Practice WS

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Practice Workbook

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Find the next three terms in each sequence. 1.14, 21, 28, 35, 42, . . . 2.1, 2, 4, 8, 16, . . . 3.13, 15, 17, 19, 21, . . . 4.26, 39, 52, 65, 78, . . . 5.1, 6, 11, 16, 21, . . . 6.1, 7, 3, 9, 5, 11, . . . 7.25, 36, 49, 64, 81, . . . 8.2, 2, 4, 6, 10, . . . 9.7, 22, 43, 70, 103, . . . 10.9, 36, 81,144, 225, . . . 11.2, 5, 10, 17, 26, . . . 12.1000, 729, 512, 343, 216, . . .

Find each sum. Think of a geometric dot pattern, but do not draw a sketch.

13. . . . 14. . . .

Solve each problem.

15.The third and fourth terms of a sequence are 26 and 40. If the second

differences are a constant 4, what are the first five terms of the sequence?

16.If the second differences of a sequence are a constant 2, the first of the

first differences is 3, and the first term is 12, find the first five terms of the sequence.

17.Complete the table.

20.There are 6 players in a backgammon tournament. If each player

must play every other player, how many games need to be played?

Practice

1.1 Using Differences to Identify Patterns

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Number 2 4 6 8 10 12 14 16 Pattern 12 24 36 48 Number 1 2 3 4 5 6 7 8 Pattern 2 23 58 107 170 Number 2 4 6 8 10 12 14 16 Pattern 2 6 12 20

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Given the values of the variable, complete each table to find the values of each expression.

1.

2.

3.

Use guess-and-check to solve the following equations:

4. 5.

6. 7.

8. 9.

10. 11.

For Exercises 12–15, write an equation and solve by guess-and-check.

12.If hamburgers cost $4 each, how many can you buy with $12? 13.If tickets for a concert cost $18 each, how many can you buy

with $54?

14.Fruit baskets cost $16 each. How many do you have to sell to raise

$115?

15.How many $16 fruit baskets can you buy if you have $45?

16.Deluxe fruit baskets cost $26 each. How many do you have to sell

Practice

1.2 Variables, Expressions, and Equations

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x 1 2 3 4 5 6 6x n 1 2 3 4 5 6 8nⴚ 6 d 2 4 6 8 10 12 3dⴙ 21

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Evaluate each expression. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16.

Place inclusion symbols to make each equation true.

17.

18.

19.4 20.

Given , , and , evaluate each expression.

21. 22. 23. 24. 25. 26. 27.(aⴙ b) ⴜ c 28.aⴙ b2ⴚ c b2ⴚ a2 a2ⴙ c2 bⴜ a ⴙ a ⴢ c aⴢ b ⴙ a ⴢ c aⴙ b ⴚ c bⴚ a ⴙ c cⴝ 5 bⴝ 6 aⴝ 3 3ⴢ 4 ⴙ 2 ⴜ 6 ⴝ 3 4ⴢ 5 ⴚ 3 ⴙ 2 ⴝ 10 12ⴢ 1 ⴙ 5 ⴜ 12 ⴝ 6 27ⴙ 5 ⴢ 8 ⴚ 6 ⴝ 37 6ⴙ 33ⴚ 18 ⴜ 6 4ⴙ 1 ⴢ 42ⴚ 3 9ⴚ 3 ⴜ 4 ⴙ 2 ⴢ 12 ⴙ 6 ⴜ 2 ⴢ 3 36ⴚ 6 ⴢ 3 ⴜ 18 ⴢ 3 90ⴜ 3 ⴙ 5 12ⴙ 6 ⴜ 4 ⴙ 2 5ⴙ 3 ⴢ 5 5 12ⴙ 6 4ⴙ 2 4ⴢ 6 ⴜ 12 ⴙ 10 16ⴙ 8 ⴜ 2 16ⴢ 37 ⴙ 88 ⴢ 49 0.2(2.5)ⴙ 8 (16ⴙ 4) ⴢ 8 ⴙ 2 (16ⴙ 4) ⴢ (8 ⴙ 2) 16ⴙ 4 ⴢ (8 ⴙ 2) 16ⴙ 4 ⴢ 8 ⴙ 2 Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

1.3 The Algebraic Order of Operations

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Graph each list of ordered pairs. State whether they lie on a straight line.

1.(4, 3), (2, 3), (ⴚ2, 3) 2.(2,ⴚ2), (4, 1), (5, 2) 3.(5, 5), (1, 2), (ⴚ3, ⴚ1)

4.(ⴚ4, ⴚ2), (ⴚ2, 0), (0, 2) 5.(ⴚ3, 4), (0, ⴚ1), (3, ⴚ5) 6.(5, 6), (2, 3), (ⴚ1, 0)

Make a table for each equation, and find the values for y by substituting 1, 2, 3, 4, and 5 for x.

Practice

1.4 Graphing With Coordinates

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Find the first differences for each data set, and write an equation to represent the data pattern.

1. 2.

3. 4.

5.

6.

Make a table of values for each question below, using 1, 2, 3, 4, and 5 as values for x. Draw a graph for each equation by plotting points from your data set.

7. 8. 9. 10.

11. 12. 13. 14.

Suppose that the cost to order baseball tickets is $17 per ticket plus $2.50 handling charge per order (regardless of how many tickets are ordered).

15.How much does an order of 4 tickets cost? 16.How much does an order of 6 tickets cost?

17.Let t represent the number of tickets, and write an equation for

Practice

1.5 Representing Linear Patterns

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0 1 2 3 4 5 6 20 120 220 320 420 520 620 0 1 2 3 4 5 6 396 362 328 294 260 226 192 0 1 2 3 4 5 6 13 20 27 34 41 48 55 0 1 2 3 4 5 6 19 24 29 34 39 44 49 0 1 2 3 4 5 6 0 4 8 12 16 20 24 0 1 2 3 4 5 6 4 23 42 61 80 99 118

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For each scatter plot, describe the correlation as strong positive, strong negative, or little to none. Explain the reason for your answer.

1. 2. 3.

The chart shows the average time that a person can survive in water at a particular temperature

4.Use the grid at the right to make a scatter plot

of water temperature versus average survival time.

5.Describe the correlation between temperature

and survival time. Explain your reasoning.

