Curated OER
Mixing Fertilizer
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Education Development Center
Rectangles with the Same Numerical Area and Perimeter
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Illustrative Mathematics
Bookstore Account
We use debt often to describe negative numbers and your learners will be able to see how it translates into math. They will be asked to go through a series of transactions and make simple equations for each one, following it with a...
Illustrative Mathematics
Combined Fuel Efficiency
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Sophia Learning
Sophia: Addition and Subtraction of Rational Expressions
Use the examples to find the least common denominator in order to add and subtract rational expressions.
Purple Math
Purplemath: Adding & Subtracting Rational Expressions: Introduction
Finding common denominators is no problem with Purplemath. Use this lesson to learn how to add and subtract rational expressions with these great examples.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Equations With Rational Expressions
Using this tutorial, you will learn to solve equations with rational expressions by following step-by-step examples, viewing video explanations, and completing practice questions.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Adding Algebraic Fractions
Here is a site that clearly and thoroughly explains adding algebraic fractions (rational expressions) both with common denominators and with different denominators. There are example problems solved, problems for the student to attempt,...
Lawrence Hall of Science
The Math Page: Skill in Algebra: Multiplying & Dividing Algebraic Fractions
Here is a site that clearly and thoroughly explains multiplying and dividing algebraic fractions (rational expressions). There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Help Algebra
Help algebra.com: Simplifying Rational Expressions
The process of factoring and canceling is used to simplify, multiply, and divide rational expressions. Adding and subtracting rational expressions is also demonstrated, including finding common denominators.
Help Algebra
Help algebra.com: Rational Expressions
In addition to defining rational expressions, this resource demonstrates how to find the excluded values and zeros of the expressions.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Skill in Algebra: Algebraic Fractions
Explains how to find a common denominator between two rational expressions and how to reduce a fraction that involves factoring. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Other
Algebra.com: Homework Solvers
This site offers both instruction and homework help in several algebraic topics, including topics within Pre-Algebra, Algebra I, and Algebra II.
Oswego City School District
Regents Exam Prep Center: Undefined Fractions
This algebra tutorial helps students determine when a fraction is undefined and includes examples with rational expressions.
Oswego City School District
Regents Exam Prep Center: Simplifying (Or Reducing) Fractions
At this site from the Oswego City School District, you can learn how to simplify fraction (rational expression) that contain monomials or higher degree polynomials. Reducing fractions is made easier with help from this page.
Oswego City School District
Regents Exam Prep Center: Adding and Subtracting Fractions
Use this site to learn how to add and subtract algebraic fractions, even if there aren't common denominators. Provides plenty of examples.
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,...
Saddleback College
Algebra2 Go: Beginning Algebra
The resource consists of comprehensive notes, videos, and worksheets through which students can review algebra concepts.
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,...