Download   Rules for Exponents Order of Arithmetic Operations

Math 1210-007
Algebra Review
Fall 2010
Order of Arithmetic Operations
Rules for Exponents
1.
Parentheses
1.
x a  x b  x a b
2.
Exponents
2.
x 
3.
Multiplication/Division
4.
Addition/Subtraction
3.
x0  1
4.
xa 
5.
( xy)a  x a y a
6.
x
xa
   b
x
 y
Properties of Algebra
1.
ab ba
2.
(a  b)  c  a  (b  c)
3.
a(b  c)  ab  ac
4.
ab  ba
5.
(ab)c  a(bc)
6.
1
a  1
a
a b
 x ab
1
xa
a
7.
8.
Rules for Negative Numbers
1.
a  (b)  a  b
2.
a  (b)  a  b
3.
(a)b  a(b)  ab
m = slope
b = y-intercept
4.
(a)(b)  ab
Quadratic Formula
5.
(a)  a
Equation for a line
Math 1210-007
Algebra Review
Fall 2010
Sample Problems
Solve for x:
1.
2.
3.
Solve:
1.
2.
3.
4.
Graph:
5.
1.
6.
2.
7.
3.
4.
Factor:
5.
1.
6.
2.
7.
3.
8.
4.
9.
Simplify:
Solve for x:
1.
1.
2.
2.
3.
3.
4.
4.
Math 1210-007
Algebra Review
5.
Fall 2010