Translation
One-Step Inequalities
Multi-Step Inequalities
Modeling Inequalities
Miscellaneous
100

Seven more than four times a number is less than six.

What is 4x + 7 < 6?

100

Solve: m + 5 > -3

What is m > -8

100

Solve: 5 ≤ v - 4 - 7

What is v ≥ 16 (or 16 ≤ v)

100

If Rosa's age is represented by R, write the inequality that represents the statement "Rosa is at most 29 years old"

What is R ≤ 29?

100

Employees must work at least 20 years in a company to receive full benefits upon retirement. Write an inequality to describe this situation.

What is y ≥ 20.

200

The sum of three times x and eleven is greater than or equal to forty.

What is 3x + 11 ≥ 40?

200

Solve: -7b > 42

What is b < -6?

200

-5 < 3m - 10 - 2m

What is m > 5 (or 5 < m)

200

Jeremy is hosting a Halloween party for 80 children. He will give each child at least one candy bar. If each bag of candy contains 18 candy bars, what is the inequality that can be used to determine how many bags, c, Jeremy will need to buy?

What is 18c ≥ 80?

200

True/False: 0 is a solution to 2y + 1 < -3

What is false? 1 > -3

300

Four times the difference of a number and five is greater than nine.

What is 4(x - 5) > 9?

300

Solve: t + 3/8 ≤ -1/8


What is t ≤ -1/2?


300

Solve: -3(2n + 1) > 9

What is n < -2

300

Ms. Kim needs to get her roof repaired but wants to keep the cost under $500. The roofing company charges $150 for materials, and the labor costs an additional $50 per hour. Write an inequality that represents the maximum number of hours the roofer can work without going over Ms. Kim's budget?

150 + 50h ≤ 500

300

If five times a number is less than 55, find the greatest possible integer value for that number.

What is 10? 

400

The quotient of x and 3 is less than or equal to 5.

What is ( x/3 ) ≤ 5?

400

Solve: b/3 ≥ -2

What is b ≥ -6

400

Solve: 2y - 5 > 9 + 3y

What is y < -14? (or -14 > y)

400

Which is a solution for the following inequality?
2x + 5 > 11

a) 2
b) 10
c)-5
d)3


b) 10

400

An online music club has a one-time registration fee of $13.95 and charges $0.49 to buy each song. If Emma has $50.00 to join the club and buy songs, find the maximum number of songs she can buy.

What is 73 songs?

500

Three-fourths times the sum of twice a number and three is greater than 16.

What is 3/4(2x + 3) > 16?

500

Solve: -3n/5 ≥ -9

What is n ≤ 15

500

A rectangular garden has a width of 8 feet. The perimeter of the garden must be no more than 60 feet. Write an inequality to represent the possible lengths (in feet) of the garden.

16 + 2w ≤ 60

500

Which value is a solution of the following inequality?
9x - 4x +4 ≤ 36 -12

a) -156
b) 5
c) -1
d) 14

a) -156
500

Jason’s part-time job pays him $155 a week. If he has already saved $375, write the minimum number of weeks he needs to work in order to have enough money to buy a dirt bike for $900.

What is 4 weeks?