One-Step Inequalities
Solve for the variable.
e/2 < 3
What is e < 6?
Solve for the variable.
3x - 5 < 19
What is x < 8?
Give 3 solutions of the inequality that make it true.
4d + 15 ≤ -1
(Any numbers less than -4)
An employee at a car wash earns $12 for each car she washes. She always spends $20 of her weekly earnings on snacks. This week, she wants to have at least $100 in spending money. This inequality represents the fewest number of cars she must wash. (You only need to write the inequality, not solve it)
What is 12n - 20 ≥ 100?
What is Mrs. Cassidy's first name?
Lauren
Solve for the variable.
n - 1 > 3
What is n > 4?
Solve for the variable.
-2x + 12 < -4
What is x > 8?
Give 3 solutions of the inequality that make it true.
r/-6 + 5 < 7
(Any numbers greater than -12)
A video game enthusiast saved $750 to spend on a video game system and games. The game system cost $400. The games cost $49 each. This inequality shows the highest number of games the enthusiast can purchase. (You only need to write the inequality, not solve it)
What is 49g + 400 ≤ 750?
What is Mrs. Cassidy's husband's name?
Dan
Solve for the variable.
5 < 3 + w
(list the variable first)
What is w > 2
Solve for the variable.
-7d + 8 > 29
What is d < -3?
Give 3 solutions of the inequality that make it true.
5 + 2x > 9
(Any numbers greater than 2)
A health-food producer has 250 samples of a new snack to distribute in the mall. The producer has to keep at least 50 samples for display in the health-food store for the product launch. The samples are taken by consumers at a rate of 25 per hour in the mall. This inequality represents the maximum number of hours samples will be available at the mall. (You only need to write the inequality, not solve it)
What is 50 + 25t ≤ 250?
or
25t + 50 ≤ 250
What is Mrs. Cassidy's fat cat's name?
Jaspurr
Solve for the variable.
8 ≤ 2m
(put the variable first)
What is m ≥ 4
Solve for the variable.
12 - 3b < 9
What is b > 1?
Give 3 solutions of the inequality that make it true.
5(y + 10) ≤ -25
(Any numbers less than or equal to -15)
Chet needs to buy 4 works shirts, all costing the same amount. After he uses a $25 gift certificate, he can spend no more than $75. This inequality represents possible costs for a shirt. (You only need to write the inequality, not solve it)
What is 4a - 25 ≤ 75?
What is Mrs. Cassidy's son's name?
Reese
Solve for the variable.
2 ≤ -t
(put the variable first)
t ≤ -2
Solve for the variable.
z/7 - 6 ≥ -5
What is z ≥ 7?
Give 3 solutions of the inequality that make it true.
-3(1 - z) < 9
(Any numbers less than 4)
Lionel wants to buy a belt for $22. He also wants to buy some shirts that are on sale for $17 each. He has $80. This inequality represents how many shirts he can buy. (You only need to write the inequality, not solve it)
What is 22 + 17n ≤ 80?
or
17n + 22 ≤ 80
What is Mrs. Cassidy's skinny cat's name?
Monkey