Free Printable Solving inequalities

Worksheets

Solving inequalities

Total questions: 20

Worksheet time: 30mins

Name

Class

Date

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

≤, ≥

<, >

Match the graph with its inequality.

11 < a

11 > a

11 ≤ a

11 ≥ a

Pick the correct letter for:

6 > x

What are two solutions to
x < 8?

8.6, 7.9

11, 16

0.8, 5.9

12, 7.1

Pick the correct inequality shown in the picture.

Match:
The postal scale will weigh a maximum of 50 lbs.

p < 50

p > 50

p ≤ 50

p ≥ 50

Match:
You must be at least 48 inches tall to ride the bumper cars.

h < 48

h > 48

h ≤ 48

h ≥ 48

Write an inequality
Tom has to have at least 15 people to go to his birthday party

x<15

x>15

x≤15

x≥15

Which sentence represents m > 41?

Mary’s points, m, totaled more than 41

Calvin ran no less than 41 miles, m

The temperature, m, was less than 41°F

The magazines’ cost, m, was not more than $41.

10.

Which graph represents the inequality -2x + 3 < 7 (YOU divided by a negative so you need to flip the inequality sign)

11.

You spend at least 50 minutes practicing football each day. You spent 28 minutes practicing this morning. You want to practice twice as long in the afternoon. How long will you need to practice for?

28 + 2x < 50

28 + 2x > 50

12.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she can spend no more than $35 in all.

.50x + 20 ≥ 35

.50x < 35

.50 + 20x ≤ 35

.50x - 20 = 35

13.

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 and $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

0.85x + 375 > 450

0.85x + 375 < 450

0.85 + 375x > 450

0.85 + 375x < 450

14.

When we multiply or divide an inequality by a negative we ____________.

keep the inequality symbol the same

reverse the inequality symbol

make it equal only

make it less than only

15.

Keldric needs at least 25 calculators
which of these could we choose to give him.

24 calculators

29 calculators

8 calculators

16 calculators

16.

x > 3

x ≤ ⅕

x ≥ 3

x ≤ ⅕

17.

No More Than

≤

≥

18.

what does the number line show

x = 3

x > 3

x < 3

x > 6

19.

What is the inequality for:

There are more than 10 people in my family.

p < 10

p ≤ 10

p > 10

p ≥ 10

20.

$\alpha+57.4\ =\ 80$

137.4

226

674

22.6

100 %

Solving inequalities

Total questions: 20

Worksheet time: 30mins

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