =− =



4. 2 82 14

x yx y

− =+ =

a. (6, 4) b. (2, –4) c. (0, 7) d. (8, 3)

5. 3 512 4 15

x yx y

+ =+ =


6. 2 2 63 3 9x yx y

− =− =

a. (2, –1) b. (0, –3) c. Inconsistent d. Dependent

7. 11

3 6 61

4 2 2

x y

x y

+ =

− = −


8. 2 3 104 20

x yx y

+ =+ =

a. (–4, 6) b. (4, 4) c. Inconsistent d. Dependent

9. 3 56 2 10

y xx y

= −− =



T-75


10. 2

6 9 33 1

5 10 2

x y

x y

+ = −

− =

a. (6, 9) b. (–2, –3) c. Inconsistent d. Dependent

11. 3 5 43 4

5 5

x yx

y

− =

= −

a. 4

0,5

b. (3, 4) c. Inconsistent d. Dependent

12. ( )( ) ( )

2 33 7 1 3

x y yx y y

+ = ++ = + +


13. Two times one number plus a second number is 5. Three times the first number minus twice the second is –5. Find the two numbers.

a. (3, 4) b. (0, 5) c. 5 25

,7 7

d. (4, –2)

14. 18,000 tickets were sold for a basketball game. Tickets cost $5 for students and $12 for others. If a total of $174,000 was collected, how many of each ticket were sold?

a. 9000 student, 9000 other b. 6000 student, 12,000 other c. 12,000 student, 6000 other d. 0 student, 18,000 other

15. Two machines produce washers. The first machine can produce twice as many in one hour as the second. If the first machine runs 2 hours and the second machine runs 3 hours, 560 washers are produced. How many washers does each machine make in an hour?

a. first: 200, second: 100 b. first: 320, second: 160 c. first: 160, second: 80 d. first: 100, second: 50


T-76


Date:


1. 2 82 10

x yx y

+ =+ =

a. (1, 6) b. (2, 4) c. (3, 2) d. (0, 8)


2. 3 12 1

y xx y

= −− = −



3. 2 42 4 6

x yx y

− =− =



4. 2 123 2

x yx y

− =+ =

a. (10, –1) b. (0, –6) c. 1

1,3

d. (8, –2)

5. 2 4 23 2 2

x yx y

+ =+ =

a. 1 1

,2 4

b. 1

0,2


6. 2 4 53 6 6

x yx y

− =− =

a. 1

, 12

− b. (0, –1) c. Inconsistent d. Dependent

7. 1

4 4 22

3 3 3

x y

x y

− =

− =


8. 2 64 2

x yx y

+ =− =

a. 14 2

,3 3

b. (2, 2) c. 1

0,2

− d. (–6, –2)


T-77


9. 3 2

2 16y x

x y= −

− = −

a. (–4, 6) b. (0, 8) c. (4, 10) d. (6, 16)

10. 0.25 0.5 20.6 0.25 2.9

x yx y

+ =+ =

a. (0, 4) b. (6, 1) c. (4, 2) d. (0, 6)

11. ( ) ( )( )

3 4 2 82

x x yx y x

− = + −− − =

a. (0, 6) b. (–2, –3) c. Inconsistent d. Dependent

12. 2 23 2 4

x yx y

+ =− = −

a. (1, 0) b. (–2, 4) c. (3, 6) d. (0, 2)

13. How much 60% solution should be mixed with a 40% solution to make 10 gallons of a 50% solution? a. 4 gal of 60%, 6 gal of 40% b. 5 gal of 60%, 5 gal of 40%

c. 2 gal of 60%, 8 gal of 40% d. 6 gal of 60%, 4 gal of 40%

14. 10,000 tickets were sold for a football game. Tickets cost $6 for students and $12 for others. If a total of $96,000 was collected, how many of each ticket were sold?

a. 4000 student, 6000 other b. 5000 student, 5000 other c. 6000 student, 4000 other d. 8000 student, 2000 other

15. A boat went 20 miles upstream in 2 hours, and came back the same distance in 1 hour. How fast is the boat traveling and how fast is the stream flowing?

a. boat: 30 mph, river: 15 mph b. boat: 15 mph, river: 5 mph c. boat: 40 mph, river: 10 mph d. boat: 20 mph, river: 10 mph


T-78


Name:

Date:

Simplify.

1. 1 3

2 15 4

1. __________________________

2. 5 3 2. __________________________

3. 2 1

3 13 6

3. __________________________

4. 22 3 4 2 5 3x x x x 4. __________________________

5. Evaluate. 2 32 2x y xy for 3x and 4y 5. __________________________

Solve.

6. 4 3 3 4 1x x 6. __________________________

7. 3 1

25 3

xx 7. __________________________

8. 5 3 13x 8. __________________________

9. 2 32 3 8x y

x y 9. __________________________

10. 1 3

88 82 1

13 6

x y

x y

10. __________________________

11. 2 6 93 9 10

x yx y

11. __________________________

12. 6 13 22

x yx y

+ = −− =

12. __________________________

13. Find the slope of the line passing through ( 2, 1)− − and (4,6) . 13. __________________________

14. Find the slope and the y-intercept. 2 3 6x y+ = 14. __________________________


T-79

Chapters 0–4 Cumulative Test Form A (cont.)

Name:

15. For 2( ) 2 3 6f x x x= − + , find (3)f . 15. __________________________

16. Graph. 2 4x y− ≤ 16.

17. The perimeter of a rectangle is 32. The length is 4 more than 17. __________________________ the width. Find the length and the width.

x

y


T-80


Name:

Date:

Simplify.

1. 3 4

18 7

a. 1

18

b. 45

56 c.

111

56 d.

1

56

2. 6 3

a. 18 b. 18 c. 9 d. 2

3. 1 1

2 43 5

a. 5

9 b.

52

3 c.

9

5 d.

32

5

4. 23 2 5 2 7 5x x x x

a. 24x x b. 4 216 29x x c. 216 29x x d. 4 24x x

Solve. 5. 3 2 5 1x x

a. 8

3 b. 4 c. 14 d.

4

3

6. 2 1

13 4

xx

a. 10

7 b. 7 c.

1

2 d.

4

7

7. 3 5 18x

a. 3x b. 3x c. 3x d. 3x

8. 2 3 4

3 5x y

x y

a. (1, 2) b. ( 5,2) c. ( 9, 4) d. No solution

9. 1

231 1

12 2

x y

x y

− =

+ =

a. (1, 2)− b. (3, 1)− c. (4,1) d. No solution

10. 2 4 5

3 6 8x yx y

a. 1

,12

b. (2, 1) c. (0,4) d. No solution


T-81


Name:

11. 2 3

2 4x y

x y+ = −

− =

a. (1, 2)− b. (1,2) c. (2,1) d. (1, 3)−

12. Graph the line. 2 3 6x y− =

a. b.

c. d. 13. Find the slope of the line passing through (2,5) and ( 3,1)− .

a. 4

5− b.

4

5 c. 6− d. 6

14. Find the slope and the y-intercept of the line 2 4x y+ = .

a. 1, 4m b= = b. 1

, 42

m b= = c. 1

, 22

m b= − = d. 1

, 22

m b= =

15. For 2( ) 2 5 2f x x x= − + , find ( 2)f − .

a. 20 b. 28 c. 0 d. 8


T-82


Name:

16. Graph the solution set. 4x y+ ≥

a. b.

c. d. 17. The perimeter of a rectangle is 72. The length is twice the width. Find the length. a. 36 b. 48 c. 12 d. 24


T-83


Date:

Simplify.

1. 5 117 7 1. __________________________

2. 3 44 4x x 2. __________________________

3. 4 22 3 3ab ab ab 3. __________________________

4. 17

11

q

q 4. __________________________

5. 3 5

5 2

18

6

x y

x y 5. __________________________

6. 0 3 5

4

81

9

a b c

ab c 6. __________________________

7. 123x 7. __________________________

8. 424x y 8. __________________________

9. 443a b

c 9. __________________________

10. 23x 10. __________________________

11. 5

2 3

3a

b c 11. __________________________

12. 3

2 12. __________________________

13. Write in scientific notation: 0.000726 13. __________________________

14. Write in decimal notation: 31.94 10 14. __________________________


T-84


Perform the indicated operation and simplify.

15. 2 23 4 4 2 5x x x x 15. __________________________

16. 2 23 4 5 2 3 5x x x x 16. __________________________

17. 5 4 3a a b 17. __________________________

18. 2 23 2 4 1x x x 18. __________________________

19. 4 3 2 3 43 2 2x x y x y 19. __________________________

20. 2 23 2 3 4x x xy y 20. __________________________

21. 4 4x x 21. __________________________

22. 2 3 3 4x y x y 22. __________________________

23. 2 23 2 4 2x y x y 23. __________________________

24. 2

3 10m n 24. __________________________

25. 2

3 5ab 25. __________________________

26. 22 1 3 2 5x x x 26. __________________________

27. 2 3 3 4 2x x x 27. __________________________

28. 5 4 2 218 54 9 9x x x x 28. __________________________

29. 3 24 7 6 2x x x x 29. __________________________


T-85


Date:

Multiply. Leave answers in exponent form.

1. 2 145 5

a. 285 b. 165 c. 1625 d. 2825

2. 3 54 3x x

a. 8x b. 812x c. 1512x d. 15x

3. 2 2 43 6 4a b a b a

a. 5 57a b b. 4 472a b c. 4 472a b d. 5 572a b

Simplify. Use positive exponents.

4. 15

3

x

x

a. 5x b. 12x c. 0 d. 121

5. 4 2

5

42

14

x y

xy

a. 3 328x y b. 3 33x y c. 3

3

3x

y d.

3

3

28y

x

6. 6 4 3

4 0 2

36

6

a b c

a b c

a. 26a c b. 2 4

6

a b c c. 2 46a b c d.

2

6

a c

7. 53x

a. 15x b. x c. 8x d. 10x

8. 43 24x y

a. 12 8256x y b. 7 8256x y c. 7 616x y d. 12 8256x y

9. 33 32x y

z

a. 9 9

3

8x y

z b.

9 96x y

z c.

6 6

3

6x y

z d.

6 6

3

8x y

z

10. 22x

a. 4x b. 2

1

2x c.

2

2

x d.

2

4

x


T-86


11. 2

3 4

5a

b c

a. 3

2 45

b

a c b.

3 4

25

b c

a c.

2 3 4

5

a b c d.

3

2 4

5b

a c

12. 23

a. 6 b. 1

9 c.

1

9 d.

1

6

13. Write in scientific notation: 2,378,000,000

a. 92.378 10 b. 102.378 10 c. 62.378 10 d. 62.378 10

14. Write in decimal notation: 32.14 10 a. 0.000214 b. 0.00214 c. 2140 d. 214,000


15. 2 24 2 6 3 6 5x x x x

a. 4 27 2 1x x b. 27 4 1x x c. 4 27 8 1x x d. 27 8 1x x

16. 3 2 3 23 4 7 3 4 2x x x x x

a. 2 7x b. 3 26 8 5x x x c. 28 2 7x x d. 6 46 8 5x x x

17. 3 2 4x x

a. 6 12x b. 26 12x x c. 26 12x x d. 26 12x x

18. 2 23 2 4 2x x x

a. 4 3 26 12 6x x x b. 4 26 12 6x x x c. 4 3 26 12 6x x x d. 26 12 6x x

19. 2 2 23 4 2 3xy x xy y

a. 3 2 2 3 412 6 9x y x y xy b. 2 2 2 312 6 9x y xy xy

c. 3 2 212 6 9x y xy xy d. 3 2 2 312 6 9x y x y xy

20. 3 6 2 5x x

a. 26 27 30x x b. 26 27 30x x c. 26 3 30x x d. 25 3 11x x

21. 12 12x x

a. 2 144x b. 2 144x c. 2 24 144x x d. 2 24 144x x

22. 2 23 4 2x y x y

a. 4 2 212 2 2x x y y b. 2 2 26 10 2x x y y c. 4 2 212 10 2x x y y d. 2 26 10 2x xy y

23. 3 2 6 2x y x y

a. 29 18 4x xy y b. 2 218 6 4x xy y c. 2 218 6 4x xy y d. 2 212 4x y


T-87


24. 2

2 7x

a. 24 49x b. 24 49x c. 22 14 49x x d. 24 28 49x x

25. 2

3 2xy

a. 2 29 12 4x y xy b. 2 26 4x y c. 2 23 4x y d. 2 26 12 4x y xy

26. 22 1 3 4 5x x x

a. 3 26 11 6 5x x x b. 3 26 11 6 5x x x

c. 3 26 5 14 5x x x d. 3 26 11 14 5x x x

27. 3

2 3x

a. 3 28 36 24 27x x x b. 3 28 36 54 27x x x

c. 36 9x d. 38 27x

28. 4 316 4 8 4x x x x

a. 3 24 2x x b. 34 2 1x x c. 4 34 4 2x x x d. 34 4 2x x

29. 23 2 5 5x x x

a. 60

3 135

xx

b. 90

3 175

xx

c. 70

3 135

xx

d. 65

3 175

xx


T-88


Date:

Multiply. Leave the answers in exponent form.

1. 6 711 11 1. __________________________

2. 10

8

8

8 2. __________________________

3. 432 3. __________________________


4. 4 2 63 5x y x y 4. __________________________

5. 5 8

5 4

35

7

x y

x y 5. __________________________

6. 34 7 23x y z 6. __________________________

7. 55 3

9 6

a b

c d 7. __________________________

8. 4 12

2 4

45

9

x y

x y 8. __________________________

9. 33 9. __________________________

10. 1 4 2 52 x y z 10. __________________________

11. 7 4

3

6

12

x y

z 11. __________________________

12. Write in scientific notation: 126,000,000,000 12. __________________________


14. Multiply. Leave answer in scientific notation. 14. __________________________ 3 83.9 10 4.35 10


T-89



15. 5 4 3 1x x 15. __________________________

16. 2 25 4 6 8 3 5x x x x 16. __________________________

17. 4 2 4 4 3 6 52 2 4 3x y x y x y y 17. __________________________

18. 23 3 6x x 18. __________________________

19. 4 7 3 8x x 19. __________________________

20. 2 3 5 6x x 20. __________________________

21. 2

13 5x 21. __________________________

22. 2 2 32 3 5 3x y x y 22. __________________________

23. 23 5 7 3 5x x x 23. __________________________

24. 6 4 2 249 14 7 7x x x x 24. __________________________

25. 3 24 6 4 2x x x x 25. __________________________


T-90


Date:


1. 3 97 7 1. __________________________

2. 14

8

9

9 2. __________________________

3. 324 3. __________________________


4. 2 7 3 85 8x y x y 4. __________________________

5. 9 8

4

56

8

x y

x y 5. __________________________

6. 35 3 85x y z 6. __________________________

7. 46 8

2

a b

c d 7. __________________________

8. 9 2

3 4

32

8

x y

x y 8. __________________________

9. 25 9. __________________________

10. 2 3 44x y z 10. __________________________

11. 2 4

6

3x y

z 11. __________________________





T-91



15. 23 5 4 5x x x 15. __________________________

16. 2 22 3 5 2 4 9x x x x 16. __________________________

17. 5 3 4 2 3 33 5 3 2x y x y x y y 17. __________________________

18. 24 2 5 4x x 18. __________________________

19. 3 7 4 3x x 19. __________________________

20. 6 5 3 8x x 20. __________________________

21. 2

3 1x 21. __________________________

22. 5 2 33 2 5 3x y x y 22. __________________________

23. 24 5 2 4 3x x x 23. __________________________

24. 8 4 2 254 9 18 9x x x x 24. __________________________

25. 3 22 15 3 29 7x x x x 25. __________________________


T-92


Date:


1. 2 46 6 1. __________________________

2. 12

3

9

9 2. __________________________

3. 432 3. __________________________


4. 3 5 5 92 6x y x y 4. __________________________

5. 3 6

2 5

14

2

x y

x y 5. __________________________

6. 43 43x y z 6. __________________________

7. 36 4

5 3

a b

c d 7. __________________________

8. 5 4

3 4

30

6

x y

x y 8. __________________________

9. 47 9. __________________________

10. 4 6 39x y z 10. __________________________

11. 5 6

2

9x y

z 11. __________________________

12. Write in scientific notation: 12,350,000 12. __________________________




T-93



15. 27 8 3 5 6x x x 15. __________________________

16. 2 23 4 6 3 6 8x x x x 16. __________________________

17. 3 2 2 5 4 52 4 3 4x y x y xy y 17. __________________________

18. 28 5 6x x 18. __________________________

19. 3 8 5 1x x 19. __________________________

20. 5 2 3x x 20. __________________________

21. 2

3 8x 21. __________________________

22. 23 2 4 3x y x y 22. __________________________

23. 23 7 2 3 5x x x 23. __________________________

24. 3 215 45 5 5x x x x 24. __________________________

25. 3 22 4 4 1x x x x 25. __________________________


T-94


Date:


1. 84 4 1. __________________________

2. 9

3

7

7 2. __________________________

3. 632 3. __________________________


4. 7 9 2 44 7x y x y 4. __________________________

5. 8 9

4 6

15

5

x y

x y 5. __________________________

6. 32 3 52x y z 6. __________________________

7. 53 5

2

a b

c d 7. __________________________

8. 3

3 4

15

6

x y

x y 8. __________________________

9. 44 9. __________________________

10. 2 76x yz 10. __________________________

11. 3 2

3

7x y

z 11. __________________________





T-95



15. 2 23 5 3 5 6 5x x x x 15. __________________________

16. 2 25 2 5 3 5 5x x x x 16. __________________________

17. 2 3 3 3 2 4 57 2 2 5x y x y x y y 17. __________________________

18. 21 3 6 6x x 18. __________________________

19. 7 5 3 2x x 19. __________________________

20. 2 9 7 6x x 20. __________________________

21. 2

2 7x 21. __________________________

22. 3 2 3 2x y x y 22. __________________________

23. 26 4 3 5x x x 23. __________________________

24. 4 3 2 235 14 42 7x x x x 24. __________________________

25. 3 212 26 31 35 3 5x x x x 25. __________________________


T-96


Date:


1. 5 32 2

a. 152 b. 154 c. 84 d. 82

2. 27

9

3

3

a. 33 b. 31 c. 183 d. 181

3. 735

a. 105 b. 215 c. 45 d. 78


4. 4 3 53 2xy x y

a. 3 206x y b. 3 96x y c. 3 96x y d. 4 96x y

5. 3 5

12 3

18

12

x y

x y

a. 2

9

3

2

y

x b.

