Vocabulary
A letter or symbol used to represent a number or quantities that vary
variable
Identify Like terms in the expression:
2x + 4x +2
2x and 4x
Simplify the expression: 2x + 1 + 7x
9x + 1
Simplify the expression:
8(5 + w)
40 + 8w
Simplify 3(1 - 2x) + 7
10 -6x
Expressions that contain the same variables to the same power.
Like Terms
Identify Like Terms in the expression:
3z -2x - z + 12x +10
3z & -z; -2x and 12x
Simplify:
-9n + 12n + 7 - 12
3n -5
Simplify the expression:
-8(4b - 5)
-32b +40
Simplify:
3(9 + 2d) + 4d
27 + 10d
What property do you use to simplify: 3(x +4) ?
distributive property
Identify Like Terms in the expression:
-2y -2x + 10 + 2m
None
Simplify:
-3 + 5xy + 8 -2x -3xy
5 + 2xy-2x
2.5(2x + 1)
5x + 2.5
8h +7(2 + 4h)
HINT! Combine like terms after using the distributive property.
36h + 14
The rules to be followed when simplifying expressions.
combine like terms
Identify Like Terms in the expression:
15x+ 9x - 2 - 2
15x and 9x , -2 and -2
Simplify the following expression:
(5 + 4x) + (2x - 8)
6x -3
-3.5 (8x -1)
-28x + 3.5
Simplify:
3(9 + 2d) + 4d
10d + 27
A mathematical combination of numbers and at least one operation.
algebraic expressions
Create 3 terms are "like" to 12xy
For example:
1xy
15xy
-12xy
Simplify the following expression:
(5 + 4x) - (2x - 8)
1.5x + 2.5
6(2r+10) - 5(x+2)
12r + 60 -5x -10
12r -5x +50