1. The graph shows the mass of grain

that can be harvested from a land of given area.

From the graph read the answers to the following

questions:

1.1 The mass that can be harvested from

1.1.1 10 Ha.

1.1.2 34 Ha.

1.2 The area needed to produce

1.2.1 150 tons.

1.2.2 200 tons.

1.3 What is the smallest area needed to produce

100 tons of grain?

1.4 What is the maximum mass that can be

harvested from 40Ha?

2. The accompanying graph shows how much

petrol is used to travel a certain distance.

From the graph read the answers to the following

questions:

2.1 How much petrol is needed to travel

2.1.1 70 km?

2.1.2 200 km?

2.2 How far can you travel if you use

2.2.1 5 litres of petrol?

2.2.2 30 litres of petrol?

2.3 What is the average comsumption of petrol

(expressed in litres/100km)?

2.4 Use this number to compute the answers to the

questions in 2.1 and 2.2

3. The table below shows the time necessary to travel a certain distance.

Distance (km) 170
300 340 420
b 595 786

Time
(h) 2
a
4 5
6,5
7 9,25

distance

3.1 Does the rate -------------- stay the same? Calculate three rates to confirm
your answer.

time

3.2 What will be the form of the graph of distance divided by time? Explain your
answer.

3.3 At what average speed does the car travel? Does this average speed remain constant?

3.4 Calculate the value of a and of b in the table.

3.5 Draw a graph of time, on the x-axis, against distance, on the y-axis for a
period of time of 9,25 hours.

3.6 From your graph read the answers to the following questions and mark
the points where you took

the readings with the letter given in brackets:

3.6.1 The time needed to travel 128 km (A)

3.6.2 The distance travelled in 9 hours. (B)

3.6.3 The maximum distance that can be travelled in 8,25 hours. (C)

4.

The diagram on
the right shows the graph

of y = 2x + 3.

4.1

Write down
the values of m and of c.

4.2

Write down
the coordinates of B and A.

4.3

Do these values
correspond with your answers in 1.1?

4.4

Write down
the coordinates of P, Q and D.

4.5

Write down
the length of PD and of QD.

QD

4.6

Calculate
the value of ------- .

PD

4.7

How does this value
agree with the value of m?

4.8

Repeat with
the ratio of TV and SV.

4.9

How does this value
agree with the value of m?

5.

The diagram on
the right shows the graph

of y = 4 - 2x.

5.1

Write down
the values of m and of c.

5.2

Calculate the
value of m by calculating

FG
SQ

the values
of the ratios -------- and --------

DG
PS

5.3

How do
these values compare to that of m?

5.4

Write down
the coordinates of A and B.

Draw the
following graphs by calculating the intercepts on the axes.

6.

y = x + 3

7.

y = 6 - x

2

8.

y =
---- x + 1

3

3

9.

y =
2 - ---- x

4

10.

Calculate the equation
of the line passing through the points (0 ; -5) and (2,5 ; 0) and then draw the graph.

11.

Calculate the equation
of the line passing through the points (0 ; 5) and (2,5 ; 0) and then draw the graph.

Calculate the equation
of the line passing through the points

12.

(-2 ; -10)
and (3 ; 20)

13.

(-4 ; 34)
and (5 ; -11)

14.

(-5 ; -9)
and (15 ; 3)

Calculate the equation
of the line passing through the given points and then draw the graph.

15.

A(-1 ; 1)
and B(1 ; 7)

16.

A(-1 ; 7)
and B(2 ; -2)