University of Saskatchewan (Canada)
University of Saskatchewan: Exponents and Exponential Functions
This site reviews the basic properties of exponents, and explains rational exponents and exponential functions, including those with base "e." Provides examples and lots of exercises.
Khan Academy
Khan Academy: Simplifying Rational Expressions
Have you learned the basics of rational expression simplification? Great! Now gain more experience with some trickier examples.
Math Planet
Math Planet: Algebra 2: Basic Knowledge of Polynomial Functions
Polynomial functions are investigated through examples and a video lesson. [0:57]
Analyze Math
Analyze Math: Simplify Rational Expressions
Learners explore the Pre-Calculus concept of rational expressions. The tutorial examines how to simplify rational expressions. The activity consists of examples and practice exercises with detailed solutions.
![Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 6 [Pdf] Unknown Type](https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png "Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 6 [Pdf] Unknown Type")
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 6 [Pdf]
The exercise examines partial fraction decomposition of a rational function. Students determine any vertical asymptotes of the rational function and the terms of the decomposition. The rational function graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 1 [Pdf]
Students write the partial fraction decomposition of a rational function and identify the graphs of the rational function and each term of the decomposition. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 2 [Pdf]
Students write the partial fraction decomposition of a rational function and identify the graphs of the rational function and each term of the decomposition. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 3 [Pdf]
The practice problem investigates the decomposition of a rational function. The graphs of the rational function and each term of its decomposition are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 4 [Pdf]
The practice problem investigates the decomposition of a rational function. The graphs of the rational function and each term of its decomposition are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 7 [Pdf]
Students identify any vertical asymptotes of a rational function and the terms of the partial fraction decomposition. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 8 [Pdf]
Students identify any vertical asymptotes of a rational function and the terms of the partial fraction decomposition. The graph is available in PDF format.
Lawrence Hall of Science
The Math Page: Topics in Precalculus
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Domain and Range
This page from the Math Forum contains a question and answer session on how to find range in rational functions. Example problem is given.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 5 [Pdf]
The exercise examines partial fraction decomposition of a rational function. Students determine any vertical asymptotes of the rational function and the terms of the decomposition. The rational function graph is available in PDF format.
Khan Academy
Khan Academy: Intro to Rational Expressions
This lesson will introduce you to rational expressions. You will learn how to determine when a rational expression is undefined and how to find its domain.
Khan Academy
Khan Academy: Reducing Rational Expressions to Lowest Terms
Learn what it means to reduce a rational expression to lowest terms, and how it's done!
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Rational Zero Theorem
This tutorial will show you how to use the rational zero theorem, to find all zeros of a polynomial function, and how to use Descartes' rule of signs. Offers step-by-step solutions to example problems as well as practice problems for you...
Paul Dawkins
Paul's Online Notes: Algebra & Trig Review
The tutorial reviews algebra and trigonometric topics needed in Calculus. Topics examined are solving equations, rational expressions, absolute value, solving trigonometric functions, exponentials, and logarithms. Class notes,...
National Council of Teachers of Mathematics
The Math Forum: Drexel University: Example With Rational Root Theorem
This site from Drexel University solves a problem of finding the rational roots of a polynomial using the rational roots theorem, also known as the rational zero theorem.
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Other
Math Mistakes: Common Algebra Mistakes
Learn from other student's mistakes by reviewing examples of the following Algebra topics: rational expressions, radical expressions, function notation, solving linear equations, solving linear inequalities, solving quadratic equations,...
CK-12 Foundation
Ck 12: Precalculus Concepts 2.0
A complete high school Precalculus Concepts course. Includes 'Related Modalities' for each lesson that teach the same concept in different ways. The text materials follows Algebra II and comes before Calculus or Statistics. The content...
Khan Academy
Khan Academy: Nested Fractions
Simplify rational expressions that contain rational expressions within their numerators or denominators. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.