Practice

1.6 Scatter Plots and Lines of Best Fit

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Water temperature (°F) 37 45 55 60

Average survival time (in minutes) 7 18 29 60

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Insert , , or ⴝto make each statement true.

1.5 ⴚ10 2.1.40 1.4 3.19.5

4. 5.8.8 0 6.12.2 12.02

7.0 ⴚ3 8.ⴚ18 9.ⴚ2.3

10. 11.98.59 98.6 12.2 0.667

Find the opposite of each number.

13.418 14.ⴚ4.8 15.0.2 16.

17. 18.76 19.ⴚ32 20.1

21.ⴚ19.5 22. 23.ⴚx 24.1953

Find the absolute value of each number.

25.17 26.ⴚ100 27. 28.ⴚ4.12

29. 30. 31.ⴚ22 32.3.1416

33.85 34.ⴚ52 35.1971 36.

Simplify each expression.

ⴚ(0.8 ⴙ 0.095) ⴚ(4 ⴜ 2) ⴚ₁₀₀₀9 3 5 ⴚ131₂ 291₅ 162₃ n 4 ⴚ3₈ 1 3 0.3 2₁₀3 ⴚ181₂ ⴚ7₃₂5 ⴚ91₃ 19₁₀7 Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

2.1 The Real Numbers and Absolute Value

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Use algebra tiles to find each sum. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.

Find each sum.

ⴚ4

_ⱍ

ⴚ24 ⴙ (ⴚ62) ⴙ (ⴚ11) ⴚ6 ⴙ (ⴚ42) ⴙ 24 ⴚ78 ⴙ (ⴚ78) ⴙ 50 ⴚ54 ⴙ 63 ⴙ (ⴚ20) 4ⴙ (ⴚ7) ⴙ (ⴚ4) ⴚ3 ⴙ (ⴚ1) ⴙ (ⴚ2) ⴚ68 ⴙ (ⴚ15) ⴚ45 ⴙ (ⴚ45) ⴚ86 ⴙ 85 59ⴙ (ⴚ59) ⴚ34 ⴙ 28 42ⴙ (ⴚ56) ⴚ17 ⴙ (ⴚ19) 60ⴙ (ⴚ18) 15ⴙ (ⴚ28) ⴚ35 ⴙ 40 ⴚ3 ⴙ (ⴚ4) ⴙ 2 5ⴙ (ⴚ1) ⴙ (ⴚ2) ⴚ4 ⴙ (ⴚ1) ⴙ 3 (ⴚ6) ⴙ (ⴚ2) ⴚ1 ⴙ (ⴚ9) 10ⴙ (ⴚ9) ⴚ8 ⴙ 3 ⴚ7 ⴙ 9 7ⴙ (ⴚ4) 9ⴙ (ⴚ4) ⴚ3 ⴙ (ⴚ7) ⴚ6 ⴙ 6 4ⴙ (ⴚ5) ⴚ4 ⴙ (ⴚ1) ⴚ3 ⴙ 2 Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

2.2 Adding Real Numbers

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Use algebra tiles to find each difference.

1. 2. 3.

4. 5. 6.

7. 8. 9.

Evaluate each expression.

10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

Substitute 4 for x, ⴚ4 for y, and ⴚ12 for z. Evaluate each

expression. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37.

Find the distance between each pair of points on the number line.

38.6, 10 39. , 2 40. , 41.ⴚ13, 26 42.ⴚ44, ⴚ29 43.ⴚ15, 73 ⴚ38 ⴚ35 ⴚ5 xⴚ x ⴚ x ⴚ x yⴚ (x ⴚ z) (xⴙ y) ⴙ (y ⴚ z) zⴚ z ⴚ z (xⴚ z) ⴚ y yⴚ z (yⴙ z) ⴚ x yⴙ z (xⴚ y) ⴙ z xⴙ y ⴚ z xⴙ z zⴚ y ⴚ99 ⴙ 16 ⴚ (ⴚ24) 72ⴚ 56 ⴚ 13 ⴚ29 ⴚ 16 ⴚ (ⴚ37) 45ⴚ (ⴚ27) ⴚ (ⴚ17) 86ⴚ (ⴚ15) ⴚ 9 ⴚ66 ⴚ 66 ⴙ 6 ⴚ13 ⴙ 19 ⴚ (ⴚ25) ⴚ24 ⴙ 47 ⴙ (ⴚ24) ⴚ49 ⴚ 18 58ⴚ (ⴚ58) ⴚ56 ⴙ (ⴚ42) ⴚ64 ⴚ 73 ⴚ85 ⴚ (ⴚ34) 26ⴚ (ⴚ26) 53ⴚ (ⴚ8) 56ⴚ 2 ⴚ8 ⴚ (ⴚ8) 6ⴚ (ⴚ5) 4ⴚ 7 ⴚ8 ⴚ (ⴚ2) ⴚ4 ⴚ 3 ⴚ3 ⴚ 2 3ⴚ (ⴚ2) ⴚ3 ⴚ (ⴚ2) 3ⴚ 2 Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

2.3 Subtracting Real Numbers

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Evaluate. 1. 2. 3.(2)(–5) 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33.

Tell whether each statement is true or false.

34.The product of two negative numbers is positive. 35.The quotient of two negative numbers is positive. 36.The average of a set of negative numbers is positive. 37.The difference of two positive numbers is always positive. 38.The sum of two positive numbers is positive.

Stephanie opened a savings account with a $35 deposit. She made a total of 6 additional deposits of $15 each and withdrawals of $5, $10, and $15.

39.What is the total amount that Stephanie deposited in her account

after her initial deposit?

40.What is the total amount that Stephanie withdrew from her account

after her initial deposit?

41.What is the total amount currently in Stephanie’s account?

