PEMDAS
Inequalities
Mix 1
Mix 2
Word Problems
100

Solve:  

2 + 22 - 1

5

100

Which inequality shows x is less than 3 ? 

a. x > 3 

b. 3 < x 

c. x < 3 

c. x < 3

100

Which expression is equivalent to  3(b+ 4) + 2?

a. 3b + 6

b. 3b + 12

c. 3b + 14

d. 6b + 4

c. 3b + 14

100

What is the least common multiple of 6 and 8? 

a. 14 

b. 24

c. 48 

d. 56

b. 24

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

Which expression represents the algebraic statement?

Three times the difference of a number and 11.

a. 3 x 11 - n

b. 3(n - 11)

c. 3 x n - 11

d. n(3 x 11)

b. 3(n - 11)

200

Find the greatest common factor of 18 and 30. 

a. 3 

b. 6 

c. 9 

d. 12

b. 6

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

Use the replacement set {2, 5, 7} to find the solution to the equation 4n - 9 = 19. 

a. 2 

b. 5 

c. 7 

d. no solution

c. 7

300

A recipe uses 2 tablespoons of oil for every 5 cups of rice. How many tablespoons of oil are needed for 20 cups of rice?

8 tablespoons of oil

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

25% of the books on a shelf are mystery books. If there are 14 mystery books, how many books are on the shelf in all? 

a. 70

b. 56

c. 42

d. 28 

b. 56

400

A movie is t minutes long. The movie is shorter than 120 minutes. Which inequality represents this situation?

a. t > 120

b. 120 > t

c. 120 < t 

d. t = 120

b. 120 > t

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

62 ÷ 9 + (22 x 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

500

Evaluate the expression 2x2 + 4y for 

x = 4 and y = 3.

80

500

Which problem is best represented by the expression 3/4 ÷ 1/6? 

a. A baker has 3/4 cup of sugar and uses 1/6 cup. How much sugar is left? 

b. A pitcher has 3/4 liter of juice. Each glass holds 1/6 liter. How many glasses can be filled?

c. A ribbon is 3/4 meter long. You take 1/6 of it. How long is the piece? 

d. A board is 3/4 meter wide and 1/6 meter long. What is the area?

b. A pitcher has 3/4 liter of juice. Each glass holds 1/6 liter. How many glasses can be filled?

500

Antonia had a total of $180. She purchased a pair of shoes that cost $65 as well as a jacket. She is left with $50. Which equation could be used to find the cost of j the jacket?  

a. 180 + 65 + j = 50 

b. 180 - 65 - j = 50

c. 65 + j = 50 

d. 180 - 50 = j 

b. 180 - 65 - j = 50