Practice Dependent vs Independent Variables in Math

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

Quick Recap

The independent variable is chosen freely as input; the dependent variable's value is then determined by the function rule.

You choose the input (independent), and the function gives the output (dependent).

Example 1

easy
In y = 3x + 2, which variable is independent and which is dependent?

Example 2

medium
A factory's cost is C = 500 + 8n where n is the number of units produced. Identify the variables.

Example 3

easy
In the equation d = 60t (distance = speed × time), which is dependent?

Example 4

medium
On a graph, which axis typically shows the independent variable?
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