GCSE Maths Quadratic and Simultaneous Equations: lesson and practice questions

By the end of this chapter you will be able to

• Factorise quadratic expressions, including the difference of two squares (and ax2 + bx + c at Higher)
• Solve quadratic equations by factorising, using the null factor law, after rearranging if necessary
• Form and solve quadratic equations from areas, consecutive numbers and other problems
• Solve simultaneous linear equations by elimination and by substitution
• Solve simultaneous equations from graphs, and form them from words

You should already know

• Expanding single and double brackets (Chapter 7)
• Solving linear equations (Chapter 9)
• Plotting straight-line and quadratic graphs (Chapters 12 and 13)
• Square roots and surds (Chapter 6)

Where this leads

• Quadratic inequalities (Chapter 10)
• Equations of circles and tangents (Chapter 25)
• Algebraic proof and rates of change in higher mathematics
• Pythagoras and area problems (Chapters 18 and 20)