In this essential GCSE Maths episode, Miss Sarah Blake guides students through the systematic approach to solving equations and inequalities. Learn the fundamental principle of maintaining balance when manipulating equations, and discover step-by-step methods for tackling linear equations with variables on both sides. The episode covers crucial inequality solving techniques, including the important rule about flipping inequality signs when multiplying or dividing by negative numbers. Students will master quadratic equation solving through factoring methods and understand when to apply the quadratic formula for more complex problems. The episode also explores simultaneous equations using elimination and substitution methods. Miss Sarah emphasizes the importance of checking answers through substitution and highlights how proper working can earn valuable method marks in GCSE examinations. Perfect for students preparing for their GCSE Maths exam, this episode builds confidence through clear explanations and practical examples. Whether you're struggling with basic linear equations or tackling more advanced quadratic problems, this comprehensive guide provides the tools needed for exam success. Essential listening for Year 10 and Year 11 students, parents supporting their children's learning, and anyone seeking to strengthen their algebraic problem-solving skills for GCSE Mathematics.