# Ch 9: Praxis Mathematics: Algebraic Fractions

### About This Chapter

## Praxis Mathematics: Content Knowledge - Algebraic Fractions: Chapter Summary

You can learn to add, subtract, multiply and divide algebraic fractions through this chapter. Also included in this series of online videos are several practice problems to solidify your skills in this area. This chapter can serve as a study guide if you're preparing to take the Praxis Mathematics: Content Knowledge test, which is used by a number of U.S. states as a component of their secondary teacher certification process. The Praxis is offered at various times throughout the year in both computer- and paper-based formats.

### Praxis Mathematics: Content Knowledge - Algebraic Equations Objectives

Approximately 16% of the Praxis Mathematics: Content Knowledge test centers on algebra and number theory. You'll have two hours to complete the test's 50 multiple-choice questions, some of which require use of a graphing calculator. Other content areas covered in the Praxis math exam include geometry, trigonometry, calculus, data analysis and statistics, and discrete mathematics.

Much of this chapter will cover topics you've already explored in your bachelor's degree program; however, you might learn some new concepts or find some new tricks that can help you on the Praxis. You can begin each lesson in this chapter by taking the self-assessment quiz; then, watch the accompanying video, which was developed by an experienced professional educator. You might want to complete the lesson by taking the quiz a second time to see if you've fully absorbed the information.

### 1. How to Multiply and Divide Rational Expressions

Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.

### 2. Multiplying and Dividing Rational Expressions: Practice Problems

Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.

### 3. How to Add and Subtract Rational Expressions

Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.

### 4. Practice Adding and Subtracting Rational Expressions

Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!

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### Other Chapters

Other chapters within the Praxis Mathematics - Content Knowledge (5161): Practice & Study Guide course

- Praxis Mathematics: Counting Numbers Properties
- Praxis Mathematics: Rational and Irrational Numbers
- Praxis Mathematics: Solving Problems with Reasoning
- Praxis Mathematics: Percents
- Praxis Mathematics: Ratios and Proportions
- Praxis Mathematics: Scientific Notation & Order of Magnitude
- Praxis Mathematics: Algebraic Expressions
- Praxis Mathematics: Algebraic Equations
- Praxis Mathematics: Linear Equations
- Praxis Mathematics: Systems of Equations
- Praxis Mathematics: Radicals Operations
- Praxis Mathematics: Exponents
- Praxis Mathematics: Distance
- Praxis Mathematics: Functions
- Praxis Mathematics: Inverse Functions
- Praxis Mathematics: Logarithmic Functions
- Praxis Mathematics: Rational Functions
- Praxis Mathematics: Complex Numbers Operations
- Praxis Mathematics: Sequences, Series & Probability
- Praxis Mathematics: Combinations & Permutations
- Praxis Mathematics: Quadratic Equations
- Praxis Mathematics: Polynomials
- Praxis Mathematics: Matrix Algebra
- Praxis Mathematics: Algebraic Formulas
- Praxis Mathematics: Measurement
- Praxis Mathematics: Area
- Praxis Mathematics: Polygons
- Praxis Mathematics: Quadrilaterals
- Praxis Mathematics: Circles
- Praxis Mathematics: Triangles
- Praxis Mathematics: Congruence, Similarity and Transformations
- Praxis Mathematics: Three-Dimensional Space and Volume
- Praxis Mathematics: Data
- Praxis Mathematics: Distributions
- Praxis Mathematics: Graphing
- Praxis Mathematics: Trigonometry
- Praxis Mathematics: Continuity
- Praxis Mathematics: Asymptotes
- Praxis Mathematics: Limits
- Praxis Mathematics: Derivatives
- Praxis Mathematics: Integrals
- Praxis Mathematics: Optimization and Differentiation
- Praxis Mathematics: Theorems
- Praxis Mathematics: Statistics
- Praxis Mathematics: Interpreting Statistics
- Praxis Mathematics: Understanding Logic
- Praxis Mathematics: Content Knowledge Flashcards