Combining Like Terms. Vocabulary A term is a number or the product of a number and a variable(s). ex. 5, -12p, 35m 3, x 2 y 5 z 13 A constant is a term.

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Presentation transcript:

Combining Like Terms

Vocabulary A term is a number or the product of a number and a variable(s). ex. 5, -12p, 35m 3, x 2 y 5 z 13 A constant is a term that has no variable. ex. 15, , -22, 1 Like terms have identical variables (with the same exponents). ex. 4m 2 and -8m 2, 17x and x, 8y 3 k 2 and -2k 2 y 3 A coefficient is a number that multiplies a variable. ex.4x, -13y, 54mn

Like Terms have the EXACT same variables with the same exponents. Like Terms 2x, -5x -8, 10 3y², 8y² 7xy, -xy Unlike Terms 4x, 4y 9, 6x -5x, 5x² 3x²y, 8xy²

Find the Like Terms 4x 2 y 4xy 3 4xy 2 -13x 2 y x2yx2y y2xy2x -4xy -3m 2 y 7yx 2 m2ym2y 3x -17yq13xy 2 9xy

Are 5m 3 b 2 and -7b 2 m 3 like terms? YesNo

Are 15m 3 b 2 and -7bm 2 bm like terms? YesNo

Are 5m 2 b 3 and -4b 2 m 3 like terms? YesNo

Distributive Property & Combining Like Terms 3(2x +4) -2 6x x 4x +12 x

Distributive Property & Combining Like Terms -2(4x -6) +3 -8x x -5x +12 x

Distributive Property & Combining Like Terms 3(2n + 4) + 2(8n + 7m) 6n n +14m 22n + 26m

Distributive Property & Combining Like Terms 3(2n + 4) + 2(8n + 7m) 6n n +14m 22n + 14m + 12

6(2x + y) + 2y -10x 12x+ 6y + 2y -10x 2x + 8y

(2x +4)3 + 6(-5x )-(-8) 6x x+8 -24x +20

x +3x +4(5+ x -3x ) x+3x+4(5-2x) x +3x x -4x +20

(3x +2y)3 + 4(-2x +3y) 9x + 6y + -8x + 12y x +18y