4.1 Blog Homework 2

Homework 1: To be done neatly in the front of your books. No Calculator
TOTAL 30 marks

1. In an aptitude test of 100 questions, you score 7 points for a correct answer but lose 3 for an incorrect answer. If Jon scored 210 points, how many questions did he get right? SHOW ALL YOUR WORKING

[4 marks]

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

1. $7\dfrac{2}{3} - 3\dfrac{3}{4}$
2. $3\dfrac{4}{5} \times 2\dfrac{1}{4}$
3. $4\dfrac{5}{6} \div 2\dfrac{3}{7}$

[6 marks]

3.

1. Find the gradient of the line
2. Using the previous part and the coordinates of one of the points on the line, work out the equation of the line

[6 marks]

4. Find the equation of the line which passes through (-2,5) and (4,-7). Give your answer in the form $ax+by+c=0$

[3 marks]

5. Find the gradient and y intercept of the line $4x-3y=6$

[2 marks]

6. Factorise $6x^2+11x-10$

[2 marks]

7. Make $x$ the subject: $y=\dfrac{x^2-3}{5+x^2}$

[3 marks]

8. 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]