1. Objectives Multiply expressions containing variables. Divide expressions containing variables. Page 96 Multiplying and Dividing Expressions Why? When solving equations, you often need to multiply or divide not only single numbers, but also larger expressions that may include variables.

2. Glossary Terms 2.7 Multiplying and Dividing Expressions 4² = 16 base exponent power x²

3. Multiply Expressions Multiply the following expressions 2x(3x – 4) Use the distributive property 2x(3x) – 2x(4) Multiply 6x² - 8x (-2)(5a – 4) Use the distributive property -2(5a) – (-2)(4) Multiply -10a – (-8) Simplify using the definition of subtraction -10a + 8

4. Multiply Expressions Simplify the following (5x + 3y – 7) – 3(2x – y) Use the definition of subtraction to rewrite the expression as an addition problem. (5x + 3y – 7) + (-3)(2x – y) Use the distributive property 5x + 3y – 7 – 6x + 3y Combine like terms (5x – 6x) +(3y + 3y) - 7 -x + 6y - 7

5. Divide Expressions To divide expressions, rewrite using the rules for fractions. Then use what you know about canceling to simplify. Dividing an expression: a + b c = acac + b c 2 + 3 7 = 2 7 + 3 7 2x + 6 2 = 2x 2 + 6 2

6. Simplify the following 2x² + 6 2 Split up the fraction 2x² 2 + 6 2 Simplify each fraction x² + 3

7. Key Skills Multiply and divide expressions. b. (5x + 9) – 2(x + 3) (5x + 9) –2(x) + (–2)(3) 5x + 9 – 2x – 6 Distributive Property Group like terms. 3x + 3Simplify.

8. Key Skills Multiply and divide expressions. 4k 2 + k + 9 Rule for Dividing an Expression Simplify. c. 12k 2 + 3k + 27 3 12k 2 3 3k3k 3 27 3 ++ TOC

9. Assignment Page 101 -103 # 18 – 48 even, 62 – 86 even