Grade 9Mathpractice16 questions

Functions and graphs

Grade 9: function input and output, gradient and y-intercept from y = mx + c, parallel lines have the same gradient, shape of a quadratic graph, distance-time graphs.

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Free to play. Teams answer on one screen; your phone is the remote. No student devices.

Questions

  1. A function is f(x) = 3x + 2. What is the output when the input is 4?

    • 11
    • 12
    • 14
    • 24
    Show answer14

  2. A function machine doubles the input, then subtracts 5. Input 9 gives which output?

    • 13
    • 18
    • 4
    • 8
    Show answer13

  3. For f(x) = x² − 1, what is f(5)? (Answer out loud)

    Show answer24

  4. A function machine adds 3 and outputs 10. What was the input?

    • 13
    • 3
    • 30
    • 7
    Show answer7

  5. What is the gradient of the line y = 5x − 2?

    • -2
    • -5
    • 2
    • 5
    Show answer5

  6. What is the y-intercept of the line y = 2x + 7?

    • -7
    • 2
    • 7
    • 9
    Show answer7

  7. Where does the line y = −3x + 4 cross the y-axis? Give the y-value. (Answer out loud)

    Show answer4

  8. The lines y = 2x + 1 and y = 2x − 5 are parallel. (True or false?)

    Show answerTrue

  9. Which line is parallel to y = 4x + 3?

    • y = 3x + 4
    • y = 4x − 1
    • y = x + 3
    • y = −4x + 3
    Show answery = 4x − 1

  10. The lines y = 3x + 2 and y = 2x + 3 are parallel. (True or false?)

    Show answerFalse

  11. What is the shape of the graph of y = x²?

    • A U-shaped curve (parabola)
    • A V-shaped pair of lines
    • A circle
    • A straight line
    Show answerA U-shaped curve (parabola)

  12. The graph of y = −x² opens in which direction?

    • Downwards
    • To the left
    • To the right
    • Upwards
    Show answerDownwards

  13. The graph of a quadratic function such as y = x² + 2x is a straight line. (True or false?)

    Show answerFalse

  14. On a distance-time graph, what does a horizontal line show?

    • Constant speed
    • Returning to the start
    • Speeding up
    • The object is not moving
    Show answerThe object is not moving

  15. A distance-time graph goes from (0 h, 0 km) to (2 h, 30 km) in a straight line. Speed?

    • 15 km/h
    • 2 km/h
    • 30 km/h
    • 60 km/h
    Show answer15 km/h

  16. On a distance-time graph, a steeper straight line means a greater what? (Answer out loud)

    Show answerSpeed

Play it as a game

Mini GolfAnswer right to putt! Pick a shot: sink it for 5, or land in the 3, 2 or 1 ring.Ladder ClimbAnswer right to roll the big die. Ladders lift your team up, slides send it back down. First to the top wins.Paper RaceEvery right answer moves your car. The team in last place gets a double boost.Three in a RowAnswer right to place your team sticker on a 3×3 board. Three in a row scores +5 and starts a new round.

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