Name _________________ Date _____ Class _____

aiil Practice B •Variables and Expressions Give two ways to write each algebraic expression in words.

1. 15 - b 2. 1~

3. ·X+ 9 4. (2)(~

5. z 7 6. 4y

7. Sophie's math class has 6 fewer boys than girls, and there are g girls. Write an expression for the number of boys.

8. A computer printer can print 10 pages per minute. Write an expression for the number of pages the printer can print in m minutes.

Evaluate each expression for r = 8, s = 2, and t = 5.

9. st 10. r s 11. s + t

12. r - t 13. r' s 14. t - s

15. Paula always withdraws 20 dollars more than she needs from the bank.

a. Write an expression for the amount of money Paula withdraws if she needs d dollars.

b. Find the amount of money Paula withdraws if she needs 20, 60, and 75 dollars.

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Name ________________ Date _____ Class _____

bi Practice B Adding and Subtracting Real Numbers

Add or subtract using a number line.

1. -6+ (-8) 2. 2 (-8) 3. 10 + (-4) =

4. -2 ­ (-6) 5. -7 + 7 6. -0.25 4

Add.

7. -5 + 23 8. 15 + (-9) 9. 24.6 + (-45.5)

310. -8 + 5 11. a + (-14) for a = 16 12. -3.3 + x for x -9.1

Subtract.

13. -35 (-80) 14. 12 (-16) 15. 8.3 - 10.7

51 3

17. 15 - t for t = - 22 18. z ­ 3.5 for z = 1

19. The record high temperature for Asheville, North Carolina was 99°F. The record low was -17°F. What is the difference between these two temperatures?

20. ,The balance in Mr. Sanchez's bank account was $293.74. He accidentally wrote a check for $300. What is his balance now?

Evaluate the expression 18 - n for each value of n.

21. n = -13 22. n = 8.55 23. n = 20~

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Name ________________ Date _____ Class _____

aiil Practice B Multiplying and Dividing Real Numbers

Find the value of each expression.

1. -24 -7- -8 2. 24( -5) 3. -96 -7- 3

4. -6(20) 5. - 7P for p -15 6. t -7- ( 1.5) for t 6

Divide.

7. -~ -7- ~ 8. 12 -7- (- 26 )5

Multiply or divide.

10. 0 . 4.75 11. 0 -7- 10 12. -i -7- 0

13. When Brianna's first CD sold a million copies, her record label gave her a $5000 bonus. She split the money evenly between herself, her agent, her producer, and her stylist. How much money did each person receive?

16. -15 -7- (-6)14. (0.3)( -1.8)

Evaluate each expression for x= 16, y =-4, and z =-2.

17. Y x 18. x . y 19. xz

20. z -7- y 21. (y)(z) 22. Y -7- z

23. x -7- z 24. x -7- Y 25. z x

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Name ________________ Date _____ Class _____

· LEssoil Practice B

1. 2. 3.

5

Evaluate each expression.

4. 24 5. (-3)3

8. (-10)4

Write each number as a power of the given base.

10. 16; base 2 11. 1 ,000,000; base 10 12. -216; base -6

13. 2401; base 7 14. 256; base -4 15. 28 ; base ~ 7

16. Anna needed to let everyone in the music club know the time 0f its next meeting. She called two people and asked each of them to call two other people, and so on. If each phone call takes one minute, how many phone calls were made during the fifth minute?

Copyright © by Holt, Rinehart and Winston. 28 Holt Algebra 1All rights reserved.

Name ________________ Date _____ Class _____

Ii.~ Practice B Square Roots and Real Numbers

Find each square root.

1. Y144 2. -\136 3. f£

4. vT96 5. -\164 6. -y;~

7. A contractor needs to cut a piece of glass to fit a square window. The area of the window is 12 ft2. Find the length of the side of the window to the nearest tenth of a foot.

8. A piece of cloth must be cut to exactly cover a square table. The area of the table is 27 ft2. Find the length of the side of the table to the nearest tenth of a foot.

Write all the classifications that apply to each real number.

9. V2 10. ~

11. -10 12. V8f

13. 0 14. 1

.r

Copyright © by Holt, Rinehart and Winston. 36 Holt Algebra 1 All rights reserved.

Name ________________ Date ____ Class _____

iiitl Practice B Order of Operations

Simplify each expression.

1.18-12+42 2. 5 . 3 + 2(4) 3. -2[7+6(3-5)]

16 + 46. 2(V13 - 4)

Evaluate each expression for the given value of the variable.

7. 3 - y2 + 7 for y = 5 8. -3(x + 12 . 2) for x -8

9. (m + 6) -;-(2 5) for m 9 10. -5t + 12 ~tfor t 10

Translate each word phrase into a numerical or algebraic expression.

11. the product of 6 and the sum of 3 and 20

12. the absolute value of the difference of m and 15

13. the quotient of -18 and the sum of - 2 and d

Degrees Fahrenheit F can be converted to degrees Celsius C using

the expression i(F- 32). Degrees Celsius can be converted to

degrees Fahrenheit using the expression ~C + 32.

14. The hottest recorded day in Florida history was 109°F, which occurred on June 29, 1931 in Monticello. Convert this temperature to degrees Celsius. Round your answer to the nearest tenth of a degree.

15. The coldest recorded day in Florida history was about -18.9°C, which occurred on February 13, 1899 in the city of Tallahassee. Convert this temperature to degrees Fahrenheit. Round your answer to the nearest tenth of a degree.

Copyright © by Holt, Rinehart and Winston. 44 Holt Algebra 1All rights reserved.

