Infinite Algebra 1 - WS Inequalities - Compound and Multi-step

Algebra 1

Name___________________________________ ID: 1

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WS Inequalities - Compound and Multi-step

Date________________ Period____

Solve each inequality and graph its solution.

1) -7 + 3x - 2 < 3

2) 8a - 6a > -6

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

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

3) 21 > 3v + 4v

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

5) 0 < 8 - 8n - 8

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

7) 132 < 4(8r + 3) - 8

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

9) -8(-7n + 5) - 1 < 239

-2 -1 0 1 2 3 4 5 6 7 8

4) 5x + 8 - 5x > 8

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

6) 121 < p - 5(1 - 4 p)

3 4 5 6 7 8 9 10 11 12 13

8) 4(3 - 8x) < -180

4 5 6 7 8 9 10 11 12 13 14

10) -138 ? -5(1 - 4n) - n

-10

-8

-6

-4

-2

Solve each compound inequality and graph its solution. Write the solution in interval notation.

11) -6 ? x - 6 ? -12

12) 8 ? 8v < 16

-10 -8

-6

-4

-2

0

2

-3 -2 -1 0 1 2 3 4 5 6 7 8 9

13) x + 4 < -4 or -8x < -32

-10 -8 -6 -4 -2 0 2 4 6 8

x 14) < 0 or -8x ? -64

9

-4 -2 0 2 4 6 8 10 12

15) -82 ? 10x - 2 ? 18

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5

16) -2 < b + 8 < 13

-12 -10 -8 -6 -4 -2 0 2 4 6 8

17) 9 - 2v > -11 and 3 - 8v ? -45

2 3 4 5 6 7 8 9 10 11 12 13 14

18) 6n - 7 ? -43 or 10n + 6 ? -34

-12 -10 -8

-6

-4

-2

19) -9k + 9 < 54 or 4k - 4 ? -32

20) 3a - 2 > 25 or -9 - a ? -4

-14 -12 -10 -8

-6

-4

-2

-10 -8 -6 -4 -2 0 2 4 6 8 10 12

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Algebra 1

Name___________________________________ ID: 1

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WS Inequalities - Compound and Multi-step

Date________________ Period____

Solve each inequality and graph its solution.

1) -7 + 3x - 2 < 3

2) 8a - 6a > -6

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

x < 4

3) 21 > 3v + 4v

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

a > -3

4) 5x + 8 - 5x > 8

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

v < 3

5) 0 < 8 - 8n - 8

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

No solution.

6) 121 < p - 5(1 - 4 p)

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

n < 0

7) 132 < 4(8r + 3) - 8

3 4 5 6 7 8 9 10 11 12 13

p > 6

8) 4(3 - 8x) < -180

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

r > 4

9) -8(-7n + 5) - 1 < 239

4 5 6 7 8 9 10 11 12 13 14

x > 6

10) -138 ? -5(1 - 4n) - n

-2 -1 0 1 2 3 4 5 6 7 8

n < 5

-10

-8

-6

-4

-2

n ? -7

Solve each compound inequality and graph its solution. Write the solution in interval notation.

11) -6 ? x - 6 ? -12

12) 8 ? 8v < 16

-10 -8

-6

-4

-2

0

2

-6 ? x ? 0

13) x + 4 < -4 or -8x < -32

-10 -8 -6 -4 -2 0 2 4 6 8

x < -8 or x > 4

15) -82 ? 10x - 2 ? 18

-3 -2 -1 0 1 2 3 4 5 6 7 8 9

1 ? v < 2

x 14) < 0 or -8x ? -64

9

-4 -2 0 2 4 6 8 10 12

x < 0 or x ? 8

16) -2 < b + 8 < 13

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5

-8 ? x ? 2

17) 9 - 2v > -11 and 3 - 8v ? -45

-12 -10 -8 -6 -4 -2 0 2 4 6 8

-10 < b < 5

18) 6n - 7 ? -43 or 10n + 6 ? -34

2 3 4 5 6 7 8 9 10 11 12 13 14

6 ? v < 10

19) -9k + 9 < 54 or 4k - 4 ? -32

-12 -10 -8

-6

-4

-2

n ? -6 or n ? -4

20) 3a - 2 > 25 or -9 - a ? -4

-14 -12 -10 -8

-6

-4

-2

-10 -8 -6 -4 -2 0 2 4 6 8 10 12

k > -5 or k ? -7

a > 9 or a ? -5

Worksheet by Kuta Software LLC

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