Introduction to Algebra (Edexcel GCSE Maths: Foundation): Exam Questions

$A=\frac{1}{4}b{c}^2$

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

Simplify $8b+b-2b$

Simplify $5\times d\times 4\times e$

Simplify $p^2+p^2+p^2$

$T=3a^{2}b$

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

Avi has $m$ pots of olives and $n$ bottles of olives.

There are 6 olives in each pot.

There are 30 olives in each bottle.

Avi has a total of $O$ olives. Write a formula for $O$ in terms of $m$ and $n$.

$Q=3t+\frac{10}{c}$

Work out the value of $Q$ when $t=7$ and $c=-2$.

Let $a=-1$ and $b=-3$.

Compare each pair of expressions by writing the correct symbol <, > or = between them.

Match each of the following to the correct description

Complete this table of values

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

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

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

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

$c=5a-2b$

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

[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.