# Ch 8: Algebraic Equations and Expressions: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering high school algebra I material will benefit from taking this course. There is no faster or easier way to learn high school algebra I. Among those who would benefit are:

- Students who have fallen behind in understanding how to express relationships and evaluate expressions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about algebraic expressions and equations
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the algebraic expressions and equations chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the algebraic expressions and equations chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any algebraic expressions or equations question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in an algebraic expressions and equations unit of a standard high school algebra I course. Topics covered include:

- Understanding and evaluating math formulas
- Expressing relationships as algebraic expressions
- Evaluating simple algebraic expressions
- Combining like terms in algebraic expressions
- Simplifying algebraic 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 21. Coefficients: Definition & Concept

Coefficients come in different forms and can tell you many things about a graph. Learn more about coefficient in this lesson, and check your understanding with a quiz.

### 22. Leading Coefficient: Definition & Explanation

Leading coefficients can help you predict what a graph will look like before you actually see it. In this lesson, you'll learn about leading coefficients and how to use them.

### 23. Inverse Variation: Definition, Equation & Examples

Have you heard of an inverse variation? Don't worry, most people haven't, but it's really quite simple. If you've ever ridden a bike, you've seen inverse variations in action. This lesson will fill you in - read on for details.

### 24. What is a Constant in Math? - Definition & Overview

This lesson will discuss the meaning of the word constant as well as define it. It will show you how to recognize and pick out constant values of given expressions through a series of examples.

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### Other Chapters

Other chapters within the High School Algebra I: Help and Review course

- High School Algebra - Basic Arithmetic: Help and Review
- High School Algebra - Solving Math Word Problems: Help and Review
- High School Algebra - Decimals and Fractions: Help and Review
- High School Algebra - Percent Notation: Help and Review
- High School Algebra - Real Numbers: Help and Review
- High School Algebra - Exponential Expressions & Exponents: Help & Review
- High School Algebra - Radical Expressions: Help and Review
- High School Algebra - Properties of Functions: Help and Review
- High School Algebra - Matrices and Absolute Value: Help and Review
- High School Algebra - Working With Inequalities: Help and Review
- High School Algebra - Properties of Exponents: Help and Review
- High School Algebra - Complex and Imaginary Numbers: Help and Review
- High School Algebra - Algebraic Distribution: Help and Review
- High School Algebra - Linear Equations: Help and Review
- High School Algebra - Factoring: Help and Review
- Factoring & Graphing Quadratic Equations: Help & Review
- The Properties of Polynomial Functions: Help & Review
- High School Algebra - Rational Expressions: Help and Review
- High School Algebra - Cubic Equations: Help and Review
- High School Algebra - Quadratic Equations: Help and Review
- High School Algebra - Measurement and Geometry: Help and Review
- Ratios, Proportions & Percent in Algebra: Help & Review
- Statistics, Probability and Data in Algebra: Help and Review
- High School Algebra - Well-Known Equations: Help and Review