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Khan Academy

Khan Academy: Algebra Ii: Divide Polynomials by Linear Expressions

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a linear binomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x)....
Lesson Plan
Khan Academy

Khan: Lsn 12: Exponential Functions, Equations, Expressions and Radicals

For Teachers 9th - 10th
Lesson 2 of 4 for Passport to Advanced Math. Young scholars will build quadratic and exponential functions that model a given context; solve radical equations; work with rational expressions, including fractions with a variable in the...
Activity
Help Algebra

Help algebra.com: Simplifying Rational Expressions

For Students 9th - 10th Standards
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.
Activity
Help Algebra

Help algebra.com: Rational Expressions

For Students 9th - 10th
In addition to defining rational expressions, this resource demonstrates how to find the excluded values and zeros of the expressions.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Rational Algebraic Expressions

For Students 9th - 10th Standards
The tutorial investigates rational algebraic expressions. Students learn about the concept through class notes, examples, and practice problems.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra

For Students 9th - 10th
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Partial Fraction Decompositions

For Students 9th - 10th Standards
A short lesson on rational expressions. Includes a definition, examples, and exercises to choose from from introductory, moderate, or advanced.
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University of Saskatchewan (Canada)

University of Saskatchewan: Algebra 2 Review

For Students 9th - 10th
A more advanced review of Algebra II concepts allows students to test their readiness for higher level math courses. Topics range from absolute value to rational expressions.
eBook
Other

Saylor Academy: Solving Rational Equations

For Students 9th - 10th Standards
Explains and models the steps to follow for solving rational equations, along with two examples for literal equations. Includes practice exercises with answers provided.
Handout
CK-12 Foundation

Ck 12: Algebra: Solving Rational Equations Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to review solving rational equations. Examples are included.
Activity
Texas Instruments

Texas Instruments: Rational Functions and Their Asymptotes

For Teachers 9th - 10th Standards
In these questions, students identify asymptotes and removable discontinuities of rational functions, simplify rational expressions, and solve rational equations. Solutions and explanations are included.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Simplifying Rational Expressions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson applies the laws of exponents to rational exponents.
PPT
Sophia Learning

Sophia: Simplifying Rational Expressions: Lesson 2

For Students 9th - 10th Standards
This lesson demonstrates how to simplify rational expressions. It is 2 of 6 in the series titled "Simplifying Rational Expressions."
Unit Plan
Sophia Learning

Sophia: Simplifying Rational Expressions: Lesson 6

For Students 7th - 8th
This lesson demonstrates how to simplify rational expressions. It is 6 of 6 in the series titled "Simplifying Rational Expressions."
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Khan Academy

Khan Academy: Algebra: Rational Equations (Advanced)

For Students 9th - 10th Standards
Solve equations that have one rational expression whose numerator and denominator are polynomial expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Unit Plan
Oregon State University

Oregon State University: Rational Functions

For Students 11th - 12th Standards
A look at graphs of rational expressions, finding properties of the graph by using calculus. Formulas included.
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Khan Academy

Khan Academy: Add & Subtract Rational Expressions

For Students 10th
Example: Subtract and simplify (a-2)/(a+2) - (a-3)/(a^2+4a+4).
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Khan Academy

Khan Academy: Add & Subtract Rational Expressions: Like Denominators

For Students 10th
Example: Add and simplify 6/(2x^2-7) + (-3x-8)/(2x^2-7).
Unknown Type
Khan Academy

Khan Academy: Add & Subtract Rational Expressions: Factored Denominators

For Students 10th
Example: Add and simplify x/(2x+1)(x-7) + 2x^2/(2x-3)(x-7).
eBook
CK-12 Foundation

Ck 12: 2.4 Solving Rational Equations

For Students 9th - 10th Standards
This section builds from previous sections on simplifying, multiplying, dividing, adding, and subtracting rational expressions, and it investigates how to apply those skills to solving rational equations. It also covers several...
Activity
Oswego City School District

Regents Exam Prep Center: Practice With Multiplication of Rational Expressions

For Students 9th - 10th Standards
Exercises are provided for practice with multiplying rational expressions containing variables.
Activity
Oswego City School District

Regents Exam Prep Center: Simplifying (Or Reducing) Fractions

For Students 9th - 10th Standards
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.
Activity
Oswego City School District

Regents Exam Prep Center: Undefined Fractions

For Students 9th - 10th
This algebra tutorial helps students determine when a fraction is undefined and includes examples with rational expressions.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Sums and Differences

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers adding and subtracting rational expressions where the denominators are different.

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