Free Printable Inequalities

1.

Solve and Graph: 3x - 15 < 120

a)

x<45; graph has an open circle on 45 and an arrow to the left

b)

x<45; graph has an open circle on 45 and an arrow to the right

c)

x<42; graph has a closed circle on 42 and an arrow to the left

d)

x<42; graph has an open circle on 42 and an arrow to the right

2.

9x-6+3x>42

(a)

3.

$7\left(x-1\right)\le35$

(a)

4.

$-3x+4\ge-23$

(a)

5.

Faith has $192 in her savings account. Since she is not using the account, the bank charges a monthly fee of $5. The bank will close the account when the balance goes below $50. Write and solve an inequality to find how many months until the bank closes Faith’s account.

a)

28 months

b)

29 months

c)

12 months

d)

18 months

6.

$2x-50>75$

(a)

7.

15x + 20 > 50

(a)

8.

-4x + 10 < 26

(a)

9.

$3x+70-7x\ge18$

(a)

10.

$18\le-6x-30$

(a)

11.

$4\left(x+2\right)>60$

(a)

12.

$2x+6x-9<39$

(a)

13.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

14.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

15.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

16.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

17.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

18.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

Inequalities

Total questions: 18

Worksheet time: 2hrs 30mins

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