Lines and linear functions

Linear functions: practice and worksheets

Interpret, evaluate, and compare linear functions represented by equations, tables, graphs, and contexts.

346 questions Foundation to advanced Grade 9

Concept overview

A linear function has a constant rate of change. In f(x) = mx + b, m is the rate of change and b is the initial value when x = 0.

Key points

  • Evaluate a function by substituting the input everywhere the variable appears.
  • Find slope as change in output divided by change in input.
  • Compare functions by matching their rates of change and initial values.

Worked example

For f(x) = −3x + 4, f(2) = −6 + 4 = −2. The function decreases by 3 whenever x increases by 1.

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Questions by difficulty

173foundation
115medium
58advanced

Linear functions worksheet practice

Use the printable worksheet for independent practice, then check the answer key and worked explanations.

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Frequently asked questions

How should I practice Linear functions?

Start with foundation questions, check each answer, and move up a level after several correct answers in a row.

How many practice questions are available?

IQClub currently has 346 published questions for this skill.

Can I use this for test preparation?

Yes. The practice reinforces school mathematics and the same reasoning used in high-school tests and entrance exams.

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