College algebra
Algebraic Expressions- A combination of variables and numbers using the
operations of addition, subtraction, multiplication, or division, as well as
powers or roots.
(Ex: x2 -3, x +7, x-6, x/6, 6x,)
Variable- what algebra uses to represent
College Algebra Unit 3
Rational Exponents, Radicals, and the
General Factoring Strategy
1
Factoring in general
Factor out the GCF first for all the terms.
1.
2. If there are 3 terms, see if it is in the
trinomial form and if so try to factor using
the AC
College Algebra Unit 6
Linear Functions and Graphing
1
Relations and Functions
A relations shows what values produce which results.
A function is a relation in which each value has only
one result.
When written in order pairs, the first value is part o
College Algebra Unit 2
Polynomials & Factoring
1
Polynomials
Polynomials have natural number exponents
Add the exponents for the variable for each
term individually. The degree of that
polynomial is the highest sum.
Examples
The degree of is 5
The de
College Algebra Unit 8
Variation and Systems of Equations
1
Solving radical equations only involving square roots
on 1 side of the equation
1.
2.
3.
4.
Solve for the square root
Square both sides of the equation
Solve for x
Check for extraneous roots (fal
College Algebra Unit 10
Exponential and Logarithmic
Equations
1
Definition of a Logarithm
x > 0 and b > 0, ,
For
.
b is the base
y is the exponent
is another way to express the exponent
Important: Working with logarithms is just like
working with exponen
College Algebra Unit 4
Rational Expressions
1
Reducing Rational Expressions
Rational expressions look like rational numbers,
fraction form, but involve polynomials in the
numerator and denominator.
The goal is to simplify, just like with fractions.
Howeve
MM212
COLLEGE ALGEBRA
Unit 1: Basic Algebra
Seminars This Term
If you miss live seminars please listen to an archive.
The Option 2 Assignment is in MML.
It closes on Tuesday night with all other Unit assignments.
Sec
Seminar Day/Time
Faculty
Faculty Email
College Algebra Unit 7
Quadratic Equations
1
Complex Numbers
are numbers of the form a + bi, where a
These
and b are real numbers and
2
Powers of i
The powers of i follow this cyclical pattern.
Determine
3
Operations with Complex Numbers
The operations
College Algebra Unit 9
Exponential and Logarithmic
Functions
1
Definition of a Logarithm
x > 0 and b > 0, ,
For
.
b is the base
y is the exponent
is another way to express the exponent
Important: Working with logarithms is just like
working with exponent
COLLEGE ALGEBRA
Property of Negatives
PROPERTY
EXAMPLES
(-1)a=-a
4xy
(-1)4xy=-
-(-a)=a
-(-6y)=6y
(-a)b=-ab
7*4xy=28xy
(-7)4xy=-
a(-b)=-ab
5x*3y=-15xy
5x(-3y)=-
-(a+b)-a-b
7x+6y
-(7x+6y)=-
-(x-b)=-a+b or b-a
3x+7y=7y-3x
-(3x-7y)=-
If a negative sign or a s
College Algebra Unit 5
Linear Equations
1
Solving Equations Using the Addition, Subtraction, Multiplication, and Division
Properties of Equality Continued
No solution as 11 is not equal to 0, ie
What happens if there is an answer such as 11 = 11? All
re