Page 141 - MAT KS3 Y8 Cambridge CheckPoint

End-of-unit review

End-of-unit review y
4

1 Write down the equations of the lines on this grid. A
2
B

0 x
–5 5
C
–2 E
D
–4

2 a Complete this table of values for y = 2x + 2. x −3 −2 −1 0 1 2 3
b Use the values in the table to draw a graph y −2 4
of y = 2x +2.

3 a Complete this table of values for y = 4 − x. x −2 −1 0 1 2 3 4 5 6
b Use the values in the table to draw a
graph of y = 4 − x. y 6 −2
c Show that (−24, 28) is on the line.
4 a Complete this table of values for y = 10x + 20. x −3 −2 −1 0 1 2 3
b Use the values in the table to draw a graph y 0 40
of y = 10x + 20.
c Is (15, 180) on the line? Give a reason for your answer.
d (−6, a) is on the line. Find the value of a.

5 Find the midpoints of the line segments joining:
a (12, 0) and (0, −4) b (−3, 6) and (1, −2) c (16, −17) and (24, 15)

6 The graph shows the amount of petrol left in the tanks of two 50
cars, a Nisota and a Toysan, as they make a journey. 40
a Which car has a more economical fuel consumption? Petrol in tank (litres) 30
b How far had they travelled when they both had the same 20 Nisota
amount of fuel left? 10
c If they continue to use petrol at the same rate, what will be the 0 Toysan
total distance travelled by the Toysan when it runs out of petrol? 0 100 200 300
d How much further than the Toysan will the Nisota travel? Distance (km)

7 A car leaves Newton at 13 00 to travel to Danville.
The graph shows the first part of the journey.
Danville 150
a How long did the car take to travel 50 km?
b The driver stopped for 90 minutes and then went
on to Danville, arriving at 17 00. Copy the graph Distance from Newton (km) 100
and show the rest of the journey.
c A second car leaves Danville at 15 00 and drives 50
straight to Newton, arriving at 18 00. Show this on
Newton 0
the graph. 1300 1400 1500 1600 1700 1800
d How far from Newton did the cars pass one 24-hour clock time
another?

13 Graphs 139