Multi-Step Equations (Lesson 2-3)

I Can Solve Multi-Step Equations.
(8.EE.7)

Multiple Choice

What is STEP 1 when solving multi-step equations?

• Collect The Variables

• Distribute Every Time

• Combine Like Terms

• Distribute If Necessary

Multiple Choice

Is it necessary to distribute in the equation below?

3x + 2 = x + 4(x + 2)

• Yes

• No

Multiple Choice

What is the result when you distribute?

3x + 2 = x + 4(x + 2)

• 3x + 2 = x - 4x + 8

• 3x + 2 = x + 4x + 2

• 3x + 2 = x + 4x + 8

Multiple Choice

What is STEP 2 when solving multi-step equations?

• Collect the Variables

• Combine Like Terms

• Collect the Constants

Multiple Choice

What is the result when you combine like terms in the equation?

3x + 2 = x + 4x + 8

• 3x + 2 = 4x + 8

• 3x + 2 = 3x + 8

• 3x + 2 = 5x + 8

Multiple Choice

What is STEP 3 when solving multi-step equations?

• Combine Like Terms

• Collect The Constants

• Collect The Variables

Multiple Choice

What is the result when you collect the variables?

3x + 2 = 5x + 8

• 3x - 6 = 5x

• -2x + 2 = 8

• 8x + 2 = 8

• 2x + 2 = 8

Multiple Choice

What is STEP 4 when solving multi-step equations?

• Solve For The Variable

• Collect The Variables

• Collect the Constants

Multiple Choice

What is the result when you collect the constants?

-2x + 2 = 8

• -2x - 6

• -2x = 10

• -2x = 6

Multiple Choice

What is STEP 5 when solving multi-step equations?

• Use an Inverse Operation To Solve For The Variable

• Flip The Equation

• Distribute

Multiple Choice

What is the result of solving for the variable?

-2x = 6

• x = -12

• x = 3

• x = -3

• x = 12

Reorder

Reorder the following steps for solving multi-step equations.

• Distribute If Necessary

• Combine Like Terms

• Collect The Variables

• Collect The Constants

• Solve For The Variable Using Inverse Operations

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Fill in the Blanks

Solve the Equation.

-3(x - 1) + 7x = 27

x = ?

Fill in the Blanks

Solve the equation.

$\frac{1}{3}\left(x\ +\ 6\right)\ =\ \frac{1}{2}\left(x\ -\ 3\right)$

x = ?

Fill in the Blanks

Solve the equation.

0.25(x + 4) - 3 = 28

x = ?

Fill in the Blanks

Solve the equation.

28 - (3x + 4) = 2(x + 6) + x

x = ?

Fill in the Blanks

Solve the equation.

3(x -6) + 6 = 5x - 6

x = ?

Fill in the Blanks

Solve the equation.

-2.5(4x - 4) = -6

x = ?

Fill in the Blanks

Solve the equation.

3(x + 2) = 2(x + 5)

x = ?

Multiple Choice

Solve the equation.

$$\frac{1}{6}\left(x\ -\ 5\right)\ =\ \frac{1}{2}\left(x\ +\ 6\right)$$

x = ?

• $$11\ \frac{1}{2}$$

• $$\frac{1}{2}$$

• $$-11\ \frac{1}{2}$$

• $$-\frac{1}{2}$$

Fill in the Blanks

Solve the equation.

4x - 2(x - 2) = -9 + 5x - 8

x = ?