5x - 7 + 3x + 4x
Examples of terms.
5x, -7, 3x, 4x
Name the property represented.
6 x 0 = 0
Property of Zero
Use the Distributive Property to simplify
5(m + 3)
5m + 15
Simplify the Expression
2m + 5 + 3m - 4
5m + 1
Find the GCF of the following terms
12y, 28y
4y
5x - 7 + 3x + 4x
Examples of like terms
5x, 3x, 4x
Name the property represented.
7 + (2 + 3) = (7 + 2) + 3
Associative
Use the Distributive Property to simplify
-4(b + 2)
-4b - 2
Simplify the Expression
-5y -4y +7
-9y + 7
Find the GCF of the following terms
6x, 18xy, 38y
2
5x - 7 + 3x + 4x
Examples of variables
x
Name the property represented.
5 x 4 = 4 x 5
Commutative
Use the Distributive Property to simplify
-3( -y - 9)
3y + 27
Simplify the Expression
(3x - 7) + (-5x + 9)
-2x + 2
Factor the Expression
12x + 20
4(3x + 5)
5x - 7 + 3x + 4x
Examples of coefficients
5, 3, 4
Name the property represented.
5a + 0 = 5a
Identity
1/2(-2a + 5)
-a + 5/2 or -1a + 2.5 or -1a + 2 1/2
Simplify the Expression
(3x - 8) - (2x + 2)
x - 10
Factor the Expression
-8mn + 10m
-2m(4n - 5) or 2m(-4n + 5)
5x - 7 + 3x + 4x
Examples of constants
-7
Name the property represented.
8(a + 3) = 8 x a + 8 x 3
Distributive
(-8r + 20)(-5)
40r - 100
Simplify the Expression
7( x - 3) - 2( -3x + 8)
13x - 37
The area of a rectangle could be represented as 10x - 15 units squared. What are possible side lengths of that rectangle?
5 units by (2x - 3) units