Factorising and Solving Quadratic Equations - GCSE Basic Algebra Questions

Students often find certain topics like Algebra challenging. I’d like to identify the difference between simple and complex quadratic equations and solve them as examples. The questions are real GCSE (UK/Edexcel) exam questions

To solve a quadratic equation (equation of the highest power of 2), one MUST first know how to factorise the equation.

Factorising and solving simple quadratic expressions

Factorising and solving simple quadratic expressions (and equations) like x2 – 4 (difference of 2 squares) and x2 + 4x + 4 can be easy. 

But such this work, introduced in Grade 9 or 10, often paves way for harder questions in later years. 

See the illustrations below on how to solve quadratic equations. You can relate these examples to the questions your teachers set for you.

Solving Simple Quadratic Equations

solve GCSE algebra questions - quadratic equations

Factoring Method or Quadratic Formula (Part I)

The factoring method is introduced early in Year 7 and covered extensively in the later years at secondary schools.

More on Solving Complex Quadratic Equations

Find out either to Factorise and solve or use the Quadratic formula in Part (II)

Download GCSE Maths past papers

You can download the past GCSE exam papers online. Here are some websites that many students prefer to use.

  • Maths Genie
  • Maths Watch
  • Dr Frost maths
  • Cobette Maths
  • GCSE maths in four weeks
Stationery items you will need for exams are available at Ryman: GCSE maths stationery items