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Pre-Algebra Practice Exam Semester One Remember! … · Pre-Algebra Practice Exam Semester One Remember! Take a deep breath and relax while you go through the problems Do not assume

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Page 1: Pre-Algebra Practice Exam Semester One Remember! … · Pre-Algebra Practice Exam Semester One Remember! Take a deep breath and relax while you go through the problems Do not assume

Pre-Algebra Practice Exam Semester One

Remember! Take a deep breath and relax while you go through the problems

Do not assume on the exam that if the answer is there it is automatically correct, check your work.

Don’t forget PEMDAS

Watch those darn negative signs!

The procedure has not changed just because the problem is in the form of a story problem. Create

an equation by breaking the problem into the bits and pieces.

For that matter, the procedure hasn’t changed just because I use a fraction in an algebraic

expression. I still multiply through and I still isolate the variable.

Use the Glencoe Online Resources for practice in taking multiple choice tests. Log on to

http://glencoe.mcgraw-hill.com/sites/0078885159/ and click on the Chapter Tests and Self-Check

Quizzes. Personal Tutor and Vocabulary Review are also great helps.

When reviewing problems from the textbook, the Hotmath Homework Help link found in the

Glencoe Online Resources is another great help. Here you will find step-by-step solutions, with

hints, to ALL odd-numbered problems in the text.

Note!! A (***) indicates a repeating decimal

1. Write a numerical expression for the verbal phrase; the total number of gumballs if Joe has

nineteen and Sue has thirteen. 1.1

19 + 13

2. Evaluate each expression: 1.1

4[(12 – 4) + 2]

40

3. 2 x 9 ÷ 3

6

4. 15 – 5

6 – 4

5

5. 16 ÷ 4 + 15

19

6. Translate into an algebraic expression; 1.2

1) the quotient of a number and three. n ÷ 3

2) the difference of six and a number 6 - n

3) 12 less than a number n – 12

4) a number less three n – 3

Page 2: Pre-Algebra Practice Exam Semester One Remember! … · Pre-Algebra Practice Exam Semester One Remember! Take a deep breath and relax while you go through the problems Do not assume

7. Amusement park Gold Reef City charges $25.00 for the first ticket and $7.00 for each additional

ticket. Write an expression used to calculate the total price to enter the park. Then calculate the

total for 13 people to have fun at the park. 1.2

25 + 7t 13 people would cost $109.00

8. Find each sum or difference and write in simplest form. 3.6

2

1

10

9

16

5

4

3

6

3

15

7

12

3

15

4

Solutions:

5

5

2

1

10

9

16

5

4

4

4

3

5

5

6

3

2

2

15

7

5

5

12

3

4

4

15

4

10

14

10

5

10

9

16

5

16

12

30

15

30

14

60

15

60

16

or 5

21

10

41

16

7

30

29

60

31

9. 10

72

2

17

12

15

16

311

6

1

14

11

Solutions:

5

44

48

56

21

13

10. Express the following ordered pairs as a table & give the domain and range 1.4

{(1,4), (2,8), (3,12), (4,16)}

X Y D = {1, 2, 3, 4} R = {4, 8, 12, 16}

1 4

2 8

3 12

4 16

11. If one roll of quarters contains 40 quarters, then write an equation that can be used to find the

number of quarters, q, in any number of rolls, r, of quarters.

r = 40q

12. Simplify these algebraic expressions: 4.4

7y = 56 -3r = 12 n/-2 = -30

Page 3: Pre-Algebra Practice Exam Semester One Remember! … · Pre-Algebra Practice Exam Semester One Remember! Take a deep breath and relax while you go through the problems Do not assume

7

56

7

7

y

3

12

3

3

r )2)(30(

2)2(

n

y = 8 r = -4 n = 60

08

n 23121 p

)8)(0(8

)8(

n

21

231

21

21

p

n = 0 p = 11

13. Number Sense: What type of relationship is shown on a graph that shows the following values?

1.6

As x increases, y decreases : negative

As x decreases, y decreases : positive

14. Solve using the distributive property. 4.3

Sebastien had a bake sale to raise money for the French Club and made $16.25. If he sold 25 rice

krispie bars for 25 cents and 20 muffins, how much did he charge for the muffins?

