5.2 Equivalent Expressions Math 9

A term is made up of a coefficient, a variable, and, an exponent.

Example 1: Identify Coefficients, Variables, and Exponents Expression Coefficient Variable Exponent of Variable(s) 3c2 3 c 2 -x -1 x 1 b 7st2 7 st 1 & 2 *** Even if a term has two variables, it ALWAYS has only one coefficient.

Like terms are terms that only differ by their coefficients e.g.) 3x -2x e.g.) -5xy yx e.g.) z2 -3z2 0.35z2 e.g.) 17 -8

Unlike terms are terms whose variables are not the same. e.g.) m2n & mn2 e.g.) 6x & 6x2 e.g.) 7 & 7d

Example 2: Identifying Like Terms Identify the like terms in the following group: Give examples of three like terms 5xyz –xyz 36xyz 6t 3s 6t2 6st -8s 5st2 4s2t -st2

You can combine like terms together to simplify the algebraic expression.

Example 3: Combine the like terms 5x − 3x2 + 2 x − x2 5x + 2 x − 3x2 − x2 7x − 4x2

2 x − 6 − 2 x + 1 2 x − 2 x − 6 + 1 -5

k − 2k2 + 3 + 5k2 − 3k − 4 k − 3k − 2k2 + 5k2 + 3 − 4 3k2 − 2k − 1

mn + nm + 2mn2 − 3n2m − 5m2n 2mn - mn2 − 5m2n mn + 2mn2 − 3n2m + nm − 5m2n mn + nm + 2mn2 − 3n2m − 5m2n 2mn - mn2 − 5m2n

Partner Jigsaw p. 187 5abc 6abc 7abcd 9abc 11abcdef

Practice # 13,14,16,17,18,20 9.1 Quiz during last ten minutes 9.2 Assignment next class