MCQ Questions

Question No. 1

Write down the gradient of the following straight lines.

Answer :

a) y = ⅔x − 6

b) y = −4x + 1

c) 3y = x − 3

d) 2y − x = 4

Question No. 2

Calculate the gradient of the line joining the points.

Answer :

a) (2; 8) and (1; 4)

b) (3; 5) and (2; 1)

c) (−2; 5) and (6; −1)

d) (−1; −1) and (−3; −7)

Question No. 3

Decide whether the following pairs of lines are parallel or perpendicular.

Answer :

a) y = 2x + 5 and 2y − 4x + 1 = 0

b) 3y = x − 3 and y = −3x + 4

c) 2y = x − 6 and y = ½x + 2

d) y = 4 and x = 3

Question No. 4

Gradients from a graph.

Answer :

a) Calculate the gradient of the line in the graph.

b) Determine the gradient of a line parallel to that line.

Question No. 5

Draw rough sketches of the following straight line graphs.

Question No. 6

Find the equations of the following lines.

Answer :

a) gradient 4, passing through (0; −1)

b) gradient 3, passing through (−1; 0)

c) gradient −2, passing through (1; 2)

d) gradient −5/3, passing through (10; −1)

Question No. 7

Find the equations of the lines passing through the given pairs of points.

Answer :

a) (6; 1) and (2; 4)

b) (−1; 4) and (3; 6)

c) (0; 1) and (2; 1)

d) (6; 1) and (6; 4)

Question No. 8

Find the equation of the straight line in each graph.

Answer :

a)

b)

c)

d)

Question No. 9

Determine the equations of the three straight lines in the graphs provided.

Answer :

Question No. 10

What is the gradient of the tangent to the curve shown in this graph when x = 0?; Write down the equation of the axis of symmetry

Answer :

a) What is the gradient of the tangent to the curve shown in this graph when x = 0?

b) Write down the equation of the axis of symmetry

Question No. 11

What is the gradient of this curve at point T?

Answer :

a) What is the gradient of this curve at point T?

Question No. 12

Determine the gradient of the curve shown in the graph at the point (7; 5); Determine the equation of this quadratic function

Answer :

a) Determine the gradient of the curve shown in the graph at the point (7; 5).

b) Determine the equation of this quadratic function.

Question No. 13

For the graph provided, find the gradient of the curve when x = −1 and when x = 1

Answer :

a) Find the gradient of the curve when x = −1.

b) Find the gradient of the curve when x = 1.

Question No. 14

Solve :

Answer :

a) Find the equation of the line with y-intercept (0; 5) that is parallel to the straight line in the graph.

b) At what point does the line y = −2x + 5 touch the quadratic function?

c) What is the gradient of the quadratic function at the point (1; 3)?

Chapter

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