Objective To simplify expressions by combining like terms'

1
Objective - To simplify expressions by combining
like terms.
Identity Properties
Identity Property of Addition
Identity remains the same
Zero is called the additive identity
Identity Property of Multiplication
Identity remains the same
One is called the multiplicative identity
2
Term
- numbers and/or variables tied together by
multiplication or division but separated by
addition or subtraction.
How many terms?
6 terms
1
Coefficient
- the number preceding the variable in a
variable term.
Constants
- numerical terms.
3
Like terms can be combined!
Like Terms
Unlike Terms
4
Combine the following like terms.
1) 3x 5y 4x
7x
5y
2) 4a 6 - 3a - 2
a
4
3) x 3y 2x 4y - z
3x
7y
- z
4)
5
Find the perimeter of the figures below in terms
of x.
1)
2)
6
Simplify each variable expression.
1) 7(x 4) 2x
4) 3(b - 2) 6b
7x 28 2x
3b - 6 6b
9x
28
9b
- 6
2) 5x 3(x 1)
5) 2(3m 1) - 4m
5x 3x 3
6m 2 - 4m
8x
3
2m
2
3) a 2(4 a ) - 1
6) 3(k m) 5(k 2m)
5k 10m
a 8 2a - 1
3k 3m
3a
7
8k
13m
7
Find the perimeter of the figures below in terms
of x.
1)
2)
8
Simplify each expression below. Then evaluate if
a 2 and b 3.
1)
3)
2)
4)