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Equations – practice for Years 8–9

Sample questions on Equations 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
Years 8–9
Curriculum area
Number and algebra

Question types: Linear equation

Rule: Equations

Move the x terms to one side and the numbers to the other. A term that changes sides changes its sign.

Finally divide both sides by the number in front of x.

Example: 5x + 6 = 3x + 14 → 5x − 3x = 14 − 6 → 2x = 8 → x = 4

Watch out: Watch the signs: −2x = −4 gives x = 2, not −2. Check the answer by substituting it.

Sample questions

  1. Question 1 Easy

    Solve the equation: 6x + 0 = 1x + 10

    Show the solution
    Answer: 2

    How it works: 6x − 1x = 10 − (0), so 5x = 10, x = 2

  2. Question 2 Normal

    Solve the equation: 6x − 9 = 2x − 21

    Show the solution
    Answer: −3

    How it works: 6x − 2x = −21 − (−9), so 4x = −12, x = −3

  3. Question 3 Hard

    Solve the equation: 10x − 18 = 3x − 74

    Show the solution
    Answer: −8

    How it works: 10x − 3x = −74 − (−18), so 7x = −56, x = −8

Related topics

All Maths topics

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