BUZZO

Grade 8 · Algebra

Algebra quiz for grade 8: Quadratic equations

This quiz helps revise “Quadratic equations” in Algebra for grade 8. It has 25 questions in five categories: Quadratic basics, Incomplete forms, Discriminant, Vieta's theorem, Quadratic models. Questions get harder as the points go up, from 100 to 500.

  • For ages 13–14
  • 25 questions · 5 categories

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Buzzo quiz: Quadratic equations

A peek at the questions

The 100- and 200-point questions are open here. The rest show only their first words, and there are no answers: all of that is in the game itself.

Quadratic basics

  1. 100

    In ax²+bx+c=0, what restriction on a makes the equation quadratic?

  2. 200

    In 3x²−7x+2=0, what number is b?

  3. 300

    Move all terms of…

    In the game
  4. 400

    Expand x(x−4)=12. What is…

    In the game
  5. 500

    For which k does…

    In the game

Incomplete forms

  1. 100

    Solve x²−25=0.

  2. 200

    Solve 3x²−12x=0 by factoring out x.

  3. 300

    How many real…

    In the game
  4. 400In the game
  5. 500In the game

Discriminant

  1. 100Picture for the question

    If D=49, how many real roots does a quadratic equation have?

  2. 200

    Calculate D for x²−6x+5=0.

  3. 300

    Calculate D…

    In the game
  4. 400

    How many real…

    In the game
  5. 500

    For which m does…

    In the game

Vieta's theorem

  1. 100

    Without solving x²−9x+14=0, find x₁+x₂.

  2. 200

    For 2x²+7x−4=0, find x₁x₂ without calculating the roots.

  3. 300

    Form a monic quadratic…

    In the game
  4. 400

    One solution of x²−7x+10=0…

    In the game
  5. 500

    One solution of x²−8x+k=0…

    In the game

Quadratic models

  1. 100Picture for the question

    A square tile has area 64 cm². How many centimeters long is one side?

  2. 200Picture for the question

    A rectangle has width x cm, length x+5 cm, and area 84 cm². Find positive x.

  3. 300

    The product of two…

    In the game
  4. 400

    A right triangle's legs…

    In the game
  5. 500

    A rectangle has width…

    In the game

Play this quiz

All 25 questions and the answers are in the game. Invite your class or friends with a link — guests need no account.

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How it works

  1. Pick a quiz and press “Play”.
  2. Send students or friends the link — they join from a phone or a computer.
  3. Choose questions on the board, buzz in first and collect points.

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