# Ch 3: Big Ideas Math Common Core 7th Grade Chapter 3: Expressions and Equations

### About This Chapter

## How It Works:

- Find the lesson within this chapter that corresponds to what you're studying in the Expressions and Equations chapter of your textbook.
- Watch fun videos that cover the expressions and equations you need to learn or review.
- Complete the quiz after watching each video lesson to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.

## Students will learn:

- Defining and simplfying algebraic expressions
- Problem solving with linear equations
- Using the addition and multiplication principles to to solve equations
- Solving multiple-step equations

*Big Ideas Math is a registered trademark of Larson Texts, Inc., which is not affiliated with Study.com.*

### 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.

### 2. 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.

### 3. 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.

### 4. Solving Linear Equations: Practice Problems

With practice, linear equations can be straightforward to solve. In this lesson, we'll define linear equations and learn how to solve them. We'll look at multiple practice problems and walk through solving each one.

### 5. 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.

### 6. 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.

### 7. 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.

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### Other Chapters

Other chapters within the Big Ideas Math Common Core 7th Grade: Online Textbook Help course

- Big Ideas Math Common Core 7th Grade Chapter 1: Integers
- Big Ideas Math Common Core 7th Grade Chapter 2: Rational Numbers
- Big Ideas Math Common Core 7th Grade Chapter 4: Inequalities
- Big Ideas Math Common Core 7th Grade Chapter 5: Ratios and Proportions
- Big Ideas Math Common Core 7th Grade Chapter 6: Percents
- Big Ideas Math Common Core 7th Grade Chapter 7: Construction and Scale Drawings
- Big Ideas Math Common Core 7th Grade Chapter 8: Circles
- Big Ideas Math Common Core 7th Grade Chapter 9: Surface Area & Volume
- Big Ideas Math Common Core 7th Grade Chapter 10: Probability & Statistics