Free Printable 1-Step Inequalities

1.

Solve.

a)

z ≤ 1

b)

z > 9

c)

z ≤ 9

d)

z < 9

2.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

3.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

4.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

5.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

6.

Solve.

y − 10 > 14

a)

y > 24

b)

y < 24

c)

y > 4

d)

y < 4

7.

Solve
8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

8.

Solve.

\frac{y}{8}

> 2

a)

y > 16

b)

y > -16

c)

y < 4

d)

y > 4

9.

When do you flip the inequality symbol?

a)

when multiplying or dividing by a NEGATIVE

b)

when adding and subtracting a NEGATIVE

c)

we never switch the inequality

d)

When there is a negative in the problem

10.

Solve.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

11.

Which numbers are possible solutions for the inequality numbered below?

(There are multiple answers, choose all that are correct.)

a)

11

b)

13.5

c)

-12

d)

14

12.

Solve and graph.
b - 6 < -15

a)

A

b)

B

c)

C

d)

D

13.

Solve and graph.

p - 11 ≤ -11

a)

A

b)

B

c)

C

d)

D

14.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

15.

What does an open circle mean?

a)

The number is opened.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a shape, all points are equidistant from the center of the circle.

16.

What does a closed circle mean?

a)

It means it is dark.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a circle, all points are equidistant from the center of the circle.

17.

Match the inequality statement with its symbol.

$\ge$

greater than

$>$

no more than

$\le$

at least

$<$

less than

18.

Try some:

-2x ≤ 4

a)

divide by -2 o both sided and your answer will be

x = -2

b)

divide by -2 on both sides and you will switch the direction of the inequality since you are dividing by a negative and your answer will be

x ≥ -2

c)

divide by -2 on both sides and your answer will be

x ≤ -2

19.

- 3x < -12

a)

divide both sides by -3 and your answer is

x < 4

b)

x = 4

c)

divide both sides by -3 and your answer is

x > 4

because you divided by a negative and had to flip the inequality symbol

20.

All items at Pat's Pasta cost more than $10. Which inequality represents this situation?

a)

i < 10

b)

i > 10

c)

i ≤ 10

d)

i ≥ 10

21.

The band practice will be less than 45 minutes long on Friday. Which inequality represents this situation?

a)

p < 45

b)

p > 45

c)

p ≤ 45

d)

p ≥ 45

22.

You have to be taller than 48 inches to ride the roller coaster. Which inequality represents this situation?

a)

r < 48

b)

r > 48

c)

r ≤ 48

d)

r ≥ 48

23.

Match each statement with the correct graph.

y < 6

y > 6

y ≤ 6

y ≥ 6

24.

$8x\ge-32$

a)

$x\ge-4$

b)

$x\ge4$

c)

$x\le-4$

d)

$x\ge4$

25.

Match the following one-step inequalities to their solutions.

$\frac{x}{2}<8$

x < 16

$x+4<7$

x < -8

3x < 21

x < 3

16x < 80

x < 7

$x-4<-12$

x < 5

26.

Twice a number is at most 16

a)

$2x\ge16$

b)

$2x\le16$

c)

$2x>16$

d)

$2x<16$

27.

y + 7 ≥ 12

a)

y ≥ 5

b)

y ≤ 5

c)

y ≥ 19

d)

y ≤ 19

28.

Solve
8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

29.

Which value of x is NOT in the solution set shown on the number line?

a)

-6

b)

-5.3

c)

-4

d)

-4.1

1-Step Inequalities

Total questions: 29

Worksheet time: 2hrs 40mins

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