Practice Maths

Topic Review — Linear Relationships — Solutions

Click any answer to watch the solution video.

  1. Plotting and tables of values

    1. y=2x−1:
    2. y=−3x+9:
    3. Check points on y=4x−5:
    4. Through (0,−2) and (3,4):

  2. Finding linear rules

    1. x:0,1,2,3 / y:7,10,13,16:
    2. x:0,2,4,6 / y:3,−1,−5,−9:
    3. Through (1,5) and (3,11):
    4. m=−4, y-intercept=6:
    5. m=3, through (2,8):

  3. Gradient

    1. (−2,3) and (4,−9):
    2. m=−2, through (3,4):
    3. Steeper line:
    4. Collinear P,Q,R:
    5. Ramp gradient:
    6. m=3, (1,2) and (4,?):

  4. Equations of lines

    1. m=−3, b=5:
    2. y=⅔x−7:
    3. Through (0,4) and (3,−2):
    4. Same gradient as y=5x+2, y-intercept 9:
    5. y=−x+8 and y=−x−3:
    6. x-axis at 5, y-axis at 10:

  5. Problem solving

    1. Car rental:
      1. Equation:
      2. 5 days:
      3. Budget $210:
    2. Water tank:
    3. Lines P and Q:
    4. Rule and find x: