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 saves $50 of her weekly earnings. This week, she wants to have at least $100 in spending money. This inequality represents the fewest number of cars she must wash.
What is 12n - 50 ≥ 100?
Addition and subtraction are called these kind of operations.
What are inverse operations?
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.
What is 49g + 400 ≤ 750?
What is subtract 4 from each side?
Solve for the variable.
5 < 3 + w
What is 2 < w?
Solve for the variable.
-7d + 8 > 29
What is d < 3?
Give 3 solutions of the inequality that make it true.
5 + 2x > 9
What are 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.
What is 50 + 25t ≤ 250?
You must do this to the inequality sign when you multiply or divide by a negative number.
What is reverse the inequality sign?
Solve for the variable.
8 ≤ 2m
What is 4 ≤ m?
Solve for the variable.
12 - 3b < 9
What is b > 1?
Give 3 solutions of the inequality that make it true.
1/5y + 10 ≤ -25
any numbers less than or equal to 175
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.
What is 4a - 25 ≤ 75?
You use this kind of circle on your graph when the inequality has a < or > sign.
What is an open circle?
Solve for the variable.
2 ≤ -1t
What is -2 ≥ t?
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.
What is 22 + 17n ≤ 80?
If -6 > x is the solution to an inequality, which direction would you shade on a number line from -6?
To the left
(rewrite as x < -6)