Combining Like Terms.

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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, 35m3, x2y5z13 A constant is a term that has no variable. ex. 15, 35.074, -22, 1 Like terms have identical variables (with the same exponents). ex. 4m2 and -8m2, 17x and x, 8y3k2 and -2k2y3 A coefficient is a number that multiplies a variable. ex. 4x, -13y, 54mn

Underline the Like Terms 4xy3 9xy mx2y 4x2y yx 7yx2 3x -3m2y 4xy2 -4y -17yq 13x2y2 x2y -13x2y

Are 15m3b2 and -7bm2bm like terms? Yes No

Combining Like Terms If you have like terms on the same side of an equation, you can combine them through addition or subtraction. ex. 8x + 3x = 77 11x = 77 ex. -8p – (-3p) = 5f + 12 – 13f -5p = -8f + 12

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

Distributive Property & Combining Like Terms -13 -2 ) +4 -4(3 -13 ) +4 -12 -(-8 -13 +4 -12 +8 -25 +12

Distributive Property & Combining Like Terms 3(2n + 4) – 2(8n – 7m) 6n + 12 – 16n – (-14)m 6n + 12 – 16n + 14m -10n + 26m Wrong!

Distributive Property & Combining Like Terms 3(2n + 4) – 2(8n – 7m) 6n + 12 – 16n – (-14)m 6n + 12 – 16n + 14m -10n + 12 + 14m

12 -4(-8 +17) 12 + 32 - 68 -56 + 32

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

(2 +4)3 + 6(-5 )-(-8) 6 +12 -30 +8 -24 +20

) +3 +4(5+ -3 ) +3 +4(5-2 Nooooo! +3 +20-2

) +3 +4(5+ -3 ) +3 +4(5-2 +3 +20 -8 -4 +20