College Level Math Practice Test With Answer Key - Mission Del Paso Campus Page 12
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17BASIC ALGEBRA RULES
Order of Division
Multiplication & Division
Addition & Subtraction
Order of Operations
(-)(+) = -
+8 +3 = +11
P
(innermost)
a
= a b = b a
(-)(-) = +
–8 –3 = –11
E
(exponents)
b
M & D (left right)
(+) ÷ (-) = -
–8 +3 = –5
A & S (left right)
(-) ÷ (+) = -
+8 –3 = +5
a + 0 = a
Addition by zero identity
Exponent Rules
a + b = b + a
Commutative property of addition
(a + b) + c = a + (b + c)
Associate property of addition
3
2
5
a + (-a) = -a + a = 0
Inverse property of addition
x
x
x
a 0 = 0 a = 0
Multiplication by zero identity
a 1 = 1 a = a
Multiplication by one identity
3
2
6
(
)
x
x
a b = b a
Commutative property of multiplication
1
1
1
a
5
a
x
=
=
= 1
Multiplicative inverse (reciprocal)
2
x
1
1
a
a
3
x
(a b) c = a (b c)
Associate property of multiplication
1
x
3
3
x
0
a
a
a
= 0
= 1
= undefined
= a
0
1
a
a
>
<
1
a
a
a b =
a a = a
=
=
=
2
2
a b
a
b
b
2
3
X
X
X
1
1 x 1 = 1
1 x 1 x 1 = 1
2
2 x 2 = 4
2 x 2 x 2 = 8
3
3 x 3 = 9
3 x 3 x 3 = 27
4
4 x 4 = 16
4 x 4 x 4 = 64
5
5 x 5 = 25
5 x 5 x 5 = 125
6
6 x 6 = 36
6 x 6 x 6 = 216
7
7 x 7 = 49
7 x 7 x 7 = 343
8
8 x 8 = 64
8 x 8 x 8 = 512
9
9 x 9 = 81
9 x 9 x 9 = 729
10
10 x 10 = 100
10 x 10 x 10 = 1000
11
11 x 11 = 121
11 x 11 x 11 = 1331
12
12 x 12 = 144
12 x 12 x 12 = 1728
13
13 x 13 = 169
13 x 13 x 13 = 2197
14
14 x 14 = 196
14 x 14 x 14 = 2744
15
15 x 15 = 225
15 x 15 x 15 = 3375
Page 12 of 17
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