IGCSE Algebra

Solve the equation  $9f+11=3f+23$ 

  $f=?$  

 $5m^2\times2m^3$ 

 Simplify the above (Give answer as Am^n, where A and n are integres)

 $\left(x^8\right)^3$  Simplify

 $5x+8y=4\$   $\frac{1}{2}x+3y=7$  

Solve the simultaneous equations to find the value of x and y.

• x= 4, y = 3

• x = - 4; y = -3

• x = - 4 ; y = 3

 $\frac{2x}{x+3}+\frac{x+3}{x-5}$  Write as a single fraction in its simplest form.

•  $\frac{x^2-4x+9}{\left(x+3\right)\left(x-5\right)}$  

•  $\frac{3x^2-4x+9}{\left(x+3\right)\left(x-5\right)}$  

•  $\frac{3x^2-4x-9}{\left(x+3\right)\left(x-5\right)}$  

•  $\frac{3x^2+4x-9}{\left(x+3\right)\left(x-5\right)}$  

 $P=\frac{k+m}{m}$  Rearrange this formula to make m the subject.

•  $m=\frac{k}{P+1}$  

•  $m=\frac{k}{1-P}$  

•  $m=\frac{k}{P-1}$  

•  $m=\frac{P-1}{k}$  

 $3x^2-2x-10=0.$  

Solve the equation and give your answers correct to 2 decimal places.
Choose all that is correct.

• -2.19

• 2.19

• -1.52

• 1.52

The number of newspapers sold decreases exponentially by x% each year.

Over a period of 21 years the number of newspapers sold decreases from 1 763 000 to 58 000.

Calculate the value of x.

• 15 %

• 1.5 %

• 14%

• 14.78%

Every page of the newspaper is a rectangle measuring 43 cm by 28 cm, both correct to the nearest

centimetre.

Calculate the upper bound of the area of a page. Give complete answer

The equation of a straight line is

2y = 3x+4.

Find the gradient of this line.

• 3

• -3

• 
  

  $\frac{2}{3}$
  

• $\frac{3}{2}$