Introduction to Algebra (Cambridge International IGCSE Maths): Exam Questions

Simplify.

6a-3b+2a-4b

Simplify.

$4x+3y+2x-8y$

$W=3a+5c$

Find the value of $W$ when $a$ = 6 and $c$ = 2.

$W$ = .................................................

Simplify $3c-5d-c+2d$

Simplify.

$5w+3h-7w+8h$

Simplify $5c-d-3d-2c$.

Simplify 5t+4t-2t

Simplify $8a+3b-2a+b$

$A=\frac{1}{4}bc^{2}$

Calculate the value of$A$when $b$= 3 and c = 6.

$T=3a^{2}b$

Find the value of $T$ when a = 4 and b = 5.

$T$=.....................................

Kyra has a faulty thermometer. It always shows the temperature as 2°C higher than the actual temperature. The temperature on the thermometer is $T$°C.

Write an expression, in terms of $T$, for the actual temperature.

............................................ °C

Calculate the value of $4x^{2}+xy$ when $x=3$ and $y=-2$.

Simplify.

$4x-12y+10x+25y$

The cost to manufacture a product is given by the formula:

$C = \frac{3m^{2}t}{4} + 2 m t - 5$

where $C$ is the cost in pounds, $m$ is the material cost in pounds per unit, and $t$ is the time in hours.

Calculate the cost to manufacture the product when the material cost is £8.40 per unit and the time is 3 hours.

A pen costs 60 cents and a ruler costs 29 cents. Write down an expression for the total cost, in cents, of $x$ pens and $y$rulers.

........................................ cents

$A = \frac{( a + b ) h}{2}$

Work out the value of $h$ when $A$ = 38.64, $a$ = 5.5 and $b$ = 3.7

$h$= .................................................

$c=5a-2b$

i) Find the value of $c$ when $a$ = 8 and $b$ = −3.

ii) Make $a$ the subject of the formula $c=5a-2b$.

$a$ = ................................................... [2]

Simplify.

$9x-2y-5x-y$

$P=4ab+3b^{2}$

Work out the value of a when $P$ = 35 and $b$ = 5.

$a$ = ...................................................

Find an expression for the perimeter of this triangle. Give your answer in its simplest form.