9 23

2

x y c.

2

4

3

2

y

x d. 9 26x y

6. 23 42x y

a. 5 64x y b. 6 84x y c. 5 64x y d. 6 84x y

7. 43 5

3

3

2

x y

z

a. 12 20

12

12

8

x y

z b.

12 20

12

81

16

x y

z c.

7 9

12

3

2

x y

z d.

7 9

12

81

16

x y

z

8. 5 10

17 10

25

10

x y

x y

a. 12

5

2

y

x b.

12

5

2x c. 1215x y d.

125

2

x

9. 23

a. 1

9 b. 9 c.

1

6 d. 6

10. 3 5 24x y z

a. 5

3 2

4y

x z b.

3

5 24

x

y z c.

3 5 2

1

4x y z d.

3 2

5

4x z

y


T-97


11. 2 3

5

5x y

z

a. 5

2 3

5z

x y b.

5

2 35

z

x y c.

5

2 325

z

x y d.

5 3

25

z y

x

12. Write in scientific notation: 125,000

a. 31.25 10 b. 51.25 10 c. 3125 10 d. 6125 10 13. Write in decimal notation: 65.2 10 a. 0.00000052 b. 0.000052 c. 0.0000052 d. 5,200,000

14. Multiply. Leave your answer in scientific notation: 3 67.4 10 2.8 10

a. 920.72 10 b. 102.072 10 c. 92.072 10 d. 182.027 10


15. 2 23 2 5 6 7 5x x x x

a. 4 29 9x x b. 29 9 3x x c. 29 9x x d. 29 5x x

16. 2 23 2 5 4 5 5x x x x

a. 2 7 10x x b. 2 3x x c. 2 3x x d. 2 3 10x x

17. 2 3 23 3 2 5x x x

a. 5 4 26 6 15x x x b. 5 4 29 6 15x x x c. 6 4 29 6 15x x x d. 2 4 26 6 15x x x

18. 2 3 4 2 43 5 6 5x y x y x y

a. 6 4 4 415 18 15x y x y b. 5 4 4 5 215 18 15x y x y x y

c. 5 5 4 5 215 18 15x y x y x y d. 5 5 4 515 18 15x y x y

19. 3 2 6 5x y x y

a. 18 3 10x xy y b. 218 3 10x xy y c. 2 218 3 10x xy y d. 2 218 3 10x xy y

20. 2 7 2 7x x

a. 22 14x b. 24 14 49x x c. 24 14 49x xy d. 24 49x

21. 2

3 2x y

a. 2 29 12 4x xy y b. 2 29 4x y c. 2 23 2x y d. 2 29 6 4x xy y

22. 2 4 4 37 3 2 4x y x y

a. 6 2 3 4 4 714 28 6 12x x y x y y b. 8 2 3 4 4 1214 28 6 12x x y x y y

c. 4 2 4 714 22 12x x y y d. 6 2 4 1214 22 12x x y y


T-98


23. 23 5 2 3 4x x x

a. 3 26 19 3 20x x x b. 3 26 19 27 20x x x

c. 3 4 26 19 3 20x x x d. 3 26 19 27 20x x x

24. 4 3 2 216 12 4 4x x x x

a. 24 3 1x x b. 2 24 3x x c. 24 3x x d. 24 3 1x x 25. 3 26 26 34 30 2 6x x x x

a. 2 4923 20 77

2 6x x

x b. 23 4 5x x

c. 23 13 17 5x x x d. 2 1923 4 27

2 6x x

x


T-99


Date:


1. 8 124 4

a. 204 b. 208 c. 964 d. 48

2. 15

5

3

3

a. 33 b. 103 c. 101 d. 1

3. 253

a. 106 b. 103 c. 76 d. 103


4. 3 5 4 74 2x y x y

a. 7 128x y b. 12 358x y c. 7 128x y d. 12 358x y

5. 3 5

5 3

27

6

x y

x y

a. 2 2

9

2x y b.

2 29

2

x y c.

2

2

9

2

y

x d. 2 221x y

6. 35 4 33x y z

a. 15 12 99x y z b. 15 12 927x y z c. 8 7 627x y z d. 8 7 69x y z

7. 83 2

3 4

a b

c d

a. 11 10

11 12

a b

c d b.

24 16

24 32

a b

c d c.

24 16

11 12

a b

c d d. 11 10 11 12a b c d

8. 3 15

14

36

9

x y

xy

a. 24x y b. 24x

y c.

2

4

x y d.

2

4y

x

9. 48

a. 1

2 b.

1

12 c.

1

4096 d. 32

10. 1 3 2 43 x y z

a. 3

2 4

3x

y z b.

3 4

23

x z

y c.

3 4

2

3x z

y d.

3 2 4

1

3x y z


T-100


11. 2 3

5

6x y

z

a. 5

2 3

6z

x y b.

5

2 36

z

x y c.

5 2

3

6z x

y d.

2 3

5

6x y

z

12. Write in scientific notation: 0.000203

a. 62.03 10 b. 42.03 10 c. 42.03 10 d. 62.03 10

13. Write in decimal notation: 51.37 10

a. 13,700,000 b. 13,700 c. 137,000 d. 1.37000

14. Multiply. Leave your answer in scientific notation: 5 32.6 10 9.5 10

a. 152.47 10 b. 1524.7 10 c. 824.7 10 d. 92.47 10

Perform the indicated operation, and simplify your answer.

15. 3 7 6 7x x

a. 9 14x b. 218x c. 9x d. 9 14x

16. 2 23 2 8 8 6 8x x x x

a. 25 8x x b. 25 4x x c. 4 25 8 10x x d. 25 4 16x x

17. 2 3 2 4 6 33 7 2 5x y x y xy y

a. 4 7 3 9 2 621 6 15x y x y x y b. 2 7 2 9 621 6 15x y x y xy

c. 4 7 2 9 2 921 6 15x y x y x y d. 4 7 2 9 621 6 15x y x y y

18. 23 7 5x x

a. 23 7 5x x b. 23 7 5x x c. 23 7 5x x d. 23 7 5x x

19. 3 2 4 5x x

a. 212 7 10x x b. 12 23 10x x c. 212 23 10x x d. 212 7 10x x

20. 3 5 4 5x x

a. 212 5 25x x b. 212 40 25x x c. 212 5 25x x d. 212 25x

21.

29 2x

a. 281 36 4x x b. 218 4x c. 281 4x d. 281 36 4x x


T-101


22. 2 2 2 23 4 6x y x y

a. 4 2 2 418 21 4x x y y b. 2 2 2 218 21 4x x y y c. 2 418 4x y d. 4 418 4x y

23. 22 3 3 4 7x x x

a. 3 26 26 21x x x b. 3 26 17 2 21x x x

c. 3 2 26 2 21x x x d. 3 26 17 2 21x x x

24. 5 4 3 318 9 6 3x x x x

a. 26 3 2x x b. 29 3 2x x c. 26 3 2x x d. 29 3 2x x x

25. 3 22 6 5 3x x x x

a. 2 225 9

3x x

x b. 2 32

93

x xx

c. 2 43

3x x

x d. 2 5x x


T-102


Date:

Factor completely. If not possible, state prime.

1. 16x3y4 + 8x2y3 1. ____________________________

2. 3x(2x – 5) – (2x – 5) 2. ____________________________

3. 125x5y3 – 25x4y4 + 5x3y5 3. ____________________________

4. 2xa + 8x – 5a – 20 4. ____________________________

5. xa + 2a – 4x – 8 5. ____________________________

6. 12x4 + 15x2 – 16x2 – 20 6. ____________________________

7. x2 + 11x + 30 7. ____________________________

8. x2 – 12x + 35 8. ____________________________

9. x2 – 2xy – 15y2 9. ____________________________

10. 2x2 + 6x – 80 10. ____________________________

11. 3x2 + 45x + 162 11. ____________________________

12. 12x2 + 7x – 45 12. ____________________________

13. 6x2 – 19x – 20 13. ____________________________

14. 8x2 – 4x – 12 14. ____________________________

15. 25x2 – 64 15. ____________________________


T-103


16. 9x2 – 42x + 49 16. ____________________________

17. 25x2 + 30x + 9 17. ____________________________

18. x4 + 7x3 + 12x2 18. ____________________________

19. 12x4y2 + 16x3y2 – 3x2y2 19. ____________________________

20. x2 + 36 20. ____________________________

Solve.

21. (x + 5)(x – 7) = 0 21. ____________________________

22. 2x2 + 13x + 20 = 0 22. ____________________________

23. x2 = 64 23. ____________________________

24. x2 – x = 20 24. ____________________________

25. A triangle has a base that is 5 more than the altitude. If the area 25. ____________________________ is 25, find the base and the altitude.


T-104


Date:


1. 3x2y3 – 6xy2 + 6xy a. 3xy(xy2 – 2xy + 2) b. 3x(xy3 – 2y3 + 2y) c. 3xy(xy2 – 2y + 2) d. 3y(3x2y2 – 2xy + 6x)

2. 4x(a – 3) – 5(a – 3) a. (a – 3)(4x – 5) b. (4x – 5)(a – 3)(a – 3) c. (a – 3) + (4x – 5) d. (a – 3)(4x – 5)(a – 3)

3. 72a3b3 + 12ab2 a. 12ab2(6a2b + 1) b. 12ab2(6a2b) c. 6ab(12a2b2 + 2b) d. 6a2b2(2ab + 1)

4. 3xa – 4a + 6xb – 8b a. (3x + 4)(a – 2b) b. (3x – 8)(a + 1) c. (3x + 4)(a + 2b) d. (3x – 4)(a + 2b)

5. 9x2 + 10y – 15x – 6xy a. (3x + 2y)(3x + 5) b. (3x – 2y)(3x – 5) c. (3x + 2y)(3x – 5) d. (3x – 2y)(3x + 5)

6. 18x2 + 15x – 30x – 25 a. (3x + 5)(6x + 5) b. (3x – 5)(6x – 5) c. (3x – 5)(6x + 5) d. (3x + 5)(6x – 5)

7. x2 + 2x – 15 a. (x + 3)(x – 5) b. (x + 3)(x + 5) c. (x – 3)(x + 5) d. (x – 3)(x – 5)

8. x2 – 11x + 24 a. (x + 3)(x + 8) b. (x – 3)(x – 8) c. (x – 3)(x + 8) d. (x + 3)(x – 8)

9. x2 + 7x + 6 a. (x + 6)(x – 1) b. (x – 6)(x – 1) c. (x – 6)(x + 1) d. (x + 6)(x + 1)

10. 2x2 + 2x – 60 a. (2x – 10)(x + 6) b. (x – 5)(2x + 12) c. 2(x – 5)(x + 6) d. 2(x + 5)(x – 6)

11. 3x2 – 12x – 15 a. 3(x – 5)(x – 1) b. 3(x – 5)(x + 1) c. 3(x + 5)(x + 1) d. 3(x + 5)(x – 1)

12. 6x2 + 7x – 20 a. (3x + 5)(2x – 4) b. (3x – 4)(2x – 5) c. (3x – 5)(2x + 4) d. (3x – 4)(2x + 5)

13. 6x2 + 19xy + 15y2 a. (3x + 5y)(2x + 3y) b. (3x + 3y)(2x + 5y) c. (3x – 5y)(2x – 5y) d. (3x – 3y)(2x + 5y)

14. 16x2 – 4x – 30 a. 2(2x – 5)(4x + 3) b. 2(2x + 3)(4x – 5) c. (4x – 6)(4x + 5) d. 2(2x – 3)(4x + 5)


T-105


15. 49x2 – 36 a. (7x – 6)(7x + 6) b. (7x + 6)(7x + 6) c. (7x – 6)(7x – 6) d. (4x – 3)(x + 3)

16. 4x2 – 12x + 0

a. ( )22 3x + b. ( )( )2 3 2 3x x+ − c. ( )2

2 3x − d. ( )27 6x −

17. 25x2 – 70x + 49

a. ( )25 7x − b. ( )2

5 7x + c. ( )( )5 7 5 7x x+ − d. ( )( )5 7 5 10x x− +

18. x3 – 13x2 + 40x

a. ( )( )2 5 8x x− − b. ( )( )5 8x x x− − c. ( )( )2 25 8x x+ + d. prime

19. 20x4y2 – 13x3y3 – 21x2y4

a. ( ) ( )4 3 5 7xy x y x y− + b. ( )( )2 24 3 5 7xy x y x y+ +

c. ( ) ( )2 2 4 3 5 7x y x y x y+ − d. ( )( )2 2 4 3 5 7x y x y x y− +

20. x2 + 9

a. ( )23x + b. ( )2

3x − c. ( )( )3 3x x− + d. prime

Solve.

21. x2 – x – 20 = 0 a. 4, –5 b. –4, –5 c. 4, 5 d. –4, 5

22. x2 + 14x = –48 a. –6, –8 b. 6, 8 c. –6, 8 d. 6, –8

23. x2 = 49 a. 7 b. –7, 7 c. –7 d. –1, 49

24. 22

25

x x+ =

a. 5

,22

− b. 1

, 12

− c. 5

2,2

− d. 1

,12

−

25. The area of a triangle is 12. If the altitude is 5 less than the base, find the base and the altitude. a. 8, 3 b. 16, 3 c. 8, 6 d. 8, 9


T-106


Date:


1. 2 16 15x x+ + 1. ____________________________

2. 264 25x − 2. ____________________________

3. 26 19 15x x+ + 3. ____________________________

4. 32 3x x+ 4. ____________________________

5. 2 24 12 9a ab b− + 5. ____________________________

6. 8 10 12 15ax bx ay by− − + 6. ____________________________

7. 3 224 28 80x x x+ − 7. ____________________________

8. 25 4 12a a− − 8. ____________________________

9. 4 256x − 9. ____________________________

10. 2 221 50 25x xy y− + 10. ____________________________

11. 2 4x + 11. ____________________________

12. 4 321 35x y x y− 12. ____________________________

13. 25 3x x+ + 13. ____________________________

14. 2 216 40 25x xy y+ + 14. ____________________________

15. 416 1x − 15. ____________________________


T-107


16. 2 81x − 16. ____________________________

17. 25 5 10x x− − 17. ____________________________

18. 2 220 5 4ax a bx b− + − 18. ____________________________

19. 212 7 10x x+ − 19. ____________________________

20. 26 28 15x x− − 20. ____________________________

Solve.

21. 2 30 0x x+ − = 21. ____________________________

22. 26 11 35x x+ = 22. ____________________________

23. 27 32 15x x+ = 23. ____________________________

24. 24 25 0x − = 24. ____________________________

25. A rectangle has an area of 35. If the length is 3 less than twice 25. ____________________________ the width, find the length and the width.


T-108


Date:


1. 3 3 2 4 2 36 9 15x y x y x y+ − 1. ____________________________

2. 2 264 9x y− 2. ____________________________

3. 225 70 49x x+ + 3. ____________________________

4. 210 21 9x x+ + 4. ____________________________

5. 26 25 4x x+ + 5. ____________________________

6. 6 15 8 20ax bx ay by+ − − 6. ____________________________

7. 3 227 27 30x x x− − 7. ____________________________

8. 2 26a cd abcd b cd− − 8. ____________________________

9. 236 64x − 9. ____________________________

10. 2 216 16 3x xy y− + 10. ____________________________

11. 215 20x x+ 11. ____________________________

12. 24 5x − 12. ____________________________

13. 24 20 25x x+ + 13. ____________________________

14. 264 9x − 14. ____________________________

15. 2 4x + 15. ____________________________


T-109


16. 8 1x − 16. ____________________________

17. 4 5 20xy x y+ + + 17. ____________________________

18. 2 22 3 18 27xw w x+ − − 18. ____________________________

19. 25 15 50x x− − 19. ____________________________

20. 3 218 27 4x x x+ + 20. ____________________________

Solve.

21. 2 56 0x x− − = 21. ____________________________

22. 24 4 35x x+ = 22. ____________________________

23. 25 13 6 0x x+ + = 23. ____________________________

24. 2 36 0x − = 24. ____________________________

25. A rectangle has an area of 120. If the length is one less than twice 25. ____________________________ the width, find the length and the width.


T-110


Date:


1. 28 30 27x x+ + 1. ____________________________

2. 220 7 6x x+ − 2. ____________________________

3. 281 49x − 3. ____________________________

4. 2 216 56 49a ab b− + 4. ____________________________

5. 212 20 4x xy x− + 5. ____________________________

6. 15 10 3 2ax a bx b− + − 6. ____________________________

7. 3 224 2 30x x x+ − 7. ____________________________

8. 2 210 21a ab b− − 8. ____________________________

9. 2 210 160x y− 9. ____________________________

10. 2 29 12 4x xy y− + 10. ____________________________

11. 218 30x x− 11. ____________________________

12. 249 16x + 12. ____________________________

13. 2 24 20 25x xy y+ + 13. ____________________________

14. 2 6 1x x+ + 14. ____________________________

15. 2 81x − 15. ____________________________


T-111


16. 8 16x − 16. ____________________________

17. 221 75 150x x+ − 17. ____________________________

18. 2 2 25 25abx x ab+ − − 18. ____________________________

19. 3 24 6 10x x x− − 19. ____________________________

20. 2 2100 4x y− 20. ____________________________

Solve.

