Solving Multi-Step Inequalities Word Problems

• A
• B
• C
• D

22 < 6c + 4

• 11>c

• 3>c

• 11<c

• 3<c

-2x + 3(-4x + 6) ≤116

• x ≤ -7

• x ≥ 29

• x ≥ -7

• x ≤ 29

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

28 − k ≥ 7(k − 4)

• k ≥ -7

• k ≤ -7

• k ≥ 7

• k ≤ 7

28 − k ≥ 7(k − 4)

• k ≥ -7

• k ≤ -7

• k ≥ 7

• k ≤ 7

Solve. 3(k-5) + 9k ≥ -3

• k ≥ 0

• k ≤ -1

• k≥ 1

• k≥ 2

Solve the inequality.
9(5 + x) < 162

• x < 13

• x > 13

• x < 16

• x > 16

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

Solve:
4(2a + 3) < 3(a - 1)

• a<-3

• a>-3

• a<3

• a>3