Question 1: [2 marks]
The graph below shows the lines of the equations y = \dfrac{1}{2} x + 1 and y = 4-x.
Using the graph, solve the following simultaneous equations:
y = \dfrac{1}{2} x + 1 , y = 4-x
Answer type: Multiple choice type 1
A: x = 2, y = 2
B: x = 4, y = -2
C: x = \dfrac{1}{2}, y = 4
D: x = 2, y = -2
ANSWER: A: x = 2, y = 2
WORKING:
The coordinates where the two lines cross.
Question 2: [2 marks]
The graph below shows the lines of the equations y = 4x - 4 and y = -x+1.
Using the graph, solve the following simultaneous equations:
y = 4x-4 , y = -x+1
Answer type: Multiple choice type 1
A: x=1 , y=0
B: x=0 , y=1
C: x=-1 , y=0
D: x=0 , y=-1
ANSWER: A: x=1 , y=0
WORKING:
The coordinates where the two lines cross.
Question 3: [2 marks]
The graph below shows the lines of the equations y = x - 0.4 and y = \dfrac{1}{4}x + 0.35.
Using the graph, solve the following simultaneous equations:
y = x-0.4 , y = \dfrac{1}{4}x + 0.35
Answer type: Multiple choice type 1
A: x=1 , y=0.6
B: x=0.6 , y=1
C: x=-1 , y=0.6
D: x=0.6 , y=-1
ANSWER: A: x=1 , y=0.6
WORKING:
The coordinates where the two lines cross.
Question 4:
The graph below shows the lines of the equations y = 5x+3, y = 5x+6 and y = 2x+3.
Question 4(a): [2 marks]
Using the graph, solve the following simultaneous equations:
y = 2x+3 , y = 5x+6
Answer type: Multiple choice type 1
A: x=-1 , y=1
B: x=1 , y=1
C: x=-1 , y=-1
D: x=1 , y=-1
ANSWER: A: x=-1 , y=1
WORKING:
The coordinates where the two lines cross.
Question 4(b): [1 mark]
How you know that the lines y=5x+3 and y=5x+6 can not form simultaneous equations?
Select the correct statement.
Answer type: Multiple choice type 1
A: The two lines are parallel.
B: The two lines are perpendicular.
C: It is too complicated.
D: We do not get whole number answers.
ANSWER: A: The two lines are parallel.
Question 5:
ChocZ chocolates are sold at £0.50 a box, plus £4.00 delivery on the total order.
Sweets2Go chocolates sell the same box of chocolates for £1.00 each but charge £1.00 for delivery on the total order.
Question 5(a): [2 marks]
Which graph represents the two company’s sales models?
Answer type: Multiple choice type 1
A: A
B: B
C: C
D: D
ANSWER: A:A
WORKING:
ChocZ cost = (0.5 \times \text{number of boxes}) + 4
Sweets2Go cost = (1 \times \text{number of boxes}) + 1
Question 5(b): [1 mark]
At which point does it become cheaper to buy chocolates from ChocZ?
Answer type: Multiple choice type 1
A: (6,7)
B: (7,6)
C: (6.5,7)
D: (4,4.5)
ANSWER: A: (6,7)
WORKING:
The coordinates where the two lines cross.
Question 6: [2 marks]
The graph below shows the lines of the equations y = x^2 + x + 2 and y = 0.5x+8.
Using the graph, estimate the following simultaneous equations:
y = x^2 + x + 2 , y = 0.5x+8
Answer type: Multiple choice type 1
A: (-2.6,6.6) and (2.2,9)
B: (-2.6,9) and (2.2,6.6)
C: (0,2)
D: (2,0)
ANSWER: A: (-2.6,6.6) and (2.2,9)
WORKING:
The coordinates where the two lines cross.