21. 2 2 15x x+ = 21. ____________________________

22. 23 5 28 0x x+ − = 22. ____________________________

23. 225 20 4 0x x− + = 23. ____________________________

24. 2 36 0x − = 24. ____________________________

25. A rectangle has an area of 63. If the length is two more than 25. ____________________________ the width, find the length and the width.


T-112


Date:


1. 2 42x x− − 1. ____________________________

2. 212 25 7x x− − 2. ____________________________

3. 2 8 15x x+ + 3. ____________________________

4. 2 29 30 25a ab b+ + 4. ____________________________

5. 2 26 20 7x y xy− − 5. ____________________________

6. 2 9x + 6. ____________________________

7. 4 3 224 2 2x x x− − 7. ____________________________

8. 2 26 17 45x y xy− − 8. ____________________________

9. 218 33 12x x− + 9. ____________________________

10. 2 26 15x xy y− − 10. ____________________________

11. 23 5 4x x+ + 11. ____________________________

12. 4 221 28x x− 12. ____________________________

13. 2 5x − 13. ____________________________

14. 249 91 40x x+ + 14. ____________________________

15. 2100 9x − 15. ____________________________


T-113


16. 4 81x − 16. ____________________________

17. 3 5 15 25ax x a+ − − 17. ____________________________

18. 2 2 2 29 4 36x y x y− − + 18. ____________________________

19. 3 29 3 3x x x+ + 19. ____________________________

20. 26 35 50x x− + 20. ____________________________

Solve.

21. 2 15 56x x− = − 21. ____________________________

22. 26 15x x− = 22. ____________________________

23. 2 3 28 0x x− − = 23. ____________________________

24. 2 25 0x − = 24. ____________________________

25. The area of a rectangle is 42. If the length is one more than 25. ____________________________ the width, find the length and the width.


T-114


Date:


1. 5 2 218 15x y x y−

a. ( )5 2 23 6 5x y x y− b. ( )2 33 6 5x y x y − c. ( )43 6 5xy x y x− d. ( )518 15xy x y x−

2. 2 14 45x x+ +

a. ( )( )2 7x x+ + b. ( )( )2 7x x− − c. ( ) ( )5 9x x+ + d. ( )( )5 9x x− −

3. 26 13 6x x+ +

a. ( )( )2 2 3 3x x+ + b. ( )( )6 3 2x x+ + c. ( )( )2 3 3 2x x+ + d. ( )( )6 1 6x x+ +

4. 2 236 60 25a ab b− +

a. ( )26 5a − b. ( )2

6 5a b+ c. ( )26 5a b− d. ( )( )3 5 2 5a b a b+ −

5. 3 26 5 7x x x+ +

a. prime b. ( )( )3 1 2 1x x+ + c. ( )( )2 7 3 1x x+ + d. ( )26 5 7x x x+ +

6. 2 5 6 15ax a bx b+ − −

a. prime b. ( )( )3 2 5a b x− + c. ( )( )3 2 5a b x+ − d. ( )( )3 2 5a b x− −

7. 3 23 6 45x x x− −

a. ( )23 2 15x x x− − b. ( )( )3 5 3x x x− + c. ( ) ( )3 5 3x x+ − d. ( )( )3 5 3x x x+ +

8. 2 218 21 60cx cxy cy− −

a. ( )( )3 2 5 3 4c x y x y− + b. ( )( )3 2 5 3 4c x y x y+ −

c. ( )( )3 2 4 3 5c x y x y− + d. ( )( )3 2 4 3 5c x y x y+ −

9. 2 249 4x y−

a. prime b. ( )( )7 2 7 2x y x y− − c. ( )( )7 4 7 4x y x y− + d. ( )( )7 2 7 2x y x y− +

10. 236 4x −

a. prime b. ( )( )4 2 1 2 1x x− + c. ( )( )6 2 6 2x x− + d. ( )26 2x −

11. 2 29 15 4x xy y− +

a. prime b. ( )23 2x y+ c. ( )( )3 4 3x y x y− − d. ( )2

3 2x y−

12. 24 25x +

a. prime b. ( )22 5x + c. ( )( )2 5 2 5x x+ − d. ( )2

2 5x −

13. 22 7 4x x+ +

a. prime b. ( )( )2 4 1x x+ − c. ( )( )2 1 4x x− + d. ( )( )2 1 4x x+ +


T-115


14. 216 56 49x x− +

a. prime b. ( )24 7x − c. ( )( )2 7 8 7x x− + d. ( ) ( )2 7 4 7x x+ +

15. 249 1x −

a. prime b. ( )( )7 1 7 1x x− + c. ( )27 1x − d. ( )2

7 1x +

16. 4 16x −

a. prime b. ( )( )2 24 4x x− +

c. ( )( )( )22 2 4x x x− + + d. ( )( )( ) ( )2 2 2 2x x x x− + − +

17. 2 26 9 10 15x xy xy y+ − −

a. ( )( )2 3 3 5x y x y+ − b. ( )( )2 3 3 5x y x y− + c. ( )( )2 3 3 5x x y+ − d. ( )( )2 3 3 5x y x− +

18. 26 12 10 20x x xy y− − +

a. prime b. ( )( )2 3 5 2x y x− + c. ( )( )2 3 5 2x y x− − d. ( )( )2 3 5 2x y x+ +

19. 24 14 30x x+ −

a. ( )( )2 2 3 5x x− + b. ( )( )2 2 5 3x x− + c. ( )( )4 6 5x x− + d. ( )( )2 3 2 10x x− +

20. 4 3 23 11 20x x x+ −

a. prime b. ( )( )2 24 3 5x x− + c. ( )( )2 5 3 4x x x+ − d. ( )( )2 3 4 5x x x+ −

Solve.

21. 2 4 32 0x x− − = a. 8, –4 b. 4, –8 c. 16, –2 d. 2, –16 22. ( )2 5 7 5x x + − =

a. 5, 7 b. –5, 7 c. 3

,42

− d. –6, 1

23. 24 49x =

a. 7 7

,2 2

− b. 7

2− c.

7

2 d.

49

7

24. 26 15x x− =

a. 3 3

,5 2

− b. 5 3

,3 2

c. 5 3

,3 2

− d. 5 3

,3 2

−

25. The area of a rectangle is 33. If the length is 2 more than three times the width, find the length and the width.

a. 3, 11 b. 11

,133

c. 2, 3 d. –3, –7


T-116


Date:


1. 2 12 35x x− +

a. ( ) ( )5 7x x+ + b. ( )( )5 7x x− + c. ( )( )5 7x x− − d. ( ) ( )5 7x x+ −

2. 26 11 10x x+ −

a. ( )( )3 2 2 5x x− + b. ( )( )3 2 2 5x x+ − c. ( )( )3 5 2 2x x+ − d. ( )( )3 5 2 2x x− +

3. 22 28x x+ −

a. ( )( )4 2 7x x+ − b. ( )( )2 7 4x x+ − c. ( )( )7 2 4x x+ − d. ( )( )2 4 7x x+ −

4. 29 30 25x x+ +

a. ( )23 5x − b. ( )2

3 5x + c. ( )( )9 5 5x x+ + d. ( )( )3 5 5x x− −

5. 3 23 15 6x x x+ −

a. ( )23 5 2x x x+ − b. ( )( )3 2 5x x x− + c. ( ) ( )3 2 3x x+ − d. prime

6. 18 21 30 35xy x y+ − −

a. ( )( )3 5 6 7x y+ − b. ( )( )3 5 6 7x y− − c. ( )( )3 7 6 5x y− + d. ( )( )3 5 6 7x y− +

7. 3 212 4 30x x x− −

a. prime b. ( )( )6 5 2 3x x− + c. ( )( )2 3 3 2 5x x x+ − d. ( )( )2 3 5 2 3x x y x− +

8. 2 249 36x y−

a. ( )27 6x y− b. ( ) ( )7 6 7 6x y x y− + c. ( )2

7 6x y+ d. ( )( )7 4 7 9x y x y− +

9. 23 75x −

a. prime b. ( )( )3 5 5x x− + c. ( )23 5x − d. ( )( )3 15 5x x− +

10. 29 24 16y y+ +

a. ( ) ( )3 4 3 4y y+ − b. ( )23 4y + c. ( )2

3 4y − d. ( )( )3 8 3 2y y+ −

11. 28 40x −

a. ( )( )2 5 4 8x x− + b. ( )( )8 2 5x x− + c. ( )28 5x − d. prime

12. 225 4x +

a. ( )25 2x + b. ( )( )5 2 5 2x x+ − c. ( )( )5 4 5 4x x+ − d. prime

13. 2100 49x −

a. ( )( )10 7 10 7x x− + b. ( )210 7x − c. ( )2

10 7x + d. prime


T-117


14. 24 9x −

a. ( )( )2 3 2 3x x− + b. ( )22 3x − c. ( )( )2 1 2 9x x+ − d. prime

15. 2 2 318 60 50x y xy y+ +

a. ( )( )6 10 3 5x y x y+ + b. ( )22 3 5y x y− c. ( )2

2 3 5y x y+ d. prime

16. 2 22 3 8 12x y x y+ − −

a. ( )( )2 4 2 3x y+ − b. ( )( )2 4 2 3x y+ +

c. ( ) ( )22 2 3x y− + d. ( )( )( )2 2 2 3x x y− + +

17. 23 5 4x x+ +

a. ( )( )3 2 2x x+ + b. ( )( )3 4 1x x+ + c. ( ) ( )3 1 4x x+ + d. prime

18. 2 2 4ax bx ay by+ + +

a. ( )( )4x y a b+ + b. ( )( )2 2x y a b+ + c. ( )( )4x y a b+ + d. prime

19. 3 26 26 60x x x+ −

a. ( )( )6 10 6x x− + b. ( )( )3 5 2 12x x− + c. ( )( )2 3 5 6x x x− + d. ( )( )2 3 5 6x x x+ −

20. 22 3 20x x+ −

a. ( )( )2 5 4x x− + b. ( )( )2 5 4x x+ − c. ( )( )2 4 5x x− + d. ( )( )2 4 5x x− −

Solve.

21. 22 7 30 0x x+ − =

a. 3

, 102

− b. 3

,102

− c. 5

,62

− d. 5

, 62

−

22. 2 20x x− = a. 10, –2 b. –10, 2 c. –5, 4 d. 5, –4

23. 2 25x = a. 25, –1 b. –5 c. 5 d. 5, –5 24. ( )1 25 5x x + − =

a. –4, 5 b. 4, –5 c. –5, 6 d. –6, 5 25. The area of a rectangle is 88. If the length is 3 more than the width, find the length and the width. a. 2, 44 b. 4, 22 c. 8, 11 d. 11, 14


T-118


Name:

Date:

Simplify.

1. –6 – 8 + 4 – 7 1. __________________________

2. ( )( )2 3 55 2x y x y 2. __________________________

3. ( )23− 3. __________________________

4. ( )( )2 7 3 4x x− + 4. __________________________

5. ( ) ( )22 3 5x x x+ − + 5. __________________________

6. 4 2 10x− ≥ 6. __________________________

Solve.

7. ( )3 2 5 8x x− − = 7. __________________________

8. 1 1 1

25 3 3

x x+ = − 8. __________________________

9. Solve for y: 3 6x y− = 9. __________________________

10. Find the equation of the line in slope-intercept form that has slope 10. __________________________ m = 3 and passes through (3, 5).

11. For 3

( )2 5

xf x

x

+=+

, find f (–1). 11. __________________________

12. Solve the system. 3 6 82 4 9

x yx y

− =− =

12. __________________________

Factor completely. If it will not factor, state that it is prime.

13. 12x2 + 7x – 10 13. __________________________

14. 6x2 + 17x – 28 14. __________________________


T-119


Name:

15. x2 + 16 15. __________________________

16. 25x2 – 1 16. __________________________

17. 3x2 + x + 9 17. __________________________

18. 2ax – 3ay + 8x – 12y 18. __________________________

19. ax2 + 4bx2 – 4a – 16b 19. __________________________

20. x2 – 8x + 7 20. __________________________

Solve.

21. x2 – 6x + 8 = 0 21. __________________________

22. 3x2 – 4x – 7 = 0 22. __________________________

23. x2 = –11x – 30 23. __________________________

24. x2 – 16 = 0 24. __________________________

25. The area of a rectangle is 20. If the width is one less than the length, 25. __________________________ find the length and the width.


T-120


Name:

Date:

Simplify.

1. –6 + 12 – 8 – 3 – 5

a. –10 b. 2 c. 6 d. 12

2. ( )( )3 4 5 63 4x y x y−

a. –12x8y10 b. x8y10 c. 12x15y24 d. –12x15y24

3. –32

a. 9 b. –9 c. –6 d. 6

4. (3x – 5)(4x + 3)

a. 212 29 15x − − b. 212 11 15x x+ +

c. 212 11 15x x− + d. 212 11 15x x− −

5. ( )( )25 4 6x x x− + −

a. 3 2 26 30x x x− + − b. 3 2 14 30x x x− − −

c. 3 2 26 30x x x− − + d. 3 29 14 30x x x− − +

Solve. 6. 5 3 8x− ≤

a. 1x ≥ − b. 1x ≤ − c. 1x ≥ d. 1x ≤

7. 3x – 4x + 2 = –2(x – 5)

a. 8 b. 4 c. –4 d. 12

8. 1 1 1

23 4 2

x x− = −

a. 18 b. –4 c. 0 d. 4

9. Solve for l: V = lwh

a. V – wh b. V

wh c.

wV

h− d.

V

w

10. Find the slope of the line passing through (–4, 6) and (–2, 4).

a. 1 b. –1 c. 1

3− d. –5

11. For 3

( )2

g xx

=+

, find g(0)

a. does not exist b. 0 c. 3

2 d.

2

3


T-121


Name:

12. Solve the system. 1

223 1

15 5

x y

x y

+ =

− =

a. (2, 1) b. (0, 2) c. no solution d. 1

3,2

Factor completely. If it cannot be factored, state that it is prime.13. 22 5 12x x+ − a. (2x – 4)(x + 3) b. (2x – 4)(x – 3) c. (2x + 3)(x – 4) d. (2x – 3)(x + 4)

14. 26 11 4x x+ + a. (3x + 1)(2x + 4) b. (3x + 2)(2x + 2) c. (3x + 4)(2x + 1) d. (3x – 2)(2x – 2) 15. 2 2100 9x y−

a. prime b. ( )( )5 3 20 3x y x y− +

c. ( )( )10 3 10 3x y x y− + d. ( )( )10 9 10x y x y− +

16. 3 26 9 15x x x− − a. ( )( )6 5 3x x− + b. ( ) ( )3 2 5 1x x x− +

c. ( )( )2 5 3 3x x− + d. ( )( )3 2 1 5x x x+ −

17. 2 4 5x x+ + a. prime b. (x + 1)(x + 5) c. (x + 5)(x – 1) d. (x – 5)(x + 1) 18. ax – 2bx + 3ay – 6by a. prime b. (x + 1)(x + 5) c. (x + 5)(x – 1) d. (x + 3y)(a + 2b) 19. 2 281 49x y−

a. prime b. ( )29 7x y− c. ( )( )9 7 9 7x y x y− + d. ( )2

9 7x y+

20. 2 4x +

a. prime b. ( )22x + c. ( )( )2 2x x+ − d. ( )2

2x −

21. 4 27 10x x+ +

a. ( )( )2 5 2x x x+ + b. ( ) ( )2 25 2x x+ +

c. ( )( )2 5 2x x x− − d. ( )( )( )2 5 1 1x x x+ + +

Solve. 22. 2 12 35 0x x− + = a. 7, 5 b. –7, –5 c. 7, –5 d. –7, 5


T-122


Name:

23. 23 8 35 0x x+ − =

a. 7, –5 b. 7

, 53

− c. 7

,53

− d. 3

, 57

−

24. 2 49x = a. 7 b. –7 c. 7, –7 d. 49 25. The area of a rectangle is 85. If the length is 2 more than three times the length, find the length and the width. a. 3, 11 b. 9, 31 c. 5, 12 d. 5, 17


T-123


Date:

Simplify.

1. 6 6

2 2

b a

a b

−−

1. ____________________________

2. 2

2

6

8 15

x x

x x

+ −+ +

2. ____________________________

3. 24 5

5 6 24

x x x

x x

+ +⋅+ +

3. ____________________________

4. 22 3

6 18 2

x y xy x

x x y

+ −⋅− +

4. ____________________________

5. 2 2

2 2

8 12 2 9 5

3 10 2 11 6

x x x x

x x x x

− + − −⋅− − − −

5. ___________________________

6. 2 2

2 2

2 15 12 35

10 21 2 11 15

x x x x

x x x x

− − − +⋅− + + +

6. ____________________________

7. 2

2 2

5 6

6 25

x x x

x x x

− − −⋅− − −

7. ____________________________

8. 3 5

2 2

x

x x

−+− −

8. ____________________________

9. 2

2 5 3

2 12 5 3

x

xx x

− −+− −

9. ____________________________

10. 2

3 4 2

2 36 12

x

xx x

+ −−− −

10. ____________________________

11. 2

2 1 4

36 9

x

xx x

+ −−− +

11. ____________________________


T-124


12.

1 12

23

x

x

−

− 12. ____________________________

13.

32 525

x

x−

− 13. ____________________________

14.

13

5 52 6

x

x

−

− 14. ____________________________

Solve.

15. 3 2 4 6

4 4 4

x x

x x x

−− =− − −

15. __________________________

16. 2

21 3 5

3 2 52 15 x xx x= +

− +− − 16. ____________________________

17. 7 21

9x= 17. ____________________________

18. If six apples sell for $.75, what would 8 apples cost? 18. ____________________________


T-125


Date:

Simplify.

