7th Grade Inequalities

Identify the sign

100

What is the symbol for greater 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

x<2

500

9 < 2+(-x)

-7>x

Translations

100

The sum of a number and 3 is less than or equal to 8

x + 3 ≤ 8

200

The product of a number and 5 is greater than 20

5x > 20

300

A number increased by 8 is greater than 20

x + 8 > 20

400

a number divided by 5 has a minimum value of 9

x/5  ≤   9

500

10 is fewer than the quotient of a number and 4

10 < x/4

Word Problems

100

Niel's airplane needs a full tank of fuel to trave; 2,600 miles. How many tanks of fuel, t, does Niels airplane need to travel no more than 7,800 miles?

Write an inequality to represent this situation.

2,600t ≤ 7,800

200

Daniel needs to learn how to tie at least 35 different knots to earn a badge from his scout troop. He already knows how to tie 18 knots. 

k + 18 ≥ 35

300

Solve for x in the inequality and graph. 

24x-17x ≥ 13x + 15

x ≤ -2.5

400

On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?

Write an inequality to represent this situation.

 350d ≥ 1,400

500

Natalie budgets $146 for yoga training. She buys a yoga mat for $10,65 and pays $9 per yoga class. Write the inequality to represent the number of classes, c, that Natalie can take and stay within her budget. 

146 ≥ 9c + 10.65