LEAP Solving Multi-Step Equations 4

Question 1

Solve: (x + 6)/2 = 10

Accepted Answer

x = 14

Answer

Multiply both sides by 2 to get x + 6 = 20, then subtract 6 to get x = 14.

Question 2

Which equation has a solution of x = -3?

Accepted Answer

2x + 9 = 3

Answer

Check: 2(-3) + 9 = -6 + 9 = 3 ✓; the other equations do not yield -3.

Question 3

Solve: 4x + 3 = 2(x + 7) - 1

Accepted Answer

x = 5

Answer

Expand the right side to get 4x + 3 = 2x + 14 - 1 = 2x + 13, subtract 2x to get 2x + 3 = 13, subtract 3 to get 2x = 10, so x = 5.

Question 4

Jada has twice as many stickers as Leon. Together they have 54 stickers. How many stickers does Leon have?

Accepted Answer

18

Answer

Let L = Leon's stickers; then 2L + L = 54 → 3L = 54 → L = 18.

Question 5

Solve for x: 10 - 3(x + 2) = -5

Accepted Answer

x = 3

Answer

Distribute to get 10 - 3x - 6 = -5, simplify to 4 - 3x = -5, subtract 4 to get -3x = -9, divide by -3 to get x = 3.

(LEAP) Louisiana Educational Assessment Program Practice Test