About This Chapter
Equations and Inequalities - Chapter Summary
The lessons in this chapter will help you understand general algebraic concepts. You'll learn about algebraic expressions, linear equations and inequalities as you cover basic problem-solving techniques. The video lessons will help you learn how to answer questions about these topics:
- Expressing relationships as algebraic equations
- Evaluating algebraic expressions
- Linear equations
- Writing linear equations
- Problem solving with linear equations
- Linear inequalities
You'll be led through your lessons by skilled instructors who know how to keep your interest and get you ready for your test. They will simplify these algebraic concepts and show you various ways to approach each topic.
1. What is a Variable in Algebra?
Did you ever encounter something like a + b = c and wonder how all these letters snuck into a math problem? In this lesson, we'll learn about variables, as well as other parts of equations, constants and coefficients.
2. Expressing Relationships as Algebraic Expressions
What do you do when you don't know what a number is but you do know how it relates to something else? You use an algebraic expression. In this lesson, we'll learn how to express relationships as algebraic expressions.
3. Evaluating Simple Algebraic Expressions
In this lesson, we'll learn how to evaluate algebraic expressions, which involves substituting numbers for variables and following the order of operations. By the end of the lesson, you'll be an algebraic expression expert.
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. 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.
6. Problem solving using Linear Equations
From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.
7. What is an Inequality?
Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!
8. 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.
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Other chapters within the Math Review for Teachers: Study Guide & Help course
- Fundamental Number Concepts
- Operation Properties & Computation
- Ratios, Proportions and Percents
- Numerical Reasoning
- Geometric Properties of Shapes
- Coordinate Geometry Concepts & Practice Problems
- Systems of Measurement
- Measurement & Scaling for Simple & Complex Figures
- Data Analysis & Visualization
- Probability Concepts & Calculations