Solve Equations with Distributive Property

Simplify then Solve.

3(2x + 7) = 45

• x = 4

• x = 6

• x = 2

• x = 8

Simplify then Solve.

2(5b - 3) = 24

• b = 5

• b = 6

• b = 4

• b = 3

Simplify then Solve.

10(c + 8) = 170

• c = 8

• c = 9

• c = 7

• c = 10

Simplify then Solve.

12(m - 3) = 60

• m = 8

• m = 10

• m = 4

• m = 12

• Add 4 to both sides

• Divide both sides by 12

• Combine like terms

• Subtract 24 from both sides

Solve the equation.

8 (7-y) = -24

• y= 2

• y= 10

• y= 15

• y= -5

Solve: 3(x - 4) = -3

• 3

• -3

• 5

• -5

Which of the following shows the equation after both sides have been distributed correctly?

• -4x – 8 = 15x – 40

• -4x – 6 = 15x – 3

• -4x + 8 = 15x – 40

• -4x + 8 = 15x + 40

Solve the equation.

-4 (8+5n) = 8

• n= -4

• n= 3

• n= -2

• n= 1

6(3x - 5) - 7x = 25

• x= 5

• x= 6

• x= -5

• x= -6