LEAP Solving Multi-Step Equations 3

Question 1

Solve: 2(3x + 5) - 4 = 24

Accepted Answer

x = 3

Answer

Distribute to get 6x + 10 - 4 = 24, simplify to 6x + 6 = 24, subtract 6 to get 6x = 18, then divide by 6 to get x = 3.

Question 2

Marcus earns $12 per hour and received a $30 bonus. If he earned $138 total, how many hours did he work?

Accepted Answer

9 hours

Answer

Set up 12h + 30 = 138, subtract 30 to get 12h = 108, divide by 12 to get h = 9 hours.

Question 3

Solve for x: x/4 - 3 = 5

Accepted Answer

x = 32

Answer

Add 3 to both sides to get x/4 = 8, then multiply both sides by 4 to get x = 32.

Question 4

What is the solution to 5 - 2x = -11?

Accepted Answer

x = 8

Answer

Subtract 5 from both sides to get -2x = -16, then divide by -2 to get x = 8.

Question 5

Solve: 3x + 2(x - 4) = 17

Accepted Answer

x = 5

Answer

Distribute to get 3x + 2x - 8 = 17, combine to get 5x - 8 = 17, add 8 to get 5x = 25, divide by 5 to get x = 5.

(LEAP) Louisiana Educational Assessment Program Practice Test