Solving Equations Using the Distributive Property

Match the following equation to its answer. Solve EACH equation showing all work.

• x = -7

• x = 6

• -4(8 - 3x) = 112

• x = 12

• 8(6 + 4x) = -176

• x = -16

• • - (28 - 4x) = -92

Solve the equation. Give your answer as just the number.

7(-2x + 5) = 28

Solve the equation. Give your answer as just the number.

-2(6x - 10) = 80

Mathematical Equivalence

ON

Solve the equation. Give your answer as just the number.

2(2x + 6) = 13

Mathematical Equivalence

ON

Solve the equation from the previous question for "x":

3(4x + 3) = 189

Mathematical Equivalence

ON

Write an equation using the distributive property for the following scenario:

You and a friend join a gym. The registration fee for each of you is $30 and the monthly membership is $20. If the total bill for you and your friend is $420, how many months did you pay for?

Mathematical Equivalence

ON

-119=1-6(3n-4)

• 11

• 8

• 14

• 9

-11 + 3(b + 5) = 7

• 1

• -1

• 3

• -3

2(x-3)=4x-2

• x = -2

• x = 2

• x = 5

• x = -5

-2(2f-4)= -4(-f +2)

• f = 2

• f = 16

• f = -8

• f = -2