About This Chapter
TACHS: Simplifying and Solving Rational Expressions - Chapter Summary
With the help of these tutorial video lessons, your eight grader can go over and conquer the rules for simplifying and solving rational expressions. Step-by-step techniques and practice problems are included with each lesson. With engaging graphics and animation, the lessons aim to show your student how to release denominators, find common denominators, rewrite fractions and simplify numerators. After studying the videos, your child could understand how to:
- Calculate the answers to a rational equation
- Remember the steps for multiplying, dividing, subtracting and adding rational expressions
- Complete examples involving rational equations
Your student can request assistance with any of the above concepts by utilizing the ask-an-expert function on the Dashboard. The video lessons are short, entertaining and self-paced. They can be watched, paused or stopped online at anytime with the help of a mobile device. Found under the timeline link, video tags highlight the lessons' main points. The written transcripts contain important terms that can be looked up for further clarification. Multiple-choice quizzes are available to gauge your student's understanding of the material.
TACHS: Simplifying and Solving Rational Expressions Chapter Objectives
Problems related to the solving and simplifying of rational expressions may be included in the Mathematics section of the TACHS examination. The three other exam sections are Ability, Language and Reading. Register your child via the Internet and use a credit card to pay the registration fee, which is not refundable. If this isn't convenient, you can also complete a phone or paper registration. You'll receive an Admit Card on which you should print no more than three of your child's Catholic high school choices.
1. How to Solve a Rational Equation
A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!
2. 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.
3. 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!
4. 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.
5. 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.
6. Rational Equations: Practice Problems
Mario and Bill own a local carwash and have several complex tasks that they must use rational equations to solve for an answer. Enjoy learning how they solve these equations to help them with some of their day-to-day tasks.
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Other chapters within the Test for Admission into Catholic High Schools (TACHS): Practice & Study Guide course
- TACHS: Vocabulary Practice
- TACHS: Reading Comprehension
- TACHS: Reading Interpretation & Analysis
- TACHS: Technical & Informational Text
- TACHS: Literary Text
- TACHS: Poetry
- TACHS: Language & Spelling
- TACHS: Sentence Structure & Word Usage
- TACHS: Expressing Ideas in Writing
- TACHS: Number Sense & Operations
- TACHS: Basic Arithmetic Operations
- TACHS: Integers
- TACHS: Irrational & Rational Numbers
- TACHS: Inequality Practice
- TACHS: Estimation in Mathematics
- TACHS: Decimals
- TACHS: Fractions
- TACHS: Percent
- TACHS: Ratios & Proportion
- TACHS: Basic Algebraic Expressions
- TACHS: Algebraic Distribution
- TACHS: Square Roots
- TACHS: Exponents & Exponential Expressions
- TACHS: Scientific Notation
- TACHS: Standard Measurement
- TACHS: Introduction to Geometry
- TACHS: Geometric Measurement
- TACHS: Symmetry, Similarity & Congruence
- TACHS: Properties of Lines
- TACHS: The Coordinate Graph
- TACHS: Transformations in Math
- TACHS: Triangles
- TACHS: Triangle Theorems & Proofs
- TACHS: The Pythagorean Theorem
- TACHS: Graphical Representations of Data
- TACHS: Statistics & Data Analysis
- TACHS: Probability & Permutations
- TACHS: Properties of Functions
- TACHS: Graphing Functions
- TACHS: Factoring
- TACHS: Linear Equations
- TACHS: Systems of Linear Equations
- TACHS: Mathematical Patterns
- TACHS: Mathematical Reasoning
- TACHS: Reasoning Abilities
- TACHS Flashcards