Free Printable 7th 5-4 Solve Inequalities Using Addition and Subtraction

1.

Graph the solutions for x−8 ≥ −3.

a)

b)

c)

d)

2.

Solve x+9 < 12, and then graph the solutions.

a)

b)

c)

d)

3.

Solve the inequality v+20 > 7.

a)

v > -13

b)

v > 27

c)

v < -13

d)

v < 27

4.

Solve the inequality.

p−20 ≤ 10

a)

$p\le30$

b)

$p\le-10$

c)

$p\ge30$

d)

$p\ge-10$

5.

Chris pays a fee if her bank balance falls below $10 on the statement date. Prior to the statement date, her balance was −$3.46. Then, Chris made a deposit d in ample time, so she did not have to pay a fee. Which inequality represents the situation?

a)

$-3.46\ +d\ <10$

b)

$-3.46\ +d\ >10$

c)

$-3.46\ +d\ \le10$

d)

$-3.46\ +d\ \ge10$

6.

Haley solves the inequality −13 ≥ r+7 and graphs the solution on a number line with a solid circle at −20 and an arrow pointing left. Is she correct? Support your answer, and give the correct description if she is incorrect.

a)

No. The result of subtracting 7 from both sides is −20≥r, which is the same as r≤−20. The graph should be an open circle and an arrow pointing left.

b)

No. The result of subtracting 7 from both sides is −20≤r, which is the same as r≥−20. The graph should be an open circle and an arrow pointing right.

c)

No. The result of subtracting 7 from both sides is −20≤r, which is the same as r≥−20. The graph should be a solid circle and an arrow pointing right.

d)

Yes. The result of subtracting 7 from both sides is −20≥r, which is the same as r≤−20. The graph will be a solid circle at −20 and an arrow pointing left.

7.

Beginning from a depth of 35 feet below the surface, a whale can swim upward or downward. If the whale swims upward and breaches the surface of the water, it can jump to a maximum height of 17 feet above the surface. Which inequality represents the situation?

a)

$-35\ +r<17$

b)

$-35\ +r>17$

c)

$-35\ +r\le17$

d)

$-35\ +r\ge17$

8.

Last month, Diego's neighbors paid him to take care of their fish when they went on vacation. He spent $13 of his earnings on a book and $9 on some art supplies. Afterward, he had at most $10 left.

a)

$10<d\ -13-9$

b)

$10>d\ -13-9$

c)

$10\le d\ -13-9$

d)

$10\ge d\ -13-9$

9.

After pitching 6 2/3 innings in his latest game, Barron has pitched more innings than his 82 1/3 innings pitched last season. How many innings might he have pitched before his latest game?

a)

He pitched at least 75 2/3 innings

b)

He pitched more than 75 2/3 innings

c)

He pitched fewer than 75 2/3 innings

d)

He pitched less than 75 2/3 innings

10.

$32\ <15\ +d-6\$

a)

$d<23$

b)

$d>23$

c)

$d<11$

d)

$d>11$

11.

Use the distributive property to solve:

3(x+7) = 27

a)

-1/2

b)

-2

c)

1/2

d)

2

12.

5 = 3w - 10

a)

-5

b)

-2

c)

2

d)

5

13.

(a)

14.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

15.

Use the distributive property to solve:

6(7x+2) = -72

a)

-1/2

b)

-2

c)

1/2

d)

2

7th 5-4 Solve Inequalities Using Addition and Subtraction

Total questions: 15

Worksheet time: 1hrs 6mins

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