Practice Rate of Change (Algebraic) in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The ratio of how much one quantity changes to how much another quantity changes โ€” measured over an interval.

Miles per hour, dollars per item, degrees per minute โ€” change per unit.

Example 1

easy
A car travels 150 miles in 3 hours. What is its average rate of change (speed)?

Example 2

medium
Find the average rate of change of f(x) = x^2 from x = 1 to x = 4.

Example 3

easy
A plant grows from 5 cm to 17 cm in 4 weeks. What is the average growth rate?

Example 4

hard
Find the average rate of change of g(x) = 2x^2 - 3 from x = -1 to x = 3.