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Challenge Like Terms

The parts of an expression that are separated Like terms Like terms
by addition or subtraction symbols are called
terms. Before you evaluate some algebraic 5x 3y 2x 4x2 6y 2x2
expressions, you can simplify them by
combining like terms. Like terms have the Like terms
same variable, raised to the same power.

1 . Find the like terms in each algebraic expression.

a. 4a 5 2a b. 3b b c c. 8x2 1 3x 4x2

4a and 2a

2 . Simplify each algebraic expression by combining like terms.

a. 2a 7 3a 5a 7 b. 4y2 3z 2y2 2y2 3z To simplify an
c. 3a 5b 7a d. 10 3x2 5x 6x2 algebraic

expression,
combine like terms

by adding or
subtracting them.

3 . Simplify each algebraic expression by combining like terms.

Then evaluate the expression if a 4 and b 3.

a. 4a 3 2a 6a 3 b. 3a 4b 2a 5b
6 43
21

c . 2a2 4a a2 d . a b2 8a 2b2

30. Algebraic Expressions 129
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