Properties
Which property is shown below?
2x+5=5+2x
Commutative Property of Addition
Simplify.
2(x-7)
2x-14
7x+8-3x+5
4x+13
Which operation should be used to solve this equation?
6-x=-8
subtraction
Which property says that the product of a term and its reciprocal is 1?
Inverse Property of Multiplication
Simplify.
-3(x-9)
-3x+27
2x-7(3x+5)
-19x-35
Which operation should be used to solve this equation?
-2x=24
division
Which property is shown below?
c+(-c) = 0
Inverse Property of Addition
Factor.
8x-30
2(4x-15)
5(x-3)-2(x-9)
3x+3
True or False? When solving a two-step equation, you always perform multiplication or division first.
False
Which property says that the grouping of factors can be changed without affecting the product?
Associative Property of Multiplication
Factor.
-10x-35
-5(2x+7)
(4x-8) + (9x+2)
13x-6
Solve.
-4x+13=41
x=-7
Which property is shown below?
1(x) = x
Identity Property of Multiplication
Factor.
9x-15y+18
3(3x-5y+6)
(10x-3)-(4x+6)
6x-9
7x-2(x+5)=-40
x=-6