1. 3 6

2

a b

a b

−−

a. 0 b. 1

3 c. 6 d. 3

2. 2

2

8 15

2 5 25

x x

x x

− +− −

a. 3

2 5

x

x

−+

b. 3

2 5

x

x

+−

c. 3

2 5x − d.

3

5

x

x

−+

3. 3 4

3 3 2 4

a b

a b a b−

a. 2 2

1

a b b. 0 c.

ab

a b− d. 2 2 4b a b−

4. 2 2

2

16

8 2 4

a b a

a b ab b

− ⋅− +

a. 1

8 2

a

b

−−

b. 2

a

b c.

2a

a b+ d.

2

2

4

a b

b b

−+

5. 2

2

9 25

5 8 9

x x

x x x

− −⋅+ − −

a. 5

8

x

x

−−

b. 5

1

x

x

−+

c. 2

2

14 45

8 9

x x

x x

− +− −

d. 5

8

6. 2 2

2 2

8 15 3 28

20 2 5 3

x x x x

x x x x

− + − −⋅− − − −

a. ( ) ( )( )( )

5 7

5 2 1

x x

x x

+ −− +

b. 7

2 3

x

x

−−

c. 28

2 3

x

x

−−

d. 7

2 1

x

x

−+

7. 2 2

2

4 5 6

26

x x x

xx x

− − +÷+− −

a. ( )2

2

3

x

x

+−

b. ( )2

2

2

x

x

−+

c. ( )( )2 3

3

x x

x

− −+

d. 2x −

8. 3 4 5

2 2

x

x x

− ++ +

a. 3 1

2 4

x

x

++

b. 3 1

2

x

x

++

c. 2 d. 15 20

2

x

x

−+

9. 2

2 1 4

2 32 3

x

xx x

+ +++ −

a. 2

2 5

2 3

x

x x

++ −

b. ( )( )6 3

2 3 1

x

x x

−+ −

c. ( ) ( )2 3

2 1 1

x

x x

−+ −

d. 2 3

2 1

x

x

−+


T-126


10. 2

3 1 4

416

x

xx

− −+−

a. ( ) ( )3 3

4 4

x

x x

+− +

b. 2

5

16 4

x

x x

− −− − +

c. ( ) ( )15

4 4

x

x x

− +− +

d. ( ) ( )3 5

4 4

x

x x

−− +

11. 2

2 3

39

x x

xx

+ +−−

a. ( )( )2 5 3

3 3

x x

x x

+ ++ −

b. ( )( )3 3

3 3

x

x x

++ −

c. 2

3 3

12

x

x x

++ −

d. ( )( )2 3

3 3

x x

x x

− ++ −

12.

2 3

13

a b

b

−

+

a.

1

4ab

b

− b.

2 3

3

b a

ab a

−+

c. 1

3 1ab−

+ d.

2 3

3

b a

a

−+

13. 1

4

a

a b+

−

a. 1

4

a + b.

1

2 c.

2

4 4

a b

a b

−−

d. 1

4 4

a

a b

+−

14.

25 33 1

5 5

x

x

−

+

a. 23 10

9 3

x x

x

−+

b. 3 10

9 3

x

x

−+

c. 2

3 1

x

x

−+

d. 2

3

Solve.

15. 16 5

3x

x x

− = +

a. 5

13 b. 0 c.

11

4 d.

5

12

16. 2

5 3 2

3 52 15 x xx x− =

+ −− −

a. 14

5 b.

16

5− c. 5 d. No solution

17. 3 5

8x=

a. 5

24 b.

11

5 c.

24

5 d. 1

18. On a map, each inch represents 250 miles. How far apart are two cities that are 123 inches apart on the map?

a. 750 miles b. 875 miles c. 71 miles d. 950 miles


T-127


Date:

Perform the indicated operation. Simplify.

1. 2

15 15

18 6

a b

a ab

−−

1. ____________________________

2. 3 2

2

6 18 30

2 15 25

x x x

x x

− −− +

2. ____________________________

3. 2 2

2

3 4 10

2 5 9

x x x x

x x

− −⋅− −

3. ____________________________

4. 2 2

2 2

6 7 20 3 11 20

8 18 5 8 22 5

a a a a

a a a a

− − − −÷+ − − +

4. ____________________________

5. 2 2

2 2

6 13 5 2 8

2 3 20 3 5 2

x x x x

x x x x

− − + −÷+ − − −

5. ___________________________

6. 2 2

3 5

12 9x x x+

+ − − 6. ____________________________

7. 2

5 2 3

3 6

x x

x x

+ −+ 7. ____________________________

8. 2

3 3

511 30

x

xx x

−−−− +

8. ____________________________

9.

13 45 3

6 12

x

x

x

−

− 9. ____________________________

10.

2

3 25 45 2

20

x xx

x x

+− +

+− −

10. ____________________________

11. 2 2

2 2

6 7 20

10 29 10

x xy y

x xy y

− −− +

11. ____________________________


T-128


12. 2

1 4

5 3 10x x x−

− − − 12. ____________________________

Solve.

13. 3 5 2

51

x

x x

−+ =−

13. ____________________________

14. 2

2

4 2 6 1

3 12 3

x x x

x xx x

− − −= −− ++ −

14. ____________________________

15. 5 7

32 2

x

x x

−− =− −

15. ___________________________

16. 2 4

5 3 7x x=

− − 16. ____________________________

17. 5 25

60x= 17. ____________________________

18.

1

22 8

x= 18. ____________________________

19. If 6 CD's cost $51, what would 8 CD's cost at the same price? 19. ____________________________

20. On a house plan, 1 inch represents 15 feet. 20. ____________________________ How many feet would 3.5 inches represent?


T-129


Date:


1. 2

4 8

3 6

x y

x xy

−−

1. ____________________________

2. 3 2

2

2 6

6 9

x x

x x

++ +

2. ____________________________

3. 2 2

3 2

2 6 8 12

2 3 8 24

x x x x

x x x

− −⋅− −

3. ____________________________

4. 2 2

2

3 12

816

x y x xy y

yy

− + −÷ 4. ____________________________

5. 2 2

2 2

2 15 4 16 16

6 2 20 4 18 20

a a a a

a a a a

− − + +⋅+ − + +

5. ___________________________

6. 2 2

3 6

4 4 6x x x x+

− + + − 6. ____________________________

7. 4 2

4 8

x x

y y

− +− 7. ____________________________

8. 2

2 2

39 18

x x

xx x

−−−− +

8. ____________________________

9.

5 43 32 4

3

y

y x

−

− 9. ____________________________

10.

1 12

3 8 16 3

xx

x x

−

− + 10. ____________________________

11. 2

2

6 7 5

24 8 10

x x

x x

− −− −

11. ____________________________


T-130


12. 2

5 4

7 14 49x x x−

− − + 12. ____________________________

Solve.

13. 6 3 5

32

x

x x

−− = −+

13. ____________________________

14. 2

6 3 2 6 3

1 23 2

x x x

x xx x

− + −= ++ ++ +

14. ____________________________

15. 5 5

32 2

x

x x

−+ =− −

15. ___________________________

16. 2 4

3 5 5x x=

− − 16. ____________________________

17. 3 18

24x= 17. ____________________________

18. 3 8

5a= 18. ____________________________


20. On a map 2.5 inches represents 20 miles. How many miles would 20. ____________________________ 7.5 inches represent?


T-131


Date:


1. 2

2

16

7 12

x

x x

−+ +

1. ____________________________

2. 3 2

2

6 15

4 20 25

x y x y

x x

−− +

2. ____________________________

3. 2 2

2 2

3 10 25

2 5 12 36

x x x x

x x x x

+ −⋅− +

3. ____________________________

4. 2

2 2

3 9 27

3 9

x x x

x x

− +⋅−

4. ____________________________

5. 2 2

2 2

6 5 6 2 9 18

6 19 10 2 17 30

a a a a

a a a a

− − + −÷+ + + +

5. ___________________________

6. 2 2

3 2

20 2 24x x x x−

+ − + − 6. ____________________________

7. 4 2

2 4

x x

y y

− +− 7. ____________________________

8. 2

3 2

49 20

x x

xx x

−−−− +

8. ____________________________

9.

3 14

2 18

x

x

−

+ 9. ____________________________

10.

2

3 13 3

1

9

x xx

x

+− +

+−

10. ____________________________

11. 2 2

2 2

6 5 4

12 31 20

x xy y

x xy y

− −− +

11. ____________________________


T-132


12. 2

3 4

5 10 25x x x−

− − + 12. ____________________________

Solve.

13. 6 4 2

42

x

x x

−− = −+

13. ____________________________

14. 2

2

5 2 3 3

2 25 6

x x x x

x xx x

− − −= −+ ++ +

14. ____________________________

15. 2 7

65 5

x

x x

−− =− −

15. ___________________________

16. 3 4

1 1x x=

− + 16. ____________________________

17. 8 24

72x= 17. ____________________________

18. 5

3 9

x= 18. ____________________________


20. On a map 4 inches represents 25 miles. How many miles would 20. ____________________________ 6 inches represent?


T-133


Date:


1. 3 6

5 10

x y

ax ay

−−

1. ____________________________

2. 3 2

2 2

12 18

9 12 4

x x y

x xy y

−− +

2. ____________________________

3. 2 2

2

5 2 5 12

2 3 20

x x x x

x x x

− + −⋅− − −

3. ____________________________

4. 2

2

2 6

5 4

x x x

x x

− − −⋅+ −

4. ____________________________

5. 2 2

2 2

6 7 20 2 15

2 21 2 17 35

a a a a

a a a a

− − + −÷+ − + +

5. ___________________________

6. 3 4

2 2x x+

− + 6. ____________________________

7. 5 5

3 2x+ 7. ____________________________

8. 2

3 5

53 10

x

xx x−

++ − 8. ____________________________

9.

3 25 5

3 25 5

xx

x

−

+ 9. ____________________________

10.

2

3 42

3 1

2

x xx

x x

+−

−−

10. ____________________________

11. 2

2 2

3 5 4 12 9

6 15 2 7 15

x x x

x x x x

− + +⋅− − − +

11. ____________________________


T-134


12. 2

3 4

5 3 10x x x−

− − − 12. ____________________________

Solve.

13. 2 3

12

x

x x

−+ =+

13. ____________________________

14. 2

2

5 3 5 2 1

2 35 6

x x x

x xx x

− − −= −− −− +

14. ____________________________

15. 3 3

12 2x x

− = −+ +

15. ___________________________

16. 3 1 2 1

4 3

x x− −= 16. ____________________________

17. 3 6

8x= 17. ____________________________

18. 5 3

x x= 18. ____________________________


20. Joe charges $150 for 122 hours of computer repair. What would 20. ____________________________

he charge for 6 hours work at the same rate?


T-135


Date:


1. 2

4 8

6 12

x

x x

−−

a. 2

2 2

3 3

x

x x

−−

b. 2

3 c.

4

6x d.

2

3x

2. 2

2

6 3

4

x x

x

−−

a. 3

2

x

x−

+ b.

6 3

4

x − c.

3

2

x

x + d.

3

2

x

x −

3. 2

2

4 21

8 15

x x

x x

+ −− +

a. 3

2 5

x

x

− −+

b. 17

7

− c.

1 7

2 5x− − d.

7

5

x

x

+−

4. 2

2

9 25

5 8 9

x x

x x x

− −⋅+ − −

a. 5

8

x

x

−−

b. 5

1

x

x

−+

c. 2

2

25

8 45

x

x x

+− −

d. 5

8

x

x

+−

5. 2 2

2 2

10 16 3 2

5 6 7 6

x x x x

x x x x

− + − +÷− − − +

a. ( )( )( )( )

2

2

8 2

1 6

x x

x x

− −

+ − b.

( )7 3 4

8

x − c.

8

1

x

x

−+

d. 4

7

x

x

−+

6. 2

5 1

416

x

xx−

−−

a. ( ) ( )4 4

4 4

x

x x

−− +

b. 4

4x + c. ( ) ( )

5 1

4 4

x

x x

−− +

d. 5

4

x

x −

7. 5 3 1

6 3

x

x

−−

a. 3 4

9

x

x

− + b.

2

6

x

x

− + c.

2

6

x

x

− − d.

1

3−

8. 2 2

2 1

12 2 15

x x

x x x x

+ −− − − −

a. ( )( )( )2 13 5

3 4 5

x x

x x x

− −+ − −

b. ( )( )2 5

3 4

x

x x

−+ −

c. 1

3

x

x

++

d. ( )( )( )2 5 5

3 4 5

x x

x x x

− −+ − −


T-136


9.

1 1

2x y

x y

+

+

a. 1 b. ( )2

2

x y

xy

+ c.

1

2 d.

( )2

2

x y+

10. 2

1 33 3

3x x x

++ +

a. 1

3x b.

2

12

3x x+ c. ( )

1

3x x + d.

2

3

3 9

x

x x

++

11. 3 2

3 2

6 28 10

2 35

x x x

x x x

+ −− −

a. 18

7 b.

3 1

7

x

x

++

c. ( )2 3 1

7

x

x

−−

d. ( )3 1

7

x x

x

−−

12. 2

2 4

3 4 21x x x+

− + −

a. ( )( )6

3 7x x− + b. ( )( )

2 10

3 7

x

x x

−− −

c. ( )( )6

3 7x x− − d. ( )( )

2 18

3 7

x

x x

+− +

Solve.

13. 6 3 1

31

x

x x

−+ =−

a. 4

3 b.

3

4 c. 1 d. 3

14. 2

2

3 2 16 1

3 412

x x x

x xx x

− − += −− ++ −

a. No solution b. 1− c. 3 d. 1

15. 2

2

2 2 3

2 24

x x x

x xx

+ −− =− +−

a. No solution b. 2 c. 2− d. 10

3−

16. 2 4

6 5 7 5x x=

− −



T-137


17. 8 7

5x=

a. 40

7 b.

7

40 c.

56

5 d.

5

56

18. 3.7

2.4 12

x=

a. 7.8 b. 106.56 c. 18.5 d. 9

19. A student is working on a take home exam. If it took 30 minutes to complete 20 questions, how long will it take to do the next 50 questions, assuming the same rate of work?

a. 60 minutes b. 1

333

minutes . c. 75 minutes d. 90 minutes

20. Three inches on a map represents 20 miles. How many miles do 12 inches represent?

a. 80 miles b. 1.8 miles c. 5 miles d. 60 miles


T-138


Date:


1. 2

8 4

10 5

x

x x

−−

a. 0 b. 4

5x c.

1

x d.

4

2x −

2. 24

2

x

x

−−

a. 2x− − b. 2 x− c. 2 d. 4−

3. 2

2

3 9 3 10

4 20 6 12

x x x

x x x

− + −⋅+ −

a. 3

4 b. ( )

5

4 5

x

x

−+

c. 3

8

x

x

− d.

3

8−

4. 2 2 2

3 3

9 2 5 3

x y x

x x xy y

− ⋅− −

a. ( )3 2x x y+ b. ( )1

3 2x x y+ c.

( )2

3

9 2

x

x x y+ d.

1

3x

5. 2

2

4 5 5

42 1

x x x

xx x

− − −÷++ +

a. ( )

( ) ( )

25

1 4

x

x x

−+ +

b. 5 c. ( ) ( )

2

1 4

1

x x

x

+ ++

d. 4

1

x

x

++

6. 5 2

5

x x

x x

+ −++

a. 2x

x

− b. 2 3x + c. ( )

22 8 25

5

x x

x x

+ ++

d. 2 3

2 5

x

x

++

7. 2 2

2 2

9 3 28

16 4 21

x x x

x x x

− − −⋅− − −

a. ( )( )

9 3 28

16 4 21

x

x

++

b. 2

2

2 3

2 4

x x

x x

−−

c. 3

4

x

x

−−

d. 3

4

x

x

+−

8. 2

3 4

3 26 11 10

x

xx x+

+− −

a. ( ) ( )3 4

3 2 2 5

x

x x

++ −

b. ( ) ( )11 20

2 5 3 2

x

x x

−− +

c. ( )( )4

11 10 3 2x x− + d.

4

2 5

x

x

−−


T-139


9.

25

5

xx

xx

−

+

a. 5− b. 5x + c. ( )5x x − d. 2

2

25

5

x

x

−+

10.

2 151

5

x x

x

+−

−

a. 3

5x − b.

12

x+ c.

3 5x

x

− d.

3x

x

−

11. 2 28 16 16

5 20 5

x x x

x

+ + −÷+

a. ( )2

4

4

x

x

−+

b. 1

4x + c.

4

25

x − d.

1

4x −

12. 5 2

5

x x

x x

+ − +−+

a. 2x

x

− b. 2 3x + c. ( )

22 8 25

5

x x

x x

+ ++

d. 2 3

2 5

x

x

++

Solve.

13. 3 5

52 2

x

x x

−− =− −


14. 2

2

2 4 2 10

5 5 25

x x

x x x

+− =− + −

a. No solution b. 5− c. 5

3 d.

5

3−

15. 3 5

42 7

x

x

+= −+

a. No solution b. 25

3− c.

27

5− d. 7−

16. 2 5

7 3x x=

− +

a. No solution b. 3

41 c.

41

3 d.

3

41−


T-140


17. 3 2

5x=

a. 2

15 b.

15

2 c.

10

3 d.

3

10

18. 3.5

2.1 10.5

x=

a. 17.5 b. 15.1 c. 6.5 d. 5

19. If it takes 2 hours to go 250 miles in an airplane, how long will it take to go 625 miles?

a. 5 hr b. 3 hr c. 4 hr d. 3.5 hr

20. One inch on a map represents 350 miles. How many miles do 2 inches represent?

a. 700 miles b. 875 miles c. 175 miles d. 900 miles


T-141


Date:

Simplify.