(ⴚ2)(20)(ⴚ40) ⴚ10 (ⴚ2)(ⴚ14) 7 (8)(ⴚ1) ⴚ8 (ⴚ2)[5 ⴙ (ⴚ5)] (ⴚ5)(5)(5) ⴜ (5) (ⴚ4488) ⴜ (136) (ⴚ7)(ⴚ3)(6) (ⴚ2.5) ⴜ (ⴚ4) (ⴚ8) ⴜ [5 ⴙ (ⴚ3)] (ⴚ3)[(ⴚ1) ⴙ (ⴚ5)] (6)(5)(ⴚ7) (ⴚ2.1) ⴜ (ⴚ7) (ⴚ0.5)(ⴚ12) (ⴚ240) ⴙ (ⴚ8) (ⴚ240) ⴜ (ⴚ8) (ⴚ27)(ⴚ1.3) (ⴚ35)(22) (ⴚ42) ⴜ (ⴚ3) (ⴚ7) ⴚ (ⴚ4) (ⴚ11) ⴚ (ⴚ4) (ⴚ11)(ⴚ4) (ⴚ3)(ⴚ3) (ⴚ2)(ⴚ3) (ⴚ1)(ⴚ3) (2)(ⴚ3) (3)(ⴚ3) (4)(ⴚ3) (ⴚ3)(ⴚ5) (ⴚ2)(ⴚ5) (ⴚ1)(ⴚ5) (3)(ⴚ5) (4)(ⴚ5) Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

2.4 Multiplying and Dividing Real Numbers

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Complete each step, and name the property used.

1.

) Commutative Property of Addition ) Property of Addition

2.

Property

Use mental math to find each sum or product. Show your work and explain each step.

3. 4.

5. 6.

Name the property illustrated. Be specific.

7. 8. 9. 10. 11. ⴢ 300 ⴙ 6 ⴢ 80 ⴝ 6(300 ⴙ 80) 5ⴢ (12 ⴢ 4) ⴝ 5 ⴢ (4 ⴢ 12) 6(3x)ⴝ (6 ⴢ 3)x 4(2.3ⴙ 4.9) ⴝ 4(2.3) ⴙ 4(4.9) 23ⴙ (17 ⴙ 34) ⴝ (23 ⴙ 17) ⴙ 34 46ⴙ 12 ⴝ 12 ⴙ 46 2ⴢ (137 ⴢ 5) (828ⴙ 386) ⴙ 412 (96ⴢ 4) ⴢ 5 (46ⴙ 28) ⴙ 24 ⴝ ⴙ ⴝ ⴢ 5 ⴙ ⴝ 35 ⴢ 35(3ⴙ 5) ⴝ ⴝ 68 ⴙ ⴝ 68 ⴙ (24 ⴙ ⴙ 66 ⴝ (68 ⴙ (24ⴙ 68) ⴙ 66 Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

2.5 Properties and Mental Computation

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Use the Distributive Property to write equivalent expressions for each expression below.

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

Give the opposite of each expression.

11. 12.

13. 14.

15. 16.

17. 18.

19. 20.

Simplify the following expressions:

21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35.(3ⴚ r) ⴙ (4r ⴚ 3s ⴙ 2) ⴚ (1 ⴚ s) 5( fⴚ h) ⴚ 4f 3( fⴙ g) ⴙ 7g xⴙ y ⴚ (3t ⴙ y) (4qⴙ 2) ⴚ (2q ⴚ 3) 10ⴙ r ⴚ 10 (6ⴚ 2c) ⴚ (2c ⴙ 2) (6pⴚ 3q) ⴚ (ⴚ6p) (3aⴙ 2b) ⴙ (ⴚ3a ⴙ b) mpⴙ 3mp 5aⴚ (3a ⴙ 1) ⴚ2d ⴙ 5d 6rⴚ 3r 6fⴙ 4f 2aⴚ a 5aⴙ (3c ⴙ 4) (cⴙ d) ⴙ y 9bⴚ (3 ⴚ 6z) ⴚ6x ⴙ (2a ⴙ 5) mⴚ 8n ⴚ 4p ⴚ7a ⴚ 6b ⴚ 4c ⴚ4x ⴙ 3y 4aⴚ 4b ⴚx ⴙ 2z ⴚ10t ⴙ 21 ⴚ25q ⴚ 35 a(bⴙ w) rtⴙ rk ⴚ12(2x ⴚ 8) 18hⴙ 63 9(bⴙ 11) 14fⴚ 28 6(2aⴚ 3) 5tⴚ 35 4(3xⴙ 7) Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

2.6 Adding and Subtracting Expressions

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Simplify the following expressions. Use the Distributive Property if needed. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20.

A computer consultant charges $50 per hour. How much would the consultant charge for

21.3 hours? 22.7.5 hours? 23.t hours?

A telephone company charges $40 per hour for repair work, plus a $25 service charge per job. How much would a customer be charged for a job that takes

24.2 hours? 25.3.5 hours? 26.t hours?

George makes $8.00 an hour at his part-time job. Find his earnings for each of the following days:

27.3 hours on Monday 28.7 hours on Saturday

32yⴙ 24y 4y ⴚy(c ⴙ d) ⴚ18w ⴙ 12 ⴚ6 10ⴚ 5x ⴚ5 3ⴙ 24r 3 3xⴚ (2x ⴚ 5) ⴚ3(2 ⴚ 7m) 4gⴚ 4r 4 ⴚ4(6y ⴚ 4) ⴚ15x 3 ⴚ36z ⴜ (ⴚ4) ⴚ5(7 ⴚ 4e) rtⴢ rk 7yⴢ 9y ⴚ12w 2w ⴚ2.3y ⴢ y ⴚ4(2d ⴚ 3) 4aⴢ 3a ⴚ4t ⴢ 3 2ⴢ 7x Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

2.7 Multiplying and Dividing Expressions

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Solve each equation. You may use algebra tiles.

1. 2. 3.

4. 5. 6.

7. 8. 9.

State which property you would use to solve each equation. Then solve. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23.

Assign a variable and write an equation for the situation below. Then solve the equation.

24.John bought a 60¢ donut and 35¢ cup of coffee. How much did

John leave for a tip and taxes if he spent a total of $1.25?

xⴙ1₅ ⴝ₁₀3 yⴚ3₄ⴝ1₈ rⴙ 6.5 ⴝ 10.9 8.9ⴝ a ⴚ 6 xⴚ 3.6 ⴝ 7 xⴙ 6.26 ⴝ 7.26 rⴚ 275 ⴝ 180 yⴚ 12 ⴝ 78 zⴙ 250 ⴝ ⴚ100 ⴚ44 ⴙ a ⴝ 10 yⴙ 80 ⴝ ⴚ18 45ⴙ r ⴝ 12 xⴙ 14 ⴝ ⴚ25 xⴚ 10 ⴝ 15 xⴙ 4 ⴝ ⴚ4 xⴚ 3 ⴝ 4 xⴙ 5 ⴝ ⴚ2 xⴚ 3 ⴝ ⴚ1 xⴙ 1 ⴝ ⴚ8 xⴚ 4 ⴝ ⴚ1 xⴙ 3 ⴝ ⴚ2 xⴚ 7 ⴝ 1 xⴙ 1 ⴝ 5 Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

3.1 Solving Equations by Adding and Subtracting

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State the property needed to solve each equation. Then solve it.

