Everything Maths Grade 10

7.State whether the following is true or not

a)They-intercept ofy+ 5 =xis 5.

b)The gradient ofy=x+ 2is 1.

c)The gradient of 4 y= 3is 1.

8.Write the following in standard form:

a) 2 y 5 x= 6

b) 6 y 3 x= 5x+ 1

9.Sketch the graphs of the following:

a)y= 2x+ 4

b)y 3 x= 0

c) 2 y= 4x

10.The function for how much water a tap dispenses is given by:V = 60t, wherexandVare in seconds
and mL respectively.
Use this information to answer the following:
a)EvaluateV(2).
b)EvaluateV(10).
c)How long will it take to fill a 2 L bottle of water?
d)How much water can the tap dispense in 4 s?

11.The graph below shows the distance travelled by a car over time, wheres(t)is distance in km andtis
time in minutes.

10 20 30 40 50 60 70 80 90 100110120

10

20

30

40

50

60

70

80

90

100

110

t

s(t)

Use this information to answer the following:

a)What distance did the car travel in an hour?

b)What is the domain of the function?

c)What is the range of the function? What does it represent?

12.On the graph here you see a function of the form:y=ax^2 +q.
Two points on the parabola are shown:Point A, the turning point of the parabola, at( 0 ; 6 ), andPoint B
is at( 3 ; 3). Calculate the values ofaandq.

216 6.8. Chapter summary