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

Solve and graph

-x + 7 < 8

x > -1

200

Solve and graph

b - 9 ≥ -20

b ≥ -11

300

Solve and graph

-4x > 24

x < -6

400

Solve and graph

m/3 ≤ 12

m ≤ 36

500

Solve and graph

-1.6x < 27.2

x > -17

Multi-Step Inequalities

100

Solve and graph

3x - 1 ≥ 14

x ≥ 5

200

Solve and graph

-x/2 - 4 < 10

x > -28

300

Solve and graph

-6(x + 3) > -30

x < 2

400

Solve and graph

-6x-3(x - 2)>-21

What is x<3

500

Solve and graph

9 < 3.8x - 1.8(2+(-x))

What is x>2.25

Describe the 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. Over the weekend she received some money for cleaning. She now has over $32.00. How much money did she get for cleaning?

x + 22.50 > 32 x > 9.50

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?

4.5x ≤ 18 x ≤ 4