7th Grade Inequalities

Vocab

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 -7>x

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

Bethany is going to the county fair with a group of friends. Admission to the fair is $5. Each ride at the fair costs $1.25. If Bethany wants to spend no more than $20, how many rides can she go on to stay within her budget?

5 + 1.25x < or equal to 20

200

Wendy and her three friends are collecting money to help purchase a birthday present for their teacher. Currently, they have raised $10 for the gift. How much money should each person contribute if they want to spend at least $40 on the gift?

4x + 10 > or equal to 40

300

Rory is renting out a room for a birthday party. Rory must pay a flat fee of $150, plus an additional $8 per person. If Rory has $320 to spend, what is the maximum number of people can she invite to her party?

150 + 8x < or equal to 320

400

Mrs. Link's homeroom class wants to win their schools's canned food drive competition. There are 24 students in their class. Currently, they have collected a total of 40 cans. They feel that 250 cans will win the competition. How many cans should each student bring to school to win the competition?

24x + 40 > or equal to 250

500

Sarah is a waitress at her local restaurant. She ears $6.50 an hour, plus tips. Sarah wants a new watch that costs $50. If she averages $20 in tips an evening, how many hours must she work to pay for her watch?

6.50x + 20 > or equal to 50