Practice Maths

Topic Review — Plotting & Graphing

Mixed Practice — L8 – L10

This review covers all lessons in the Plotting & Graphing topic. Try each question before checking your answers.

Review Questions

  1. Write the coordinates for each point: Fluency

    1. 3 right, 4 up
    2. 2 left, 5 down
    3. On the x-axis, 4 right of the origin
    4. On the y-axis, 3 below the origin

  2. Which quadrant does each point lie in? Fluency

    1. (4, 2)
    2. (−3, 5)
    3. (−1, −7)
    4. (6, −3)
    5. (0, 5) — is this point in a quadrant?

  3. Complete the table for y = 2x − 1: Understanding

    x 0123
    y
    1. Write each pair as a coordinate.
    2. Would the graph of y = 2x − 1 be a straight line or a curve?

  4. Start at the point (2, 3): Understanding

    1. Move 5 left. What are the new coordinates?
    2. From the new point, move 4 down. What are the coordinates now?
    3. Which quadrant is this final point in?

  5. A rectangle has three corners at (1, 1), (5, 1), and (5, 4). Problem Solving

    1. What are the coordinates of the fourth corner?
    2. What is the width of the rectangle?
    3. What is the height of the rectangle?
    4. What is the perimeter of the rectangle?

  6. Plot the rule y = x + 2 for x = −2 to 3: Understanding

    1. Complete the table of values.
    2. Write each pair as a coordinate.
    3. Does the point (5, 8) lie on this line? Show how you can check.
    4. What is the y-value when x = 0?

  7. True or False for each statement: Fluency

    1. The point (0, 0) is called the origin.
    2. A point with a negative x-coordinate is always in the third quadrant.
    3. All points on the y-axis have an x-coordinate of 0.
    4. The point (−4, 0) lies on the y-axis.

  8. A line graph shows the temperature of water being heated. At 0 min it is 20°C; at 5 min it is 45°C; at 10 min it is 70°C. Understanding

    1. By how many degrees does the water heat up per minute?
    2. Write a rule for the temperature T after m minutes.
    3. What would the temperature be at 12 minutes?

  9. Three vertices of a parallelogram are at (1, 2), (5, 2), and (7, 5). Problem Solving

    1. Find the coordinates of the fourth vertex.
    2. What is the length of the base (the horizontal side)?
    3. What is the area of the parallelogram if its perpendicular height is 3 units?

  10. Complete the table for y = 3x − 2 for x = 0, 1, 2, 3, 4: Fluency

    x 01234
    y
    1. What is the y-value when x = 0?
    2. Write the coordinates of the point where the rule equals 7.
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