3rd Year Exam Tuning

Homework 5: To be done neatly in the front of your books
TOTAL 28 marks

1. z is the difference between the product of x and y and half their sum. Write down a formula for z and make y the subject. Use your answer to find the value of y when x=3 and z=-2

[4 marks]

2. Solve \[\frac x 4 -7 = \frac x 7\]

[3 marks]

3. A room measures 3.2m x 5.6m. A square tile with edge 20cm cost £1.47. What will it cost to tile the room?

[3 marks]

4. Find the equation of the line that passes through (3,-2) and (-7,4). Rearrange your answer to the form $ax + by = c$ where a,b and c are integers.

[4 marks]

5. The bearing of X from Z is $088^\circ$. What is the bearing of Z from X?

[1 marks]

6. Make $x$ the subject of \[y=\frac {x+2}{3-2x}\]

[4 marks]

7. Expand $(3x-4y)^2$

[2 marks]

8. Factorise $6x^2+7x-20$

[3 marks]

9. Find coordinates of the image of the point (-1,4) after:

1. A reflection in the line y=-x
2. A rotation $90^\circ$ clockwise about (0,-1)
3. A translation $\left(\begin{array} \left \\ 4 \\ -2 \end{array}\right)$
4. An enlargement scale factor 2, centre (0,1)

[4 marks]