5.3 Homework 27.11.14

Due Monday 1st December, neatly in front of book. 14 Marks

1. Solve by factorising $3x^2+14x-24=0$

   [3 marks]

2. The length of a rectangle is 6cm longer than the width (call this x). If the area of the rectangle is 50 square cm, write down an equation for x, solve it and use it to find the perimeter of the rectangle to 1 decimal place. You may need to use the formula.

   [4 marks]

3. Solve this inequality with a sketch $2x^2-5x-3<0$

   [4 marks]

4. Evaluate, showing all of your working:\[ \left(\dfrac{125}{8}\right)^{-\frac{2}{3}} + \left(\dfrac{81}{64}\right)^{-\frac{3}{2}} \]

   [3 marks]