Further solving of equations and inequalities (Revision)

Further solving of equations and inequalities (Revision)

Chapter 14

Further solving of equations and inequalities

• 14.1 simultaneous linear equations

• 14.2 linear inequalitites

• 14.3 regions in a plane

• 14.4 linear programming

• 14.5 completing the square

• 14.6 quadratic formula

• 14.7 factorizing quadratics and 14.8 algebraic fractions

Open Ended

solve for x and y if

 $3x+y=1\ and\ x-2y=12$  

Open Ended

Mr Habib has $15 000 to invest. His portfolio has two parts, one which yields 5% p.a. and the other 8% p.a. The total interest on the investment was $1050 at the end of the first year. How much did he invest at each rate?

Open Ended

Simplify the in equality

 $5-2x\ge7$  

Open Ended

represent

 $-2<x\le3$   graphically

Open Ended

factorise

 $\left(x+1\right)^{2\ }-5\left(x+1\right)-14$  

Open Ended

 $Factorise\ a^{4\ }-b^4$  

Open Ended

 $Solve\ the\ equation\ 5x^2-3x=-3x^2+5$  

Open Ended

Use quadratic formula to solve

 $5x^2+8x-4=0$  

Open Ended

 $Simplify\ \frac{1}{2x^2+11x+5}-\frac{1}{2x^2-x-1}$  

Open Ended

 $Simplify\ \frac{4}{x^2+2x-8}\div\frac{4}{x^2-x-2}-\frac{2}{x^2+4x}$