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By the end of this unit, students will be able to:
understand the concept of substitutions and their role in simplifying algebraic expressions and solving equations;
apply substitution techniques to solve equations and simplify expressions;
recognize situations where substitutions can be helpful and choose appropriate substitutions.
National Curriculum Objectives
Key Stage 4: Algebra
simplify and manipulate algebraic expressions (including those involving surds {and algebraic fractions}) by:
factorising quadratic expressions of the form x2Â + bx + c, including the difference of 2 squares; {factorising quadratic expressions of the form ax2Â + bx + c}
simplifying expressions involving sums, products and powers, including the laws of indices