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Expanding Brackets Quiz Generator

Make an expanding brackets quiz: single brackets, negative multipliers, expanding and simplifying, and double brackets including squares, with every term multiplied out.

  • Free
  • No sign-up to try
  • Works as you type
Difficulty

Preview: 10 questions

  1. 1. Expand 7(x + 3).

  2. 2. Expand 2(2x − 5).

  3. 3. Expand 4(x − 6).

  4. 4. Expand 5(3x + 6).

  5. 5. Expand 7(3x − 8).

  6. 6. Expand 8(3x − 4).

  7. 7. Expand 7(x − 9).

  8. 8. Expand 8(x + 2).

  9. 9. Expand 9(2x + 7).

  10. 10. Expand 8(2x + 1).

Free, no sign-up to try. Your quiz becomes a Room you can edit, publish and share.

See a worked example

How it works

How the Expanding Brackets Quiz Generator works

  1. 1

    Pick skills and difficulty

    Choose the skills to practise, how hard, and how many questions.

  2. 2

    Try it here

    The quiz appears as you choose. Answer a few and check them to see the worked solutions.

  3. 3

    Create the Room

    One click makes it a quiz Room with a tutor that gives hints. Publish it and share the link.

Worked example

What it makes

Three questions from a easier quiz on expanding brackets, with the answers and worked solutions the quiz shows after checking.

  1. 1. Expand 7(x + 3).

    Options: 7x − 21 · 7x + 21 · 7x + 3 · 7x + 10

    Answer: 7x + 21

    Multiply each term inside the bracket by 7: 7 × x = 7x and 7 × 3 = 21. So 7x + 21.

  2. 2. Expand 2(2x − 5).

    Options: 4x + 10 · 4x − 5 · 4x − 3 · 4x − 10

    Answer: 4x − 10

    Multiply each term inside the bracket by 2: 2 × 2x = 4x and 2 × (−5) = −10. So 4x − 10.

  3. 3. Expand 4(x − 6).

    Options: 4x − 24 · 4x − 6 · 4x + 24 · 4x − 2

    Answer: 4x − 24

    Multiply each term inside the bracket by 4: 4 × x = 4x and 4 × (−6) = −24. So 4x − 24.

Who it's for

Who uses it

  • Maths teachers

    Practice from 3(x + 4) up to (2x − 1)(x + 5).

  • Learners

    Fix the (x + 3)² = x² + 9 mistake.

  • Tutors

    Check signs when the multiplier is negative.

Good to know

What to consider

  • Level 1 is single brackets, level 2 adds negative multipliers and expand-and-simplify, level 3 double brackets.
  • The solution writes out every product before collecting like terms: the same steps as the grid or FOIL methods.
  • Levels are difficulty bands, not school grades or a curriculum.

Questions

About the Expanding Brackets Quiz Generator

Does it use the grid method or FOIL?

Both give the same four products. The solution lists them, then collects the x terms.

How do I know the answers are right?

The questions are computed, not written by AI: each answer is worked out with exact arithmetic and checked again by a separate solver in our tests. Every question shows its worked solution after the learner checks their answers.

Can my students use it without an account?

Yes. Publish the Room and share the link: anyone with it can take the quiz, check their answers and read the worked solutions. You need a free account to keep and publish the Room.

Make your quiz now

Free, no sign-up to try. It becomes a Room you can edit, publish and share.

Create my quiz

Related

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  • Algebra Equations Quiz GeneratorMake a practice quiz on solving linear equations, from one-step to x on both sides, with whole-number answers and the full working shown.
  • Quadratic Equations Quiz GeneratorMake a quadratic equations quiz with whole-number roots: x² = 49, equations already in brackets, solving by factorising, and equations to rearrange first.
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