LESSON 17 EXPAND FACTOR LINEAR EXPRESSIONS Essential Question

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LESSON 17: EXPAND FACTOR LINEAR EXPRESSIONS

LESSON 17: EXPAND FACTOR LINEAR EXPRESSIONS

Essential Question 1. How does the distributive property allow you to simplify an expression?

Essential Question 1. How does the distributive property allow you to simplify an expression? What operation is used? 2. How does factoring allow you to simplify an expression? What operation is used?

Words to Know: Expand – to rewrite an expression with parentheses by distributing factors

Words to Know: Expand – to rewrite an expression with parentheses by distributing factors across terms Factor – to rewrite an expression as a product of factors

To Expand an Expression: ■ When a number is outside of the parentheses you

To Expand an Expression: ■ When a number is outside of the parentheses you will DISTRIBUTE ■ When you DISTRIBUTE, you multiply the number outside the parentheses by each of the numbers inside the parentheses ■ If the two terms inside the parentheses are being subtracted, you can KEEP CHANGE FLIP Ex. -7(3 m – 9) Ex. -(-6 n + 8)

To Factor an Expression: ■ Sometimes you will be asked to factor an expression

To Factor an Expression: ■ Sometimes you will be asked to factor an expression ■ This means to write the expression as a product of factors. ■ You will pull a COMMON FACTOR out of both numbers in the expression by DIVIDING ■ You will put the number that you “pulled out” (or divided by) on the outside of the parentheses. ■ Then simplify the inside of the parentheses if you can. Ex. 6 x + 18 Ex. 9 x – 15 x

Simplify : 5 m – 6(2 m +7)

Simplify : 5 m – 6(2 m +7)

Simplify: 5 x – 3 – (2 x – 1)

Simplify: 5 x – 3 – (2 x – 1)

The expression for this figure represents the side lengths of the rectangle in feet.

The expression for this figure represents the side lengths of the rectangle in feet. What is the simplified expression for the perimeter of this rectangle? 3 x + 1 6 x – 2