## Proportional Relationships Word Problems

#### Aligned To Common Core Standard:

**Grade 7 Proportions** - 7.RP.A.2c

What are Proportional Relationships? When two different values have ratios that are equivalent to one another, we say that a proportional relationship exists between these two variables. If they are points on a graph or a system that can be graphed, we can easily tell how the second variable is going to change if we adjust the first variable. When we can spot or when we are told that two variables have a proportional relationship, we can do a great deal with that information to predict, very accurately, how the values of these two variables under a wide range of different circumstances. These worksheets and lessons will present students with wor problems that require them to find or interpret proportional relationships.

### Printable Worksheets And Lessons

- Orange Prices Step-by-step
Lesson- What is the constant in orange prices. Who knew fruit
prices were so mathematical?

- Guided Lesson -
We look for proportionality in pens, selling candy, and baking cakes.

- Guided Lesson Explanation
- I find it very helpful to use data charts to help explain these
types of problems. That is why you will see them everywhere in this
explanation.

- Practice Worksheet -
There are a lot of interesting questions in this one. I think you
will enjoy the diversity of questions.

- Matching Worksheet - Work with equations to answer every one of these. A good algebra complement exercise.
- Ratio and Proportion Word Problems Five Worksheet Pack - The word problem establishes some what of a rate based system. Use that to answer each question.
- Word Based Proportions Five Worksheet Pack - If fills like stuffed bread, a ratio with words stuffed in there.
- Word Proportions Five Worksheet Pack - Very similar concept to the previous five pack, just a cleaner font.

#### Homework Sheets

At this level you are given the equation for the relationship which makes it pretty easy to understand.

- Homework 1 - The price of bananas at the store can be determined by the equation: P = $0.40s, where P is the price of the banana and s is the number of pounds of bananas. What is the constant of proportionality (unit rate)?
- Homework 2 - The number of apples sold can be determined by the equation T =0.6c, where T is number of apples and c is the number of children. Find the constant of proportionality.
- Homework 3 - The price of plums at a store can be determined by the equation: T =$0.80n, where T is the price and n is the number of plum. What is the unit rate?

#### Practice Worksheets

The practice problems expect you to dig a little deeper into where this is all going.

- Practice 1 - The cost of egg rolls can be determined by the equation: E =$2h, where E is the cost and h is the number of egg rolls. How much would 17 egg rolls cost?
- Practice 2 - The sandwiches baked in a certain number of hours can be determined by the equation: S = 3h, where S is the number of sandwiches and h is the number of hours. Use a graph or table to calculate the constant of proportionality.
- Practice 3 - The number of burgers made can be determined by the equation: B =7h, where B is the number of burgers and h is the number of hours. Make a graph to display the relationship.

#### Math Skill Quizzes

The second quiz requires a little bit of critical thinking. Otherwise, it is mostly proportions for you to work with.