Ch 2: Basic Arithmetic & Algebra

About This Chapter

Review the basics of algebra and arithmetic with help from the informative lessons in this chapter. You can work through our video and text lessons on any mobile device or computer 24 hours a day to help you get ready to achieve a great score on an upcoming exam or quiz.

Basic Arithmetic & Algebra - Chapter Summary

In this chapter, you'll learn about basic arithmetic and algebra, including adding, subtracting, multiplying and dividing rational numbers. Our lessons cover arithmetic using decimal numbers and the processes involved in changing between fractions and decimals. Topics also include using quadratic surds to solve equations, the powers and roots of numbers and how to solve inequalities using addition, subtraction, multiplication and division. After you complete this chapter, you should be able to:

  • Convert numbers to scientific notation
  • Explain what an inequality is
  • Give an example of an absolute-value inequality
  • Simplify practice algebraic expressions
  • Use the substitution method to solve equations
  • Solve algebra problems containing fractions

Each one of our video and text lessons is followed by a short multiple-choice quiz you can use to test your understanding before moving on to another lesson or in preparation for an exam. All of our learning materials are accessible 24 hours a day on your mobile device or computer. Or, if you like to study offline, our printable lesson transcripts highlight key concepts and terms. If at any time you need help, reach out to one of our instructors for assistance.

13 Lessons in Chapter 2: Basic Arithmetic & Algebra
Test your knowledge with a 30-question chapter practice test
Adding & Subtracting Rational Numbers

1. Adding & Subtracting Rational Numbers

After watching this video lesson, you will be able to add and subtract rational numbers like a pro. Learn what is involved in adding and subtracting these types of numbers.

Multiplying & Dividing Rational Numbers

2. Multiplying & Dividing Rational Numbers

After watching this video lesson, you will know how to multiply and divide rational numbers. You will know when you need to flip your number and when you don't.

Arithmetic with Decimal Numbers

3. Arithmetic with Decimal Numbers

Watch this video lesson and see how our little professor goes about adding, subtracting, multiplying, and dividing decimal numbers all without the use of a calculator!

Changing Between Decimals and Fractions

4. Changing Between Decimals and Fractions

In this video lesson, you will learn about the usefulness of knowing how to change quickly between decimals and fractions. You will also learn how changing from a decimal to a fraction is different than changing from a fraction to a decimal.

Solving Equations with Quadratic Surds

5. Solving Equations with Quadratic Surds

This lesson will define quadratic surds. We will look at simplifying quadratic surds, and at how to add, subtract, multiply and divide these types of expressions. We will then use operations on quadratic surds to solve various equations.

Powers & Roots of Numbers

6. Powers & Roots of Numbers

This lesson will go over the definitions of powers and roots of numbers. We will also look at some basic properties of each of these and how we can use these properties to work with and simplify these types of expressions.

Converting Numbers to Scientific Notation

7. Converting Numbers to Scientific Notation

After watching this video lesson, you will be able to convert any number you come across into scientific notation. You will also learn why scientific notation is used and where you are most likely to see it.

What is an Inequality?

8. 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!

Solving Inequalities Using Addition, Subtraction, Multiplication & Division

9. Solving Inequalities Using Addition, Subtraction, Multiplication & Division

Solving inequalities is almost identical to solving equations. By using the inverse operation for the inequality, variables are quickly isolated to find solutions.

The Absolute-Value Inequality: Definition & Example

10. The Absolute-Value Inequality: Definition & Example

After watching this video lesson, you will be able to solve absolute value inequalities. Learn how you can easily set up your problem to successfully solve your problem each and every time.

Practice Simplifying Algebraic Expressions

11. Practice Simplifying Algebraic Expressions

In this lesson, we'll practice simplifying a variety of algebraic expressions. We'll use two key concepts, combining like terms and the distributive property, to help us simplify.

Solving Equations with the Substitution Method: Algebra Examples & Overview

12. Solving Equations with the Substitution Method: Algebra Examples & Overview

What does the substitution method have to do with substitute teachers? Learn why you should love substitutes. Also learn how substitutes make your life easier when it comes to solving sets of equations.

How to Solve Algebra Problems with Fractions

13. How to Solve Algebra Problems with Fractions

This lesson will explain how to solve algebra problems that include fractions by modifying the problems to make them easier. It will explain two methods that are closely related to one another.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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