Free course

Introduction to algebra

This free course is an introduction to algebra which builds on the idea of using letters to represent numbers. Section 1 looks at finding, simplifying and using formulas and includes useful tips on learning algebra. Section 2 introduces some of the terminology used in algebra and techniques such as evaluating and checking equivalence of expressions, identifying terms in an expression and collecting like terms. Section 3 looks at how to simplify terms and introduces index notation and multiplying powers. Section 4 looks at the use of brackets in algebra and section 5 covers solving, checking and using simple linear equations.

Course learning outcomes

After studying this course, you should be able to:

  • recognise technical terms and appreciate some of the uses of algebra
  • collect like terms and simplify expressions term by term
  • multiply out brackets
  • simplify some formulas
  • solve simple linear equations.

You can start this course right now without signing-up. Click on any of the course content sections below to start at any point in this course.
If you want to be able to track your progress, earn a free Statement of Participation, and access all course quizzes and activities, sign-up.

Course content