Algebraic Expressions
two points fewer than the Eagles scored
4 + 6 = 6 +4
a x b = b x a
Commutative Property
Use an exponent:
15 x 15 x 15 x 15 x15 x15
15^6
3 - 2 + 8
3 - 2 + 8
1 + 8
9
3 + v
v = 100
10 times the number of inches
9 + 0 = 9
8 x 1 = 8
Use an exponent:
9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9
9^9
6 + 10 x 5
6 + 10 x 5
6 + 50
56
g - 5
g = 20
total cost of a hat and a $4 pair of socks
h + 4
3g + (9 + 2) = (3g + 9) + 2
(8 x 5) x 7 = 8 x (5 x 7)
Associative Property
As a product of the same factor:
2^2
(7 + 4) x 3 - 2
11 x 3 - 2
33 - 2
31
16 -: z
z = 4
16 -: 4 = 4
half as many cookies as Tom ate
t -: 2
8 (x + 7) = 8x + 56
2(x + 2 ) = 2x + 4
Distributive Property
As a product of the same factor:
5^3
5 + 4 x (2 + 7)
5 + 4 x 9
5 + 36
41
2d - 5
d = 12
2 x 12 - 5
24 - 5 = 19
the cost of 5 songs and $20 movie
5s + 20
a x 0 = 0
9 x 0 = 0
As a product of the same factor:
3^3
2^4 - 6 -: 2
2^4 - 6 -: 2
16 - 6 -: 2
16 - 3
9e^2
e = 1/3
9 xx 1/3 xx 1/3
1/3 xx 1/3 = 1/9
9 xx 1/9 = 1