Numerical Expressions
(6 x 2) + 15 + (25-10)
42
What is the coefficient?
5x3
5
x2 + 6x2
7x2
Why is 6 x 0 = 0 true?
The Zero Property of Multiplication
Write an equivalent expression using an exponent.
4 x 4 x 4 x 4 x 4
45
42 x 5 - (2 x 3)
74
Evaluate the expression when p = 7
9p - 5
58
4x + 6 + 5x + 9
9x + 15
6 x 1 = 6
The Identity Property of Multiplication
Write an equivalent expression.
4 x c x c x c
4c3
(13 x 4 + 52) - 2
75
Evaluate the expression when b = 1.5
5b2 + 28
39.25
5n + 2n - 7n + 8
8
Why is this true?
5 + 6 = 6 + 5
The Commutative Property of Addition
Write an equivalent expression using the distributive property.
5(3a - 8)
15a - 40
(45 - 5) ÷ 8 +62
41
Evaluate the expression when b = 1.5
3(b + 10) - 7
27.5
2x + 5x - 4y + 3
7x - 4y + 3
Why is this true?
(4 x 6) x 3 = 4 x (6 x 3)
The Associative Property of Multiplication
Write an equivalent expression using the distributive property.
25g - 15
5(5g - 3)
12 - 9(6 - 5)
3
Evaluate the expression when d = 3
82 ÷ 4 × (2 + d) − d2
71
7(x + 2) - 6x + 9 + 4x3
x + 23 + 4x3
Why is this true?
4(a + 3c) = 4a + 12c
Distributive Property
Write an equivalent expression using the distributive property.
10 + 8(8y + 3) - 3
10 + 64y + 24 - 3
31 + 64y