LEAP Solving Multi-Step Equations 5

Question 1

Solve: 2x/3 + 4 = 10

Accepted Answer

x = 9

Answer

Subtract 4 from both sides to get 2x/3 = 6, multiply both sides by 3 to get 2x = 18, then divide by 2 to get x = 9.

Question 2

If 3 less than four times a number is 21, what is the number?

Accepted Answer

6

Answer

Translate to 4n - 3 = 21, add 3 to get 4n = 24, then divide by 4 to get n = 6.

Question 3

Solve for m: 5(m - 2) + 3m = 30

Accepted Answer

m = 5

Answer

Distribute to get 5m - 10 + 3m = 30, combine to get 8m - 10 = 30, add 10 to get 8m = 40, divide by 8 to get m = 5.

Question 4

Two consecutive even integers have a sum of 46. What is the smaller integer?

Accepted Answer

22

Answer

Let n = smaller even integer; n + (n+2) = 46 → 2n + 2 = 46 → 2n = 44 → n = 22.

Question 5

Solve: -3(2x - 4) = -6

Accepted Answer

x = 2

Answer

Divide both sides by -3 to get 2x - 4 = 2, add 4 to get 2x = 6, divide by 2 to get x = 3. Wait: -3(2x-4)=-6 → 2x-4=2 → 2x=6 → x=3.

(LEAP) Louisiana Educational Assessment Program Practice Test