Name ________________ Date _____ Class _____

if. Practice B Simplifying Expressions

Simplify each expression.

1. 18 + 9 + 1 + 12 2. 7 • 15 • 2 3. 3 + 4 + 11 + 5;

4. -5· 7 • 20 5. -12 + 3 + 12 + 19 6. 1· 5 • 9 • 2

Write each product using the Distributive Property. Then simplify.

7. 14 (12 ) 8. 5 (47) 9. 4 (1 06 )

Simplify each expression by combining like terms.

10. 16x + 27x 11. -4m + 12m 12. 6f - 2f

14. 4p + 7p2 15. -2.6d -:- 3.4d

Simplify each expression. Justify each step.

16. 4(x+ 9) + 5x 17. 12d+ 3 + 14d+ 18

Give an expression in simplified form for the perimeter of each figure.

18. 19.

42x

2)

Copyright © by Holt, Rinehart and Winston. 52 Holt Algebra 1 All rights reserved.

------

Name _________________ Date _____ Class _____ r, \

li~1 Practice B ,

Introduction to Functions Graph each point.

1. G (2,2) 2. M (3,8)

3. X(4, -7) 4. L ( 6, 1) ~1

5. K (8,0) 6. T(-2,5)

Name th'e quadrant in which each point lies.

7. A _______ 8. B ______

-19.C ______ 10.0

11. E ______ 12. F ______

13. Generate ordered pairs for y = 1x - 41 using x = 2, 3, 4, 5 and 6. Graph the ordered pairs and describe the pattern.

Input Output Ordered Pair

x y (x, y)

14. The number of chaperones at a school field trip must be ~ the

number of students attending, plus the 2 teacher sponsors. Write a rule for the number of chaperones that must be on the trip. Write ordered pairs to represent the number of chaperones that must attend the trip when there are 120, 150, 200, and 210 students.

Copyright © by Holt, Rinehart and Winston. 60 Holt Algebra 1 All rights reserved.

..Chapter Review

1·1 Variables and Expressions

Evaluate each expression for a = 3, b = 4, and c =8.

1.8 + b 2.8C

3. C - b 4. c-+ b

5. Amy runs 3 miles each day.

a. Write an expression for the number of miles Amy runs in d days.

b. Find the number of miles Amy runs in 5, 10, and 32 days.

1·2 Adding and Subtracting Real Numbers

Add or subtract.

4 16. 15.3 - 61.4 7'9 - 3

8.72+(-38) 9.6.4 9.8

10. Sue had $78.25. She spent $25.65. How much does she have left?

1·3 Multiplying and Dividing Real Numbers

Multiply or divide.

11. -2.3(10) 12.2 -+ ~

13.64 -+ (-8) 14.4(12)

15. There were 183 people at a basketball game. Each ticket cost $8. How much money was spent on the tickets for the basketball game?

COpYright © by Holt, Rinehart and Winston, All Tights reserved, 20 Algebra 1

[ CHAPTER 1 REVIEW CONTINUED I

• 1·4 Powers and Exponents

Write each number as a power of the given base.

16. 16; base -2 17. 1024; base 4

18. 625; base 5 19. -27; base -3

20. A certain species started with two and doubled every day. How many species were there after 8 days?

1·5 Square Roots and Real Numbers

Compare. Write <, >, or =. 21. V12T. 10 22.11

• 23.9 24.6

25. Brian's square pool has an area of 124 ft2. Estimate the side length of his pool.

1·6 Order of Operations

Evaluate each expression for the given val",e of x.

26. - x + 5(4) for x = 6 27. x2(9 + 2) for x = 3

28. 4x -:- 2(7) - 1 for x = 14 29. 5(-x2 - 8) for x = 2

30. A basketball player's total points can be found by using the expression 1f + 2j + 3t. Diana made 85 foul shots (f), 106 jump shots (j), and 39 three pointers (t) last season. How many points did she score?

• Copyright 0 by Holt, Rinehart and Winston. 21 Algebra 1All nghts reserved.

I /f

• CHAPTER 1 REVIEW CONTINUED I

1·7 Simplifying Expressions

Simplify each expression by combining like terms.

31.8x 2 + 4x 32. 12p + 15p

33.6(5 - y) + 5y 34. a - 5(2a + a

Write each product using the Distributive Property. Then simplify.

2)

35.5(47)

37. 11 (97) 38. 7(83)

1·8 Introduction to Functions

Generate ordered pairs for each function using the given values for x.

39. Y = -3x2 -: 2; x = -1,0,2 40. Y = 8 2x; x = -1, 0, 1

41. The initial cost of renting a car is $50 plus 0.25 per mile at Rent-A-Car. Write a rule for the cost of renting a car from Rent-A-Car. Write ordered pairs for the cost of renting a car and driving 50, 100, and 150 miles.

Copyright © by Holt, Rinehart and Winston, 22 Algebra 1All rights reserved,

----~--------- '--"-~------

iii Big Ideas

• Answer these questions to summarize the important concepts from Chapter 1 in your own words.

1. Explain how adding numbers with the same sign is different from adding numbers with different signs.

, '

2. Explain the relationship between square roots and perfect squares.

3. Explain why Tf is an irrational number .

• 4. Explain how to graph the point (-5, 7).

5. How are natural numbers and whole numbers alike and different?

For more review of Chapter 1:

• Complete the Chapter 1 Study Guide and Review on pages 62-65 of your textbook.

• Complete the Ready to Go On quizzes on pages 39 and 61 of your textbook.

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