Mathematics Grade 7 15 min

Rate of change

Rate of change

What you'll learn

  • Identify the rate of change (slope) from a graph or table of a linear relationship, and express it as a unit rate (e.g., miles per hour) in at least 8 out of 10 attempts.
  • Calculate the rate of change between two points on a graph or in a table, showing all steps, with 75% accuracy.
  • Explain, in their own words, how the rate of change represents the relationship between two quantities in a real-world scenario, providing at least two examples, with clear and accurate explanations.
  • Solve real-world problems involving rate of change by setting up proportions or using the slope formula, correctly answering at least 3 out of 4 word problems.

Tutorial Preview

1

A table shows time and distance. Find the speed in meters/second. Time (s): 2, 4. Distance (m): 10, 20.

2

A line on a graph passes through (1, 3) and (3, 9). What is the rate of change?

3

A baker makes 24 cupcakes in 3 hours. What is the rate in cupcakes per hour?

Sample Practice Questions

Easy
A car travels 120 miles in 2 hours. What is its speed in miles per hour?
0.50 mph
1.60 mph
2.70 mph
3.120 mph
Easy
A table shows pages read. Time (min): 5, 10. Pages: 15, 30. What is the reading rate?
0.2 ppm
1.3 ppm
2.5 ppm
3.15 ppm
Easy
A line passes through points (2, 4) and (4, 8). What is the rate of change?
0.1
1.2
2.3
3.4

Want to practice and check your answers?

Sign up to access all questions with instant feedback, explanations, and progress tracking.

Start Practicing Free

More from Ratios, rates, and proportions

Mathematics for other grades

Frequently asked questions

What grade level is "Rate of change"?

Rate of change is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Rate of change?

You'll be able to: Identify the rate of change (slope) from a graph or table of a linear relationship, and express it as a unit rate (e.g., miles per hour) in at least 8 out of 10 attempts; Calculate the rate of change between two points on a….

Is "Rate of change" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Rate of change?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

Ready to find your learning gaps?

Take a free diagnostic test and get a personalized learning plan in minutes.