Algebra Terms
This is the name for the LETTER that represents the missing number in algebra.
Variable
3(x - 5) = 3x - 15
Distributive Property, because you are distributing (multiplying) the term outside the parentheses to the terms inside the parentheses.
Expand 2(y+5x)
10x+2y
Simplify (10x-4) + (-7+x)
11x-11
Simplify 14z-3-(6-5z).
19z-9
n + 7 is an example of this.
Expression
c + 3 = 3 + c
Commutative Property, because the order changes.
Expand -2.5(-3+4n+8)
-10n-12.5
Add (6a+6), (3x-2), and (2a+4).
8a+3x+8
Simplify (-9p+7)-(-9p+3)
4
z - 5 = 11 is an example of this.
Equations
(2x + y) + 4 =2x + (y + 4)
Associative Property, because the grouping changes.
A bedroom is originally 5 m wide and 8 m long. The length will be extended by ”x” meters. What are the two expressions for the new area of the bedroom?
Factored expression: 5(x+8)
Expanded expression: 5x+40
Find the sum of (3.2+4x) and (18.25+6x).
10x+21.45
Subtract (7.8-5.1t) from (2.8-3.2t).
1.9t-5
This is NUMBER part of a variable term.
Coefficient
x - 5 = x + (-5)
Additive Inverse Property, because subtraction is adding the opposite.
Factor 28y-32 using the GCF.
4(7y-32)
Find the sum of (-2z-3), (4c+6y), and (7+3c).
7c+6y-2z+4
Subtract (6+4b-2k) from (-4b+15-7k).
-8b-5k+9
This is another name of a numerical term.
Constant
(a + 2b) + 3 = (2b + a) + 3
Commutative Property, because the order of the terms change in the parentheses.
The area of a rectangle is 27x-9, using the GCF as the width, what is the length of the rectangle.
3x - 1
Find the perimeter of a rectangle with a width of (3x-1.5) and a length of (1.25x+3).
8.5x+3
Find the difference of (0.5n+0.3) and (0.75n-0.45)
-0.25n+0.75