Homework 2

Homework 2: To be done neatly in the front of your books
TOTAL 25 marks

1. Copy and complete the table for $y=5-3x-2x^2$ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline x & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 \\ \hline y & -4 & & & & & & & \\ \hline \end{array}

1. Plot the points on a set of axes and join to form a smooth curve
2. Use your graph to solve the equation $5-3x-2x^2=0$
3. Use your graph to find the solutions to $5-3x-2x^2=1$

[6 marks]

2. Find the missing angles

[4 marks]

3. Find x, w and y (the angle marked is 63 degrees!)

[3 marks]

4. A line passes through the point (3,-2) and has gradient 2. Write down the equation of the line in the form y=mx+c

[3 marks]

5. Convert 0.127272727.... to a fraction and simplify. Show all your working.

[3 marks]

6. It takes 4 window cleaners 7 days to clean an office building. How many days would it take 11 window cleaners to the nearest day? Show ALL your working out.

[3 marks]

7. Force (F) is proportional to acceleration (a). A force of 12 Newtons gives an acceleration of $3.6m/s^2$.

1. Find a formula for F in terms of a
2. Use the previous part to calculate the Force required to produce an acceleration of $2.4m/s^2$
3. What is the acceleration given by a 7.1 Newton force?

[3 marks]