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Common Core for Grade 7

Common Core for Mathematics

More Lessons for Grade 7

Videos and lessons to help Grade 7 students 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.”*

Common Core: 7.EE.2

### Suggested Learning Targets

**Use Distributive Property to Write an Equivalent expression**

Example:

Rewrite an 2(9+5k) and 5(3m+2) using the distributive property.

**Use Distributive Property to Write Equivalent Expressions**

Example:

Learn how to take an expression like 12a+8b and rewrite it using the distributive property.**Using the Distributive Property to Simplify Expressions**

Example:

Simplify the following expressions using the distributive property.

1. 2(6m + 7)

2. 7(5 + 7b)

3. 4(4n + 3)

4. 8(t + 9)

5. 4(2m + 3) + 6m + 5

6. 3(m + 7) + m + 2

**Rewriting Linear Expressions**

Examples:

1. Are the following expressions equivalent? If so, explain how you determined your answer. If not, explain how they differ.

Expression #1: 10(4x) - 5x

Expression #2: 35x

2. Two different clients are bidding on the same house. Client #2 bids 8% more than client #1. The expression x + 0.08x can be used to determine the amount that client #2 bid. Write an expression that is equivalent to the given expression, and explain how it might be more helpful in determining the amount the client #2 bid.

3. A rectangle is 6 inches longer than it is wide. Write and simplify an expression for the perimeter of the rectangle in terms of the width, w.

**Compare Expressions (7.EE.A.2)**

Examples:

1. A medicine requires that you take 20 drops of medicine along with an additional 2 drops for every pound that you weigh over 50 lbs. Write an expression to represent the amount of medicine one should take based on your weight 'w'.

2. The goal for the diet is that everyone should lose 1/5 of their body weight. Write an expression for their new weight.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 7

Common Core for Mathematics

More Lessons for Grade 7

Videos and lessons to help Grade 7 students 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.

Common Core: 7.EE.2

- I can rewrite an expression in different forms.
- I can explain that an expression written in different forms can shed light on a problem.
- I can describe the relationship between different quantities.

Example:

Rewrite an 2(9+5k) and 5(3m+2) using the distributive property.

Example:

Learn how to take an expression like 12a+8b and rewrite it using the distributive property.

Example:

Simplify the following expressions using the distributive property.

1. 2(6m + 7)

2. 7(5 + 7b)

3. 4(4n + 3)

4. 8(t + 9)

5. 4(2m + 3) + 6m + 5

6. 3(m + 7) + m + 2

Examples:

1. Are the following expressions equivalent? If so, explain how you determined your answer. If not, explain how they differ.

Expression #1: 10(4x) - 5x

Expression #2: 35x

2. Two different clients are bidding on the same house. Client #2 bids 8% more than client #1. The expression x + 0.08x can be used to determine the amount that client #2 bid. Write an expression that is equivalent to the given expression, and explain how it might be more helpful in determining the amount the client #2 bid.

3. A rectangle is 6 inches longer than it is wide. Write and simplify an expression for the perimeter of the rectangle in terms of the width, w.

Examples:

1. A medicine requires that you take 20 drops of medicine along with an additional 2 drops for every pound that you weigh over 50 lbs. Write an expression to represent the amount of medicine one should take based on your weight 'w'.

2. The goal for the diet is that everyone should lose 1/5 of their body weight. Write an expression for their new weight.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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