Multi Step Equations Using the Distributive Property and Combining Like Terms

Isolating the variable: Solve for x: 2(x + 3) = 10

• x = 12

• x = 5

• x = 7

• x = 2

What is the first step in solving the equation below?

12 + 5w - 4w = 15

• combine like terms

• distribute

• start with the upside down T

Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x

• Distributing -2 to (x - 7)

• Combining x and 3x

• Subtracting 1 from both sides

• 5 - 2

Do I need to distribute, combine like terms, or both?

• Distribute

• Combine like terms

• Both

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

Which step is incorrect?

120 = 4(7a+2)

Step 1 Distribute

120 = 28a + 8

Step 2 Subtract 8 from both sides

112 = 28a

Step 3 Divide both sides by 28

a=4

• Step 1

• Step 2

• Step 3

• Problem is worked correctly

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

Mathematical Equivalence

ON

Solve: -11 = 6(5x + 4) + 5x

Mathematical Equivalence

ON

Solve: -8x - 8 + 3(x - 2) + 3x = 2

Mathematical Equivalence

ON