Question 1: [2 marks]

Which line below is the correct representation for a straight line with yy-intercept 11 and gradient 22?

 

Answer type: Multiple choice type 1

A: a

B: b

C: c

D: d

 

ANSWER: B: b

WORKING: y=2x+1y = 2x + 1 is the line we are looking for, which is line b, since it has a gradient of 22 and a yy-intercept of 11.

 


 

Question 2: [2 marks]

Which line below is the correct representation for the line y=3x+2y = 3x + 2?

 

Answer type: Multiple choice type 1

A: a

B: b

C: c

D: d

 

ANSWER: A: a

 


 

Question 3:

A relationship between xx and yy is described as follows:

For every increase in xx, yy increases by 12\dfrac{1}{2} of xx.

 

Question 3(a): [2 marks]

Find the values of a, b and c from the table.

 

Answer type: Multiple answers type 1

ANSWER: a = 00, b = 88, c = 1212

For every increase in xx, yy increases by 12\dfrac{1}{2} of xx.

So for every increase in yy, xx increases by 22 lots of yy.

So the xx values increase by 44 each time, since the yy values increase by 22 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=12x+2y = \dfrac{1}{2}x + 2 

 


 

Question 4(a): [1 mark]

Choose the correct representation for the following lines:

x=3x = 3, y=1y = 1, x=7x = 7, y=6y = 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: 2020

WORKING: Area=(73)×(61)=4×5=20\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+2x10=0y + 2x - 10 = 0?

 

Answer type: Multiple choice type 1

A: a

B: b

C: c

D: d

 

ANSWER: A: a

WORKING: y=2x+10y = -2x + 10

 


 

Question 6:

The xx-intercept of a line with gradient 12\dfrac{1}{2} is 33.

 

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 yy-intercept?

 

Answer type: Simple text answer

ANSWER: 1.5- 1.5

 


 

Question 7:

Adam draws the line y2x=3y - 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 yy-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+cy = mx + c

ANSWER: The equation of the line was interpreted incorrectly as it was not arranged into the form y=mx+cy = mx + c

 

 

Question 7(b): [1 mark]

What is the equation of the line that Adam should have plotted in the form y=mx+cy = mx + c?

 

Answer type: Multiple choice type 2

A: y=2x+3y = -2x + 3

B: y=2x+3y = 2x + 3

C: y=2x3y = 2x - 3

D: y=2x3y = -2x - 3

 

ANSWER: B: y=2x+3y = 2x + 3

 


 

Question 8(a): [2 marks]

The graphs of y=12x+3y = \dfrac{1}{2}x + 3 and y=32x3y = \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)(0,3)

B: (0,3)(0, -3)

C: (6,6)(6,6)

D: (6,6)(-6,-6)

 

ANSWER: C: (6,6)(6,6)