Holt California Algebra 2 - Ms. Berenyi's Classes

[Pages:117]Holt California Algebra 2

Homework and Practice Workbook

Copyright ? by Holt, Rinehart and Winston

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ISBN 13: 978-0-03-099054-0 ISBN 10: 0-03-099054-8 1 2 3 4 5 6 7 8 9 862 10 09 08 07

Contents

Chapter 1................................................................................................................................... 1 Chapter 2................................................................................................................................... 9 Chapter 3................................................................................................................................... 19 Chapter 4................................................................................................................................... 25 Chapter 5................................................................................................................................... 31 Chapter 6................................................................................................................................... 40 Chapter 7................................................................................................................................... 46 Chapter 8................................................................................................................................... 54 Chapter 9................................................................................................................................... 60 Chapter 10................................................................................................................................. 69 Chapter 11 ................................................................................................................................. 77 Chapter 12................................................................................................................................. 86

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

iii

Holt Algebra 2

Name

Date

Class

LESSON Practice B 1-1 Sets of Numbers

Order the given numbers from least to greatest. Then classify each

number by the subsets of the real numbers to which it belongs.

1.

_23_,

_

6.17,

28 ,

3_18_,

4.9

2.

5,

63 ,

_3_8_,

_

4.615,

0

Rewrite each set in the indicated notation. 3. negative multiples of 3; set-builder notation 4. [4, 0) or (10, 21); words

5.

roster notation

6.

set-builder notation

The length of a necktie is generally in the range 52, 58 inches. The width of a tie is in the range 2.75, 3.5 inches. Use this information for Exercises 7?8.

7. Represent the range of the length of neckties in roster notation. Assume that all neckties come in whole-inch lengths.

8. Represent the range of the width of neckties in set-builder notation.

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1

Holt Algebra 2

Name

Date

Class

LESSON Practice B 1-2 Properties of Real Numbers

Find the additive and multiplicative inverse of each number.

1. 6

2. 3_14_

3. 0.7

Identify the property demonstrated by each equation.

4. x a b ax bx

5. m n 6 n 6 m

6. 4gh 4gh

7.

____5_ w

__w___ 5

1

Use mental math to find each value. 8. 5% rebate on a $150 cell phone

9. cost of 8 items at $12.98 each

Classify each statement as sometimes, always, or never true. Give examples or properties to support your answer.

10. d d 0

11. a bc a b a c

Use the table for Exercises 12?14. Write an expression to represent each total cost and then simplify it.

12. cost of 2 pens and 3 notebooks

School Supply Store

13. cost of 1 binder and 5 notebooks

Item Notebook

Price $1.79

14. cost of 3 notebooks at 20% discount, a binder at 25% discount, and 2 pens

Pen Binder

$2.89 $3.19

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

2

Holt Algebra 2

Name

LESSON Practice B 1-3 Square Roots

Estimate to the nearest tenth.

1. 78

2. 57

Simplify each expression. 4. 243

5.

__ 9_0_ 40

Date

Class

3. 39 6. 42 3

7. __ 14_4_4_

8.

_ 1_2_5_ 5

9. 320

Simplify by rationalizing each denominator.

10.

_6__ 5

11.

__3___ 1_5_ 3

12.

__ 1_3_ 46

Add or subtract. 13. 75 105

14. 123 3 12

15. 6 50 4 32

Solve.

16. A building has a mural painted on an outside wall. The mural is a square with an area of 14,400 ft2. What is the width of the mural?

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

3

Holt Algebra 2

Name

Date

Class

LESSON Practice B 1-4 Simplifying Algebraic Expressions

Write an algebraic expression to represent each situation.

1. the measure of the complement of an angle with measure w

2. the number of eggs in d cartons that each hold 1 dozen eggs

Evaluate each expression for the given values of the variables.

3. 4t 3s 2 s 3 for t 2 and s 3

4.

5__w_p____2_w_ 3wp 2

for

w

4

and

p

1

Simplify each expression.

5. 4r 3t 6r t

6. 5a b 62a 3b

Simplify each expression. Then evaluate the expression for the given values of the variables.

7. 2d 3c 4d c

for d 0 and c 2

8. 3f 2 3f 4g g for f 1 and g 1

Solve.

9. Marco delivers newspapers on the weekend. He delivers s newspapers on Saturday and 4s newspapers on Sunday. He earns $0.15 for each paper he delivers.

a. Write an expression for the total amount of money Marco earns each weekend.

b. Evaluate your expression for s 50.

c. Write an expression for the amount of money Marco earns in a year if he delivers the same number of papers every weekend.

10. A tank holds 500 gallons of water. It starts out full, then 10 gallons are released every minute.

a. Write an expression for the number of gallons in the tank after m minutes.

b. Write an expression for the number of gallons in the tank after m minutes if 2 gallons are also added every minute.

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

4

Holt Algebra 2

Name

LESSON Practice B 1-5 Properties of Exponents

Write each expression in expanded form.

1. 3x 5

2. j 3k 3

Date

Class

3. 7t 2 4r 4

Evaluate each expression. 4. 2 4

5.

_5_ 2 8

6. _32_ 3

Simplify each expression. Assume all variables are nonzero.

7.

_6_8_f 5_g_ __3 4f 3g 6

8. 4a 3b 7 2

9. 6m 4n 9 3m 2n 3 2

Evaluate each expression. Write the answer in scientific notation.

10. 7.2 10 5 4.5 10 3

11.

1__.7____1_0__5 3.4 10 9

12. 7.8 10 8 2.8 10 11

Solve. 13. The A-1 Moving and Storage Company sells crates that measure

x 2y units wide, x units long, and y 2 units tall. Find the volume of the crate.

14. The average lifespan for an adult living today is about 82 years. Some scientists believe that people born in the early part of this century may live up to 150 years. Calculate the number of minutes an 82-year-old and a 150-year-old could live. Round to the nearest million. Record the difference in scientific notation.

15. A movie made $6.7 10 7. It took 250 hours to film it. How much money was earned for each hour of filming? Write your answer in scientific notation.

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

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Holt Algebra 2

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