Strand 4 Leaving Certificate Ordinary Level Algebra  Revised
Learn how to solve simultaneous equations, cubic equations, and inequalities, with this free maths course.
Description
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!
Start Course NowModules
Algebra

Algebra  Learning Outcomes

Factorising Quadratics

Factorising  Difference of Two Squares

Expanding Brackets (Grid Method)

Expanding Brackets (FOIL Method)

Expanding Any Two Brackets

Rearranging Simple Formulae

Rearranging Simple Formulae 2 Steps

Rearranging Formulae with Squares and Square Roots

Rearranging Formulae New Subject Appearing Twice

Algebra  Lesson Summary
Solving Equations

Solving Equations  Learning Outcomes

Equations with Linear Functions in The Denominator

Quadratic Equations Using The Formula

Quadratic Equations Non Unitary x Squared

Quadratic Equations Both Brackets The Same Sign

Quadratic Equations Brackets With Different Signs

Quadratic Equations That Have to be Rearranged

From Roots to Functions

Solving Simultaneous Equations Graphically

Simultaneous Equations Both Negative Signs

Simultaneous Equations Negative and Positive Signs

Simultaneous Equations Both Positive

Equations With Indices

Non Linear Simultaneous Equations

Solving Equations  Lesson Summary
Inequalities

Inequalities  Learning Outcomes

Finding Inequalities from Shaded Regions

Solving Linear Inequalities with Fractions

Inequalities  Lesson Summary
Complex Numbers

Complex Numbers  Learning Outcomes

Manipulating Complex Numbers and The Complex Conjugate

The Argand Diagram and Modulus

The Meaning of i

Patterns with Imaginary Numbers

Complex Numbers  Lesson Summary
Course assessment
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
Certification
All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:
Ideal for sharing with potential employers  include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning
Alison offers 3 types of Certificates for completed Certificate courses:
Digital Certificate  a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate  a physical version of your officially branded and securitymarked Certificate, posted to you with FREE shipping
Framed Certificate  a physical version of your officially branded and securitymarked Certificate in a stylish frame, posted to you with FREE shipping
All Certificates are available to purchase through the Alison Shop. For more information on purchasing Alison Certificates, please visit our FAQs. If you decide not to purchase your Alison Certificate, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certificate pricing, please visit our Pricing Page.