Daily Homework Quiz 1. Evaluate when () 8x8x – 2+x = x Evaluate the expression ()2)2 – 2. Evaluate when ) 6p6p–5p 25p 2 ( –4 – = p ÷32 ( 5+ – )2)2 2 ANSWER 108 ANSWER 25 ANSWER 9 – 36 Warm Up

1.3 Simplifying Algebraic Expressions 8/27/12

Coefficient : When a term is the product of a number and a power of a variable, the number is the coefficient. Ex. 2x or 2x 3 2 is the coefficient If the variable doesn’t have a number in front of it, the coefficient is 1. Ex. x, x 2 both have a coefficient of 1. Like terms :Terms that have the same variable parts Constant term : A term that consists of just a number. Ex: 5x + 8 Vocabulary Terms :The parts of the expression that are separated by + or – sign.

Identify Terms in an Expression Example 1 Identify the terms in the expression. 11 – 2x 2 – 7x7x – ANSWER Terms: 11, – 2x 2 – 7x, and – Terms :The parts of the expression that are separated by + or – sign.

Identify Coefficients and Like Terms Example 2 Identify the coefficients and like terms in the expression. x 2 7x7x–+53x 2 –10– ANSWER Coefficients: 1, - 7, and - 3. Like terms: x 2 and - 3x 2 : 5 and - 10

Identify the terms, coefficients, and like terms in the expression 4x 3 9x9x–+5x 2 –x 2 9x 3 7x.7x. –+ More Examples ANSWER terms: 4x 3, 5x 2, x 2, 9x, 9x 3, 7x ; ––– 1. coefficients: 4, 5, 1, 9, 9, 7 ; like terms: 4x 3 and 9x 3, 5x 2 and x 2, 9x and 7x ––– – – –

Example 3 Simplify by Combining Like Terms Simplify the expression. 9x9x+5x5x a. = 14x SOLUTION 9x9x+5x5x a. (5+9)x = This step is optional

Example 3 Simplify by Combining Like Terms Simplify the expression. + 2x22x2 + – 3x3xx2x2 6x6x b. 9x9xx2x2 + = 2x22x2 + – 6x6xx2x2 + 3x3x ()() Group like terms. = Parenthesis is optional Important Note: When moving terms around, make sure you keep the sign that’s in front of it.

Example 3 Simplify by Combining Like Terms 4y4y ( ) = – 12y7x7x ++ 3x3x ( )– Group like terms. = – 8y8y – 4x4x 7x7x4y4y c. –– 3x3x + 12y

Distributive Prop:In general: a(b+c) = multiply ab + ac

Example 4 Simplify Expressions with Grouping Symbols Simplify the expression. 512 a. – – () 1x Group like terms. – +5x5x = () 5+12 CLT. – +5x5x = 17 SOLUTION 512 a. – – () 1x – 5+5x5x = 12 Distribute -5

Example 4 Simplify Expressions with Grouping Symbols = Group like terms. () 4x4x – 3x3x+ () + – 24 = x – – 4x4x 3x3x – + = Distributive property b. 4 – () x6 3 – () 8x +

Checkpoint 2. ANSWER 4x4x 3x3x7x7x– 3. x1+ 810x – + ANSWER 711x– 4. x + x2x2 – 4x24x2 – 5x5x ANSWER – 3x23x2 – 4x4x Simplify the expression () 4+x2 ANSWER 11+2x2x 6. x () 2x6 –– ANSWER – 5x5x + 12 Simplify Expressions

Homework WS 1.3 Practice A