1. 2.

3. 4.

5. 6.

7. 8.

Solve each equation.

9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32.

Solve each formula for the variable indicated.

33. for b 34. for w 35.vⴝd for d

t zⴝ wxy Aⴝ1₂bh ⴚ495 ⴝ 99y ⴚ1 ⴝ_ⴚ555p w 0.5ⴝ ⴚ15 0.25qⴝ 25 10dⴝ3₅ ⴚ480 ⴝ ⴚ24z x ⴚ2ⴝ ⴚ125 ⴚ4v ⴝ 68.8 16nⴝ 320 4.4ⴝ 2.2t x 6ⴝ ⴚ3 m ⴚ15 ⴝ 0 ⴚ86b ⴝ 43 b 20ⴝ ⴚ20 ⴚ70g ⴝ 4200 0.66pⴝ 4.62 8tⴝ ⴚ35 x 0.07ⴝ 5 c 44ⴝ ⴚ44 9yⴝ 153 x 3ⴝ ⴚ24 65xⴝ 35 ⴚ4g ⴝ 36 658bⴝ 2632 ⴚ16n ⴝ ⴚ128 ⴚ10y ⴝ 5 r ⴚ5ⴝ 5 6bⴝ 54 x 3ⴝ 3 8ⴝ ⴚ64y 5.75pⴝ 46 x 36ⴝ 6 Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

3.2 Solving Equations by Multiplying and Dividing

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Solve each equation. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34.21 6 ⴚ h 18ⴝ 1 3 1 4ⴝ g 2ⴚ 1 8 ⴚ2₃ⴝ ⴚ₆f ⴙ 11₂ 11₃ⴙv₂ⴝ 21₂ ⴚu₈ ⴚ 0.8 ⴝ 3.2 m 12ⴚ 2.1 ⴝ 0.9 r 10ⴙ 1.1 ⴝ 0.2 4ⴚq₇ⴝ ⴚ3 2ⴙp₂ⴝ ⴚ9 a 5ⴚ 2 ⴝ ⴚ7 b 9 ⴙ 3 ⴝ ⴚ4 10ⴝ ⴚ30 ⴚ₅c 28ⴝ 14 ⴚw₇ 3ⴙz₃ⴝ 6 y 2ⴚ 4 ⴝ 10 x 2ⴙ 1 ⴝ 5 ⴚ2.1 ⴝ 4.5 ⴚ 6i ⴚ1.6 ⴝ 4 ⴙ 7h 6ⴝ 9g ⴚ 12 32ⴝ 8f ⴙ 16 ⴚ8u ⴚ 1.6 ⴝ 8 37ⴚ 4v ⴝ 57.4 3.1ⴙ 2n ⴝ 5.3 7mⴚ 1.2 ⴝ 3 3rⴙ 3.2 ⴝ 18.2 21ⴚ 5q ⴝ ⴚ4 11ⴙ 2p ⴝ ⴚ17 3aⴚ 7 ⴝ ⴚ28 9bⴙ 4 ⴝ ⴚ14 ⴚ15 ⴚ 6c ⴝ 3 7ⴚ 5w ⴝ 22 6ⴙ 3z ⴝ 18 2yⴚ 4 ⴝ 10 2xⴙ 1 ⴝ 5 Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

3.3 Solving Two-Step Equations

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Practice

3.4 Solving Multistep Equations

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1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42.1 4(7ⴙ 3r) ⴝ ⴚ 1 8r 2

(

1₃wⴙ1₄

)

ⴝ 4 ⴙ1₃w a 2 ⴚ 1 3ⴝ a 3 ⴚ 1 2 1 3zⴝ 3z ⴚ 4 5 1 4yⴝ 2 5yⴚ 1 1 2xⴙ 7 ⴝ 3 4xⴚ 4 xⴚ 0.09 ⴝ 2.22 ⴚ 0.1x 4.5ⴚ 1.9m ⴝ 20.1 ⴚ 2m 3.5( jⴙ 4) ⴝ 1.4(16 ⴙ j) 12ⴙ 2.1w ⴝ 1.3w 2.1zⴝ 1.2z ⴚ 9 0.3wⴚ 4 ⴝ 0.8 ⴚ 0.2w 2(yⴙ 2) ⴙ y ⴝ 19 ⴚ (2y ⴙ 3) 8ⴙ 5(3q ⴚ 4) ⴝ 7(q ⴚ 12) 12ⴚ 5(2w ⴚ 13) ⴝ 3(2w ⴚ 5) 29ⴚ 3s ⴝ 23(2s ⴚ 3) 23xⴙ 34 ⴝ 23 ⴚ 12x ⴙ 7x 14dⴚ 22 ⴙ 5d ⴝ 12d ⴚ 8 9yⴚ 8 ⴙ 4y ⴝ 7y ⴙ 16 2(3xⴚ 1) ⴝ 3(x ⴙ 2) 4yⴙ 2 ⴝ 3(6 ⴚ 4y) 15nⴙ 25 ⴝ 2(n ⴚ 7) 5tⴚ 2(5 ⴙ 4t) ⴝ 3 ⴙ t ⴚ 8 2zⴚ 5(z ⴙ 2) ⴝ ⴚ8 ⴚ 2z 8yⴚ 3 ⴝ 5(2y ⴙ 1) 2rⴚ 4 ⴝ 2(6 ⴚ 7r) 5(3xⴙ 5) ⴝ 4x ⴚ 8 2(xⴙ 1) ⴝ 3x ⴚ 3 mⴚ 12 ⴝ 3m ⴙ 4 5xⴙ 32 ⴝ 8 ⴚ x 28ⴙ 2a ⴝ 5a ⴙ 7 7wⴚ 19 ⴝ 5w ⴚ 5 ⴚ7 ⴚ 3z ⴝ 8 ⴙ 2z 2ⴙ 3y ⴝ 4y ⴚ 1 7ⴚ 5y ⴝ 4y ⴚ 2 13ⴚ 8v ⴝ 5v ⴙ 2 10yⴙ 10 ⴝ 4 ⴚ 4y 5xⴚ 7 ⴝ 3x ⴙ 2 4mⴚ 5 ⴝ 3m ⴙ 7 4aⴚ 6 ⴝ ⴚ2a ⴙ 14 5yⴚ 5 ⴝ 7y ⴚ 3 4xⴙ 7 ⴝ 3x ⴙ 18