1. 100 1. ____________________________

2. 16

25 2. ____________________________

3. 121 3. ____________________________

4. 49− 4. ____________________________

5. 3− 5. ____________________________

6. 12x 6. ____________________________

7. 8 425x y 7. ____________________________

8. 50 8. ____________________________

9. 5x 9. ____________________________

10. 936x 10. ____________________________

11. 824a b 11. ____________________________

12. 4 3 2 3+ 12. ____________________________

13. 72 18− 13. ____________________________

14. 50 72+ 14. ____________________________

15. 24 18 54− + 15. ____________________________

16. 2 5 3 45+ 16. ____________________________

17. ( )3 5 2 5 17. ____________________________

18. ( )3 2 4 3 18. ____________________________


T-142


19. ( )2 6 3 5− 19. ____________________________

20. ( )22 3 5+ 20. ____________________________

21. ( )( )3 2 5 3 2 5− + 21. ____________________________

22. ( )2

2 3 4 5− 22. ____________________________

23. 8

27

x 23. ____________________________

24. 1

2 24. ____________________________

25. 2

3 25. ____________________________

26. 3 5

2 3 5

+−

26. ____________________________

Use the Pythagorean Theorem to find the missing side.

27. 6, 5a b= = 27. ____________________________

28. 8, 10a c= = 28. ____________________________

Solve.

29. 3 6 6x + = 29. ____________________________

30. 2 5 7x − = 30. ____________________________

31. 12 6 9x= + + 31. ____________________________

32. y varies indirectly as x. When x = 9, y = 3. Find y when x = 27. 32. ____________________________


T-143


Date:

Simplify.

1. 36

a. 36 b. 18 c. 6 d. 6

2. 49

16

a. 49

16 b.

7

4 c.

7

2 d.

7

2

3. 256

a. 16 b. 4 c. 2 d. 16

4. 81−

a. 9− b. 9 c. –9 d. not real

5. 4−

a. 2 b. 2− c. –2 d. not real

6. 6x

a. 3x b. 2x c. 3x d. x

7. 6 416x y

a. 3 22x y b. 3 24x y c. 32x y d. 3 24x y

8. 24

a. 4 6 b. 2 6 c. 3 8 d. not real

9. 7x

a. 3x b. 2x x c. 5x x d. 3x x

10. 525x

a. 5x b. 5x x c. 25x x d. 5x x

11. 5 412a b

a. 2 22a b b. 2 32 3ab a c. 23 4a b ab d. 2 22 3a b a

12. 3 2 2+

a. 4 4 b. 8 c. 4 2 d. 4

13. 75 48−

a. 27 b. 3 3 c. 3 d. 1

14. 63 28 24− +

a. 2 13 b. 59 c. 7 2 6+ d. 7 2 6+


T-144


15. 12 18 50− +

a. 2 3 2 2+ b. 4 5 c. 44 d. 2 11

16. 75 98 3 32 27− + +

a. 8 3 3 2− b. 3 5 3 2− c. 8 3 5 2+ d. 16 3 7 2−

17. ( )2 3 3 5

a. 10 9 b. 6 15 c. 5 8 d. 5 15

18. ( )2 3 6 6

a. 12 18 b. 36 2 c. 8 9 d. 24

19. ( )3 6 4 5+

a. 3x b. 2x x c. 5x x d. 3x x

20. ( )23 5−

a. 5x b. 5x x c. 25x x d. 5x x

21. ( )( )5 7 5 7− +

a. 5 7− b. 2 35− + c. 12 d. –2

22. ( )23 5 3+

a. 48 b. 9 5 3+ c. 48 6 15+ d. 48 3 15+

23. 6

45

x

a. 3

3 5

x b.

3

9 5

x c.

2

5 3

x d.

2

3 5

x

24. 2

5

a. 2 5 b. 2 5

5 c.

10

5 d.

1

2

25. 2

3 2−

a. 8

7 b.

6 2 2

7

+ c.

6 2 2

7

− d. 6 2 2+

26. 2 3 5

3 2 5

−+

a. 16 5 5

7

−−

b. 1 c. 2 d. 2 3 5

7

−−


T-145


Use the Pythagorean Theorem to find the missing side.

27. 3, 4a b= = a. 7 b. 5 c. 49 d. 25

28. 5, 55a c= =

a. 5 2 b. 2 15 c. 30 d. 6 Solve.

29. 2 20 7x+ + = a. no solution b. –15 c. –17 d. 5

30. 3 4 5x + =

a. 7 b. 5 c. 1

3 d. 3

31. 7 6 4x= + − a. no solution b. 3 c. –37 d. 115 32. y varies directly as x. y = 6 when x = 12. Find y when x = 8. a. 4 b. –4 c. 16 d. 14


T-146


Date:

Simplify.

1. 25 1. ____________________________

2. 16

25 2. ____________________________

3. 8 225x y 3. ____________________________

4. 527x y 4. ____________________________

5. 98 3 2 18− + 5. ____________________________

6. 2 227 48 12a a a+ + 6. ____________________________

7. ( )( )3 2x x 7. ____________________________

8. ( )3 27 6− 8. ____________________________

9. ( )2

2 3 2+ 9. ____________________________

10. ( )( )3 3 5 4 3 6− + 10. ____________________________

11. 1

3 11. ____________________________

12. 12

2 12. ____________________________

13. 3

2 3− 13. ____________________________


T-147


14. 2 3 2

3 3 4 2

−+

14. ____________________________

15. Use the table of square roots or a calculator to approximate 135 . 15. ____________________________ Round to the nearest hundredth.

Find the missing side using the Pythagorean Theorem.

16. 8, 4a b= = 16. ____________________________

17. 5, 7a c= = 17. ____________________________

Solve.

18. 2 9 4 9x + + = 18. ____________________________

19. 2 2 3x x+ = − 19. ____________________________

20. y varies directly as x. y = 12 when x = 3. Find y when x = 6. 20. ____________________________


T-148


Date:

Simplify.

1. 64 1. ____________________________

2. 81

36 2. ____________________________

3. 8 225x y 3. ____________________________

4. 5 432x yz 4. ____________________________

5. 54 24+ 5. ____________________________

6. 2 25 20 45x x x+ − 6. ____________________________

7. ( )( )2 3a a 7. ____________________________

8. ( )2 3 3 6 4 3+ 8. ____________________________

9. ( )2

2 3 4+ 9. ____________________________

10. ( )( )3 4 3 5+ − 10. ____________________________

11. 2

3 11. ____________________________

12. 3

15 12. ____________________________

13. 2

2 4− 13. ____________________________


T-149


14. 3 4

2 3 5

−+

14. ____________________________



16. 8, 12a b= = 16. ____________________________

17. 5, 8a c= = 17. ____________________________

Solve.

18. 3 2 5x − = 18. ____________________________

19. 12 13 4x x+ = + 19. ____________________________



T-150


Date:

Simplify.

1. 36 1. ____________________________

2. 16

9 2. ____________________________

3. 2 625x y 3. ____________________________

4. 350x y 4. ____________________________

5. 48 27+ 5. ____________________________

6. 2 245 20 50a a a+ + 6. ____________________________

7. ( )( )( )6 6 2x x x 7. ____________________________

8. ( )2 3 3 4 2− 8. ____________________________

9. ( )2

2 7 5+ 9. ____________________________

10. ( )( )2 5 3 5 3− + 10. ____________________________

11. 5

8 11. ____________________________

12. 5

6 12. ____________________________

13. 4

2 3− 13. ____________________________


T-151


14. 5 2

4 3 2

+−

14. ____________________________



16. 8, 6a b= = 16. ____________________________

17. 12, 15a c= = 17. ____________________________

Solve.

18. 2 4 4x − = 18. ____________________________

19. 3 6x x= − 19. ____________________________



T-152


Date:

Simplify.

1. 49 1. ____________________________

2. 81

64 2. ____________________________

3. 6 2100x y 3. ____________________________

4. 8 356x y 4. ____________________________

5. 20 245+ 5. ____________________________

6. 64 12 48+ + 6. ____________________________

7. ( )( )2 3x x 7. ____________________________

8. ( )5 15 3− 8. ____________________________

9. ( )2

2 3 5+ 9. ____________________________

10. ( )( )2 7 5 7 4− + 10. ____________________________

11. 1

5 11. ____________________________

12. 5

15 12. ____________________________

13. 2

2 2− 13. ____________________________


T-153


14. 2 3 5

3 3 4

−+

14. ____________________________



16. 12, 6a b= = 16. ____________________________

17. 3, 5 2a c= = 17. ____________________________

Solve.

18. 2 7 4 9x + + = 18. ____________________________

19. 12x x+ = 19. ____________________________

20. y varies directly as x cubed. y = 24 when x = 2. Find y when x = 1. 20. ____________________________


T-154


Date:

Simplify.

1. 100

a. 50 b. 2 5 c. 10 d. 20

2. 49

36

a. 49

6 b.

7

6 c.

7

6 d.

7

6

3. 4 1216x y

a. 2x2y3 b. 2xy3 c. 4x2y6 d. 4x2y4

4. 3 448x yz

a. 24 3xz xy b. 224xyz c. 224xz xy d. 24 3xyz x

5. 3 2 27 48+ −

a. 7 3 2 24− b. 4 3 2 24− c. 0 d. 3 3

6. 12 27 5 3a a a+ −

a. 0 b. 5 3 27a a+ c. 3a d. 12 2 3a a−

7. ( )( )( )6 2 3x xy y

a. 6xy b. 18 2xy c. 18 2xy d. 36xy

8. ( )2 6 3 2 18− +

a. 12 6− b. 2 3 12+ c. 12 3 2− d. 2 3

9. ( )23 5−

a. 4 b. 9 5− c. 14 6 5− d. 4 6 5−

10. ( )( )3 2 7 2 2 3 7− +

a. 9 7 14− + b. –9 c. 12 7 14 3 7+ − d. 3 3−

11. 4

3

a. 2

3 b.

2

3 c.

2 3

3 d.

3

3

12. 2

12

a. 1

6 b.

6

6 c.

12

6 d.

3

3


T-155


13. 3

5 6−

a. 15 3 6

19

− b.

15 3 6

19

+ c. 15 3 6− + d. 15 3 6+

14. 3 2

4 2

−+

a. 14 7 2

12

− b.

2 2

2

− c.

7 2

2 d.

10 2

6

−

15. Use the table of square roots or a calculator to approximate 71 . Round to the nearest hundredth. a. 5041 b. 8.37 c. 8.43 d. 8.54 Find the missing side using the Pythagorean Theorem.

16. 3, 5a b= =

a. 8 b. 2 2 c. 34 d. 3 5+

17. 2 5, 5a c= =

a. 5 b. 3 5 c. 3 5− d. 2 Solve.

18. 3 4 3 2x + − = a. no solution b. 7 c. –7 d. –3

19. 10 2x x+ = − a. no solution b. –1 c. 6 d. 6, –1 20. y varies directly as x2. y = 18 when x = 3. Find y when x = 4. a. 6 b. 8 c. 24 d. 32


T-156


Date:

Simplify.

1. 81

a. 9 b. 81 c. 9 d. 3

2. 81

36

a. 81

6 b.

1

2 c.

3

2 d.

7

6

3. 6 1025x y

a. 2 5 25x y x b. 3 105x y c. 3 55x y xy d. 5x3y5

4. 5 232x y z

a. 24 2x y xz b. 22 16x y z c. 4 2xy xz d. 32xy xz

5. 2 5 20+

a. 10 b. 2 25 c. 4 5 d. 20

6. 2 27 18 12− +

a. 2 21 b. 8 3 3 2− c. 5 3 3 2− d. 5 3

7. ( )( ) ( )36 2 3x x x

a. 26 2x x b. 212 3x x c. 26x x d. 22 18x x

8. ( )12 3 2 3−

a. 0 b. 6 6 6− c. 6 2 6− d. 3 2 3−

9. ( )22 3+

a. 7 b. 7 2 3+ c. 7 4 3+ d. 5

10. ( )( )3 2 2 3 2− +

a. 4 b. 4 2 6+ c. 4 6− d. 2 3 2−

11. 5

3

a. 5

3 b.

15

3 c. 5 d.

3 5

5

12. 3

5

a. 15

5 b. 3 c. 3 d.

3 5

5


T-157


13. 5

3 1−

a. 5 3 5

2

+ b.

5 3 5

4

+ c.

5 3 5

8

− d.

5 3 5

2

−

14. 2 3 5

4 3 2

−+

a. 17 16 3

22

− b.

17 12 3

22

− c.

17 24 3

22

− d.

17 8 3

22

−

15. Use the table of square roots or a calculator to approximate 127 . Round to the nearest hundredth. a. 11.27 b. 11.31 c. 63.5 d. 11.23 Find the missing side using the Pythagorean Theorem.

16. 4, 6a b= =

a. 42 b. 10 c. 2 13 d. 42 17. 7, 10a c= =

a. 163 b. 3 c. 51 d. 17 Solve.

18. 2 6 3 1x + − = a. no solution b. 5 c. 2 d. –1

19. 2 4x x+ = − a. no solution b. 7 c. 7, 2 d. 2 20. y varies directly as x. y = 10 when x = 40. Find y when x = 20.

a. 5 b. 80 c. 20 d. 1

4


T-158


Name:

Date:

1. What is 12% of 860? 1. __________________________

Simplify.

2. 3 – 5(2 – 6)2 2. __________________________

3. 2

2 3

2 4x x+

− − 3. __________________________

4. 2 2

2 2

2 6 4 17 15

4 5 6 2 7 15

x x x x

x x x x

− − − −⋅− − − −

4. __________________________

5. ( )22 3x − 5. __________________________

Solve.

6. 2x2 – 3x – 9 = 0 6. __________________________

7. 1 2 3

3 5 5x + = 7. __________________________

8. 4(x – 3) – 8 = 4 8. __________________________

Factor.

9. 4x2 – 25 9. __________________________

10. 18x2 – 15x – 25 10. __________________________


11. 2 43 4 12x yx y− =+ = −

11. __________________________

12. A rectangle has a perimeter of 24. The length is three times the width. 12. __________________________ Find the width and the length.

Simplify.

13. 6 449x y 13. __________________________

14. 27 12 2 3+ − 14. __________________________


T-159


Name:

15. ( )22 3− 15. __________________________

16. 2

1 2+ 16. __________________________

17. ( )( )2 3 5 3 4 5− + 17. __________________________

18. 49− 18. __________________________

19. 25 19. __________________________

20. If y varies inversely as x, and y is 8 when x is 2, find y if x is 4. 20. __________________________


T-160


Name:

Date:

1. What is 7% of 25?

a. 175 b. 1.75 c. 3.6 d. 357

Simplify. 2. 5 – 3(4 – 8)

a. –7 b. –8 c. 8 d. 17

3. (2x – 5)(3x + 4)

a. 6x2 + 23x – 20 b. 6x2 + 7x + 20 c. 6x2 – 7x – 20 d. 6x2 + 7x – 20

4. 2

22

6 7 53 20 25

2 9 5

x xx x

x x

− − ÷ − +− −

a. 1 b. 3

5x − c. ( )2

5x − d. ( )2

1

5x −

5. ( )2

2 3x −

a. 4x2 – 9 b. 2x2 + 9 c. 4x2 – 12x + 9 d. 4x2 – 6x + 9

Solve. 6. 23 11 20 0x x+ − =

a. 4

, 53

− b. 4

,53

− c. 4

, 53

− − d. 4

,53

7. 1 2

33 5

x x− =

a. –3 b. 3 c. –45 d. no solution

8. 3x = 2(5 + 2x)

a. 2 b. –2 c. –10 d. 10

Factor. 9. 2 16x −

a. ( )24x − b. ( )2

4x +

c. ( ) ( )4 4x x− + d. ( )( )( )2 2 4x x x− + +

10. 26 23 4x x+ −

a. ( ) ( )6 1 4x x− + b. ( )( )2 1 3 4x x+ − c. ( )( )2 2 3 2x x+ − d. ( )( )6 1 4x x+ −

11. Solve by any method. 3 5

2 4x y

x y+ =

− =

a. ( )2, 2− − b. ( )2, 1− c. ( )0,5 d. ( )1,2


T-161


Name:

12. A rectangle has a perimeter of 22. The length is 2 more than twice the width. Find the width and the length.

a. 6, 14 b. 4, 10 c. 7, 15 d. 3, 8

Simplify.

13. 8 264x y

a. 48x y b. 432x y c. 24x y d. 8 28x y

14. 8 18 3 2+ −

a. 24 b. 2 6 c. 2 2 d. 2 2−

15. ( )23 2 2+

a. 22 b. 34 2 c. 9 2 4+ d. 22 12 2+

16. 3

1 2−

a. 3 3 2− − b. 3 3 2− + c. –3 d. 3 3 2− 17. ( )( )2 3 2 3 3 2 2− +

a. 14 b. 14 6+

c. 46 6+ d. 6 3 6 2 2− −

18. 100− a. –10 b. 10 c. –100 d. 100 19. 36 a. –6 b. 6 c. –36 d. 36 20. If y varies directly as x, and y is 12 when x is 4, find y if x is 6. a. 3 b. 2 c. 18 d. 9


T-162


Date:

Solve by factoring.

1. 2 5 14 0x x− − = 1. ____________________________

2. 26 13 15x x− = 2. ____________________________

3. 29 12 5x x− = 3. ____________________________

4. 26 43 40 0x x− − = 4. ____________________________

Solve by taking the square root of each side of the equation.

5. 2 17x = 5. ____________________________

6. 22 50x = 6. ____________________________

Solve by completing the square.

7. 2 6 1 0x x+ + = 7. ____________________________

8. 2 8 6x x+ = − 8. ____________________________

Solve if possible by using the quadratic formula.

9. 22 4 5 0x x+ − = 9. ____________________________

10. 24 6 9 0x x− + = 10. ____________________________

11. 23 4 5 0x x+ − = 11. ____________________________

12. 22 8 5 0x x− + = 12. ____________________________


T-163


Graph.

