About This Chapter
Overview of Basic Algebra - Chapter Summary
In this informative chapter, our instructors provide an overview of basic algebra. Topics covered in these interesting lessons include adding and subtracting rational numbers and simplifying and expanding algebraic expressions. You'll also see how to translate words to algebraic expressions. After completing this chapter, you should be ready to:
- Explain what a linear equation is
- Discuss standard form and intercepts of linear equations and to graph them
- Define point-slope form
- Write and solve a linear equation correctly
- Graph linear inequalities
- Complete practice linear inequality problems
- Solve systems of linear equations in two variables
In this chapter, you'll find mobile-friendly resources that have been written by expert instructors to help you fully understand these math concepts. You can either watch an entire video lesson for review or skip to a specific section using the video tabs feature in the Timeline. As a great way to prepare for a test, take the lesson quizzes and chapter test to see how well you've understood this material.
1. 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.
2. Expanding & Simplifying Algebraic Expressions
In this lesson, you will learn how to use algebraic operations to expand and simplify expressions with one variable. You will also gain an understanding of how algebraic expressions can be used in real-life.
3. Translating Words to Algebraic Expressions
When it comes to word problems, the easiest way to solve them is to look for keywords and change them into math symbols. Watch this video lesson to find out what keywords you should look for and what math symbols they represent.
4. What is a Linear Equation?
Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.
5. Linear Equations: Intercepts, Standard Form and Graphing
Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.
6. Point-Slope Form: Definition & Overview
A linear equation is an algebraic equation that, when graphed, creates a straight line. The point-slope form is one way to write a linear equation. This lesson will teach you how to write a linear equation in point-slope form and give you some examples.
7. How to Write a Linear Equation
Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.
8. Solving Linear Equations: Practice Problems
With practice, linear equations can be straightforward to solve. In this lesson, we'll define linear equations and learn how to solve them. We'll look at multiple practice problems and walk through solving each one.
9. Linear Inequality: Solving, Graphing & Problems
If you can solve linear equations, you can solve linear inequalities. In this lesson, you will learn how similar the solving processes are. You will also learn the notations you need to use when graphing linear inequalities.
10. Solving Linear Inequalities: Practice Problems
Linear inequalities may look intimidating, but they're really not much different than linear equations. In this lesson, we'll practice solving a variety of linear inequalities.
11. How to Solve a System of Linear Equations in Two Variables
Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.
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Other chapters within the GACE Special Education Mathematics & Science (088): Practice & Study Guide course
- Working with Real Numbers
- Fractions, Decimals, Percents & Ratios
- Understanding Number Theory & Estimation
- Patterns & Sequences in Algebra
- Characteristics & Relationships of Functions
- Solving Basic Geometric Problems
- Points, Lines, Rays & Angles
- Solving Angle Problems with Triangles & Quadrilaterals
- Geometric Relationships in the Coordinate Plane
- Solving Problems Involving Systems of Measurement
- Displaying & Interpreting Data
- Measures of Central Tendency
- Statistical Models & Processes
- Understanding Probability, Combinations & Permutations
- Scientific Inquiry & Design
- Nature of Scientific Knowledge
- Major Developments & Historical Figures in Science
- Collecting & Evaluating Scientific Data
- Science Laboratory & Field Equipment Safety
- Environmental Effects of Science & Technology
- Energy Production & Natural Resource Management
- Science & Technology in Consumer Products
- Atoms, Energy & Matter
- Concepts & Relationships Between Energy & Matter
- Basics of the Periodic Table
- Chemical Compounds & Reactions
- Acid-Base Chemistry
- Solutions & Solubility
- Concepts of Mechanics Overview
- Electricity & Magnetism Overview
- Waves & Optics Overview
- Structure & Function of Cells & Organelles
- Basic Biochemistry of Life
- Basic Genetics
- Evolution, Natural Selection & Biological Diversity
- Hierarchical Classification of Living Things
- Understanding Plant Structures & Function
- Animal & Human Anatomy & Physiology
- Population Dynamics & Ecology
- Rocks, Minerals & Soil Overview
- Earth's Structure, Shape & Processes
- Historical Geology
- Understanding the Earth's Oceans
- Freshwater Characteristics & Processes
- Atmosphere & Weather
- Climate, Seasons & Geography
- Exploring Features of the Solar System
- Earth-Moon-Sun System
- GACE Special Education Mathematics & Science Flashcards