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Practice

3.5 Using the Distributive Property

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1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 0.5(4nⴚ 4) ⴝ 1 ⴙ 3n 0.1(2mⴙ 3) ⴚ 4m ⴝ 1.1(2 ⴚ 3m) ⴚ 2.4 34.8kⴙ 0.2(k ⴚ 4) ⴝ 1.2 ⴚ 9(2 ⴚ 3k) 9(2ⴚ j) ⴙ 3(5 ⴙ 2j) ⴝ 2(7 ⴚ 2j) ⴚ 4(j ⴚ 1) 3(iⴚ 3) ⴚ 7(i ⴙ 3) ⴝ 4(2i ⴚ 3) ⴚ 8(2i ⴙ 3)

hⴙ 1 ⴙ 2(h ⴙ 1) ⴝ 3(h ⴙ 2) ⴚ h ⴙ 2 2(3hⴚ 1) ⴙ 4h ⴝ 10(2 ⴚ 3h) ⴙ 38h gⴙ 5(g ⴙ 1) ⴝ 4(2g ⴚ 2) ⴙ 11g 3ⴚ (2 ⴚ f ) ⴙ 1 ⴝ 2(2 ⴚ f ) 1ⴚ 2(e ⴚ 1) ⴝ ⴚ3 ⴚ 4(3 ⴚ 5) 1ⴙ 2(d ⴙ 1) ⴝ 3 ⴙ 4(d ⴙ 5) 2cⴚ (c ⴙ 6) ⴝ 4(c ⴚ 2) 5(bⴚ 6) ⴝ 3 ⴙ 8(b ⴙ 9) 1ⴙ 2(a ⴙ 1) ⴝ 3(a ⴙ 4) 9(zⴙ 1) ⴝ ⴚ3(5 ⴙ z) ⴚ6(y ⴚ 2) ⴝ 7(2 ⴚ y) ⴚ4(1 ⴙ x) ⴝ 5(1 ⴚ x) 2(2wⴙ 2) ⴝ 3(2w ⴚ 2) 2(vⴙ 1) ⴝ 6v ⴚ 46 2uⴚ 4 ⴝ ⴚ4(u ⴚ 5) 7tⴙ 4 ⴝ 2(7t ⴚ 5) sⴙ 3 ⴝ 3(11 ⴚ 3s) 3rⴝ 2(7 ⴙ 5r) 8(7ⴚ 3q) ⴝ ⴚ17q ⴚ2(2p ⴚ 3) ⴝ 2p 5(nⴙ 2) ⴝ 3n 20ⴚ 3(m ⴚ 1) ⴝ ⴚ4 ⴚ4 ⴚ 6(2 ⴚ k) ⴝ 8 7(2ⴚ j) ⴚ 5 ⴝ 30 3(5iⴚ 2) ⴙ 2 ⴝ 26 1ⴙ 4(2h ⴙ 1) ⴝ ⴚ35 ⴚ8(8 ⴚ g) ⴝ 8 ⴚ7(f ⴙ 7) ⴝ 7 6(6ⴚ e) ⴝ 6 5(5ⴚ d) ⴝ ⴚ5 4(cⴚ 4) ⴝ 4 3(bⴚ 3) ⴝ 3 2(aⴙ 2) ⴝ 2

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Practice

3.6 Using Formulas and Literal Equations

NAME CLASS DATE

Solve for the indicated variable.

1. , for y 2. , for Q 3. , for J 4. , for F 5. , for n 6. , for w 7. , for u 8. , for z 9. , for d 10. , for h 11. , for r 12. , for b 13. , for m 14. , for k 15. , for g 16. , for t 17. , for w 18. , for p

Use the formula for Exercises 19–21.

19.Substitute , and in the formula, and solve for V. 20.Substitute , and in the formula, and solve for d. 21.Substitute , and in the formula, and solve for s.

22.Substitute , and in the formula, and solve for V. 23.Substitute , and in the formula, and solve for R. 24.Substitute , and in the formula, and solve for I.

25.Substitute , and in the formula, and solve for v. 26.Substitute vⴝ 28, and tⴝ 5in the formula, and solve for u.

tⴝ 4 uⴝ 16 vⴝ u ⴙ 10t Rⴝ 60 Vⴝ 240 Vⴝ 15 Iⴝ 5 Rⴝ 10 Iⴝ 5 Vⴝ IR dⴝ 7 Vⴝ 8 Vⴝ 5 sⴝ 25 dⴝ 5 sⴝ 10 Vⴝ_ds 4ⴚp_q ⴝ r 2 wⴚ y ⴝ z rⴙs_tⴝ u 6g f ⴝ h 7ⴚ 4k ⴝ j 2mⴙ 3 ⴝ n ab c ⴝ d pⴝq_r ghⴚ i ⴝ j bⴝ c ⴙ de xⴝ yz ⴚ w tuⴝ v ⴙ w ⴚwr ⴝ a mⴝ nq Eⴚ F ⴝ G Jⴙ K ⴝ ⴚL Pⴚ Q ⴝ ⴚR xⴙ y ⴝ z

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Practice

4.1 Using Proportional Reasoning

NAME CLASS DATE

Solve each proportion.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

Tell if each statement is a true proportion.

13. 14. 15.

16. 17. 18.

19. 20. 21.

Rearrange the numbers to write three more true proportions.

22. 23.

24. 25.

26. 27.

28.If Dana spent $160 on 5 concert tickets, how much would 3 tickets

cost?

29.Myron bought 4 oranges for $1.40. How much would 9 oranges

cost?

30.A recipe uses 2 cups of flour and makes 24 muffins. How many cups

of flour are needed to make 30 muffins?