13. 2 2 4y x x= + + 13.

x

y

14. 22 4 3y x x= + − 14.

x

y

15. A rectangle has an area of 35. The length is 3 less than twice the 15. ____________________________ width. Find the length and the width.


T-164


Date:

Solve by factoring.

1. 2 2 63 0x x+ − = a. 9, –7 b. 7, –9 c. 3, –21 d. 21, –3

2. 23 11 20x x= +

a. 4

, 53

− b. 4

, 53

c. 4

, 53

− − d. 4

, 53

−

3. 26 11 10x x= +

a. 2 5

,3 2

− b. 5 2

,2 3

− c. 5

1,3

− d. 5

1,3

−

4. 217 15 4x x+ =

a. 5

4,4

− b. 5

4,4

− c. 3

, 54

− d. 3

, 54

−

Solve by taking the square root of each side of the equation.

5. 2 9 16x − = a. 25 b. 5 c. –5 d. 5, –5

6. 22 1 97x − =

a. 49 b. 98

2 c. 7 d. 7, –7

Solve by completing the square.

7. 2 4 2 0x x+ + =

a. 2 2− ± b. 2 2± c. 0 d. 4

8. 22 4 8 0x x+ − =

a. 5 b. 1 c. 5 1± − d. 5 1+

Solve if possible by using the quadratic formula.

9. 23 2 4 0x x+ − =

a. 1 13

3

− + b. 1 2 13− + c. 1 52− ± d. No real solution

10. 22 8 3x x= − −

a. 2 2 10− ± b. 4 10

2

− ± c. 2 40− ± d. No real solution


T-165


11. 26 5 0x x+ + =

a. 1 73

12

− ± b.

1 71

12

− ± c.

1 73

2

± d. No real solution

12. 23 6 1x x+ =

a. 4 3± b. 1 4 3− ± c. 3 2 3

3

− ± d. No real solution

Graph.

13. 2 4y x x= +

a. b. c. d.

y

x

y

x

y

x

y

x

14. 22 8 5y x x= − +

a. b. c. d.

y

x

y

x

y

x

y

x

15. A rectangle has an area of 70. The length is 3 more than the width. Find the length and the width. a. 5, 7 b. 8, 11 c. 6, 9 d. 7, 10


T-166


Date:

Solve by any desired method. If there is no real solution, say so.

1. 2 3 40 0x x+ − = 1. ____________________________

2. 23 10 0x x+ − = 2. ____________________________

3. 2 5 1 0x x+ + = 3. ____________________________

4. 22 3 8 0x x+ + = 4. ____________________________

5. 23 12 0x − = 5. ____________________________

6. 2 10 9x − = 6. ____________________________

7. 23 14 0x x− − = 7. ____________________________

8. 225 10 1 0x x− + = 8. ____________________________

9. 212 25 7 0x x− − = 9. ____________________________

10. 2 20x x= + 10. ____________________________

11. 2 2 5 0x x+ − = 11. ____________________________

12. 22 5 9 0x x− + + = 12. ____________________________


T-167


Graph.

13. 2 2 5y x x= + − 13.

x

y

14. 22 4 1y x x= − + + 14.

x

y

15. The area of a rectangle is 120. The length is 2 more than the width. 15. ____________________________ Find the length and the width.


T-168


Date:

Solve by any method. If there is no real solution, say so.

1. 22 13 7 0x x− − = 1. ____________________________

2. 26 1 0x x+ − = 2. ____________________________

3. 22 8 4 0x x+ − = 3. ____________________________

4. 24 400x = 4. ____________________________

5. 2 4 9x + = 5. ____________________________

6. 2 2 63 0x x+ − = 6. ____________________________

7. 23 4 7x x− = 7. ____________________________

8. 25 2 1 0x x− + = 8. ____________________________

9. 25 6 8 0x x+ − = 9. ____________________________

10. 23 2 6 0x x− − = 10. ____________________________

11. ( ) ( )8 2 2 3x x x− = − + 11. ____________________________

12. 24 7 3 3x x− − + = 12. ____________________________


T-169


Graph.

13. 2 4y x 13.

x

y

14. 2 2 4y x x= − + 14.

x

y

15. The area of a rectangle is 56. The length is 1 more than the width. 15. ____________________________ Find the length and the width.


T-170


Date:


1. 22 11 21 0x x− − = 1. ____________________________

2. 23 5 1 0x x+ + = 2. ____________________________

3. 25 11 12x x− = 3. ____________________________

4. 26 25 21 0x x− + = 4. ____________________________

5. 23 48x = 5. ____________________________

6. 2 15 42x + = 6. ____________________________

7. 25 31 28x x= − + 7. ____________________________

8. 23 4 5 0x x− − = 8. ____________________________

9. ( )4 4 4x x x+ = + 9. ____________________________

10. 2 7 0x x− + = 10. ____________________________

11. 2 1 1

4 8x x− = 11. ____________________________

12. 24 20 25 0x x− + = 12. ____________________________


T-171


Graph.

13. 2 6y x x= − 13.

x

y

14. 22 8 4y x x= + + 14.

x

y

15. The area of a rectangle is 60. The length is 2 less than twice the 15. ____________________________ width. Find the length and the width.


T-172


Date:


1. 26 12 0x x+ − = 1. ____________________________

2. 24 25 21 0x x− − = 2. ____________________________

3. 23 5 7 0x x+ − = 3. ____________________________

4. 26 6x = 4. ____________________________

5. 2 4 44x − = 5. ____________________________

6. 23 7 20x x− = 6. ____________________________

7. 28 61 35 0x x− + = 7. ____________________________

8. 23 2 8 0x x+ + = 8. ____________________________

9. 225 30 9 0x x+ + = 9. ____________________________

10. 24 12 40x x− = 10. ____________________________

11. 23 8 0x x+ − = 11. ____________________________

12. ( ) ( )3 3 2 10x x x+ = − − 12. ____________________________


T-173


Graph.

13. 2 2 3y x x= − + 13.

x

y

14. 2 4 8y x x= − − − 14.

x

y

15. The area of a rectangle is 44. The length is 1 less than three times 15. ____________________________ the width. Find the length and the width.


T-174


Date:


1. 2 12 0x x− − = a. 2, 6− b. 6− , 2 c. 4, 3− d. 4− , 3

2. 23 75x =

a. 5± b. 5 3

3

± c.

75

3

± d. 5

3. 23 7 3 0x x+ + =

a. 1

,3

− 3− b. 7 85

6

− ± c.

7 85

6

− ± d. 1− , 1

4. 24 6 5x x− =

a. 5

,2

2− b. 3 2 29

4

± c.

3 29

4


5. 23 2 0x x− + =

a. 3,− 2 b. 2, 3− c. 1 2 3

6


6. 218 9 2x x− =

a. 1

,6

− 2

3 b.

1,

3 3− c.

1,

3− 3 d. No real solution

7. 22 16 36x + =

a. 3, 6− b. 10± c. 5± d. No real solution

8. 2 3 6 6x x+ + = a. 4, 1− b. 0, 3− c. 4,− 1 d. No real solution

9. ( ) ( )3 1 2 5x x x+ = +

a. 3, 5

2− b. 2,

5

3− c.

5,

3 2− d. No real solution

10. 2 5 1

6 6x x+ = −

a. 1

,3

− 1

2− b.

1,

2 1

3 c.

5 21

12



T-175


11. 216 1 8x x+ =

a. 1

4− b.

1

4 c.

1

4± d. No real solution

12. 2 2 2x x= +

a. 1 3± b. 1 3− ± c. 1 5

2


Graph.

13. 2 4y x x

a. b. c. d.

y

x

y

x

y

x

y

x

14. 22 8 5y x x

a. b. c. d.

y

x

y

x

y

x

y

x

15. The hypotenuse of a right triangle is 10. One side is 2 less than the other. Find the length of each leg. a. 3, 5 b. 5, 7 c. 8, 6 d. 4, 6


T-176


Date:


1. 2 3 6 0x x+ − =

a. 3, 2− b. 3 33

2

− ± c. 2, 3− d. No real solution

2. 22 7 4x x+ =

a. 1

,2

–4 b. 4, 1

2 c. 1, 1− d. No real solution

3. 22 72x =

a. 3 2± b. 72

2

± c. 6, 6− d. No real solution

4. 212 11 5 0x x− − =

a. 1

,4

5

3− b.

5,

3−

1

4 c.

1,

3−

5

4 d. No real solutions

5. 2 8 2 0x x+ + =

a. 4 2 14− ± b. 4 14− ± c. 2,− 4 d. No real solutions

6. 214 8 15x x+ =

a. 4

,3

2

5− b.

2,

3

4

5 c.

2,

3

4

5− d. No real solutions

7. 23 2 7 0x x− + =

a. 2 22

3

± b.

7,

3 1− c.

1 22

3

± d. No real solutions

8. ( )3 10x x + =

a. 3,− 10 b. 2, 5− c. 0, 3− d. No real solutions

9. 212 23 5 0x x+ + =

a. 3, 1

4 b.

5,

3−

1

4− c.

5,

3

1

4− d. No real solutions

10. 2 7 10 0x x+ + = a. 5, 2 b. 5,− 2 c. 5,− 2− d. No real solutions


T-177


11. 29 1 6x x+ =

a. 1

3 b.

1

3− c.

1

3± d. No real solutions

12. 2 3 3x x= +

a. 3 21

2

± b.

3 3 21

2

− ± c.

3 3 7

2

± d. No real solutions

Graph.

13. 2 6 5y x x= + +

a. b. c. d.

y

x

y

x

y

x

y

x

14. 22 8 5y x x

a. b. c. d.

y

x

y

x

y

x

y

x

15. The area of a triangle is 12. The base is 2 more than the altitude. Find the base and the altitude. a. 6, 4 b. 3, 4 c. 6, 2 d. 8, 3


T-178

Final Exam Form A Name:

Date:

1. Simplify: [ ]3 4 2 3(2 3)x x x− − − 1. ____________________________

2. Evaluate for 4x = − and 2y = : 23 4x xy+ 2. ____________________________

3. Simplify: ( )42 53x y 3. ____________________________

4. Combine like terms: 3 2 2 2 3 2 23 4 2 3x y x y x y xy+ − − 4. ____________________________

5. Solve: ( )12 3

2x − = 5. ____________________________

6. Solve for b: 3 4 8a b b− = 6. ____________________________

7. Solve: ( ) ( )3 2 4 2 8x x− − + ≥ 7. ____________________________

8. Multiply: ( )23 2x y− 8. ____________________________

9. Factor completely: 22 50x − 9. ____________________________

10. Factor completely: 4 1x − 10. ____________________________

11. Combine: 2

3 4

2 5 2 15

x

x x x+

− + − 11. ____________________________

12. Simplify:

3 253

25

x

x

+

+ 12. ____________________________


T-179

Final Exam Form A (cont.) Name:

13. Solve: 2

3 4

6 36x x=

− − 13. ____________________________

14. Graph: 2 3 6x y+ = 14.

x

y

15. Write an equation of the line with slope 2

5− the passes through 15. ____________________________

the point ( 5,1)− .

16. Find the area of a circle with the radius 5. Use 3.14 as an 16. ____________________________ approximation for π .

17. Solve: 2 3 13

3 2

x y

x y

+ =+ =

17. ____________________________

18. Solve: 2

2 3 14

x y

x y

+ =− =

18. ____________________________

19. Simplify and combine: 80 45+ 19. ____________________________

20. Rationalize: 6 7

3 20. ____________________________

21. Multiply: ( )2

3 2 5+ 21. ____________________________


T-180

Final Exam Form A (cont.) Name:

22. Solve: 26 12 0x x− − = 22. ____________________________

23. Solve: 25 17 208x − = 23. ____________________________

24. Solve: 23 2 6 0x x− − = 24. ____________________________

25. Use the Pythagorean Theorem to find the missing side. 25. ____________________________ 3, 6a c= =

26. One half a number plus 1

3 of the same number is 15. Find the 26. ____________________________

number.

27. The area of a rectangle is 243. The length is three times the width. 27. ____________________________ Find the length and width.

28. A bicyclist rides for 3 hours to reach his destination. The return 28. ____________________________ trip took 4 hours because he was traveling 2 mph slower. How fast was he riding on the way to his destination? How fast was he riding returning from his destination?

29. The sum of two numbers is 64. The second number is three times 29. ____________________________ the first. Find the two numbers.

30. The area of a rectangle is 27. The length is three the width. Find 30. ____________________________ the length and the width.


T-181

Final Exam Form B Name:

Date:

1. Simplify: ( )3 2 2 3 4x x x− − +

a. 5 12x − b. 5 24x + c. 2 12x x− − d. 5 24x −

2. Evaluate for 4x = and 23 : 2 3y x y= − −

a. –1 b. –19 c. 35 d. 17

3. Simplify: ( ) ( )2 3 4 53 4x y x y

a. 6 812x y b. 8 1512x y− c. 6 8x y d. 8 15x y

4. Combine like terms: 2 23 4 14 4 2 8x x x x− + − + −

a. 2 6 14x x− − + b. 2 2 2x x− + c. 2 2 6x x− − + d. 23 2x− −

5. Solve: 1 1

2 42 3

x x+ = −

a. –6 b. –18 c. 6 d. –36

6. Solve for : 2 3 6y x y− =

a. 2

23

y x= + b. 2

63

y x= + c. 2

23

y x= − d. 2

63

y x= − +

7. Solve: ( )3 2 8x− ≤

a. 2

3x ≥ b.

2

3x ≤ c.

2

3x ≥ − d.

2

3x ≤ −

8. Multiply: ( )( )22 3 3 6 2x x x− − +

a. 3 26 21 22 6x x x− + − b. 3 26 3 14 6x x x− − −

c. 3 26 21 14 6x x x+ + − d. 3 26 3 22 6x x x+ + −

9. Factor completely: 26 11 7x x− −

a. ( )6 7 ( 1)x x− + b. ( )( )6 1 7x x+ − c. ( )( )3 7 2 1x x+ − d. ( )( )3 7 2 1x x− +

10. Factor completely: 225 49x −

a. ( )( )5 7 5 7x x− − b. ( )( )5 7 5 7x x− + c. ( )( )25 7 7x x− + d. ( )( )25 1 7x x− +

11. Combine: 2

3 6 7

2 36x xx x− +

+ −− −

a. ( )( )10 1

2 3

x

x x

−+ −

b. 1

3x

−−

c. ( )( )4

2 3x x+ − d.

2

2

10 16 60

6

x x

x x

− −− −


T-182

Final Exam Form B (cont.) Name:

12. Simplify:

2 435

6

x xx

x

+

+

a. 6

5x + b.

2

20

30x + c.

2

10

30x + d.

2

10

306

xx

x

+

13. Solve: 2

3 2 6 1

4 4 16

x

x x x

+= −− + −

a. 1

6− b.

20

7− c. –3 d.

18

7−

14. Graph: 3 2 4x y− =

a. b. c. d.

y

x

y

x

y

x

y

x


5− that passes through the point ( )2,6 .−

a. 2 5 26x y− = − b. 2 5 26x y+ = c. 5 2 2x y+ = d. 5 2 22x y− = −

16. Find the area of a circle with radius 6. Use 3.14 as an approximation of .π a. 37.68 b. 28.26 c. 113.04 d. 18.84

17. Solve: 2 5x y− =

a. ( )3,1 b. ( )0, 5− c. ( )2, 1− d. Dependent

18. Solve: 2 4 8

5 10 20

x y

x y

− =− =

a. ( )0, 2− b. ( )2, 1− c. 1

5, 2

d. Dependent

19. Simplify and combine: 2 42 27 3 3x x−

a. 23 3x b. 29 3 2 12x x x+ c. 2 23 6 4x x− + d. 25 3x

20. Multiply: ( )3 2 3 4 2−

a. 2 3 4 6− b. 6 4 6− c. –6 d. 6 12 3−


T-183

Final Exam Form B (cont.) Name:

21. Rationalize: 3 3

3 6

−+

a. 7 3

13

+ b.

20 9 3

33

−−

c. 7 3 3

11

− + d.

3 3

3

−−

22. Solve: 22 3 20 0x x− − =

a. 5

4,2

− b. 5

4,2

− c. 5, 2− d. 5, 2−

23. Solve: 23 5 0x x+ − =

a. 1 61

6

− ± b.

1 59

6

± c.

1 59

6

− ± d.

