Substitutions​

By the end of this unit, students will be able to:

1. understand the concept of substitutions and their role in simplifying algebraic expressions and solving equations;
2. apply substitution techniques to solve equations and simplify expressions;
3. recognize situations where substitutions can be helpful and choose appropriate substitutions.

Curriculum Alignment: Key Stage 4: Algebra

• simplify and manipulate algebraic expressions (including those involving surds {and algebraic fractions}) by:
  • factorising quadratic expressions of the form x² + bx + c, including the difference of 2 squares; {factorising quadratic expressions of the form ax² + bx + c}
  • simplifying expressions involving sums, products and powers, including the laws of indices