42 36ⴝ 35 30 8 3ⴝ 40 15 32 18ⴝ 48 27 6 21ⴝ 8 28 7 12ⴝ 14 24 4 5ⴝ 12 15 9 12ⴝ 21 28 19 30ⴝ 9.5 15 32 42ⴝ 20 21 7 18ⴝ 21 6 13 24ⴝ 11 35 10 60ⴝ 25 150 9 32ⴝ 12 40 7 25ⴝ 3.5 50 14 3 ⴝ 70 15 7 16.6ⴝ n 14 r 85ⴝ 1.5 30 50.9 16 ⴝ 3 j n 35.2ⴝ 14 25.8 15 90.5ⴝ 25 x 45.2 30 ⴝ f 12 1.5 6 ⴝ 8 r m 35ⴝ 12 100 40.5 t ⴝ 5 6 n 26ⴝ 15 78 30 27ⴝ 90 x 12 18ⴝ x 36

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Practice

4.2 Percent Problems

NAME CLASS DATE

Write each percent as a decimal.

1.15% 2.3.2% 3.0.7% 4.6%

5.250% 6.89% 7.100% 8.0.01%

Write each decimal as a percent.

9.0.62 10.0.041 11.0.002 12.5

Write each percent as a fraction in lowest terms.

13.59% 14.25% 15.56% 16.360%

Draw a percent bar to model each problem.

17.Find 45% of 90. 18.What percent of 30 is 3?

Find each answer.

19.What is 20% of 30? 20.What is 120% of 70? 21.3 is what percent of 50? 22.45 is what percent of 500? 23.15 is 30% of what number? 24.12 is 40% of what number? 25.What is 200% of 40? 26.What is 28% of 130?

27.A sweater is marked down from an original price of $45 to $33.75.

By what percent has the original price of the sweater been marked down?

28.Mary’s grade on her research paper counts as 20% of her final

grade in English. If there are a total of 400 points possible, how many points can she earn for her research paper?

29.The school newspaper reported that 32% of the student body is in

athletics. If the student body consists of 2000 students, how many students are in athletics?

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Practice

4.3 Introduction to Probability

NAME CLASS DATE

Two number cubes were rolled 150 times. Find each experimental probability.

1.a sum less than 4 appeared 15 times 2.a sum of 7 appeared 11 times

3.a sum of 6 or greater appeared 85 times

Two coins were tossed 10 times with the outcomes shown in the table below.

Use the data above to find each experimental probability.

4.At least one coin shows tails.

5.Both coins show the same side of the coin. 6.Neither coin shows heads.

A survey was conducted to find out how students get to school. The results of the survey are shown in the table below.

Use the the data above to find each experimental probability.

7.A student rides a bus to school. 8.A student walks to school.

9.A student rides to school in a car or in a bus. 10.A student rides a bicycle or walks to school. 11.A student does not walk to school.

Trial 1 2 3 4 5 6 7 8 9 10

Coi n 1 H H T T H T H H T T

Coin 2 T T T H T H H T H T

Method of transportation School bus Car Bicycle Walk

Number of students 87 71 25 45

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Practice

4.4 Measures of Central Tendency

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Find the mean, median, mode(s), and range for each data set.

1.13, 13, 10, 8, 7, 6, 4, 5

mean median mode(s) range

2.20, 30, 35, 24, 36, 47, 48

3.2, 5, 4, 1, 6, 7, 4, 3, 2, 1

4.130, 140, 135, 125, 160, 175

5.16, 18, 39, 200, 31, 39

The Sleep Shop conducted a survey to determine the average number of hours that people sleep at night. The results are shown at right. Use this data for Exercises 6–12.

6.Make a frequency table for the data.

Find the measures of central tendency for the data.

7.mean 8.median 9.mode 10.range

11.Which measure of central tendency do you think gives the best

indication of the number of hours the “typical” person spends sleeping each night? Explain.

12.Suppose that another person was surveyed and said that he spends

3 hours sleeping at night. How would this affect the mean, median, mode, and range?

Number of Hours Spent Sleeping at Night 5 8 6 7 4 9 8 7 5 9 8 10 7 7 8 6 8 8 7 8 9 8 7 5 9 10 7 8 8 6

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Practice

4.5 Graphing Data

NAME CLASS DATE

The graphs below show the monthly CD sales for two different music stores.

Carl’s Music Place The Music Store

Monthly CD Sales Monthly CD Sales

1.During which month were the sales at Carl’s Music Place the

greatest? What were the sales?

2.During which month were the sales at Carl’s Music Place the least?

What were the sales?

3.During which month were the sales at The Music Store the greatest?

4.During which month were the sales at The Music Store the least?

5.What were the CD sales for Carl’s Music Place for January through

May?

6.What were the CD sales for The Music Store for January through

May?

7.Which store appears to have a longer bar to represent April sales?

Which company actually had greater sales in April?

8.Describe how displaying the graphs together can be misleading.

J F M A M $20,000 $15,000 $10,000 $5000 $0 J F M A M $40,000 $30,000 $20,000 $10,000 $0

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Practice

4.6 Other Data Displays

NAME CLASS DATE

In the table at right are the ages of the first 42 presidents of the United States when they were sworn into office.

1.In the space below, make a stem-and-leaf plot

of the data.

2.What is the range of the data? 3.What is the median of the data?

4.What are the lower and upper quartiles for this data? 5.What is the mean of the data?

6.What is the mode of the data?

7.What is the average age of a president of the United States when he

is sworn into office? What measure of central tendency do you think best answers this question? Why?

8.In the space below, construct a box-and-whisker plot for this data.

57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 46

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Practice

5.1 Linear Functions and Graphs

NAME CLASS DATE

For each relation, identify the domain and range, and state whether it is a function. 1.(1, 2), (3, 4), (5, 6), (7, 8), (9, 13) 2.(6, 3), (9,ⴚ4), (8, ⴚ4), (3, 3), (0, 3) a. domain: a. domain: b. range: b. range: c. c. 3.(7, 1), (10, 7), (0, 8), (2, 17), (7, 3) 4.(14, 2), (16, 0), (18,ⴚ2), (20, 0), (22, 2) a. domain: a. domain: b. range: b. range: c. c. 5.(1.7, 7), (1.5, 5), (1.3, 3), (1.1, 1), (1.9, 9) 6. a. domain: a. domain: b. range: b. range: c. c. 7.(4, 2), (9, 3), (4,ⴚ2), (9, ⴚ3), (5, 25) 8.(1.2, 17), (1.56, 1987), (0.67, 98), (0.988, 1) a. domain: a. domain: b. range: b. range: c. c.

Complete each ordered pair so that it is a solution to .

