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

9 < 2+(-x)

What is x<-7

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 wants to buy muffins from the bake sale. She has $11 and the muffins costs $2 each. Write an equation using m, for the number of muffins. How many muffins can she buy?

2m<11

Lisa can buy 5 muffins

200

Kevin has $25. MP3 downloads cost $0.75 each. How many songs can he download? Write an inequality to show how many songs they can buy. 

0.75x<25

Kevin can buy at most 33 songs. 

300

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

8x<40

x<5

400

Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?

4+1.5x<25

500

At most, Natasha can spend $50 on Girl Scout Cookies.  Girl Scout Cookies cost $6 per box. She already bought chips for $6. Write an inequality to show how many boxes of cookies Natasha can buy.

What is the maximum number of sandwiches that Idaly can buy? 

x-6<50

Natasha can buy at most 7 boxes of cookies