1 61

6

±

24. Solve: 23 4 71x − =

a. 5 b. 5± c. 3, 4 d. 75

3

±

25. Use the Pythagorean theorem to find the missing side. 6, 5a b= =

a. 3 5 b. 61 c. 11 d. 75

3

±

26. A pipe 60 feet long is cut into 2 pieces. The second piece is twice as long as the first. Find the length of each piece.

a. 30 feet, 30 feet b. 10 feet, 50 feet c. 20 feet, 40 feet d. 25 feet, 45 feet

27. A worker received a 5% raise this month. If the salary is $1575 this month, what was the salary last month? a. $1570 b. $1500 c. $1653.75 d. $75

28. Find the area of a triangle whose base is 12 and height is 5. a. 60 b. 7 c. 11 d. 30

29. John studied twice as long for a history exam as he did for an English exam. If he studied 6 hours in all, how long did he study for each exam?

a. 2 hr. – English, 4 hr. – history b. 1

12

hr. – English, 1

42

hr. – history

c. 3 hr. – English, 3 hr. – history d. 4 hr. – English, 2 hr. – history

30. The area of a rectangle is 20. The length is 3 less than twice the width. Find the length and the width. a. 2, 10 b. 4, 5 c. 8, 5 d. 6, 4


Chapter 0 Test Answers

T-184

Chapter 0 Pretest Form A

1. 2

7

2. 3

4

3. 1

212

4. 29

8

5. 18

6. 20

7. 36

8. 3

4

9. 19

24

10. 1

66

11. 1

115

12. 4

5

13. 9

14. 9

15. 7

118

16. 24.686

17. 101.626

18. 1.6

19. 33.65

20. 0.1875

21. 0.83

22. 71%

23. 0.15%

24. 0.0025

25. 0.64

26. 54

27. 25%

28. 5000

29. 20,000,000

30. 2000

31. 6000 cubic feet

32. 27,648 voters

Chapter 0 Pretest Form B

1. c

2. c

3. b

4. b

5. c

6. d

7. d

8. a

9. c

10. a

11. b

12. b

13. a

14. c

15. c

16. d

17. a

18. b

19. a

20. d

21. c

22. b

23. b

24. d

25. d

26. a

27. c

28. d

29. b

30. d

31. b

32. a

Chapter 0 Test Form A

1. 7

9

2. 1

169

3. 40

11

4. 51

170

5. 23

524

6. 7

130

7. 20

33

8. 1

122

9. 1

108

10. 45.722

11. 39.85

12. 1.3692

13. 35.18

14. 0.36

15. 860%

16. 0.98

17. 57

18. 37.5%

19. 2250

20. $67,830

Chapter 0 Test Form B

1. 1

2

2. 5

107

3. 38

7

4. 1

34

5. 13

1130

6. 1

512

7. 54

265

8. 9



T-185

9. 1

35

10. 9.874

11. 26.25

12. 0.01305

13. 347.9

14. 0.058

15. 0.23%

16. 0.09

17. 780

18. 25%

19. 14,000

20. 68,000

Chapter 0 Test Form C

1. 24

31

2. 1

76

3. 61

9

4. 19

720

5. 25

672

6. 3

240

7. 8

8. 4

15

9. 41

149

10. 8.164

11. 11.89

12. 0.175

13. 304

14. 15

15. 60%

16. 0.42

17. 162

18. 2000

19. 600,000

20. $20.28

Chapter 0 Test Form D

1. 3

5

2. 13

514

3. 58

5

4. 61

77

5. 13

524

6. 11

12

7. 2

163

8. 1

33

9. 9

317

10. 20.12

11. 2.992

12. 0.00252

13. 0.264

14. 2.8

15. 120%

16. 0.004

17. 294.4

18. 700

19. 20

20. $13.99

Chapter 0 Test Form E

1. b

2. c

3. b

4. a

5. b

6. b

7. a

8. b

9. c

10. a

11. c

12. c

13. c

14. d

15. a

16. c

17. d

18. d

19. c

20. a

Chapter 0 Test Form F

1. c

2. d

3. c

4. d

5. b

6. d

7. c

8. b

9. a

10. b

11. c

12. d

13. b

14. d

15. d

16. a

17. d

18. a

19. c

20. d



T-186


1. 14

2. 16

3. 48

4. 10

5. 64

6. 3

7. 2

7

8. 3

9. 64

10. 7.84

11. 8

27

12. 256

13. 4

14. 24

15. 29

16. 19

17. 3 2 26 8x y x y

18. 7 8x y

19. 29 10x y

20. 27 9x x

21. 12 50x

22. 29 41x xy

23. 6

24. 88

25. 54

26. 20 8x

27. 212 40x x


1. c

2. d

3. b

4. b

5. c

6. c

7. c

8. d

9. a

10. b

11. a

12. a

13. d

14. b

15. a

16. d

17. a

18. a

19. d

20. d

21. d

22. c

23. d

24. b

25. d

26. b

27. a


1. 11

2. 2.5

3. 36

4. 40

5. 12

6. 5

7. 25

8. 81

9. 6

10. 215 21 24xy y y

11. 4 4 3 6 2 710 20 15x y x y x y

12. 27

12a b

13. xy

14. 27 6 12x xy y

15. 10

16. 980

17. 0

18. 864 square units

19. 31.4 feet

20. 24 17x


1. 13

2. 4.2

3. 64

4. 240

5. 0.9

6. 7

7. 343

8. 2401

9. 11

10. 215 9 15x xy x

11. 5 5 4 8 3 1012 9 12x y x y x y

12. 211 7

4 6m n mn

13. 22 3x xy

14. 27 4 12x xy y

15. 60

16. 48

17. 28


19. 37.68 feet

20. 30


1. 4

2. 9.6

3. 210

4. 150

5. 2



T-187

6. 4

7. 121

8. 243

9. 39

10. 3 2 212 24 18x x y x

11. 6 3 6 6 4 82 4 5x y x y x y

12. 27 1

12 4a b ab

13. 226 8xy y

14. 218 20 42x xy y

15. 39

16. 50

17. 1


19. 43.96 feet

20. 32


1. 3

2. 9

3. 24

4. 1200

5. 250

6. 9

7. 125

8. 81

9. 14

10. 3 2 2 36 10 2x y x y xy

11. 7 3 6 7 4 86 9 9x y x y x y

12. 212 1

5 4a b ab

13. 24 30xy y

14. 214 12 6x xy y

15. 51

16. 21

17. 16

5


19. 29.83 feet

20. 50 4x


1. a

2. c

3. a

4. a

5. a

6. d

7. b

8. a

9. d

10. b

11. a

12. c

13. b

14. b

15. b

16. a

17. d

18. d

19. d

20. a


1. c

2. c

3. a

4. b

5. c

6. a

7. c

8. a

9. b

10. c

11. d

12. a

13. d

14. c

15. b

16. c

17. b

18. c

19. a

20. a



T-188

Chapter 2 Pretest Form A 1. 16

2. 72

3. 4

4. 5

5. 5

6. 4

7. 3

8. 4

9. 17

11

10. 4

11. 3 8x −

12. 11

13. 12

14. 7, 14, 10

15. 785cubic ft

16. 96 square in.

17. <

18. <

19. 4x

20. 1x

Chapter 2 Pretest Form B 1. c

2. c

3. a

4. a

5. b

6. a

7. c

8. b

9. d

10. c

11. b

12. b

13. c

14. d

15. b

16. b

17. a

18. b

19. a

20. c

Chapter 2 Test Form A 1. 2

2. 7

3. 48

4. 10

5. 9

6. 2

7. 4

8. 41

8

9. 9

10. 2

11. 50

12. 23

13. 63

14. 113.04 2m

15. 46°

16. 904.32 3m

17. <

18. >

19. 3x

20. 6x

Chapter 2 Test Form B 1. 7

2. 8

3. 45

4. 9

5. 1

6. 3

7. 1

8. 12

9. 34

10. 3

11. 10

12. 14

13. 11

14. 254.34 cm 2

15. 23

2324

in. 2

16. 14,130 m 3

17. <

18. <

19. 0x

20. 9x

Chapter 2 Test Form C 1. 7

2. 3

3. 50

4. 3

4

5. 6

6. 30

7. 16

3

8. 11

4

9. 4

10. 1.5

11. 132

12. 7

13. 248

14. 1017.36 cm 2

15. 16 in. 2

16. 147,705.6 in. 3

17. >

18. <

19. 1x

20. 4x

Chapter 2 Test Form D 1. 3

2. 6

3. 36

4. 1

3

5. 7

6. 16

15

7. 8

8. 54

13

9. 0

10. 6

11. 6



T-189

12. 12

13. 96

14. 35 cm

15. 2

643

°

16. 301.44 in. 3

17. <

18. <

19. 0x

20. 18x

Chapter 2 Test Form E 1. c

2. c

3. a

4. d

5. a

6. b

7. a

8. d

9. d

10. a

11. c

12. c

13. d

14. a

15. d

16. d

17. a

18. b

19. d

20. b

Chapter 2 Test Form F 1. c

2. d

3. c

4. a

5. b

6. d

7. b

8. a

9. b

10. b

11. d

12. a

13. d

14. b

15. c

16. b

17. a

18. b

19. b

20. d


1. 4

815

2. 1

24

3. 2

13

4. 5.508

5. 0.05

6. 64.8

7. 30

8. 6

9. 9

10. 5 12x

11. 0

12. 10

13. 11

14. 1

2

15. 4

16. 36

17. 49

18. 706.5 in.2

19. 12x

20. 8x

Chapters 0–2 Cumulative Test Form B 1. a

2. c

3. d

4. a

5. d

6. b

7. c

8. b

9. a

10. b

11. d

12. c

13. d

14. b

15. d

16. b

17. d

18. a

19. a

20. c



T-190

Chapter 3 Pretest Form A 1.

A

B

C

2. D(–2, –1)

E(0, 3)

F (4, –2)

3. 0

4.

5.

6. 9

8−

7. 2

5−

8. 4 6y x= −

9.

10. 3y x= +

11. 4

12. 4 7 20x y+ =

13. 3 22x y+ =

14.

15.

16. yes

17. yes

18. –10

19. 7

20. m = 2, y-int = 7

0,2

Chapter 3 Pretest Form B 1. b

2. b

3. d

4. c

5. a

6. d

7. c

8. a

9. c

10. a

11. b

12. d

13. b

14. b

15. a

16. b

17. a

18. c

19. a

20. d

Chapter 3 Test Form A 1.

A

B

C

2.

3.

4.

5. m = 4, y-int = (0, 6)

6. 5

16

7. 6 30x y− =

8. undefined

9. x = 6

10. x – y = 10



T-191

11.

12.

13. yes

14. yes

15.

16. 9

17. undefined

Chapter 3 Test Form B 1.

A

B

C

2.

3.

4.

5. m = 3

7− , y-int = (0, 2)

6. 1

4

7. 5x – y = 4

8. 0

9. y = 8

10. 13x – 5y = 100

11.

12.

13. no

14. yes

15.

16. –28

17. 14

Chapter 3 Test Form C 1.

C

A

B

2.

3.



T-192

4.

5. m = 8

15, y-int = (0, –3)

6. 7

15

7. 3x + 5y = –2

8. undefined

9. x = –5

10. x + 2y = 19

11.

12.

13. no

14. yes

15.

16. 9

17. 0

Chapter 3 Test Form D 1.

C

A

B

2.

3.

4.

5. m = 7

8, y-int =

150,

8−

6. 4

3

7. 8x – y = –17

8. m = 0

9. y = 4

10. x + 19y = 88

11.

12.

13. yes

14. yes

15.

16. 42

17. undefined


2. b

3. d

4. a

5. b

6. a

7. c

8. d

9. b

10. a

11. b

12. a

13. b

14. b

15. d

16. c

17. a



T-193


2. d

3. b

4. c

5. d

6. a

7. c

8. a

9. a

10. a

11. d

12. a

13. a

14. a

15. c

16. c

17. b



T-194

Chapter 4 Pretest Form A 1. (3, 2)

2. Inconsistent

3. (1, 4)

4. (2, 6)

5. (–2, 4)

6. (0, –2)

7. 1 10

,7 7

8. Dependent

9. 1 1

,2 3

10. 5

,04

11. $3 tapes, $5 CD’s

Chapter 4 Pretest Form B 1. a

2. d

3. b

4. c

5. a

6. d

7. c

8. d

9. b

10. b

11. d

Chapter 4 Test Form A 1. (1, 2)

2. (–2, 5)

3. (0, 4)

4. (–4, 3)

5. 1 3

,2 2

6. Inconsistent

7. (–2, –2)

8. (–6, –2)

9. 7 17

,4 4

10. (600, 400)

11. Inconsistent

12. (5, 6)

13. (7, 5)

14. length: 8, width: 4

Chapter 4 Test Form B 1. (3, 1)

2. (–4, 5)

3. (–2, 7)

4. (1, 4)

5. Inconsistent

6. (7, 4)

7. (–4, 6)

8. 1

1,3

9. (–3, 6)

10. Inconsistent

11. (500, 600)

12. (2, 5)

13. (4, 8)

14. length: 13, width: 4

Chapter 4 Test Form C 1. (1, 2)

2. (–3, 4)

3. (5, 6)

4. (–1, –5)

5. 2 6

,5 5

− −

6. Dependent

7. (8, –5)

8. 1 2

,2 3

9. 171 39

,35 7

10. (800, 500)

11. (9, 4)

12. Inconsistent

13. (8, 12)

14. 5000 of $30, 15,000 of $25


1. 7 29

,4 8

−

2. (5, 7)

3. (–4, –5)

4. (3, 6)

5. (–1, 0)

6. (12, 3)

7. 1

,32

8. Dependent

9. (–3, 5)

10. (4, 7)

11. (4, 2)

12. (–1, 3)

13. (1, 1)

14. (2, 5)

15. $6000 at 12%, $4000 at 5%

Chapter 4 Test Form E 1. a

2. c

3. b

4. a

5. c

6. d

7. b

8. a

9. d

10. b

11. d

12. b

13. c

14. b

15. c

Chapter 4 Test Form F 1. b

2. a

3. c

4. d

5. a

6. c

7. d

8. a

9. c

10. c

11. b

12. d

13. b

14. a

15. b



T-195


1. 9

20

2. –15

3. 1

37

4. 216 2x x− − 5. –1128 6. 6

7. 39

2−

8. 6x ≤

9. ( )1,2−

10. ( )2, 2−

11. ∅

12. ( )1, 7−

13. 7

6

14. 2

, 23

m b= − =

15. 15

16.