(25)(.25) + 20x = $16.25

$6.25 + 20x = $16.25

-6.25 -6.25

20x = $10.00

÷ 20 ÷ 20

x = $.50

15. Write an integer for each situation 2.1

4 inches less than normal -4

14 degrees above normal + 14

a loss of 15 yards - 15

16. Select the appropriate symbol to make the statements true, <, >, = 2.1

8 3 -3 0 -7 -3 -6 -6

Page 4: Pre-Algebra Practice Exam Semester One Remember! … · Pre-Algebra Practice Exam Semester One Remember! Take a deep breath and relax while you go through the problems Do not assume

< < < =

17. Evaluate each expression 2.1

| -5 | | 12 | | -4 | - | -10 | | 20 | - | 10 | if a = 4, b = 3, c = -3 | ac | - | b |

5 12 -6 10 |(4) (-3)| - 3, 12-3 = 9

18. Find each product. Write in simplest form. 3.3

4

1

4

3

12

3

4

2

100

320

28

10

15

14

Solutions:

16

3

8

1

48

6

10

6

100

60

3

1

420

140

19.

q

p 1

4

2

3

9 su

st

24

12

xx

Solutions:

q

p

4

us

t

us

st

39

32

xx

x

2

1

4

22

20. Evaluate each expression if a= -2 ½, b= 3

13 , c = 2 ¾. Write the product in simplest form.

ab b

4

14 abc

9

11

Solutions:

3

18

6

28

6

50

3

10

2

5

3

13

2

12

6

114

12

214

12

170

3

10

4

17

3

13

4

14

54

2525

216

10025

216

5500

12

110

18

50

4

11

3

10

2

5

9

10

4

32

3

13

2

12

9

11

21. Evaluate each expression if a = 9, b = 4, c = 11 : 1.2

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2c – 5 17

ab 6

6

45 - bc 3

4b + 3c – 5a 4

22. Find the sum 2.2

-4 + (-4) = 5 + (-4) = -34 + 17 = -10 + 8 + 10 =

-8 -1 -17 8

23. Use the distributive property to write each expression as an equivalent expression. Then

evaluate. 4.1

4(10 + 3) (-10 + 7) 3 (-8)(70 – 3) (1 -75) -2

4(10) + 4(3) -10(3) + 7 (3) -8(70) – (3)(-8) 1(-2) – 75 (-2)

40 + 12 = 52 -30 + 21 = -9 -560 – (-24) (-2) – (-150)

-560 + 24 = - 536 -2 + 150 = 148

24. -8 (u – 2) (b – 1) -4 50(x + 1) -18 (-r – 5)

-8u – (-16) -4b – (-4) 50x +50 -18r – (-18)(5)

-8u + 16 -4b + 4 -18r + 90

25. Find the difference 2.3

-25 – (-30) -10 – (5) -22 – 33 8 – (-3)

5 -15 -55 11

26. if a = 6, b = 3, c = -1

a – 9 c – b b – a – c c – b + a

6 – 9 = -3 -1 – 3 = -4 3 – 6 – (-1) = -2 -1 – 3 + 6 = 2

Page 6: Pre-Algebra Practice Exam Semester One Remember! … · Pre-Algebra Practice Exam Semester One Remember! Take a deep breath and relax while you go through the problems Do not assume

27. Find each product 2.4

0 (-5) -1 ( -40) -8 (-2)(-1) (- 4)(-6)

0 40 -16 24

28. (-5) (9v) (-27y) (-z) 29g (2)(-2)(0)(-3) (-20m)(- 2)(-3n)

-45v 27yz 0 -120mn

29. Name the property shown by the following statements; 1.3

56 + 6 = 6 + 56 Commutative Property of Addition

(x + 4) + y = x + (4 + y) Associative Property of Addition

(1) (mp) = mp Multiplicative Identity

(7n) (0) = 0 Multiplicative Property of Zero

30. Find each quotient and write in simplest form. 3.4

10

1

2

1

9

3

8

3

18

170

27

4

9

23

5 1 1/8 0 -21 ¾

31. 9

1

3

2x

a

bab

8

r

t

r

st 43

yy

x 42

6x a²/8 3s/4 -x/2

32. Evaluate each expression 2.5

If x = -4 and y = -8

6x ÷ y -4x 2x 2xy

2 y ( y)

6(- 4) ÷ -8 = 3 -4 (- 4) = 8 2(- 4) = 1 2(-4)(-8) = -8

2 -8 -8

33. Write an expression for each problem and then solve

Page 7: Pre-Algebra Practice Exam Semester One Remember! … · Pre-Algebra Practice Exam Semester One Remember! Take a deep breath and relax while you go through the problems Do not assume

Sebastien wants to buy an Ipod for $205.00 and he makes $5.00/week in allowance. If he already

has $45.00, how long will it take him to save up the money to buy the Ipod?

