Proportional Relationships Worksheet
Explore and understand proportional relationships through various exercises including identifying proportionality, calculating constants, and solving real-world problems.
Includes
Standards
Topics
Proportional Relationships
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following equations represents a proportional relationship?
y = 3x + 2
y = x - 5
y = 4x
y = x/2 + 1
2. In a proportional relationship, the ratio of y to x is always .
3. The constant of proportionality is represented by the variable in the equation y = kx.
4. A car travels 180 miles in 3 hours. Assuming a constant speed, how many miles will it travel in 5 hours? Explain your reasoning.
5. Plot the points (0,0), (1,2), (2,4), (3,6) on the coordinate plane below. Is this a proportional relationship? Explain your answer.
6. All linear relationships are proportional relationships.
True
False
Match each term with its definition.
7. Constant of Proportionality
a. A comparison of two quantities by division.
8. Ratio
b. A relationship between two quantities where their ratio is constant.
9. Proportional Relationship
c. The constant ratio between two proportional quantities.
Related Worksheets
Grade 7 Percent Calculations Worksheet
Practice worksheet for 7th graders on calculating percentages, finding parts, wholes, and percentage changes.
Grade 7 Math: Percent Equation Practice
Practice solving percent equations to find the part, whole, or percentage.
Comparing Rates Worksheet
A Grade 7 math worksheet focusing on comparing rates, unit rates, and problem-solving involving different rates.
Rate, Distance, and Time Worksheet
Practice problems for calculating rate, distance, and time for 7th-grade math students.
Part to Whole Ratio Worksheet
A Grade 7 math worksheet focusing on understanding and calculating part-to-whole ratios, including real-world applications.
Increasing and Decreasing Percentages Worksheet
Practice worksheet for 7th grade students to understand and calculate increasing and decreasing percentages in real-world scenarios.
Percent Discounts Practice
Calculate percent discounts and final prices for various items.
Percentage Story Problems
This worksheet helps 7th-grade students practice solving real-world percentage story problems involving discounts, taxes, tips, and simple interest.