Two-step equations

Two-step equations

by Rozalyn Hovivian

​Steps

​1. Locate the Variable

​2. Identify the operations

​3. Solve using inverse operations

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​Reminder:

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​Addition and Subtraction are inverses

​Multiplication and Division are inverses.

​Example

• ​Solve the equation 8x +7 =31

• ​First step: subtract 7 on both sides

• ​Second Step divide both sides by 8.

Multiple Choice

Your Turn: What is the inverse operation for subtraction?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Your Turn: What is the inverse operation of division?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What is the first step to solve this equation?

9x + 7 = 43

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply by 9 on both sides

• Divide by 9 on both sides.

Multiple Choice

What is the second step to solve this equation?

9x + 7 = 43

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply by 9 on both sides

• Divide by 9 on both sides.

Multiple Choice

Solve this equation?

9x + 7 = 43

• x = 5.5

• x = 4

• x = 324

• x = 450

How to solve

• ​To solve the equation we needed to do the following:

• ​Subtract 7 on both sides

• ​Divide both sides by 9.

Multiple Choice

Solve the equation: 5x - 2 = 23

• x = 25

• x = 4.2

• x = 5

Multiple Choice

Solve the equation: 2x + 1 = 5

• x = 2

• x = 3

• x = 8

Multiple Choice

Solve the equation: 4x + 3 = -5

• x = 2

• x = -0.5

• x = -2