Learning Objective:

I can understand strategies for solving for multi-step equations.

I can learn how to use multi-step equations to solve real-world problems.

Multi-step Equations

5(y-2)-7y = -32

Example:

• Distribute (if needed)

• Combine Like Terms (if needed)

• Identify the Variable

• Inverse Operation on the Constant

• Inverse Operation on the Coefficient

• Check Yourself

Steps:

Distributive Property

3(4x -7) =15

Example:

• Distribute

• Identify the Variable

• Inverse Operation on the Constant

• Inverse Operation on the Coefficient

• Check Yourself

Steps:

Combining Like Terms

3b + 4 - 5b + 7b - 8 = 21

Example:

• Combine Like Terms

  (Circle, Circle, Square, Square)

• Identify the Variable

• Inverse Operation on the Constant

• Inverse Operation on the Coefficient

• Check Yourself

Steps:

• Inverse means opposite

• When we solve equations using inverse operations we will be using the opposite operation for the symbol we see

• Addition and Subtraction are opposites

• Multiplication and Division are opposites

​Example 1

​2x + 12 = 6x - 4

​Step 1 : Subtract 2x from each side. 2x - 2x + 12 = 6x - 2x - 4 ; 12 = 4x - 4

​Step 2 : Add 4 to each side. 12 + 4 = 4x - 4 + 4 ; 16 = 4x

​Step 3 : Divide 4 from each side. 16/4 = 4x/4 ; 4 = x

​

​Answer : x = 4