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# Strand 4 Leaving Certificate Higher Level Algebra - Revised

## Enhance your mathematical knowledge from Algebra to Numbers

Algebra
Free Course
This free online Algebra course will help any student studying project maths in their Leaving Certificate. The course will be an assist to anyone studying maths in this topic area. Algebra makes up for much of Paper 2, being seen throughout other topics in the Project Maths Course. By completing this free Algebra course, you will have covered all of the essential concepts of the topic. You will be all the more prepared for your exam.

6-10 Hours

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## Description

Algebra is the natural language and the lifeblood of Mathematics and perfectly links between number, trigonometry, geometry and functions. It would be impossible to solve or even formulate real-world problems without algebraic notation.

Firstly, students are introduced to representing numbers with letters and then they move on to look at how to convert problems into equations which can be solved by various well-known techniques in algebra.

Students are taught how to solve quadratic, cubic and simultaneous equations and then they expand their knowledge to the solutions of inequalities. Using trial and error to search for roots and using synthetic division is covered in this strand.

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## Learning Outcomes

Having completed this course students will be able to:

• Recognize how to factorise quadratics
• Identify how to expand brackets using both the grid and FOIL methods
• Discuss and define binomial Expansion
• 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
• Identify how to solve logarithmic and exponential equations
• Recognize how to solve Quadratic inequalities using the Graphical Method
• Recognize how to solve Quadratic inequalities using three different methods
• Define Rational Inequalities and recognize how to solve them
• Identify how to work out and calculate modulus inequalities and functions algebraically and graphically

## 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 security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping