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Ch 8: High School Algebra - Algebraic Expressions and Equations: Tutoring Solution

About This Chapter

The Algebraic Expressions and Equations chapter of this High School Algebra I Tutoring Solution is a flexible and affordable path to learning about algebraic expressions and equations. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving algebraic expressions and equations required in a typical high school algebra I course.

How it works:

  • Begin your assignment or other high school algebra I work.
  • Identify the algebraic expressions and equations concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our high school algebra I tutoring solution will benefit any student who is trying to learn algebraic expressions and equations and earn better grades. This resource can help students including those who:

  • Struggle with understanding how to evaluate math formulas, express relationships as algebraic expressions, combine like terms, write equations with inequalities, use the addition principle or any other algebraic expressions and equations topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their algebraic expressions and equations unit
  • Cope with ADD or ADHD
  • Want to get ahead in high school algebra I
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning algebraic expressions and equations simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live high school algebra I tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn algebraic expressions and equations on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Describe the proper setup for solving math problems.
  • Learn how to choose the appropriate math formula for solving a particular math problem.
  • Understand how to express relationships as algebraic expressions.
  • Evaluate simple algebraic expressions.
  • Simplify algebraic expressions by combining like terms.
  • Learn how to simplify algebraic expressions that contain negative signs.
  • Write true/false statements and open sentences using inequalities.
  • Distinguish the different types of algebraic equations.
  • Solve and translate one-step equations.
  • Use the addition and/or multiplication principle to solve equations.
  • Explain how to collect like terms on one side of an equation.
  • Solve equations that contain parentheses.
  • Understand how to solve equations that have no or infinite solutions.
  • Translate words into algebraic expressions.
  • Solve one-step algebraic word problems.
  • List the steps for solving a multistep equation.
  • Learn how to solve multistep algebraic word problems.

21 Lessons in Chapter 8: High School Algebra - Algebraic Expressions and Equations: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions

1. What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions

When it comes to solving math word problems, there is a correct way of setting up the problem and labeling the various parts of the problem so that you can solve the problem easily. Watch this video lesson to learn how you can do it.

Understanding and Evaluating Math Formulas

2. Understanding and Evaluating Math Formulas

With all the formulas out there, how do you know which one to pick? And how do you read formulas anyways? Watch this video lesson and you will find the answers to these questions.

Expressing Relationships as Algebraic Expressions

3. 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.

Evaluating Simple Algebraic Expressions

4. 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.

Combining Like Terms in Algebraic Expressions

5. Combining Like Terms in Algebraic Expressions

When you have an algebraic expression that's much too long, it would be great if you could simplify it. That's when knowing how to combine like terms comes in. In this lesson, we'll learn the process of combining like terms and practice simplifying expressions.

Practice Simplifying Algebraic Expressions

6. 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.

Negative Signs and Simplifying Algebraic Expressions

7. Negative Signs and Simplifying Algebraic Expressions

Don't let negative signs get you down. In this lesson, we'll stay positive as we practice simplifying algebraic expressions that have those tricky negative signs.

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

8. 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.

Common Algebraic Equations: Linear, Quadratic, Polynomial, and More

9. Common Algebraic Equations: Linear, Quadratic, Polynomial, and More

Watch this video lesson to see the kinds of equations that you will come across most often in algebra. Learn to distinguish them by just looking for the identifying components of each equation.

Defining, Translating, & Solving One-Step Equations

10. Defining, Translating, & Solving One-Step Equations

Watch this video lesson to learn how you can write a simple math equation when you are given a word problem. Learn how to translate words into math symbols. Learn the shortcuts to remember.

Solving Equations Using the Addition Principle

11. Solving Equations Using the Addition Principle

In algebra, we have certain principles that we use to help us solve equations quickly and easily. The addition principle is one of them. Watch this video lesson to learn how you can apply it to solve your equations.

Solving Equations Using the Multiplication Principle

12. Solving Equations Using the Multiplication Principle

When it comes to solving equations in algebra, one of the essential skills you need is the ability to multiply. Watch this video lesson to learn how you can use the multiplication principle to isolate your variable.

Solving Equations Using Both Addition and Multiplication Principles

13. Solving Equations Using Both Addition and Multiplication Principles

Most times in algebra, to solve for your variable, you will need to perform more than one operation to get your answer. Watch this video lesson to learn the proper steps to take to solve these equations.

Collecting Like Terms On One Side of an Equation

14. Collecting Like Terms On One Side of an Equation

When you are using algebra to solve your problems, one of your biggest and most often used methods is that of collecting like terms. Watch this video lesson to see how it is done.

Solving Equations Containing Parentheses

15. Solving Equations Containing Parentheses

When we have parentheses in our equations it changes the way we solve them. Now we have an added step to do to remove those parentheses. Watch this video lesson to learn how it is done.

Solving Equations with Infinite Solutions or No Solutions

16. Solving Equations with Infinite Solutions or No Solutions

In algebra, there are two scenarios that give us interesting results. Watch this video lesson to learn how you can distinguish problems that have no answers and problems that have an infinite number of answers.

Translating Words to Algebraic Expressions

17. 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.

How to Solve One-Step Algebra Equations in Word Problems

18. How to Solve One-Step Algebra Equations in Word Problems

Word problems may be considered the most evil math invention ever, but never fear! Just watch this video lesson and you will know how to methodically translate these word problems into simple math and then to solve it.

How to Solve Equations with Multiple Steps

19. How to Solve Equations with Multiple Steps

In algebra, when you want to solve an equation for a particular variable, you will need to perform multiple steps that include adding, subtracting, multiplying, and dividing. Watch this video lesson to learn the order you need to do these steps.

How to Solve Multi-Step Algebra Equations in Word Problems

20. How to Solve Multi-Step Algebra Equations in Word Problems

After watching this video lesson, you will be able to solve word problems like a pro. Learn how to setup your problem, write your equations and then solve your equations to find your answer.

College Algebra Formulas & Examples

21. College Algebra Formulas & Examples

In this lesson, you will be introduced to some of the most commonly used formulas in a college algebra course. Also, you will get to see some examples that use the formulas.

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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Other Chapters

Other chapters within the High School Algebra I: Tutoring Solution course

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