Multi Step Equations Using the Distributive Property and Combining Like Terms

What is the first thing you should do to simplify an equation?

• add

• Distributive Property

• Combine like terms

• divide

Which of the following equations require you to use the Distributive Property first? Select all that apply.

• 6x - 8 = 7(x + 2)

• 7n - 5 = 3

• 2(a - 9) = 9a + 1

• 4 - 9y+ 8 +2y

Simplify: -3(n - 8)

• 3n - 8

• -3n - 24

• -3n + 24

• -24

What is the second step in solving a Multi-Step Equation with variables on both sides.

• Distribute

• Combine like terms on each side of the equal sign

• Move the variable

• Solve for the variable

Solve:
5y + 34 = -2(-7y+1)

• y = -4

• y = 9

• y = 4

• y = 36/19

2x + 3(5x - 7) = 47

• x = 1

• x = 2

• x = 3

• x = 4

Solve: -7(x + 3) = -4(x - 6)

2x + 3(5x - 7) = 47

(enter the number only)

• 1

• 2

• 3

• 4

Solve:
3(3x - 6) = 18

SHOW YOUR WORK!

• x = 4

• x = -4

• no solution

• infinite solutions

2x + 3(5x - 7) = 47

SHOW YOUR WORK!

• 1

• 2

• 3

• 4