Do Now 10/5/11 In your notebook, define the word “collect”. Do you “collect” anything? If so what?

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Do Now 10/5/11 In your notebook, define the word “collect”. Do you “collect” anything? If so what?

Objective 2.3 simplify variable expressions

Section 2.3 “Simplifying Variable Expressions” Parts of an Expression Coefficient the number part of a variable term -3x + 2x + 8 Terms of the expression are separated by addition signs Constant term that has no variable

Simplifying an Expression Like Terms terms that have The same variable -3x + 2x + 8 -3x + 2x + 8 You can simplify an expression by COLLECTING LIKE TERMS -1x + 8

Simplifying an Expression The coefficient is always 1 for a variable with no number in front of it. 4n – 7 – 1n + 9 4n – 7 – n + 9 4n + (-7) + (-1n) + 9 Write expression as a sum “Opp-Opp” 4n + (-1n) + (-7) + 9 Commutative Property 3n + 2 COLLECT LIKE TERMS

Parts of an Expression 7x² + 5x + 8 + 3x 1) List the terms of the expression. 7x², 5x, 8, 3x 2) List the coefficients of the expression. 7, 5, 3. 3) List the like terms of the expression. 5x and 3x 4) List the constant terms of the expression. 8 5) Simplify the expression. 7x² + 8x + 8

Simplify the Expression A). 10a + 2b 3a + 2b + 7a 5b² + 7 + 10b² 2x – 7 + 16 – 3x D. x + y – 12y – 3x B). 15b² + 7 C). -x + 9 or -1x + 9 D). -2x + (-11y) or -2x – 11y

Simplifying Expressions in Geometry What is the perimeter of the trapezoid? Perimeter is the distance around a figure. 3x Add together each of the sides. x + 2 x + 2 x + 2 + 3x + x + 2 + 5x (reorder terms) x + 3x + x + 5x + 2 + 2 (combine like terms) 5x 10x + 4

Find the Perimeter of the Figure 4 + 2w w Challenge What is the area of the figure? Perimeter = 2(L) + 2(W) Area = length x width Perimeter = 2(w) + 2(4 +2w) Area = (w)(4 + 2w) Perimeter = 2w + 8 + 4w) = 6w + 8 Area = 4w + 2w²