Translations
One-Step Inequalities
Word Problems
CHALLENGE Word Problems - two step
100
What is the symbol for more than?
>
100

x + 7 < 8

Solve

x < 1

100

Lisa is cooking muffins. The recipe calls for more than 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?

Write an inequality and solve

x + 2 > 7

x > 5

100

A mechanic charges a $50 fee plus $75 per hour. You hope the total cost of repairs will be less than $350.  Write and solve an inequality to represent this.

75x + 50 < 350

x < 4

200
What is the symbol for "less than"
<
200

b - 9 ≥ -20

Solve

b ≥ -11

200

After paying $5.00 for a salad, Taylor has no more than $27.00 left. How much money did she have before buying the salad?


Write an inequality and solve

x - 5 ≤ 27

x ≤ 32

200

Justin joins a gym that charges a $150 starting fee, plus $50 per month. She will quit before she has paid a total of $1000. Write an inequality and solve.

150 + 50x < 1000

x < 17

300
What is the symbol for "no more than?"
300

4x > 24

Solve

x > 6

300

How many t-shirts can Banning buy with at least $40 if each t-shirt costs $8.00?


Write an inequality and solve

8x ≥ 40

x ≥ 5

300

Tyler has no more than $20 to spend at the movies. He spends $8 on his ticket. How many $3 snacks can he buy?

3x + 8 ≤ 20

x ≤ 4

400
What is the symbol for "at most"?
400

m/3 ≤ 12

Solve

m ≤ 36

400

Last Friday Marissa had $22.50. Over the weekend she received some money for cleaning. She now has over $32.00. How much money did she get for cleaning?

Write an inequality and solve

x + 22.50 > 32

x > 9.50

400

There are 48 episodes in the show you are watching.  You binge watched 6 of them yesterday, and you plan on watching at most 3 per day.  What is the least amount of days it will take for you to finish the show?

3x+6 ≥ 48

x ≥ 14

500
What is the symbol for "at least"?
500

18 < 2x

Solve

9<x

500

Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?

Write an inequality and solve

4.5x ≤ 18

x ≤ 4

500

You bring in cookies for the class.  Before you get to school you eat 4 of them.  Each student got at least 2 cookies when they entered class.  If there are 20 students in the class, write an inequality to represent the least amount of cookies that could have been in the box to start.

(x-4)/20 ≥ 2

x ≥ 44