Page 136 - Mathematics Coursebook

End of unit review

End of unit review

1 a Plot V(−2, 5) and W(4, −1) on a grid and join them with a straight line.
b M is the mid-point of VW. Mark M on the graph and write down its coordinates.
2 The points (−6, 1), (−6, 5) and (−2, 5) are three corners of a square.
a Draw the square and write down the coordinates of the fourth corner.
b Work out the coordinates of the centre of the square.
3 a Draw the parallelogram with vertices at (2, 0), (6, 2), (6, −2) and (2, −4).
b Draw the diagonals of the parallelogram. Write down the coordinates of the point
where they cross. y
4 Write down the equations of the lines through the points: A 4 3 B
a A and B b B and C c C and D d D and A.
2
1 C
5 a Draw the rectangle with vertices at P(−1, 1), Q(5, 1), R(5, −3) D 0 x
and S(−1, −3). –4 –3 –2 –1 1 2 3 4 5
– 1
b Find the equation of the line through P and Q. –2
c Find the equation of the line through P and S.
d The rectangle has two lines of symmetry. Work out the equation of each one.

6 Three of these points are on a straight line.
Work out the equation of the line. (2, −2) (2, −5) (1, 2) (5, 2) (–5, 2) (5, 5)

7 a Complete this table of values for y = x − 4.

x −3 −2 0 3 6

y −6 −1

b Use your table to draw the graph of y = x − 4.
c Where does the graph cross the x-axis?
8 a Complete this table of values for y = 2x + 2.

x −3 −1 0 2 3
y 0 8

b Use your table to draw the graph of y = 2x + 2.
9 a Complete this table of values for y = 6 − 2x.

x −1 0 2 3 5
y 6

b Use your table to draw the graph of y = 6 − 2x.

13 Graphs 135