PEMDAS
Inequalities
Word Problems
100

Solve:  

2 + 2- 1

5

100

Which inequality shows x is less than 3

a. x > 3 

b. 3 < x 

c. x < 3 

c. x < 3

100

A runner reached a speed of 19.6 miles per hour after increasing her speed by 7.8 miles per hour. What was her speed before the increase? 

a. 11.8 miles per hour

b. 12.8 miles per hour

c. 27.4 miles per hour 

d. 9.8 miles per hour

a. 11.8 miles per hour

200

Solve: 

(9-5) x 2 + 3 

11

200

What is the correct solution for the inequality: 

y + 6 > 15 

a. 7 

b. 8 

c. 10

d. 9 

c. 10

200

Jordan needs 7 cups of juice. If 1 cup = 8 fluid ounces, how many fluid ounces of juice does Jordan need? 

56 fluid ounces (fl oz.) 

300

Solve: 

7 + 2 x  6 

55

300

If a represents a student's age, which inequality shows that the student must be younger than 13 to enter the contest? 

a. a > 13 

b. a < 13 

c. a ≤ 13 

d. a ≥ 13

b. a < 13

300

A machine fills 15 bottles in 3 minutes. At the same rate, how many bottles does it fill in 8 minutes? 

a. 30 

b. 24 

c. 45 

d. 40

d. 40 

400

Solve: 

(20 + 11) - 22 ÷ 11

29

400

Which TWO inequalities are true? 

a. -8 > -3 

b. -2 > -7

c. 5 < -1 

d. 0 < -4 

e. -6 < -1

b. -2 > -7 

e. -6 < -1

400

Maya is making bracelets. She plans to use 1/4 of her beads for blue bracelets. She has 36 beads in all. How many beads are NOT blue? 

a. 9 

b. 18 

c. 27 

d. 32 

c. 27

500

6÷ 9 + (2x 2) - 4

8

500

The temperature R, needed for a lab test, is COLDER than -4 degrees. Which inequality is correct? 

a. R > -4 

b. R < -4

c. R ≥ -4 

d. R ≤ -4

b. R < -4