17. 6, 10

Chapters 0–4 Cumulative Test Form B 1. b

2. b

3. a

4. c

5. b

6. d

7. d

8. a

9. b

10. d

11. a

12. c

13. b

14. c

15. a

16. c

17. d



T-196


1. 167

2. 716x

3. 3 718a b

4. 6q

5. 3

2

3y

x

6. 49c

ab

7. 36x

8. 8 4256x y

9. 16 4

4

81a b

c

10. 2

3

x

11. 2

5 3

3b

a c

12. 1

8

13. 47.26 10

14. 0.00194

15. 2 2 5x x

16. 2x x

17. 220 15a ab

18. 4 3 26 12 3x x x

19. 7 4 6 66 4x y x y

20. 3 2 26 9 12x x y xy

21. 2 16x

22. 2 26 12x xy y

23. 3 2 2 312 6 8 4x x y xy y

24. 2 29 60 100m mn n

25. 2 29 30 25a b ab

26. 3 26 12 5x x x

27. 3 26 13 10 24x x x

28. 3 22 6 1x x

29. 2 2 3x x


1. b

2. b

3. d

4. b

5. c

6. c

7. a

8. d

9. a

10. c

11. d

12. c

13. a

14. b

15. d

16. a

17. b

18. a

19. a

20. c

21. b

22. c

23. b

24. d

25. a

26. d

27. b

28. a

29. c


1. 1311

2. 28

3. 122

4. 10 315x y

5. 45y

6. 12 21 627x y z

7. 25 15

45 30

a b

c d

8. 2 85x y

9. 1

27

10. 2

4 52

y

x z

11. 4 3

72

y z

x

12. 111.26 10

13. 43.5 10

14. 121.6965 10

15. 2 3x

16. 23 11x x

17. 8 6 7 8 4 74 8 6x y x y x y

18. 23 3 6x x

19. 212 11 56x x

20. 210 27 18x x

21. 2169 130 25x x

22. 3 3 2 2 510 6 15 9x xy x y y

23. 3 221 26 25x x

24. 4 27 2 1x x

25. 2 162 10

2x x

x



T-197


1. 127

2. 69

3. 64

4. 5 1540x y

5. 5 77x y

6. 15 9 24125x y z

7. 24 32

8 4

a b

c d

8. 6

2

4x

y

9. 1

25

10. 4

2 3

4z

x y

11. 6

2 4

3z

x y

12. 74.5 10

13. 2, 450,000

14. 103.034 10

15. 2x x

16. 24 14x x

17. 8 5 7 4 5 415 9 6x y x y x y

18. 28 20 16x x

19. 212 19 21x x

20. 218 33 40x x

21. 29 6 1x x

22. 8 5 3 2 315 9 10 6x x y x y y

23. 3 28 6 32 15x x x

24. 6 26 2x x

25. 2 12 4

7x x

x


1. 66

2. 99

3. 122

4. 8 1412x y

5. 7xy

6. 12 16 481x y z

7. 18 12

15 9

a b

c d

8. 25x

9. 4

1 1

24017

10. 6

4 3

9y

x z

11. 5 6 2

9

x y z

12. 71.235 10

13. 0.000000632

14. 92.325 10

15. 23 12 14x x

16. 2 14x

17. 5 7 4 6 3 78 6 8x y x y x y

18. 28 5 6x x

19. 215 43 8x x

20. 22 7 15x x

21. 29 48 64x x

22. 2 2 312 9 8 6x xy xy y

23. 3 26 5 36 35x x x

24. 23 9 1x x

25. 2 12 2 3

1x x

x


1. 94

2. 67

3. 182

4. 9 528x y

5. 4 33x y

6. 6 9 158x y z

7. 15 25

10 5

a b

c d

8. 3

5

2y

9. 1

256

10. 2 7

6y

x z

11. 2 3

3

7 y z

x

12. 65.004 10

13. 3,890,000,000

14. 71.4742 10

15. 22 11 2x x

16. 28 7x x

17. 5 6 4 7 2 814 14 35x y x y x y

18. 23 6 6x x

19. 221 10x x

20. 214 75 54x x

21. 24 28 49x x

22. 2 29 4x y

23. 3 24 27 13 30x x x

24. 25 2 6x x

25. 24 2 7x x



T-198


1. d

2. c

3. b

4. d

5. a

6. b

7. b

8. b

9. a

10. d

11. a

12. b

13. c

14. b

15. c

16. a

17. b

18. c

19. d

20. d

21. a

22. a

23. d

24. a

25. b


1. a

2. b

3. d

4. a

5. c

6. b

7. b

8. a

9. c

10. b

11. a

12. c

13. c

14. d

15. c

16. b

17. a

18. b

19. d

20. c

21. a

22. a

23. d

24. a

25. c



T-199


1. ( )2 38 2 1x y xy +

2. ( )( )2 5 3 1x x− −

3. ( )3 3 2 25 25 5x y x xy y− +

4. ( )( )2 5 4x a− +

5. ( )( )4 2a x− +

6. ( )( )2 23 4 4 5x x− +

7. ( ) ( )5 6x x+ +

8. ( )( )5 7x x− −

9. ( )( )5 3x y x y− +

10. ( )( )2 5 8x x− +

11. ( )( )3 6 9x x+ +

12. ( )( )3 5 4 9x x− +

13. ( )( )6 5 4x x+ −

14. ( )( )4 2 3 1x x− +

15. ( )( )5 8 5 8x x− +

16. ( )23 7x −

17. ( )25 3x +

18. ( ) ( )2 3 4x x x+ +

19. ( )( )2 2 6 1 2 3x y x x− +

20. prime

21. 7, –5

22. 5

, 42

− −

23. 8, –8

24. –4, 5

25. 5, 10


2. a

3. a

4. d

5. b

6. c

7. c

8. b

9. d

10. c

11. b

12. d

13. a

14. d

15. a

16. c

17. a

18. b

19. c

20. d

21. d

22. a

23. b

24. a

25. a


1. ( )( )15 1x x+ +

2. ( )( )8 5 8 5x x− +

3. ( )( )3 5 2 3x x+ +

4. ( )22 3x x +

5. ( )22 3a b−

6. ( )( )2 3 4 5x y a b− −

7. ( )( )4 2 5 3 4x x x+ −

8. ( )( )5 6 2a a+ −

9. ( )( )( )24 4 16x x x− + +

10. ( )( )7 5 3 5x y x y− −

11. prime

12. ( )37 3 5x y x −

13. prime

14. ( )24 5x y+

15. ( )( )( )22 1 2 1 4 1x x x− + +

16. ( ) ( )9 9x x− +

17. ( )( )5 1 2x x+ −

18. ( )( )( )5 2 1 2 1a b x x+ − +

19. ( )( )3 2 4 5x x− +

20. prime

21. 5, –6

22. 5 7

,3 2

−

23. 7

, 53

−

24. 5 5

,2 2

−

25. 5, 7


1. ( )2 33 2 3 5x y x y+ −

2. ( )( )8 3 8 3x y x y− +

3. ( )25 7x +

4. ( )( )5 3 2 3x x+ +

5. ( )( )6 1 4x x+ +

6. ( )( )3 4 2 5x y a b− +

7. ( )( )3 3 5 3 2x x x− +

8. ( )( )2 3cd a b a b− +

9. ( )( )4 3 4 3 4x x− +

10. ( )( )4 4 3x y x y− −

11. ( )5 3 4x x +

12. prime

13. ( )22 5x +

14. ( )( )8 3 8 3x x− +

15. prime

16. ( )( )( )( )

4 21 1 1

1

x x x

x

+ + −

+

17. ( )( )5 4x y+ +

18. ( )( )( )2 3 3 3x w w+ − +

19. ( )( )5 5 2x x− +

20. ( ) ( )3 4 6 1x x x+ +

21. –7, 8

22. 5 7

,2 2

−

23. 5

, 23

− −

24. –6, 6

25. 8, 15



T-200


1. ( )( )2 3 4 9x x+ +

2. ( )( )5 2 4 3x x− +

3. ( )( )9 7 9 7x x− +

4. ( )24 7a b−

5. ( )4 3 5 1x x y− +

6. ( )( )5 3 2a b x+ −

7. ( )( )2 3 5 4 3x x x− +

8. ( )( )5 7 2 3a b a b+ −

9. ( )( )10 4 4x y x y− +

10. ( )23 2x y−

11. ( )6 3 5x x −

12. prime

13. ( )22 5x y+

14. prime

15. ( ) ( )9 9x x− +

16. ( )( )( )2 2 42 2 4x x x− + +

17. ( ) ( )3 7 10 5x x− +

18. ( ) ( ) ( )5 5 1x x ab− + +

19. ( ) ( )2 2 5 1x x x− +

20. ( )( )4 5 5x y x y− +

21. 3, –5

22. 7

, 43

−

23. 2

5

24. 6, –6

25. 7, 9


1. ( )( )7 6x x− +

2. ( )( )3 7 4 1x x− +

3. ( )( )3 5x x+ +

4. ( )23 5a b+

5. ( )( )3 4 2 5x y x y+ −

6. prime

7. ( ) ( )22 3 1 4 1x x x− +

8. ( )( )3 5 2 5xy xy y+ −

9. prime

10. ( ) ( )3 5 2 3x y x y− +

11. prime

12. ( )37 3 4x x −

13. prime

14. ( )( )7 8 7 5x x+ +

15. ( ) ( )10 3 10 3x x− +

16. ( )( )( )2 9 3 3x x x+ − +

17. ( ) ( )5 3 5x a− +

18. ( )( )( )( )

2 2 3

3

x x y

y

− + −

+

19. ( )23 3 1x x x+ +

20. ( )( )2 5 3 10x x− −

21. 7, 8

22. 5 3

,3 2

−

23. 7, –4

24. 5, –5

25. 6, 7

Chapter 6 Test Form E 1. b

2. c

3. c

4. c

5. d

6. b

7. b

8. a

9. d

10. c

11. c

12. a

13. c

14. b

15. b

16. c

17. a

18. c

19. a

20. c

21. a

22. d

23. a

24. c

25. a


2. a

3. a

4. b

5. a

6. d

7. a

8. b

9. b

10. b

11. c

12. d

13. a

14. a

15. c

16. d

17. d

18. b

19. c

20. a

21. d

22. d

23. d

24. d

25. c

Chapters 0–6 Cumulative Test Form A 1. –17

2. 5 610x y

3. 9

4. 26 13 28x x− −



T-201

5. 3 2 10x x x− − +

6. 3x ≤ −

7. 3

8. 25

8

9. 3x – 6

10. y = 3x – 4

11. 4

3−

12. ∅

13. ( )( )3 2 4 5x x− +

14. ( )( )6 7 4x x− +

15. prime

16. ( ) ( )5 1 5 1x x− +

17. prime

18. ( )( )4 2 3a x y+ −

19. ( )( )( )2 2 4x x a b− + +

20. ( )( )7 1x x− −

21. 4, 2

22. 7

, 13

−

23. –5, –6

24. 4, –4

25. 5, 4

Chapters 0–6 Cumulative Test Form B 1. a

2. a

3. b

4. d

5. c

6. c

7. a

8. a

9. b

10. b

11. c

12. a

13. d

14. c

15. c

16. b

17. a

18. b

19. c

20. a

21. b

22. a

23. b

24. c

25. d



T-202

Chapter 7 Pretest Form A 1. 3−

2. 2

5

x

x

−+

3. 6

x

4. ( )

( )2 1

6 2

xy x

x y

++

5. 2

2

x

x

−+

6. 5

3

x

x

−+

7. 1

5x +

8. 1

9. ( )( )4

3 2 1

x

x x

− +− +

10. 1

2 3x−

−

11. ( )2

2 13

3

x

x

− +−

12. 2

6 4

x

x

−−

13. 3

2

x

x

+−

14. 2

5

15. No solution

16. 21

11

17. 3

18. $1.00

Chapter 7 Pretest Form B 1. d

2. a

3. c

4. b

5. b

6. d

7. a

8. b

9. b

10. c

11. a

12. b

13. c

14. a

15. c

16. a

17. c

18. b


1. ( )( )

5

2 3

a b

a a b

−−

2. ( )

( ) ( )

26 3 5

2 5 5

x x x

x x

− −

− −

3. 22

3

x

x +

4. ( )

( ) ( )

22 5

2 5 5

a

a a

−+ −

5. 1

6. ( )( )( )8 29

3 4 3

x

x x x

+− + +

7. 2

2

2 12 3

6

x x

x

+ −

8. ( )( )2 9 15

6 5

x x

x x

− + −− −

9. 24 3

10 3

x

x

−−

10. 1

11. 3 4

5 2

x y

x y

+−

12. ( )( )2

5 2

x

x x

−− +

13. 1

2

14. 5

7

15. No solution

16. 3−

17. 12

18. 2

19. $68

20. 52.5 feet


1. 4

3x

2. 22

3

x

x +

3. 1

4. ( )1

2 4y x y+

5. 3

3 5

a

a

−−

6. ( ) ( )2

9 3

2 3

x

x x

−− +

7. 10

8

x

y

−

8. ( )( )2 10 12

6 3

x x

x x

− + −− −

9. ( )( )5 4

2 6

x y

x y

−−

10. 1

11. ( )3 5

2 6 5

x

x

−−

12. ( )2

5 39

7

x

x

−−

13. 12

17−

14. 1

15. 2−

16. 1

17. 4

18. 15

8

19. $99

20. 60 miles



T-203


1. 4

3

x

x

−+

2. 23

2 5

x y

x −

3. 5

12

4. 3

x−

5. 1

6. ( )( )( )8

5 4 6

x

x x x

++ − +

7. 10

4

x

y

−

8. ( )( )2 10 10

4 5

x x

x x

− + −− −

9. 24 2

16

x

x

−+

10. ( )2 2 3

1

x

x

++

11. 2

4 5

x y

x y

+−

12. ( )2

3 19

5

x

x

−−

13. 3

4−

14. 24

15. No solution

16. 7

17. 24

18. 15

19. $69

20. 37.5 miles


1. 3

5a

2. 24

3 2

x

x y−

3. x

4. 3

5

x

x

−+

5. ( )( )

( )2

2 5 3 4

3

a a

a

− +

−

6. ( ) ( )7 2

2 2

x

x x

−− +

7. 10 15

6

x

x

+

8. ( )( )2 10

2 5

x

x x

− +− +

9. 2

3 2

3 2

x

x

−+

10. 7 6

3 1

x

x

−−

11. 1

5x −

12. ( )( )3 2

5 2

x

x x

+− +

13. 4

3

14. 22

13

15. No solution

16. 1−

17. 4

18. No solution

19. $117

20. $360 Chapter 7 Test Form E 1. d

2. a

3. d

4. b

5. c

6. a

7. b

8. d

9. b

10. a

11. c

12. d

13. b

14. d

15. d

16. d

17. a

18. c

19. c

20. a Chapter 7 Test Form F 1. b

2. a

3. c

4. b

5. d

6. c

7. c

8. b

9. d

10. c

11. d

12. c

13. a

14. d

15. b

16. c

17. b

18. a

19. a

20. b



T-204

Chapter 8 Pretest Form A 1. 10

2. 4

5

3. 11

4. –7

5. Not a real number

6. 6x

7. 4 25x y

8. 5 2

9. 2x x

10. 46x x

11. 42 6a b

12. 6 3

13. 3 2

14. 11 2

15. 5 6 3 2−

16. 11 5

17. 30

18. 12 6

19. 2 3 3 10−

20. 49 12 5+

21. 13

22. 92 16 15−

23. 4

3 3

x

24. 2

2

25. 6

3

26. 11 3 15

7

+

27. 61

28. 6

29. 10

30. 22

31. 3

32. 1


2. b

3. a

4. c

5. d

6. a

7. b

8. b

9. d

10. c

11. d

12. c

13. c

14. d

15. a

16. c

17. b

18. b

19. a

20. c

21. d

22. c

23. a

24. b

25. b

26. a

27. b

28. c

29. d

30. a

31. d

32. a

Chapter 8 Test Form A 1. 5

2. 4

5

3. 45x y

4. 23 3x xy

5. 7 2

6. 9 3a

7. 3 2x

8. 9 3 2−

9. 22 12 2+

10. 6 2 3−

11. 3

3

12. 6

13. 3 2 9

7

+−

14. 11 6 26

5

− or

26 11 6

5

−−

15. 11.62

16. 4 5

17. 2 6

18. 8

19. 7

20. 24

Chapter 8 Test Form B 1. 8

2. 3

2

3. 45x y

4. 2 24 2x z xy

5. 5 6

6. 0

7. 3 2a

8. 24 18 2+

9. 28 16 3+

10. 17 3− −

11. 6

3

12. 15

5

13. 2 4

7

+−

14. 3 2−

15. 13.96

16. 4 13

17. 39

18. 9

19. 1, 3

20. 24



T-205

Chapter 8 Test Form C 1. 6

2. 4

3

3. 35xy

4. 5 2x xy

5. 7 3

6. 5 5 5 2a a+

7. 6 2x x

8. 6 8 6−

9. 53 20 7+

10. 7 15+

11. 10

4

12. 5 6

6

13. 4 2 12

7

+−

14. 26 19 2

2

+−

15. 14.66

16. 10

17. 9

18. 10

19. 12

20. 7

Chapter 8 Test Form D 1. 7

2. 9

8

3. 310x y

4. 42 14x y y

5. 9 5

6. 8 6 3+

7. 6x

8. 5 3 15−

9. 37 20 3+

10. 6 3 7− +

11. 5

5

12. 15

3

13. 1 2− −

14. 38 23 3

11

−

15. 6.16

16. 6 5

17. 47

18. 9

19. 4

20. 3


2. b

3. c

4. a

5. d

6. a

7. b

8. d

9. c

10. a

11. c

12. d

13. b

14. b

15. c

16. c

17. a

18. b

19. c

20. d

Chapter 8 Test Form F 1. a

2. c

3. d

4. a

5. c

6. b

7. a

8. b

9. c

10. c

11. b

12. d

13. a

14. b

15. a

16. c

17. c

18. b

19. b

20. a

Chapters 0–8 Cumulative Test Form A 1. 103.2

2. –77

3. ( )( )

2 7

2 2

x

x x

++ −

4. 1

5. 24 12 9x x− +

6. 3

3,2

−

7. 3

5

8. 6

9. ( )( )2 5 2 5x x− +

10. ( )( )3 5 6 5x x− +

11. 4 12

,5 5

− −

12. 3, 9

13. 3 27x y

14. 3 3

15. 11 6 2−

16. 2 2 2− +

17. 14 7 15− +

18. –7

19. 5

20. 4



T-206

Chapters 0–8 Cumulative Test Form B 1. b

2. d

3. c

4. d

5. c

6. a

7. c

8. c

9. c

10. a

11. b

12. c

13. a

14. c

15. d

16. a

17. b

18. a

19. b

20. c



T-207

Chapter 9 Pretest Form A 1. –2, 7

2. 3, 5

6−

3. 1 5

,3 3

−

4. 8, 5

6−

5. 17±

6. 5±

7. 3 2 2− ±

8. 4 10− ±

9. 2 14

2

− ±

10. No real solution

11. 2 19

3

− ±

12. 4 6

2

±

13. y

x

14. y

x

15. 5, 7

Chapter 9 Pretest Form B 1. b

2. a

3. b

4. c

5. d

6. d

7. a

8. c

9. a

10. b

11. d

12. c

13. d

14. b

15. d

Chapter 9 Test Form A 1. 5, -8

2. 5

,3

-2

3. 5 21

2

− ±

4. No real solution

5. 2±

6. 19±

7. 7

, 23

−

8. 1

5

9. 7 1

,3 4

−

10. 5, -4

11. 1 6− ±

12. 5 97

4

±

13. y

x

14. y

x

15. 10, 12


1. 1

7,2

−

2. 1 1

,3 2

−

3. 2 6− ±

4. 10±

5. 5±

6. 7, -9

7. 7

, 13

−

8. No real solutions

9. 4

, 25

−

10. 1 19

3

±

11. 3

, 14

12. 7 97

8

− ±

13. y

x

14. y

x

15. 7, 8


1. 7, 3

2−

2. 5 13

6

− ±

3. 4

, 35

−



T-208

4. 7

, 36

5. 4±

6. 3 3±

7. 4

7,5

−

8. 2 19

3

±

9. 1

, 44

−


11. 1 1

,2 4

−

12. 5

2

13. y

x

14. y

x

15. 6, 10


1. 4 3

,3 2

−

2. 3

7,4

−

3. 5 109

6

− ±

4. 1±

5. 3 2±

6. 5

, 43

−

7. 5

7,8


9. 3

5−

10. 5, –2

11. 1 97

6

− ±

12. 4

, 53

−

13. y

x

14. y

x

15. 4, 11


2. a

3. b

4. c

5. d

6. a

7. b

8. b

9. c

10. a

11. b

12. a

13. c

14. c

15. a

Chapter 9 Test Form F 1. b

2. a

3. c

4. c

5. b

6. a

7. d

8. b

9. b

10. c

11. a

12. a

13. d

14. c

15. a


Final Exam Answers

T-209

Final Exam Form A 1. 19 36x −

2. 16

3. 8 2081x y

4. 3 2 2 2 24 3x y x y xy+ −

5. 8

6. 4

a

7. 22x ≤ −

8. 2 29 12 4x xy y− +

9. ( )( )2 5 5x x− +

10. ( ) ( ) ( )21 1 1x x x− + +

11. ( )( )23 9 4

2 5 3

x x

x x

+ +− +

12. 2 15

10 3

x

x

++

13. 14

3−

14. y

x

15. 2

15

y x= − −

16. 78.5

17. (–1, 5)

18. (4, –2)

19. 7 5

20. 2 21

21. 23 6 10+

22. 3 4

,2 3

−

23. 3 5±

24. 1 19

3

+

25. 3 3

26. 18

27. 9, 27

28. 8 mph going 6 mph returning

29. 16, 48

30. 3, 9

Final Exam Form B 1. b

2. b

3. a

4. c

5. d

6. c

7. c

8. a

9. d

10. b

11. a

12. b

13. c

14. d

15. b

16. c

17. a

18. d

19. a

20. b

21. c

22. b

23. a

24. b

25. d

26. c

27. b

28. d

29. a

30. b




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Chapter 0 Pretest Form A Date - WordPress.com · 2015. 10. 26. · Estimate the number of people at a basketball game if the stadium holds 20,300 people and 62% of the tickets were