Formulae and expressions A3.1 Extension Plenary Throw a dice four times and jot down the number scored with each throw. Use the equation generator below to construct an equation. Work in pairs to solve your equations. Make a note of any that you cannot solve. Preamble This activity gives pupils practice solving linear equations in a relatively ‘fun’ context. Working in pairs should encourage pupils to discuss any ‘impossible’ equations generated. Some of these, such as 2x + 1 = 2x + 5, may be truly impossible; others, perhaps involving fractions, might only seem so to the pupils and may need some discussion. The truly impossible equations should be considered with the whole group – not just discarded. Possible content Solving linear equations with unknowns on both sides. Resources None. Solution/Notes The impossible equations have the same coefficients of x, but different constants, on each side of the equation.