Properties
What property is being represented 5+6 = 6+5
Commutative Property of Addition
What property is being represented 5(1)= 5
Multiplication property of one
the sum of 7 and 12
7+12
Simplify 4+7x+3
7+7x
Factor 5x + 25 using GCF
5(x+5)
What property is being represented 5X6 = 6X5
Commutative Property of Multiplication
What property is being represented m(0)= 0
Multiplication property of zero
the product of 7 and n
7n
Simplify 2(8x)+13
16x+13
Write an expression, using exponents, to solve the area of a square which has the length 3n
9n2
What property is being represented (5+6) +4 = 5+(6 +4)
Associative Property of Additon
Use the properties to simplify 11 + (6 + x)
17 + x
four less than two times x
2x - 4
Simplify 12 + 2x + 3+ 4x
15+6x
Factor 10z + 72y using GCF.
2(5z + 36y)
What property is being represented 6x(5x4)= (6x5)x4
Associative Property of Multiplication
Use the properties to simplify: (9 + 2y) +(4y +5)
14 + 6y
d/10
Simplify 2(12z)+13s+4
24z + 13s +4
An arcade receives a discount on each gaming console purchased. The original price of each gaming console is x dollars. The arcade purchases 10 consoles for a total of (10x-150) dollars. By how much is each gaming console discounted?
$15 per gaming console
What property is being represented 5(6+4) = (5X6) + (5x4)
Distributive Property
Use properties to simplify: 1/3(12 + 9x) + 2x
4 + 5x
a number c less than 16
16-c
Simplify 2n + 3(2n +5) + 6
8n + 21
A saleswoman earns a bonus on each widget she sells. She sells 15 widgets. The original price is x dollars. The price for all 15 widgets is 15x + 75. How much of a bonus does she earn for each widget sold?
5 dollars