1. Chapter 2.2 The Multiplication Principle of Equality

2. What happens?Yes, we have new numbers. The main point however is that the new equation remains equal. 12 = 12 ( )3 36 = 3( ) 36 An example of a simple equation. Multiply the same amount to both sides. This is the Multiplication Principle of Equality.

3. What happens? Yes, we have new numbers. The main point again is that the new equation remains equal. 27 = 27 9 =9 Another example. Multiply a fraction or divide an amount to both sides. This is the Multiplication Principle of Equality. 27 = 27 ( )   ( ) 3 3 9 =9

4.  x = - 2 1. Solve for x x = - 16 ( )8 8( ) Step 1 Step 2

5. x = 8 9 9x = 72 9 Step 1 Step 2Step 3 Step 4 Step 5Step 6 Step 7 2. Solve for x

6. 3 x = 6 6x = 50 6 25 Step 1 Step 2Step 3 Step 4 Step 5Step 6 Step 7 3. Solve for x

7. x = - 2 - 27 - 27x = 54 - 27 Step 1 Step 2Step 3 Step 4 Step 5Step 6 Step 7 4. Solve for x

8. - x = 36 - 1 x = - 36 - 1 Step 1 Step 2Step 3 Step 4 Step 5Step 6 Step 7 5. Solve for x

9. - 6 - 51 = - 6x - 51 = - 6 = x Step 1 Step 2Step 3 Step 4 Step 5Step 6 Step 7 3x – 9x 17 2 x = 17 2 6. Solve for x

10. 1.8 16.2 = 1.8x 16.2 = 1.8 x = 9 = x 9 Step 1 Step 2Step 3 Step 4 Step 5Step 6 Step 7 5.2x – 3.4x 7. Solve for x

11. Chapter 2.2 The Multiplication Principle of Equality