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Home
Elementary algebra
Rational expressions
Rational expressions
OpenStax
@
Objectives
Rational expressions
1
Overview
2
Rational expressions
3
Zero-factor property
4
Sample set a
5
Practice set a
6
The equality property of fractions
7
The negative property of fractions
8
Sample set b
9
Practice set b
10
Exercises
11
Exercises for review
Reducing rational expressions
1
Overview
2
The logic behind the process
3
Cancelling
4
The process
5
Sample set a
6
Practice set a
7
Excercises
8
Excercises for review
Multiplying and dividing rational expressions
1
Overview
2
Multiplication of rational expressions
3
Sample set a
4
Practice set a
5
Division of rational expressions
6
Sample set b
7
Practice set b
8
Excercises
9
Exercises for review
Building rational expressions and the lcd
1
Overview
2
The process
3
Sample set a
4
Practice set a
5
The reason for building rational expressions
6
The least common denominator (lcd)
7
Sample set b
8
Practice set b
9
Sample set c
10
Practice set c
11
Exercises
12
Excercises for review
Adding and subtracting rational expressions
1
Overview
2
Basic rule
3
Fractions with the same denominator
4
Sample set a
5
Practice set a
6
Fractions with different denominators
7
Sample set b
8
Practice set b
9
Sample set c
10
Practice set c
11
Exercises
12
Exercises for review
Rational equations
1
Overview
2
Rational equations
3
Rational equations
4
The logic behind the process
5
The process
6
Extraneous solutions
7
Sample set a
8
Practice set a
9
Sample set b
10
Practice set b
11
Section 7.6 exercises
12
Exercises for review
Applications
1
Overview
2
The five-step method
3
Sample set a
4
Practice set a
5
Sample set b
6
Practice set b
7
Sample set c
8
Practice set c
9
Sample set d
10
Practice set d
11
Sample set e
12
Practice set e
13
Sample set f
14
Practice set f
15
Exercises
16
Exercises for review
Complex rational expressions
1
Overview
2
Simple and complex fractions
3
The combine-divide method
4
Sample set a
5
Practice set a
6
The lcd-multiply-divide method
7
Sample set b
8
Practice set b
9
Exercises
10
Exercises for review
Dividing polynomials
1
Overview
2
Dividing a polynomial by a monomial
3
Sample set a
4
Practice set a
5
The process of division
6
Review of subtraction of polynomials
7
Dividing a polynomial by a polynomial
8
Sample set b
9
Practice set b
10
Sample set c
11
Practice set c
12
Exercises
13
Exercises for review
Summary of key concepts
Exercise supplement
1
Exercise supplement
2
Rational expressions ( )
3
Reducing rational expressions ( )
4
Multiplying and dividing rational expressions ( ) - adding and subtracting
5
Rational equations ( )
6
Applications ( )
7
Dividing polynomials ( )
Proficiency exam
1
Proficiency exam
Source:
OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
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