11-5 Solving Rational Equations
Objective
To solve rational equations and proportions
Lesson Vocabulary
- rational equation
A rational equation is an equation that contains one or more rational expressions.
Essential Understanding You can solve a rational equation by first multiplying each side of the equation by the LCD. When each side of a rational equation is a single rational expression, you can solve the equation using the Cross Products Property.
Problem 1 Solving Equations With Rational Expressions
What is the solution of
Plan
Have you seen an equation like this before?
Yes. In Lesson 2-3, you solved equations that contained fractions. As you did there, you can clear the fractions from the equation by multiplying by a common denominator.
Check
See if x = 2 makes
Table of Contents
- 2-1 and 2-2 Solving One- and Two-Step Equations
- 2-3 Solving Multi-Step Equations
- 2-4 Solving Equations With Variables on Both Sides
- 2-5 Literal Equations and Formulas
- 2-6 Ratios, Rates, and Conversions
- 2-7 and 2-8 Solving Proportions and Using Similar Figures
- 2-9 Percents
- 2-10 Change Expressed as a Percent
- 3-1 Inequalities and Their Graphs
- 3-2 Solving Inequalities Using Addition or Subtraction
- 3-3 Solving Inequalities Using Multiplication or Division
- 3-4 Solving Multi-Step Inequalities
- 3-5 Working With Sets
- 3-6 Compound Inequalities
- 3-7 Absolute Value Equations and Inequalities
- 3-8 Unions and Intersections of Sets
- Chapter 1 Foundations for Algebra
- Chapter 2 Solving Equations
- Chapter 3 Solving Inequalities
- Chapter 4 An Introduction to Functions
- Chapter 5 Linear Functions
- Chapter 6 Systems of Equations and Inequalities
- Chapter 7 Exponents and Exponential Functions
- Chapter 8 Polynomials and Factoring
- Chapter 9 Quadratic Functions and Equations
- Chapter 10 Radical Expressions and Equations
- Chapter 11 Rational Expressions and Functions
- Chapter 12 Data Analysis and Probability