Infinite Algebra 1 - Chapter 5 Study Guide

Algebra 1 part 1

Name___________________________________ ID: 1

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Chapter 5 Study Guide

Date________________ Period____

Solve each inequality and graph its solution. 1) -14 £ a - 14

2) b -

-8 -7 -6 -5 -4 -3 -2 -1

0

1

2

9 31 £ 8 8

-3 -2 -1

3) -12 x > -108 3

4

5

6

7

4) 5 + 8

9

10 11 12 13 1

-12

4

1

2

3

4

5

6

7

5

6

7

8

9

10 11

2

3

4

£6 3

4

6) 4(8v - 3) < -40 + 4v

5) 34 > -6 x - 8 -14

2

m

0

-10

-8

-6

-5 -4 -3 -2 -1

0

1

5

Solve each compound inequality and graph its solution. 7) -5n > 35 or -12

-8

-4

n

9

8) 5 x + 3 £ -22 and x - 6 > -9

³1

-6 -5 -4 -3 -2 -1 0 0

4

8

1

2

3

4

5

6

12

Worksheet by Kuta Software LLC

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9) -91 £ 10 x - 1 < -21 -12

-10

-8

-6

-4

-2

0

10) Drew currently has 31 comic books in his collection. His friend Connor has 58 comic books. How many more comic books does Drew need to add to his collection in order to have a larger collection than Conner? A) no more than 21 B) more than 30 C) at least 28 D) 27

11) Define a variable, write an inequality, and solve the problem. a. The difference of a number and 4 is no more than 8.

b. Nine times a number decreased by four is at least twenty-three.

12) Write a compound inequality for the graph below.

13) A sporting goods store is offereing a $15 coupon on any pair of shoes. The most and least expensive pairs of shoes are $149.95 and $24.95. What is the range of costs for customers with coupons?

Worksheet by Kuta Software LLC

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Answers to Chapter 5 Study Guide (ID: 1) 1) a ³ 0 :

2) b £ 5 : -8

-6

-4

-2

0

2

-2

3) x < 9 :

0

2

4

6

4) m £ 4 : 4

6

8

10

12

5) x > -7 :

2

4

-4

-2

6

8

10

6) v < -1 : -14 -12 -10

-8

-6

-8

-4

0

2

4

7) n < -7 or n ³ 9 : -12

0

4

8

12

8) No solution. : -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

9) -9 £ x < -2 : -12

-10

-8

-6

-4

-2

0

10) C 11) n - 4 <= 8, n <= 12; 9n - 4 >= 23, n >= 3 13) 9.95 <= p <= 134.95

12) x <= -2 or x >= 3

Worksheet by Kuta Software LLC

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