Addition & Subtraction
Multiplication and Division
Multi-step Inequalities
Compound Inequalities
Challenge Word Problems
100
Solve and graph. r+51>32
What is r > -19
100
Solve -12r < 72
What is r > -6
100
Solve -4h + 7 > 15
What is h < -2
100

Solve -1 < p + 3 < 5

-4 < p < 2

100

Write and solve the inequality:

Twice a number minus seven is less than 4

2x - 7 < 4, x < 11/2

200
Solve and graph r+7>-5
What is r>-12
200
Solve -15z > -75
What is z< 5
200
Solve 5 - 6n > -19
What is n < 4
200
Solve -3 < 2k -1 < 5
What is -1< k < 3
200

Write and solve the inequality: 

The quotient of x and -7 is greater than or equal to 10

x/-7 ≥ 10; x ≤ -70

300
Solve and graph 7h≤6h-1
What is h<-1
300
Solve. x/(-12)≤3
What is b>=-36
300
Solve -5x + 3 < 3x + 19
What is x > -2
300

Solve and graph 3w + 8 < 2 or w + 12 > 2 - w

w < -2 or w > - 5, infinitely many sol.

300

Your goal in training for the race is to run more than 50 miles per week. So far this week, you have run 32 miles. Write and solve an inequality that represents the situation

x + 32 ≥ 50; x ≥ 18 miles

400
Solve and graph 5b>4b+5
What is b>5
400
2/3 w>-22
What is w>-33
400
Solve 15b - 12 > 7b + 60
What is b > 9
400

Solve and graph 10 - 2y > 12 and 7y > 4y + 9

y < -1 and y > 3, no solution

400

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel? Write and solve an inequality. 

1.75 + 0.65x ≤ 10; x ≤ 12.69 miles 

500

Define a variable, write and inequality, and solve the problem:“Twenty-one is no less than the sum of a number and negative two”.

What is 21 ≥ n + -2 and n ≤ 23

500
(3/5)p<=-15
What is p<=-25
500

Solve -5(q + 12) < 3q - 4

What is q>-7

500
Write and solve an inequality for the following sentence. Two thirds a number decreased by 27 is less than 9.
What is n >54
500

Write and solve the inequality statement: 

4 times a number plus 6 is greater than 7 or less than 0

4 x + 6 > 7 or 4x + 6 < 0; x > 1/4 or x < -3/2