# Ch 1: Common Core Math Grade 7 - Expressions & Equations: Algebraic Expressions

### About This Chapter

**Standard:** Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (CCSS.MATH.CONTENT.7.EE.A.1)

**Standard:**Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. *For example, a + 0.05a = 1.05a means that 'increase by 5%' is the same as 'multiply by 1.05.*' (CCSS.MATH.CONTENT.7.EE.A.2)

## About This Chapter

Students who have mastered this standard are able to use the properties of operations to create equivalent expressions. Use the lessons in this chapter to help students learn about the following:

- Simple algebraic expressions and variables
- Associative, commutative and distributive properties
- Difference between distributing or adding first
- Distributing expressions with numbers and variables
- Multiple-term distribution
- Combining like terms
- Factoring and simplifying expressions

You'll know when your students have achieved mastery of this standard when they are able to apply the properties of operations to add, subtract, expand and factor expressions. They'll also be able to understand that rewriting an expression in different forms can help to clarify a math problem.

### How to Use These Lessons in Your Classroom

Below are some tips to help you incorporate these materials into your lesson plan to meet the Common Core standards.

#### Distribution Worksheet

Show students the lesson 'Distributing First vs. Adding First,' then give them a worksheet with sample expressions. Ask students to simply the expressions both ways, if possible. Then have students determine the simplest method for each expression.

#### Create a Quiz on Like Terms

Watch the video 'Combining Like Terms in Algebraic Expressions.' Let students write quiz questions that involve combining like terms. Compile the questions and then assign them to the class. Practicing this way can make students more aware of the like terms that they should be looking to combine.

#### Use Lesson Quizzes as Bell Ringers

Assign the practice quizzes that accompany each chapter as a bell ringer activity. Have students complete the quiz at the beginning of class. Go over the answers together and address problem areas in that day's classroom instruction.

### 1. 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.

### 2. What is a Variable in Algebra?

Did you ever encounter something like a + b = c and wonder how all these letters snuck into a math problem? In this lesson, we'll learn about variables, as well as other parts of equations, constants and coefficients.

### 3. The Commutative and Associative Properties and Algebraic Expressions

The order of operations is important and useful, but a few mathematical properties highlight cases where order doesn't matter. In this lesson, we'll learn about the commutative and associative properties, which may save you time and effort.

### 4. The Distributive Property and Algebraic Expressions

The order of operations is great. But sometimes we need to bend the rules to simplify an equation. Fortunately, the distributive property gives us a scenario in which this is okay. Learn all about it in this lesson.

### 5. Why Do We Distribute in Algebra? - Explanation & Examples

What's the purpose of distribution in algebra? In this lesson, we'll find out why we distribute. We'll also look at examples and sample problems that involve basic distribution.

### 6. Distributing First vs. Adding First: Differences & Examples

When we need to simplify an expression, how do we know if we should distribute first or add first? In this lesson, we'll look at when this matters and how to make the best decision.

### 7. Distributing Algebraic Expressions with Numbers and Variables

So, you can simplify an algebraic expression when you need to distribute a number? Great! But what if you need to distribute a variable or a variable with an exponent? Learn how in this lesson.

### 8. Distribution of More Than One Term in Algebra

Once we've mastered distributing a single term, it's time to raise the stakes. In this lesson, we'll learn how about distribution involving two, three and even more terms.

### 9. 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.

### 10. What is Factoring in Algebra? - Definition & Example

Factoring with ordinary numbers involves knowing that 6 is the product of 2 and 3. But what about factoring in algebra? In this lesson, we'll learn the essential elements of algebra factoring.

### 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.

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### Other Chapters

Other chapters within the Common Core Math Grade 7 - Expressions & Equations: Standards course