BUZZO

Grade 8 · Algebra

Algebra quiz for grade 8: Rational expressions

This quiz helps revise “Rational expressions” in Algebra for grade 8. It has 25 questions in five categories: Domain check, Simplify it, Multiply and divide, Add and subtract, Rational equations. 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: Rational expressions

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.

Domain check

  1. 100Picture for the question

    Which value of X is excluded from 5/(X−3)?

  2. 200Picture for the question

    For which values of X is (X+2)/(X²−9) undefined? Give both.

  3. 300

    For which X…

    In the game
  4. 400

    After (X²−16)/(X−4) simplifies to…

    In the game
  5. 500

    Give every excluded value…

    In the game

Simplify it

  1. 100

    Simplify (X²+2X)/X, given X ≠ 0.

  2. 200Picture for the question

    Simplify (X²−9)/(X−3), given X ≠ 3.

  3. 300

    Simplify (2X²+8X)/(2X), given…

    In the game
  4. 400

    Simplify (X²−4X+4)/(X−2), given…

    In the game
  5. 500

    Simplify (X²−25)/(X²−10X+25), given…

    In the game

Multiply and divide

  1. 100Picture for the question

    Multiply and simplify X/3 · 6/X, given X ≠ 0.

  2. 200

    Multiply and simplify 4A/5 · 15/(8A), given A ≠ 0.

  3. 300

    Simplify (X²−9)/(X+3) · 3/(X−3)…

    In the game
  4. 400

    Simplify (X²−4)/(X²−X−2)…

    In the game
  5. 500

    Simplify (X²−4X+4)/(X²−4) ÷ (X−2)/(X+2)…

    In the game

Add and subtract

  1. 100

    Simplify (X+1)/(X−3) + 2/(X−3).

  2. 200

    Simplify X/(X+2) − 2/(X+2).

  3. 300

    Simplify 1/X + 1/(2X)…

    In the game
  4. 400

    Simplify X/(X−1)…

    In the game
  5. 500

    Simplify X/(X−2)…

    In the game

Rational equations

  1. 100Picture for the question

    Solve 1/X = 1/6.

  2. 200

    Solve 2/(X−1) = 1/3.

  3. 300

    Solve 9/X +…

    In the game
  4. 400

    Solve 2/(X−2)…

    In the game
  5. 500

    Solve (X+2)/(X−2) = 4/(X−2)…

    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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