7th Grade Inequalities

Translations

100

What is the symbol for more than?

>

200

What is the symbol for "less than"

<

300

What is the symbol for "no more than?"

≤

400

What is the symbol for "at most"?

≤

500

What is the symbol for "at least"?

≥

One-Step Inequalities

100

x + 7 < 8

x < 1

200

b - 9 ≥ -20

b ≥ -11

300

4x > 24

x > 6

400

m/3 ≤ 12

m ≤ 36

500

-2x < 18

x > -9

Multi-Step Inequalities

100

3x - 1 ≥ 14

x ≥ 5

200

x/2 - 4 < 10

x < 28

300

-5x + 3 > -22

x < 5

400

-6x-3>-15

What is x<2

500

10 < 2 + 8(-x - 5)

-6 > x or x < -6

Solve and Graph

100

x > 9

open circle at 9, pointing right

200

x ≤ 17

closed circle at 17, pointing left

300

x -12 < -4

x < 8, closed circle at 8, pointing left

400

-8x > 32

x < -4, open circle at -4, pointing left

500

1/2x ≥ 4

x ≥ 8, closed circle pointing right

Word Problems

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?

x + 2 > 7 x > 5

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?

x - 5 ≤ 27 x ≤ 32

300

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

8x ≥ 40 x ≥ 5

400

Last Friday Marissa had $22.50. She is planning to save $5 a week to save at least $250 for a new pair of AirPods. How many weeks will she need to save? Write an inequality equation and solve.

5x + 22.50 >= 250, x >= 45.5 (46 weeks)

500

Sylvia set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal? Write an inequality equation and solve.

5w + 60 ≥ 200, w ≥ 28