, (1, 1)

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Practice

5.2 Defining Slope

NAME CLASS DATE

Examine the graphs below. Which lines have a positive slope? Which have a negative slope? Which have neither?

1. 2. 3. 4.

Use the graph to find the slope of each line.

5.AB↔ 6.CD↔

7.EF↔ 8.GH↔

9.↔IJ 10.KL↔

11.MN↔ 12.PQ↔

Find the slope of each line.

13.rise:ⴚ5; run: ⴚ5 14.rise: 2; run: 3

15.rise:ⴚ3; run: 4 16.rise:ⴚ2; run: ⴚ5

Find the slope of the line containing each pair of points.

17.A(3, 9), B(1, 5) 18.A(7, 5), B(2, 4) 19.A(ⴚ3, 10), B(ⴚ5, ⴚ4) 20.A(5, 2), B(2,ⴚ1) 21.A(3,ⴚ2), B(ⴚ1, 3) 22.A(ⴚ1, 3), B(5, 3) 23.A(1, 8), B(ⴚ1, 7) 24.A(2, 6), B(3,ⴚ4) 25.A(0, 4), B(3,ⴚ2) 26.A(6,ⴚ1), B(5, 6) 27.A(ⴚ9, 9), B(7, ⴚ2) 28.A(3, 7), B(ⴚ1, 0) x y x y x y x y x y A B C D E F G H I J K L M N P Q O

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Practice

5.3 Rate of Change and Direct Variation

NAME CLASS DATE

The graph at right shows the speed at which Michael traveled on a highway.

1.What was the greatest speed that Michael traveled ?

2.What does the horizontal segment of the graph

represent? How long does Michael stay at this speed?

3.What does the segment with a negative slope tell you

about Michael’s speed?

4.What does the segment with a positive slope tell you about Michael’s speed?

In Exercises 1–10, y varies directly as x. Find the constant of variation and write an equation for the direct variation.

5. when 6. when 7. when 8. when 9. when 10. when 11. when 12. when 13.yⴝ 12when xⴝ 22 xⴝ 56 yⴝ 8 xⴝ 7 yⴝ 42 xⴝ 18 yⴝ 21 xⴝ 11 yⴝ 18 xⴝ 1.4 yⴝ 7 xⴝ 3 yⴝ 9 xⴝ 8 yⴝ 2 xⴝ 5 yⴝ 15 20 0 5 10 15 20 25 30 35 40 45 50 55 60 65 40 60 Time (minutes) Speed (mph) 80 100 120

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Practice

5.4 The Slope-Intercept Form

NAME CLASS DATE

Give the coordinates of the point where each line crosses the y-axis.

1. 2.

3. 4.

Write an equation for the graph of each line.

5. 6.

Write an equation for each line.

7.with a slope of 2 and a y-intercept of 4 8.with a slope ofⴚ3 and a y-intercept of 1 9.through (0,ⴚ4) and with a slope of 2 10.through (0, 6) and with a slope of

11.with a slope of and a y-intercept ofⴚ3 12.through (0, 1) and with a slope of 1.5

Write an equation for the line containing each pair of points.

13.(3, 8), (2, 6) 14.(0, ), ( , 3) 15.(ⴚ2,ⴚ4), (5,ⴚ1) 16.(ⴚ1,ⴚ2), (ⴚ3,ⴚ4) ⴚ3 ⴚ6 ⴚ3₄ 1 2 x O y 6 2 4 4 2 6 –2 –2 –4 –6 –4 –6 x O y 6 2 4 4 2 6 –2 –2 –4 –6 –4 –6 yⴝ 2 ⴚ x yⴝ1₂x yⴝ 2x ⴚ 3 yⴝ 3x ⴙ 4

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Practice

5.5 The Standard and Point-Slope Forms

NAME CLASS DATE

Write each equation in standard form.

1. 2.

3. 4.

5. 6.

Find the x- and y-intercepts for each equation.

7. 8.

9. 10.

11. 12.

13. 14.

15. 16.

Use intercepts to graph each equation.

17. 18.

Write an equation in standard form for each line.

19.through (4, 5) and with a slope of 1

20.crosses the x-axis at and the y-axis at 21.through (1, 6) and with a slope of 2

22.through (3, 7) and (0,ⴚ2) yⴝ 6 xⴝ ⴚ3 x O y 2 2 4 4 –2 –2 –4 –4 x O y 3 4 2 1 2 4 3 1 –1 –2 –1 –2 –3 –4 –3 –4 xⴚ 2y ⴝ 2 2xⴚ y ⴝ ⴚ4 xⴝ ⴚ6y ⴚ 2 x 4ⴚ y ⴝ 2 xⴝ2₃y 2xⴙ y ⴝ 1 4xⴝ ⴚ5y xⴚ y ⴝ ⴚ3 xⴚ 3y ⴝ 6 4xⴚ 3y ⴝ 12 3xⴙ 5y ⴝ 15 xⴙ y ⴝ 5 2xⴝ1₂yⴙ 3 2xⴙ 10 ⴝ 3y ⴚ 1 9xⴝ 6y 4xⴚ 7y ⴙ 15 ⴝ 0 3yⴝ ⴚx ⴚ 20 2xⴝ ⴚ5y ⴙ 11

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Practice

5.6 Parallel and Perpendicular Lines

NAME CLASS DATE

Write the slope of a line that is parallel to each line.

1. 2.

3. 4.

5. 6.

7. 8.

Write the slope of a line that is perpendicular to each line.

9. 10.

11. 12.

13. 14.

15. 16.

Write an equation in slope-intercept form for a line containing the

point (6, ⴚ2) and

17.parallel to the line .

18.perpendicular to the line .

Write an equation in slope-intercept form for a line containing the

point (ⴚ6, 5) and

Write an equation for a line containing the point (ⴚ3, 2) and

Write an equation for the line that contains the point (ⴚ1, 2) and is

23.parallel to the line . 24.perpendicular to the line yⴝ ⴚx.

yⴝ x ⴚ 6 yⴝ ⴚ4 yⴝ ⴚ4 3xⴚ 4y ⴝ ⴚ8 xⴙ 2y ⴝ 6 yⴝ ⴚ3x ⴙ 4 2xⴙ y ⴝ 5 2yⴝ ⴚ2x ⴚ 8 yⴝ1₃xⴙ 2 5xⴚ 4y ⴝ 12 xⴙ 7y ⴝ ⴚ21 6xⴚ y ⴝ 14 xⴙ y ⴝ 7 yⴝ ⴚ1₅xⴚ 3 yⴝ 4x ⴙ 6 xⴙ 2y ⴝ 14 4xⴙ y ⴝ 3 2xⴚ 3y ⴝ 9 xⴙ 2y ⴝ 6 5xⴚ y ⴝ 11 3xⴙ y ⴝ 10 yⴝ ⴚx ⴙ 2 yⴝ 2x ⴚ 5

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Practice

6.1 Solving Inequalities

NAME CLASS DATE

State whether each inequality is true or false.

