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Linear functions – practice for Year 9

Sample questions on Linear functions with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Year 9
Curriculum area
Relationships, functions and data

Question types: Click the correct point

Rule: Linear functions

A point (x, y) lies on the graph when putting its x into the formula gives its y.

In y = mx + c, c is where the line crosses the y-axis and m is how much y changes when x goes up by 1.

Example: y = 2x − 2, x = 1: y = 2 × 1 − 2 = 0 → the point (1, 0)

Watch out: In (1, 0) the first number is x (across), the second is y (up).

Sample questions

  1. Question 1 Easy

    Which of the points A–E lies on the graph of y = x + 2? Click it.

    xyABCDE
    Show the solution
    Answer: A

    How it works: Substitute x = −3: y = 1 × (−3) + 2 = −1, point (−3, −1)

  2. Question 2 Normal

    Which of the points A–E lies on the graph of y = 2x + 2? Click it.

    xyABCDE
    Show the solution
    Answer: B

    How it works: Substitute x = −2: y = 2 × (−2) + 2 = −2, point (−2, −2)

  3. Question 3 Hard

    Which of the points A–E lies on the graph of y = 2x? Click it.

    xyABCDE
    Show the solution
    Answer: D

    How it works: Substitute x = −1: y = 2 × (−1) = −2, point (−1, −2)

Related topics

All Maths topics

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