Question 1: [2 marks]
Which line below is the correct representation for a straight line with y-intercept 1 and gradient 2?
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: B: b
WORKING: y = 2x + 1 is the line we are looking for, which is line b, since it has a gradient of 2 and a y-intercept of 1.
Question 2: [2 marks]
Which line below is the correct representation for the line y = 3x + 2?
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: A: a
Question 3:
A relationship between x and y is described as follows:
For every increase in x, y increases by \dfrac{1}{2} of x.
Question 3(a): [2 marks]
Find the values of a, b and c from the table.
Answer type: Multiple answers type 1
ANSWER: a = 0, b = 8, c = 12
For every increase in x, y increases by \dfrac{1}{2} of x.
So for every increase in y, x increases by 2 lots of y.
So the x values increase by 4 each time, since the y values increase by 2 each time.
Question 3(b): [2 marks]
Which line below is the correct representation for the straight line graph drawn using the coordinates from the table?
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: D: d
WORKING:y = \dfrac{1}{2}x + 2
Question 4(a): [1 mark]
Choose the correct representation for the following lines:
x = 3, y = 1, x = 7, y = 6
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER:
B:
Question 4(b): [2 mark]
What is the area of the shape bounded by the four lines?
Answer type: Simple text answer
ANSWER: 20
WORKING: \text{Area} = (7-3) \times (6-1) = 4 \times 5 = 20
Question 5: [2 marks]
Which line below is the correct representation for the line y + 2x - 10 = 0?
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: A: a
WORKING: y = -2x + 10
Question 6:
The x-intercept of a line with gradient \dfrac{1}{2} is 3.
Question 6(a): [1 mark]
Which line below is the correct representation for this line.
Answer type: Multiple choice type 1
A: a
B: b
C: c
D: d
ANSWER: C: c
Question 6(b):
What is the y-intercept?
Answer type: Simple text answer
ANSWER: - 1.5
Question 7:
Adam draws the line y - 2x = 3 on the axes below, but he believes that he may have made an error.
Question 7(a): [1 mark]
Choose the correct statement.
Answer type: Multiple choice type 2
A: Adam hasn’t drawn the line accurately enough.
B: The y-intercept of the line that Adam plotted is incorrect.
C: Adam has made no error and the line he plotted is correct.
D: The equation of the line was interpreted incorrectly as it was not arranged into the form y = mx + c
ANSWER: The equation of the line was interpreted incorrectly as it was not arranged into the form y = mx + c
Question 7(b): [1 mark]
What is the equation of the line that Adam should have plotted in the form y = mx + c?
Answer type: Multiple choice type 2
A: y = -2x + 3
B: y = 2x + 3
C: y = 2x - 3
D: y = -2x - 3
ANSWER: B: y = 2x + 3
Question 8(a): [2 marks]
The graphs of y = \dfrac{1}{2}x + 3 and y = \dfrac{3}{2}x - 3 are plotted below.
Choose the two correct drawings.
Answer type: Multiple choice type 1
A: a and d
B: b and e
C: c and e
D: b and d
E: a and c
ANSWER: B: b and e
Question 8(b): [1 mark]
What is the point of intersection of the two correct lines?
Answer type: Multiple choice type 1
A: (0,3)
B: (0, -3)
C: (6,6)
D: (-6,-6)
ANSWER: C: (6,6)