Properties
Name the property that this expression relates to:
4 + 2 = 2 + 4
Communitive Property of Addition
Write the following number in all three forms:
2^5
2^5
2 x 2 x 2 x 2 x 2
32
10 - 3 x 3 + 2
3
Factor this expression:
81x + 9
9 (9x + 1)
Write the following expression using words:
c + 5a
the sum of c and the product of 5 and a
Name the property that this expression relates to:
6 + 0 = 0
Additive Property of 0
Represent the following expression using a repeated subtraction number sentence.
42 ÷ 7 = x
42 - 7 - 7 - 7 - 7 - 7 - 7 = 0
36 ÷ (12 - 3) x 3
27
Simplify this expression if y = 2
35(2y + y)
210
Write the following expression using words:
x - (32 ÷ c)
the difference between x and the quotient of 32 and c.
Name the property that this expression relates to:
4 x 2 = 2 x 4
Communitive Property of Multiplication
Represent the following expression using a repeated subtraction number sentence.
35 ÷ 5 = x
35 - 5 - 5 - 5 - 5 - 5 - 5 - 5 = 0
5 (100 x 1/5 ) - 31 + 14
83
Factor this expression
6ab + 24a
6a(b + 4)
Write the following expression using words:
3b + x
x added to the product of 3 and b
Name the property that this expression relates to:
5 x 1 = 5
Multiplicative Property of One
Write all three sets of numbers below in exponential form, expanded form, and standard form.
44
9 x 9 x 9
(2/5)^3
44 = 4 x 4 x 4 x 4 = 64
93 = 9 x 9 x 9 = 243
(2/5)^3 = 2/5 + 2/5 + 2/5 = 8/125
8 ÷ 2 + ((3 x 2) + 82)
74
Simplify these expressions when y=3
3(y + 2)
y(5x + 2)
15
15x + 6
Write the following expression using variables and values:
the product of x and the quotient of 3 and y
x(3/y)
3x/y
x(3 ÷ y)
Name the property that this expression relates to:
3(4 x 2) = (3x4) + (3x2)
Distributive Property
Represent the following expression using a repeated subtraction number sentence.
45 ÷ x = 9
45 - x - x - x - x - x - x - x - x - x = 0
(9 + 1)2 ÷ (24 ÷ 4) + 10
35
Simplify this expression
5x(4 + b)
20x + 5xb
Write the following expression using variables and values:
the sum of twice x and 3
2x + 3