5x + 45 = $205.00 let x = number of weeks

5x = $160.00

x = 32 weeks

34. The temperature dropped 24 degrees over the course of 6 hours. What was the “mean” hourly

drop?

24 ÷ 6 = an average of 4 degrees per hour

35. What is the mean number of video games the kids have?

Sebastien had 16 video games

Vanessa had 21 video games 16 + 21 + 24 + 20 = 20.25 games

Zachary had 24 video games

Liesel had 20 video games

36. Write each fraction as a decimal 3.1

3 1 9 - 5 7 1 - 2

5 8 11 12 9 3 3

0.6 0.125 0.81 -0.416 0.7 0.3 - 0.

37. Select the appropriate symbol to make the statements true, <, >, = 3.1

- 13 -6.4 6 5 -0.75 - 15 - 3 - 0.40

2 7 6 20 8

< > = >

38. Arrange the following in order of least to greatest. 3.1

- 8 - 8 - 0.80*** -8 - 0.80 - 8

9 , 10, 9, 10

39. List which of the following numbers ( -3, -1.60, 0, 45, ¾, 2.56***, 777) are 3.2

A natural number: 45, 777

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A whole number: 0, 45, 777

An Integer: -3, 0, 45, 777

A rational number: -3, -1.60, 0, 45, ¾, 2.56***, 777

40. What would be an example of an irrational number? Pi, 1.313313331…

41. Solve each equation and check your solution: 5.2

14m = 18 + 12m -2h -16 =3h – 6 2y + 7 = y

14m = 18 + 12m -2h -16 =3h – 6 2y + 7 = y

-12m = -12m +2h = +2h -7 = y -7

2m = 18 -16 = 5h -6 2y = y -7

÷2 = ÷2 +6 = +6 -y = -y

m = 9 -10 = 5h y = -7

÷ 5 = ÷ 5

2 = h

h = -2

14(9) = 18 + 12(9) -2(-2) -16 = {3(-2)} -6 2 (-7) + 7 =-7

126 = 18 + 108 4 – 16 = - 6 – (6) -14 + 7 = -7

126 = 126 -12 = -12 -7 = -7

42. Translate the verbal expression into an algebraic expression, then simplify: 1.3

The sum of three times a number and three added to ten times a number.

3n + 3 + 10n 13n + 3

The product of eight and four times a number multiplied by six.

6(8 x 4n) 6(32n) = 192n

43. Copy and complete a function table. Then state the domain and range of the function. 1.5

Each ticket to the Spring Musical costs $8.00

Number of Tickets Total Cost ($)

Input Output

answers: 32

56

72

96

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D: {4, 7, 9, 12} R: {32, 56, 72, 96}

44. Write each number as a fraction. 3.2

-7 ½ 3¼ 2¾

-15/2 13/4 11/4

45. Find each quotient 2.5

-21 ÷ 21 80 ÷ (- 4) -64 ÷ (- 8) -49 ÷ 7

-1 -20 8 - 7

46. -100 90 -72 215

-5 -6 9 5

20 -15 -8 43

47. Find the multiplicative inverse of each number: 3.4

- 6/7 10/20 -33 4 ¼

- 7/6 or – 1 1/6 20/10 or 2 - 1/33 4/17

48. Simplify these algebraic expressions: 4.2 & 4.3

h + 5h – 3 – 5h 9 – t -3(t + 3) -11x + 4 +8x -4 + 3x b – 2(b – 2)

6h – 3 – 5h 9 – t -3t – 9 -11x + 4 + 11x -4 b -2b – 4

6h – 5h -3 = h – 3 -4t +9 – 9 = -4t -11x + 11x + 4 – 4 = 0 -b – 4

49. z + 5 = 12 r – 16 = -16 y – (-12) = 0 p – 21 = -2

-5 = -5 +16 = +16 y + 12 = 0 +21 +21

z = 7 r = 0 -12 -12 p = 19

y = -12

50. Simplify each expression: 1.3

b(4 x 6) = 24b

Page 10: Pre-Algebra Practice Exam Semester One Remember! … · Pre-Algebra Practice Exam Semester One Remember! Take a deep breath and relax while you go through the problems Do not assume