1. 2. 3.

4. 5. 6.

7. 8. 9.

Solve each inequality.

10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21.

Write an inequality that describes the points on each number line. 22. 23. 24. 25. 26. 27. 28. –8 –6 –4 –2 0 2 4 6 8 x –8 –6 –4 –2 0 2 4 6 8 x –8 –6 –4 –2 0 2 4 6 8 x –8 –6 –4 –2 0 2 4 6 8 x –8 –6 –4 –2 0 2 4 6 8 x –8 –6 –4 –2 0 2 4 6 8 x –8 –6 –4 –2 0 2 4 6 8 x 2 5 t ⴚ 7 10 5 6 x ⴙ 2 3 yⴙ3₄ 1₈ 3.35 ⴚ4.85 ⴙ n xⴙ 4.9 0.45 0.75 ⴚ0.5 ⴙ d xⴙ 0.8 1 qⴚ1₃ 3 cⴙ1₂ 1 8ⴙ y ⴚ1 tⴚ 5 ⴚ2 xⴙ 5 ⴚ3 3 ⴚ8 ⴙ 11 12 9 ⴚ 10 7ⴚ 9 1 8 6 ⴚ 4 ⴚ4 ⴚ 2 4 ⴚ1 ⴙ 2 3 ⴚ1 5 ⴚ 6 ⴚ1 ⴚ 1 0 5 8 ⴚ 2

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Practice

6.2 Multistep Inequalities

NAME CLASS DATE

Write an inequality that corresponds to each statement.

1.x is less than y. 2.W is greater than B.

3.a is less than or equal to 10. 4.x is greater than or equal to 100.

5.r is positive. 6.q is nonnegative.

7.M cannot equal 0. 8.V is between 4.5 and 4.6 inclusive.

Tell whether each statement is true or false.

9. 10. 11.

12. 13. 14.

15. 16. 17.

Solve each inequality.

18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37.14 4 ⴚj 3 16ⴙm₂ 9 7ⴚ x 3 ⴚ5x 2x ⴚ 6 xⴚ 1 ⴚ5 xⴙ 3 8 ⴚ x 6xⴚ 2 4 ⴚx 5 ⴙ 4 ⴚ1 x 4ⴙ 7 10 ⴚ5t 45 r ⴚ2 7 n 5 20 2x 6 3.5b ⴚ7 xⴙ 12 10 6x ⴚ12 7ⴚ N 16 Tⴚ 5 8 mⴚ 10 50 xⴙ 3 4 ⴚ6 ⴚ4 ⴚ5 ⴚ2 1 7 1 5 0 ⴚ1 8.91 8.901 1 2 1 3 10.2 10.02 9.66 9.606 6.9 6.9

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Solve each compound inequality. 1. and 2. or 3. and 4. or 5. and 6. or 7. and 8. or 9. and 10. or

Graph each compound inequality.

11. or 12. or 13. 14. 15. or 16. or 17. or 18. ⴚ1 x 2 7 x 8 x 2 x ⴚ4 x ⴚ7 x ⴚ8 x 0 x ⴚ4 ⴚ6 x 6 ⴚ5 x 4 x ⴚ2 x ⴚ5 x 6 x 4 2kⴙ1₂1₂ 6kⴚ 1 2 3w 2 ⴙ 1 2 3wⴚ 2 3 xⴚ 11 7 x 2ⴙ 1 7 6xⴙ 4 16 2xⴚ 1 1 2xⴚ 2 3 x 4 1 16 x 6 ⴚ1 3 x 8 1 2 aⴙ 1 0 aⴙ 4 1 3x 9 x 2 4 2m 8 3m 9 2ⴙ p ⴚ5 4p ⴚ2 Copyright © by Holt, Rinehart and Winston. All rights reserved.

Practice

6.3 Compound Inequalities

NAME CLASS DATE

0 2 4 6 8 x –2 –4 –6 –8 0 2 4 6 8 x –2 –4 –6 –8 0 2 4 6 8 x –2 –4 –6 –8 0 2 4 6 8 x –2 –4 –6 –8 0 2 4 6 8 x –2 –4 –6 –8 0 2 4 6 8 x –2 –4 –6 –8 0 2 4 6 8 x –2 –4 –6 –8 0 2 4 6 8 x –2 –4 –6 –8 x

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ⱍ

5ⴚ 29

ⱍ

13ⴚ 13

ⱍ

13ⴚ 19

ⱍ

ⴚ19 ⴚ 13

_ⱍ

_ⱍ

_ⱍ

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Find the values of x that solve each absolute-value equation. Check your answers.

1. 2.

3. 4.

Practice

6.5 Absolute-Value Equations and Inequalities

NAME CLASS DATE

–12 –16 –8 –4 0 4 8 12 16 –6 –8 –4 –2 0 2 4 6 8 –6 –8 –4 –2 0 2 4 6 8 –6 –8 –4 –2 0 2 4 6 8 –6 –8 –4 –2 0 2 4 6 8 –2 –4 0 2 4 6 8 10 12 –6 –8 –4 –2 0 2 4 6 8 –6 –8 –4 –2 0 2 4 6 8 –6 –8 –4 –2 0 2 4 6 8

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Solve by graphing. Round solutions to the nearest tenth if necessary. Check algebraically.

1. 2. 3.

4. 5. 6.

Use algebra to determine whether the point (1, 4) is a solution for each pair of equations.

7. 8. 9.

Use algebra to determine whether the point (ⴚ2, 6) is a solution for each pair of equations.

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Solve and check each system by using the substitution method. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16.

Graph each system and estimate the solution. Then use the substitution method to get an exact solution.

Practice

7.2 The Substitution Method

NAME CLASS DATE