Warm up: solve for x

x – (-2) = -13

Inverse OperationsLEQ: 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

Examples

1.) 3 ? = 1The multiplicative inverse of 3 is 1/3.

2.) 3 +___=0The additive inverse of 3 is -3.

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

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

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

Ex. 1: 1 + x = 10

Ex. 2: y – 4 = 12

Ex. 3: x + 2 = -13

Ex. 4: x + -2 = -13

On your own:

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

2.) 6 + x = -12

3.) 9 = r – 10

Hwk: Riddle Sheet