Definitions
The combination of numbers, variables, and mathematical operations
What is an algebraic expression?
4m + 11 - 9m + 1
-5m + 12
Are 3x + 3 and 3x(1 + 1) equivalent expressions?
No, distributing 3x into the sum of 1 and 1 results in 6x.
3(6x + 2)
18x + 6
36x + 8
4(9x + 2)
A part of an expression which can be a constant, variable, or a combo of both
What is a term?
25x - 13x + 9 - 3
12x + 6
Are 3x(2 + 4) and 18x equivalent expressions?
Yes, 3x distributed into 2 and 4 results in 6x + 12x or 18x.
DAILY DOUBLE!!
9(4 - 2x)
36 - 18x
or
-18x + 36
12x + 45
3(4x + 15)
This represents a number by itself
What is a constant?
DAILY DOUBLE!!
39x + 81 - 57x - 99
-18x - 18
Are 2x + x - x + 4x and 7x equivalent expressions?
No, combining like terms result in 7x.
6(2x - 6) + 2
12x - 34
54x - 9
9(6x - 1)
This is a letter representing an unknown value
What is a variable?
102x + 101s - 80x - 50s
22x + 51s
Are 4x + 8 and 2(2x + 4) equivalent expressions?
Yes, distributing 2 with 2x and 4 results in 4x + 8.
5(2x+1)
10x + 5
18x - 48x
6x(3 - 8)
Combining like terms and performing operations to make the expression as simple as possible.
What is simplifying an expression?
13r + 9r - 13s + 9
22r - 13s + 9
Are 8x + 11 and 8(x + 3) equivalent expressions?
No, 8 distributed into x and 3 result in 8x + 24.
8(4x + 3x)
32x + 24x
or
56x
16x + 64x
16x(1 - 4)