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Supply and demand is a well-known example of how maths helps us model real situations that occur in the world. Economists and business analysts use simultaneous equations to model how changes in price will affect both the supply of, and demand for, a particular product. This allows them to forecast the optimum price-the price at which both supply and demand are optimised. Algebra is a branch of maths that includes simultaneous equations, along with many other topics such as inequalities, surds and polynomial functions. Algebra is used to model real world occurrences in fields such as economics, engineering and the sciences, and so an understanding of algebra is important in a wide range of different situations. © To use direct proof, Ch12 Algebra 2 © Understand and use proof by exhaustion Functions. algebraic notation and and counter examples. > Parametric equations. vocabulary. © Touse and manipulate Algebraic and partial © Simplify and manipulate >| index laws. fractions. algebraic expressions. : © To manipulate surds and rationalise a e Rearrange formulae to [SSSR denominator. Ch17 Numerical Methods change the subject. Solve linear equations. © To solve quadratic Simple and iterative root equations and sketch > finding. quadratic curves. Newton-Raphson root v © To understand and use finding. coordinate geometry. © Tounderstand and solve simultaneous equations. © To understand and solve inequalities. Practise before x > 9 @my: < you start | © 1170, 1171, 1928, 1929 Bs)