1. SIMPLIFY THE EXPRESSION
WARM UP
SIMPLIFY THE EXPRESSION
8x + 3x
2y² + 7y² - y² + 2
5x – 2x
8m – m – 3m + 5
-x² + 5x + x²

2. 2.7 Combining Like terms 10/8/2012
LIKE TERMS are terms in an expression that have the same variable raised to the same power.
The COEFFICIENT of a term is the number part of the product of a number and a variable.
An expression is SIMPLIFIED if it has no grouping symbols and all the like terms have been combined.

3. Simplify the expression. 8 -2(x + 4)
2.7 Combining Like terms
Simplify the expression.
8 -2(x + 4)
Use the Distributive Property
= 8 -2(x) + (-2)(4)
Multiply
= 8 -2x - 8
Combine Like Terms
= -2x
= -2x

4. Simplify the expression. 2(x + 3) + 3(5 – x)
2.7 Combining Like terms
Simplify the expression.
2(x + 3) + 3(5 – x)
Use the Distributive Property
= 2(x) + 2(3) + 3(5) + 3(-x)
Multiply
= 2x – 3x
Combine Like Terms
= 2x – 3x
= -x + 21

5. SIMPLIFY THE EXPRESSION 3(y + 2) – 4y
2.7 Combining Like terms
SIMPLIFY THE EXPRESSION
3(y + 2) – 4y
-y + 6

6. SIMPLIFY THE EXPRESSION 9x – 4(2x – 1)
2.7 Combining Like terms
SIMPLIFY THE EXPRESSION
9x – 4(2x – 1)
x + 4

7. SIMPLIFY THE EXPRESSION -(x + 2) – 2(1 – x)
2.7 Combining Like terms
SIMPLIFY THE EXPRESSION
-(x + 2) – 2(1 – x)
x - 4