Warm up: solve for x

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# Warm up: solve for x - PowerPoint PPT Presentation

x – (-2) = -13. Warm up: solve for x. Inverse Operations . LEQ: What are inverse operations and how do we use them to solve one step equations?. Inverse operations are operations that “undo” each other

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### Inverse Operations

LEQ: What are inverse operations and how do we use them to solve one step equations?

Inverse operations are operations that “undo” each other

• For addition and subtraction, inverses are operations that we perform to a number to get 0
• For multiplication and addition, inverses are operations that we perform to a number to get 1

Addition and subtraction are inverses of each other

• Addition undoes subtraction
• Subtraction undoes addition
• Multiplication and Division are inverses of each other
• Multiplication undoes division
• Division undoes multiplication

1.) 3 ? = 1

The multiplicative inverse of 3 is 1/3.

2.) 3 +___=0

The additive inverse of 3 is -3.

3.) What is the multiplicative inverse of 1/8?

4.) What is the additive inverse of -6?

Examples

Ex. 1: 1 + x = 10

Ex. 2: y – 4 = 12

Ex. 3: x + 2 = -13

Ex. 4: x + -2 = -13

Let’s solve equations using inverse properties of addition and subtraction only

1.) 12 + y = 15 4.) -12 = w + -7

2.) 6 + x = -12

3.) 9 = r – 10