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Ch 14: Algebra Foundations

About This Chapter

This chapter is composed of lessons about the foundations of algebra. In them, you will study information about algebraic expressions, inequalities, linear equations, and systems of equations.

Algebra Foundations - Chapter Summary

This chapter was made to provide you with a review of the fundamentals of algebra. It includes lessons about algebraic expressions, including both equations and inequities. Some of the more specific topics covered in this chapter include:

  • Using algebraic expressions to express relationships
  • Solving problems with polynomials and binomials
  • Writing and solving inequalities
  • Using linear equations to solve problems
  • Factoring quadratic equations
  • Solving systems of equations
  • Systems of equations with two variables

Following your completion of each lesson, be sure to complete the lesson's quiz to find out how well you understand the material. Then use the results of these assessments to find out what topics you may want to study further. At the end of the chapter, you will have an additional chance to test your understanding by taking the practice chapter exam.

9 Lessons in Chapter 14: Algebra Foundations
Test your knowledge with a 30-question chapter practice test
Expressing Relationships as Algebraic Expressions

1. 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.

How to Add, Subtract and Multiply Polynomials

2. How to Add, Subtract and Multiply Polynomials

Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!

Binomial: Definition & Examples

3. Binomial: Definition & Examples

Binomial is a little term for a unique mathematical expression. Learn what makes binomials so special, how to easily identify them, and the mathematical operations that can be performed on them. After the lesson, test yourself with a quiz.

Writing Equations with Inequalities: Open Sentences and True/False Statements

4. Writing Equations with Inequalities: Open Sentences and True/False Statements

After watching this video lesson you will be able to write open sentences and true or false statements that use inequalities. You will also be able to solve and/or determine whether a particular inequality is true or false.

Problem solving using Linear Equations

5. 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.

Write the Standard Form of an Equation by Completing the Square

6. Write the Standard Form of an Equation by Completing the Square

In math, we have a process called completing the square where you take your quadratic equation and rewrite it to make it easier to solve. Watch this video lesson to learn how you can do this process easily yourself.

How to Solve a Quadratic Equation by Factoring

7. How to Solve a Quadratic Equation by Factoring

If your favorite video game, 'Furious Fowls,' gave you the quadratic equation for each shot you made, would you be able to solve the equation to make sure every one hit its target? If not, you will after watching this video!

What is a System of Equations?

8. What is a System of Equations?

So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.

How to Solve a System of Linear Equations in Two Variables

9. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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