Algebra | Leaving Cert Ordinary Level Maths | Alison

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Strand 4 Leaving Certificate Ordinary Level Algebra - Revised

Learn how to solve simultaneous equations, cubic equations, and inequalities, with this free maths course.

Free Course
This free online Leaving Certificate mathematics course will teach you all about ordinary level algebra. You will learn about expressions, formulas, and quadratics, which are used in determining anything from areas to a product's profit or the speed of an object. You will also learn about square roots, equations, complex numbers (which are a combination of real numbers and imaginary numbers), and more. Start learning, today!





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This course begins by showing you how to factor quadratics. You will learn how to factor the difference of two squares and expand brackets using the grid method and FOIL method. In addition, you will also learn how to expand any two brackets and rearrange simple formulae. You will study the two steps of rearranging simple formulae, rearrange formulae with squares and square roots, and rearrange formulae where subjects appear twice.

An equation is a statement that asserts the equality of two expressions. This course will teach you the steps in solving equations. You will look into inequality which is an equation that uses symbols for ""less than""(<) and ""greater than""(>) where an equation uses a symbol for ""is equal to"" (=). You will also learn how to solve complex numbers which are the building blocks of algebra and can be applied to different aspects of real life.

This course will show you how to represent numbers with letters and convert problems into equations among other algebraic concepts. Upon the completion of this course, you will have a better understanding of the steps involved in solving linear simultaneous equations with two unknowns, solving basic inequalities, interpreting the solutions of simple simultaneous equations, forming quadratic equations with given roots, and more. Check out the course and start expanding your algebra skills today!

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Learning Outcomes

Having completed this course students will be able to:

  • Recognize how to factorise quadratics
  • Discuss the difference of two squares in algebra
  • Identify how to expand brackets using both the grid and FOIL methods
  • Discuss rearranging algebraic formulas
  • Recognize how to solve linear equations that contain fractions
  • Recognize how to solve quadratic equations, using formula and graphics
  • Recognize how to solve simultaneous equations
  • Discuss solving equations that include indices in the equation
  • Identify how to find inequalities from shaded regions on a graph
  • Discuss solving linear inequalities with fractions
  • Recognize how to manipulate complex numbers and the algebra of complex numbers
  • Identify an Argand Diagram and what it’s use for
  • Discuss the meaning of i
  • Discuss patterns with imaginary numbers


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