Add, subtract, multiply and divide numerical fractions.

Adapted from 'Algebraic fractions: operations involving algebraic fractions' by Ben Brawn.

Some practice collecting like terms of algebraic expressions, with detailed advice.

Adapted from 'Collecting like terms' by Ben Brawn.

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Simplifying algebraic expressions

Practice with adding, subtracting and dividing basic algebraic fractions

Practice with adding, subtracting and dividing basic algebraic fractions

Putting algebraic fractions into their simplest forms

A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

Questions on rearranging expressions, expanding brackets and collecting like terms.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Questions on rearranging expressions, expanding brackets and collecting like terms.

Inputting algebraic expressions into Numbas.

Inputting ratios of algebraic expressions.

Inputting algebraic expressions into Numbas.

Inputting algebraic expressions into Numbas.

Inputting algebraic expressions into Numbas.

Inputting algebraic expressions into Numbas.

Inputting algebraic expressions into Numbas.

Inputting ratios of algebraic expressions.

Putting algebraic fractions into their simplest forms

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Add, subtract, multiply and divide algebraic fractions.

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Solve a simple linear equation algebraically. The unknown appears on both sides of the equation.

Solve a Differential equation with a repeated linear factor

Solve a Differential equation with 3 simple linear factors