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

x+(−8)<−4

x < -4.0

300

4x > 24

x > 6

400

m/3 ≤ 12

m ≤ 36

500

-4x > 12

x > -0.29

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

Integers

100

1/2x + 3 > 5

x > 4

200

5/9x + 4 < 6

x < 3.6

300

(7/8)x + 6 > 10

x > 4.57

400

(2/7)x + 2 <= 4

x <= 7

500

(6/11)x - 7 >= -2

x >= 9.17

Word Problems

100

Ella wants to earn more than $450 this month. She already made $150 and earns $15 per hour at her job. How many more hours does she need to work to meet her goal?

x>20

200

Luis is training for a marathon. He needs to run at least 50 miles this week. So far, he has run 18 miles, and he plans to run 4 miles per day for the rest of the week. How many more days does he need to run?

x≥8

300

Audrey is selling cupcakes at $3 each for a fundraiser. She already earned $20, and she wants to earn at least $80. How many more cupcakes does she need to sell?

x≥20

400

A shipping company requires that the weight of a package does not exceed 100 pounds. A box already weighs 30 pounds, and each item added to the box weighs 8 pounds. How many items can be added to stay within the weight limit?

x≤8.75

500

A rental car company charges a $50 base fee plus $0.25 per mile driven. If Sarah has at most $100 to spend on the rental, how many miles can she drive?

x≤200