What is algebra and why do we use it?

Algebra is a part of mathematics in which letters or symbols are used to represent either a known constant or an unknown value. Algebra is often used within formulae in which we can extrapolate an answer, an example being the 'Quadratic Equation'.

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A box contains 7 caramel doughnuts. They have masses of 56 g, 67 g, 45 g, 56 g, 58 g, 49 g and 50 g. Find the median, mean and mode values of these masses. Bonus: What mass of doughnut could be added to the box to make the mean mass = 61 g.


Find an equation of the straight line that is perpendicular to the straight line x + 3y = 7 and that passes through the point (4,9).


Bob earns £7.70 an hour, and he works 30 hours per week. If Bob has 28 days of unpaid holidays to take, how much does he earn in a year? Also will he be taxed? (Bob will be taxed if he earns over £10000 in one year)


A plane flew from Frankfurt to Hong Kong. The flight time was 10hours 45minutes. The average speed was 852km/h. Work out the distance the plane flew.