1. 5.2 Equivalent Expressions
Math 9

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

3. 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.

4. 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

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

6. 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

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

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

9. 2 x − 6 − 2 x + 1
2 x − 2 x − 6 + 1 -5

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

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

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

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