# 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

Algebraic expressions, or mathematical sentences with numbers, variables, and operations, are used to express relationships. Learn how to solve algebraic expressions with various operations, such as addition and multiplication, and using multipe variables.

### 2. Practice Simplifying Algebraic Expressions

Algebraic expressions are simplified using two useful concepts: combining like terms and the distributive property. Learn how to use combining like terms and the distributive property to simplify algebraic expressions, and understand the solutions to the practice problems.

### 3. Problem-Solving using Linear Equations

Word problems can be solved after being translated into linear equations. Learn what a linear equation is and how to use it to solve simple problems, and take a look at some real-world practice problems.

### 4. Solving Linear Equations: Practice Problems

Linear equations are algebraic expressions of a line. Become familiar with recognizing and solving linear equations through examples and practice problems.

### 5. Solving Equations Using the Addition Principle

When solving equations using the addition principle, addition or subtraction done on one side of an equation must be done on the other side to remain the same. Learn more about this addition principle as well as three examples of it in practice.

### 6. Solving Equations Using the Multiplication Principle

When solving equations using the multiplication principle, multiplication or division must be done on both sides of the equation to stay the same. Learn more about this principle, including how to use it and some examples in multiplication and division.

### 7. How to Solve Equations with Multiple Steps

Solving an algebraic equation can involve multiple steps of addition, subtraction, multiplication, and division to isolate the variable. Learn how to solve equations with multiple steps, and practice the correct order of the steps with examples.

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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