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# CCSS.Math.Content.HSA.APR.D.7 - (+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions

Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

Title: CCSS.Math.Content.HSA.APR.D.7 (+) Understand That Rational Expressions Form A System... Arithmetic with Polynomials & Rational Expressions - High School Algebra Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

(Page last edited 10/08/2017)

1. Arithmetic with Polynomials - Worksheet 7 - 10 problems are presented in a PDF worksheet to test the student's knowledge of understanding rational expressions.
2. Arithmetic with Polynomials - Worksheet 7 - Answer Key - An answer key is provided in PDF form showing work required for completing the PDF worksheet that tests the student's knowledge of understanding rational expressions.
3. Rational functions and expressions - Add and subtract rational expressions
4. Rational functions and expressions - Multiply and divide rational expressions
5. Rational functions and expressions - Add and subtract rational expressions
6. Rational functions and expressions - Multiply and divide rational expressions
7. Simplifying Rational Expressions: Example 1 - Video Lesson One: The following problem is worked as an example of simplifying rational expressions: Given a rectangle with a length a2 + 6a -27 and a width of a2 - 9, write the ratio of the width of the rectangle to its length as a simplified rational expression.
8. Simplifying Rational Expressions: Example 2 - Video Lesson Two: The following problem is worked as an example of simplifying rational expressions: (2x2 + 13x + 20)/(2x2 + 17x + 30).
9. Simplifying Rational Expressions: Example 3 - Video Lesson Three: The following problem is worked as an example of simplifying rational expressions: Simplify the rational expression and state the domain: (x2 - 36)/(6 - x).
10. Simplifying Rational Expressions: Introduction - A video lesson introducing the topic is provided starting with simple fractions and progressing to rational expressions involving variables.
11. Understanding Rational Expressions - A rational expression is any polynomial divided by any polynomial except for zero. If your students don't already know, dividing by zero is catastrophic. In fact, many esteemed mathematicians believe the apocalypse will result from dividing by zero. Students should understand that rational expressions are closed under addition, subtraction, multiplication, and division.

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