Solving Inequalities Review

What inequality does the number line graph represent?

• x ≤ 4
• x ≥ -4
• x < -4
• x < 4

Does the inequality symbol flip when solving?

-2x ≥ 22

• YES

• NO

10 ≥ x - 3

• x ≤ 13
• x ≥ 13
• x ≤ 7
• x ≥ 7

Solve and graph the inequality.
77 ≤ 5 + 8n

• A
• B
• C
• D

Solve

-5m < 10

• m < -2

• m > -2

• m < 15

• m > 15

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20
• 1.75n + 0.75 ≤ 20
• 0.75n + 1.75 ≥ 20
• 0.75n + 1.75 ≤ 20

-8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

x - 4 > 5

• x < 9
• x ≥ 9 
• x > 1
• x > 9

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500
• 30x + 600 ≥ 1,500
• 30x + 600 < 1,500
• 30x + 600 < 1,500