Fundamentals of Algebra



Master the must know concepts and techniques of Algebra to launch your mathematical understanding.

What you will learn

Full student work book consisting of questions and worked solutions for every concept

Key fundamental algebraic concepts and techniques.

Operations with algebraic fractions.

Key techniques such as rearranging, cross multiplying and factorising.

How to solve a variety of equations including linear, quadratic, logarithm and indicial equations.

Using the quadratic formula

Description

This course will teach you the key fundamentals of Algebra. The biggest problem that students face when studying more in-depth mathematical topics such as calculus is not fully understanding the basics and having gaps in their knowledge. This leads to further problems down the track. This course will ensure you master the key ideas, fill in those gaps and set yourself up for future success. Upon completion of this course, you will be ready to take on more advanced topics such as algebra 2, Trigonometry and Calculus.

Section 2 starts right at the beginning and introduces key concepts and core skills such as expanding, factorising and performing operations with algebraic fractions. Section 3 builds on section 2 and teaches you the techniques to solve a variety of algebraic equations. These included linear, quadratic, non-monic quadratic, logarithmic, indicial and exponential equations.

How to get the most out of this course


This course is broken up into small individual sections designed to help you learn exactly what you need to know. The expertly crafted learning videos are designed to maximize your time. View the tutorial video and follow along. Pause and take notes as needed. After each of the tutorial videos you will find a ‘check of understanding’ which consists of 5 questions that relate to the material covered in the video/s. Complete the questions and check your Answers with the worked solutions so you can see how you are progressing.

Happy learning!

English
language

Content

Introduction- How to get the most out of this course

How to Navigate the Course

Algebra – The must know fundamentals

Introduction to Algebra
Introduction to Algebra – Language
Introduction to algebra – Operations with like Terms
Commutive, Associative and Distributive law
Expanding brackets or ‘parentheses’
Expanding brackets (Special cases)
Factorising
Factorising algebraic expressions
Factorising quadratic expressions
Factorising of non-monic quadratics and Difference of Perfect Squares
Multiplying and dividing algebraic fractions
Adding and subtracting algebraic fractions

Algebra – Techniques of solving algebraic equations

Identify linear equations and introduce the concept of balancing equations
Solve linear equations
Using the cross multiply technique to solve for unknowns in fractions
Rearranging equations to express formula with different unknowns
Solving quadratic equations by factorising
Quadratic formula and how to apply it to solve quadratic equations
Solving logarithmic equations
Solving Indicial equations (Part 1)
Solving Indicial equations (Part 2)
Exponential growth and decay

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