Warm Up Simplify 3(x + 2) -2(2y + 3) -4(-3p + 4) 3(-5z – 1)

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Warm Up Simplify 3(x + 2) -2(2y + 3) -4(-3p + 4) 3(-5z – 1) (-4k – 3)(-7) Solutions 3x + 6 -4y – 6 12p – 16 -15z – 3 28k + 21

5.1 Simplifying Expressions Content Objective Language Objective Assignment We will use algebraic terminology correctly. I can use algebraic terminology to explain the parts of and simplify expressions. Practice Workbook; pg 63; #1-19

Algebraic Terminology Term Parts of an expression that are combined. Like Term Identical Variables with corresponding exponents. Coefficient The number at the front of the variable. Constant Term A term with no variable, a number.

Parts of an expression.

Identify the Parts Problem: Terms: Like Terms: Coefficients: Constants: r + 2s + 3r r, 2s, 3r r & 3r 1, 2, 3 none

Identify the Parts Problem: Terms: Like Terms: Coefficients: Constants: 11w + 9z + 3z + 5w 11w, 9z, 3z, 5w 11w & 5w; 9z & 3z 11, 9, 3, 5 none

Identify the Parts Problem: Terms: Like Terms: Coefficients: Constants: 11x + 2 – 4x + 13 11x, 2, -4x, 13 11x & -4x; 2 & 13 11, -4 2, 13

Identify the Parts Problem: Terms: Like Terms: Coefficients: Constants: 14 + (-7j) + 29 – 17k 14, -7j, 29, -17k 14 & 29 -7, -17

Identify the Parts Problem: Terms: Like Terms: Coefficients: Constants: 29k + (-17k) + 28 + -16 29k, -17k, 28, -16 29k & -17k; 28 & -16 29 & -17 28 & -16

Simplifying Expressions Problem: 3x + 4x (3 + 4)x Distributive Property 7x Simplify

Simplifying Expressions Problem: -9y + 7y + 5z (-9 + 7)y + 5z Distributive Property -2y + 5z Simplify

Simplifying Expressions Problem: 2(4 + x) + x 2(4) + 2(x) + x Distributive Property 8 + 2x + x Simplify 8 + (2 + 1)x Combine like terms 8 + 3x Simplify

Simplifying Expressions Problem: -5(3y – 6) + 7y -5(3y) – (-5)6 + 7y Distr. Property -15y – (-30) + 7y Simplify -15y + 7y + 30 Comm. Prop. & Simplify (-15 + 7)y + 30 Distr. Property -8y + 30 Simplify