4.1 Homework 3

Homework 3: To be done neatly in the front of your books.
TOTAL 24 marks

1. Jon is twice the age of his son. 9 years ago he was three times the age of his son. How old is Jon's son currently?

[3 marks]

2. Show all your working out and leave answers as mixed numbers where needed:

1. $2\dfrac{4}{5} \times 3\dfrac{1}{3}$
2. $2\dfrac{1}{6} \div 4\dfrac{1}{3}$

[4 marks]

3.

The graph shows a plot of $y=x^3+x^2-6x-1$.

1. Find the values of x for which the gradient is 0
2. Use the plot to estimate the gradient when $x=0$

[4 marks]

4. Expand $(x+h)^4$ and use the result to find the gradient function for $y=x^4$

[5 marks]

5. Find the equation of a line which is parallel to the line $4x-3y=6$ but goes through the point (-2,7). Give your answer in the form $ay+bx=c$

[4 marks]

6. Find the equation of the line which is perpendicular to the line $3y-2x=12$ and passes through the point (-2,5). Give your answer in the form $ay+bx+c=0$

[4 marks]