25 + (15 + s) = 40 + s

(6 x r) x 5 = 30r

51. Simplify these algebraic expressions: 4.5

52. 5d – 9 = -24 w/2 – 16 = 5 n/5 + 4 = -11

+9 = +9 + 16 = + 16 - 4 = -4

5d = - 15 w/2 = 21 n/5 = -15

÷ 5 = ÷ 5 (2)(w/2) = 21(2) (5)(n/5) = (-15)(5)

d = -3 w = 42 n = -65

53. Find each sum or difference: chapter 0.3

25.72 + 18.67 = 25.54 + 36.7 = 4865.7 + 705.76 =

44.39 62.24 5571.46

54. 458.07 – 67.75 = 73.2 – 42.86 = 852 – 469.72 =

390.32 30.34 382.28

55. Find each sum or difference and write in simplest form. 3.5

5/10 – 3/10 2/9 - 6/9 -7/9 -4/9 -8 7/10 + 2

3/10

2/10 = 1/5 -4/9 -11/.9 = -1 2/9 -6 2/5

56. Find the product or quotient: 0.3

6.2 x 3.9 = 49 x 3.7 = 6.535 x 3.7 =

24.18 181.3 24.1795

57. 92.4 ÷ 5.5 382.1565 ÷ 36.57 = 6482.84 ÷ 46.22

16.8 10.45 140.2604933

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58. Make the following conversions: 0.6

1 yd = ____ft. 4 ft = ____in. ____mm = 34 cm

3 ft. 48 in. 340mm

59. Number Sense: 0.2

The product of 2 consecutive even integers is 1088. What are the integers?

This is meant to be a Guess and Check problem. The answer is 32 & 24

60. Find the perimeter and area for each figure described. 5.1

A square with a side = 5 cm A rectangle with side a = 6ft and b = 9 ft

P = 5 + 5 + 5 + 5 = 20 cm P = 6 + 6 + 9 + 9 = 30 ft

A = 5 x 5 = 25 cm² A = 6 x 9 = 54 ft²

61. A Right triangle where a is the height = 14, b is the base = 48, c = 50 cm

P = 14 + 48 + 50 = 112 cm

A = ½ (48) (14) = 24 x 14 = 336 cm²

62. Find the perimeter and area for each figure described. 5.1

A triangle where a is the height = 17, b is the base = 21, c = 23 ft

P = 17 + 21 + 23 = 61 ft

A = ½ (21) (17) = 10.5 x 17 = 178.5

63. Find the missing dimension: 5.1

A right triangle where a is the height is = 36 cm, b is the base = ?, c = 60cm and the area = 864cm²

What is the measurement of the base?

½ (b) x 36 = 864 cm²

÷ 36 = ÷ 36

(1/2)b = 24

2/1) (1/2)b = 24 (2/1)

b = 48 cm

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64. Find the missing dimension: 5.1

A rectangle has side a = 14 ft and area = 68 ft², what is the measure of side b?

A = (side a) (side b)

68 ft² = 14b

÷ 14 = ÷ 14

b = 17 ft

65. Define a variable and write an equation to find each number. Then solve. 5.2

Four times a number is 21 more than the number. What is the number

Let x = a number 4x = 21 + x

-x = -x

3x = 21

÷3 = ÷3 4 (7) = 21 + 7

x = 7 28 = 21 + 7

28 = 28

66. Define a variable and write an equation to find each number. Then solve. 5.2

Eight less than three times a number = that number. What is the number

Let x = a number 3x – 8 = x

+8 = +8

3x = 8 + x

-x = -x 3(4) – 8 = 4

2x = 8 12 – 8 = 4

x = 4 4 = 4

67. Do Example 2, numbers 20-26 on page 28 in the Textbook 1.4

L (2,4)

N (2,1)

Q (3,7)

S (5,0)

68. Scatter Plots: 1.6

Complete #11 on page 44 and

Refer to the answers in the back of the book

69. Do the following problems in the textbook for 2.6 and 2.7, see your homework, quizzes or tests

for additional problems.

Page 98, numbers 20, 22, 24, 26 (only name the coordinate)

Page 13: Pre-Algebra Practice Exam Semester One Remember! … · Pre-Algebra Practice Exam Semester One Remember! Take a deep breath and relax while you go through the problems Do not assume

20. II 22. I 24. III 26. None

70. Page 105, numbers 10, 11, 12

10. Translation 5 units to the right

11. reflection over the x-axis

12. Translation 5 units to the left and 4 units down