Introduction to Algebra Practice Questions

Simplify $8m + 3m - 5m$

Simplify $7x + 4y - 3x + 2y$

$p \times p$

$6 \times a \times b$

$y \div 8$

$R = 6s + 7$

Work out the value of $R$ when $s = 4$

$R = \dots\dots\dots$

$N = 3x + 2y$

Work out the value of $N$ when $x = 5$ and $y = 4$

$N = \dots\dots\dots$

Simplify $4c \times 7d$

Simplify $3 \times m \times 9 \times n$

Write down what A is.

Write down what B is.

Write down what C is.

Write down what D is.

$T = 5x - 2y$

$x = -3$, $y = 4$

Work out the value of $T$.

A temperature in degrees Fahrenheit ($F$) can be found from a temperature in degrees Celsius ($C$) using the formula

$$F = 1.8C + 32$$

Work out the value of $F$ when $C = -20$

$W = 3n^2$

Work out the value of $W$ when $n = 4$

The kinetic energy, $E$ joules, of a moving object is given by

$$E = \tfrac{1}{2}mv^2$$

Work out the value of $E$ when $m = 6$ and $v = 5$

Write down an expression, in terms of $x$, for the perimeter of the triangle.

Give your expression as simply as possible.

Work out the perimeter of the triangle when $x = 4$

Give the units with your answer.

Write down an expression, in terms of $n$, for the number of stickers Liam has.

Write down an expression, in terms of $n$, for the number of stickers Maya has.

Write down an expression, in terms of $n$, for the total number of stickers the three of them have.

Give your expression as simply as possible.

Write down an expression, in terms of $n$, for the total number of eggs Rafiq buys.

Rafiq uses 3 of the eggs.

He then shares the rest of the eggs equally between 3 people.

Write down an expression, in terms of $n$, for the number of eggs each person gets.

Work out the number of eggs each person gets when $n = 5$

Find an expression, in terms of $x$, for the length of the fourth side.

Give your expression as simply as possible.

Work out the length of the fourth side when $x = 4$