Multiple Choice Questions (7×2=14 marks)

Circle the correct answer

1. The gradient of the straight line passing through the points (–4, 0) and (1, 4) is:

A

B

C

D

E

2. The equation 4x – 3y = 12 can be represented by the graph:

A B C

D E

3. A line perpendicular to 3y 2x + 1 = 0 is:

A 3y 2x + 1 = 0 B 2y – 3x 1 = 0 C 3y + 2x + 1 = 0

D 2y – 3x + 1 = 0 E 2y + 3x + 1 = 0

4. The value for x that satisfies the equation is:

A B –9 C

D - 7 E 19

5. The point (1, 4) is the mid-point of the line joining the points A (– 8, 5) and B (x, 3). The value of x is:

A - 10 B – 6 C 9 D 10 E 16

6. The points (1, 5), (2, 4) and (9, y) are collinear. The value of y is:

A – 3 B –1 C 3 D 7 E 13

7. The equation 2x + 5y 10 = 0 has a gradient and y-intercept respectively equal to:

A , 2 B 2 C 2, 10

D , 10 E 2, 10

Short answer Questions (15 marks)

1. Sketch the graphs of the following equations. Clearly show x- and y-intercepts. (2 + 2 = 4 marks)

(a) y = 2x – 3

(b) x + 4y 8 = 0

2. Solve the following simultaneous equations.(3 marks)

3x – 4y = 5

5x 6y = 3

3. Find the equation of the line parallel to the line with equation 2x + 3y 9 = 0 and passing through (2, 3). (4 marks)

4. Transpose the following expresses to make the pronumeral in brackets the subject. (2 + 2 = 4 marks)

a. (r) b. (L)

Analysis Question (11 marks)

1. A teacher gives the class the task of constructing a right-angled triangle on a cartesian plane. They are told that the coordinates of two...