25 less 8
25 − 8
x + 0 = x
Identity Property of Addition
7x + 42
7(x + 6)
3(x+4)
3x+12
3 x 1 = 3
Identity Property of Multiplication
the product of a
number and 12
12n
578 ∙ 0 = 0
Zero Property of Multiplication
−3x − 27
−3(x + 9)
10(4.2x+.5)
42x+5
a ∙ b = b ∙ a
Commutative Property of Multiplication
4 more than the quotient of
6 and a number
6/n + 4
(a + b )+ c = a + (b + c)
Associative Property of Addition
The entire area of a sandbox is 8x + 56. If the width is the GCF, what is the length?
x + 7
2(y+4x)
2y+8x
10(x + 5) = 10(x) + 10(5) = 10x+50
Distributive Property
Audrey plans to spend $10
on duct tape for a new craft.
Each roll costs $2.25. Write
an expression for the leftover money if she buys n rolls
of duct tape.
$10 ‒ $2.25n
4(35 − 5) = 4(35) − 4(5)
Distributive Property
0.4x + 3.6
0.4(x + 9)
45(2x+3y+5)
90x+135y+225
Factor: -5x+25
-5(x-5)
13 fewer than 9 times a number
9c ‒ 13
a + b = b + a
Commutative Property of Addition
3ab + 12a + 6ac
3a(b + 4 + 2c)
-2.5(2a+5b)
-5a-12.5b
Factor: 4x+24+16y
4(x+6+4y)