Infinite Algebra 1 - Mid-Chapter 5 Review

Algebra 1

Name___________________________________ ID: 1

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Mid-Chapter 5 Review

Date________________ Period____

Draw a graph for each inequality. 1) -5 £ b

2) r < 2

1 2

-3

-2

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

-1

0

1

2

3

3) p < -2.9 -4

-3

-2

-1

0

1

2

3

4

Write an inequality for each graph. 4)

5) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Solve each inequality and graph its solution. 6) -10( x + 6) < 130 -22

-20

8) 10 +

x

18

-20

-18

7) 52 ³ 3v + 10 -16

-14

9)

<9 -18

-16

-14

-12

-10

-8

10 11 12 13 14 15 16 17 18 19

x+9

7

<4

15 16 17 18 19 20 21 22 23 24 25

10) -5k + 4k £ 8 -12

9

-12

11) -5 x + 5 ³ -5 x -6

-4

-2

-3 -2 -1

0

1

2

3

4

5

6

7

Worksheet by Kuta Software LLC

-1-

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12) -6(-8n - 2) < -34 + 2n -7 -6 -5 -4 -3 -2 -1

0

1

13) -82 £ 2(8 - 7n) 2

14) -6(6 - 4 p) + 5(-4 p - 3) < -31 -3 -2 -1

0

1

2

3

4

5

6

4

3

5

6

7

8

9

10 11 12 13 14

15) -13n + 2 < -3(n + 1) - 2(5n + 1) -1

7

0

1

2

3

4

5

6

7

8

9

16) Define a variable, write an inequality, and solve each problem.

a. Two thirds of a number plus five is greater than 17.

b. A number decreased by 4 is more than -1.

c. Three times a number increased by 8 is no more than the number decreased by 4.

17) Shoe rental costs $2, and each game bowled costs $3. How many games can Kyle bowl without spending more than $15. A) 3 B) 2 C) 5 D) 4

Worksheet by Kuta Software LLC

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Algebra 1

Name___________________________________ ID: 1

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Mid-Chapter 5 Review

Date________________ Period____

Draw a graph for each inequality. 1) -5 £ b

2) r < 2

1 2

-3

-2

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

-1

0

1

2

3

3) p < -2.9 -4

-3

-2

-1

0

1

2

3

4

Write an inequality for each graph. 4)

5) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

x³4

v<0

Solve each inequality and graph its solution. 6) -10( x + 6) < 130 -22

-20

-18

7) 52 ³ 3v + 10 -16

-14

x

18

-20

9)

<9 -18

-16

-14

-12

7

<4

x < 19

10) -5k + 4k £ 8 k ³ -8

x+9

15 16 17 18 19 20 21 22 23 24 25

x < -18

-12

10 11 12 13 14 15 16 17 18 19

v £ 14

x > -19

8) 10 +

9

-12

-10

-8

11) -5 x + 5 ³ -5 x -6

-4

-2

-3 -2 -1

0

1

2

3

4

5

6

7

{ All real numbers. }

Worksheet by Kuta Software LLC

-1-

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12) -6(-8n - 2) < -34 + 2n -7 -6 -5 -4 -3 -2 -1

0

1

13) -82 £ 2(8 - 7n) 2

5

6

7

8

9

10 11 12 13 14

n£7

n < -1

14) -6(6 - 4 p) + 5(-4 p - 3) < -31 -3 -2 -1

4

3

0

1

2

3

4

5

6

15) -13n + 2 < -3(n + 1) - 2(5n + 1) -1

7

p<5

0

1

2

3

4

5

6

7

8

9

No solution.

16) Define a variable, write an inequality, and solve each problem.

a. Two thirds of a number plus five is greater than 17.

b. A number decreased by 4 is more than -1.

c. Three times a number increased by 8 is no more than the number decreased by 4.

n > 3, n <= -6, n > 18

17) Shoe rental costs $2, and each game bowled costs $3. How many games can Kyle bowl without spending more than $15. A) 3 B) 2 C) 5 *D) 4

Worksheet by Kuta Software LLC

-2-

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