BUZZO

Grade 7 · Algebra

Algebra quiz for grade 7: Systems of linear equations

This quiz helps revise “Systems of linear equations” in Algebra for grade 7. It has 25 questions in five categories: Quick solutions, Substitution, Elimination, Word problems, Graphs and ideas. Questions get harder as the points go up, from 100 to 500.

  • For ages 12–13
  • 25 questions · 5 categories

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Buzzo quiz: Systems of linear 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.

Quick solutions

  1. 100

    Solve the system: x + y = 5; x − y = 1.

  2. 200

    Solve the system: 2x + y = 9; x + 2y = 6.

  3. 300

    Solve the system: 3x…

    In the game
  4. 400

    Solve the system: x…

    In the game
  5. 500

    Solve the system: 2x…

    In the game

Substitution

  1. 100

    By substitution, find x: y = 2x + 1; x + y = 10.

  2. 200

    By substitution, find y: x = y + 3; 2x + y = 12.

  3. 300

    By substitution, find y…

    In the game
  4. 400

    By substitution, find y…

    In the game
  5. 500

    By substitution, find x…

    In the game

Elimination

  1. 100

    Use elimination to solve: x + y = 9; x − y = 3.

  2. 200

    Use elimination to solve: 2x + 3y = 18; 2x + y = 10.

  3. 300

    Use elimination to solve…

    In the game
  4. 400

    Use elimination to solve…

    In the game
  5. 500

    Use elimination to solve…

    In the game

Word problems

  1. 100Picture for the question

    Two adult tickets and one child ticket cost £19; one adult and one child ticket cost £11. What is the adult ticket price?

  2. 200Picture for the question

    There are 12 chickens and rabbits in a pen, with 32 legs altogether. How many rabbits are there?

  3. 300

    Two numbers have sum…

    In the game
  4. 400

    A rectangle has perimeter…

    In the game
  5. 500

    Two apples and one…

    In the game

Graphs and ideas

  1. 100

    What do we call an ordered pair that satisfies both equations in a system?

  2. 200Picture for the question

    If two lines in a system intersect once, how many solutions does the system have?

  3. 300

    If two distinct lines…

    In the game
  4. 400

    If both equations represent…

    In the game
  5. 500

    What do we call…

    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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