# Equations of Proportional Relationships

Videos and lessons to help Grade 7 students learn how to recognize and represent proportional relationships between quantities.

C. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

Common Core: 7.RP.2c

### Suggested Learning Targets

• I can create proportional relationships from equations.
• I can analyze a proportional equation and explain what each value means.

Related Topics:

Common Core for Mathematics

Represent proportional relationships by equations--Lesson 1 of 6 (Common Core Standard 7.RP.2c)
In this lesson, you will learn how to write an equation that represents the proportional relationship between the total cost and the number of items by finding the unit price.

Represent proportional relationships by equations--Lesson 2 of 6 (Common Core Standard 7.RP.2c)
In this lesson you will learn how to determine the best deal by comparing equations that represent the proportional relationship between the total cost, t and the number of items, n.

Represent proportional relationships by equations--Lesson 3 of 6 (Common Core Standard 7.RP.2c)
In this lesson you will learn how to write an equation that expresses the relationship between the distance and the time by finding the unit rate.

Represent proportional relationships by equations--Lesson 4 of 6 (Common Core Standard 7.RP.2c)
In this lesson you will learn how to compare rates of speed by comparing equations that represent the proportional relationship between the distance, d and the time, t.

Represent proportional relationships by equations--Lesson 5 of 6 (Common Core Standard 7.RP.2c)
In this lesson you will learn how to write equations to represent the proportional relationship between the amount change and the final amount by finding the percent change.

Represent proportional relationships by equations--Lesson 6 of 6 (Common Core Standard 7.RP.2c)
In this lesson you will learn how to calculate simple interest by using the simple interest equation.

Representing Proportional Relationships as Equations.

Constructing an equation for a proportional relationship.

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.