# Lesson 11 1 Identifying like terms Combining and

Lesson 11 -1 Identifying like terms Combining and simplifying like terms

TERM A number, a variable, or a product of both. COEFFICIENT A number that is multiplied by a variable Coefficient Note Variable Term A variable by itself, like y, has a coefficient of 1. So y = 1 y.

LIKE TERMS Are terms with the same variable raised to the same power. Like Terms , , , Unlike Terms , , ,

Identifying like terms Identify like terms in the list. 3 t 5 w 2 7 t 9 v 4 w 2 8 v Look for like variables with like powers. Like terms: 3 t and 7 t 5 w 2 and 4 w 2 9 v and 8 v Helpful Hint Underline or use different shapes or colors to indicate sets of like terms.

Combining and simplifying like terms Combine like terms. A) 3 a 2 + 5 b + 11 b 2 – 4 b + 2 a 2 – 6 3 a 2 + 2 a 2 + 5 b – 4 b + 11 b 2 – 6 5 a 2 + b + 11 b 2 – 6 B) 45 x – 37 y + 87 There are no like terms to combine. Identify like terms. Group like terms. Simplify Like Terms

C) 6(5 + n) – 2 n Distributive property 30 + 6 n – 2 n Identify like terms. 30 + 4 n Simplify Like Terms Solve: x + 3 x = 48 4 4 x = 12 Identify like terms. Simplify Like Terms Divide both sides by 4

Lesson Quiz Combine like terms. 1) 3 x + 4 + 2 x 2) 13 k + 6 8 k + 9 + k Simplify. 3) 4(3 x + 6) 7 x 4) 6(x + 5) + 3 x Solve. 5) 6 y + y = 42 6) The accounting department ordered 15 boxes of pens. The marketing department ordered 9 boxes of pens. If the total cost of the combined order was $72, what is the price of each box of pens?

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