Algebra in Mathematics
Make learning about the addition and subtraction of algebraic fractions interesting with this online Math course.
Description
Do you know that the word algebra came from the Arabic word aljabr. This word dates back to the title of a 9thcentury manuscript written by the mathematician AlKhwarizmi, who is known as the Father of Algebra. Now that you know whom to thank Algebra for, it's time to learn it. First, this course will clearly explain the basic operations of addition and subtraction, and will show you how to simplify quadratic equations. This will make your future algebra studies much easier.
This online Algebra course then applies Math to realworld problems. You will be given a good understanding of algebraic notation and be shown how to use algebra to calculate the cost of renting a car, the speed of a car, and temperature conversions. You will then be guided through the processes of simplifying, verifying, and expanding algebraic expressions. In no time at all, you will master binomial expressions, quadratic trinomials, and other algebraic concepts that used to make you scratch your head in confusion.
By the end of this Algebra in Mathematics course, you will have gained a much stronger understanding of algebraic fractions. This will make it much easier to get an A in your next Math test, or just to find the subject of algebra a little less overwhelming. This course is ideal for students looking for extra help, or even for a different approach to learning Math. So, check out the course and make finding your X's and Y's a lot easier today.
Start Course NowModules
Algebraic Expressions 1

Simplifying algebraic expressions without using algebra blocks

Verifying the simplified form of an algebraic expression

Verifying the simplification using substitution  examples

Verifying the simplification using a spreadsheet

Adding and subtracting terms  practice questions 1

Adding and subtracting terms  practice questions 2

Mulitplying terms  Commutative Law

Multiplying terms  rearranging 1

Multiplying terms  rearranging 2

Dividing terms  rearranging 1

Dividing terms  rearranging 2

Adding and subtracting like terms without using algebra blocks
Algebraic Expressions 2

Expanding and simplifying algebraic expressions

Distributive Law  algebra blocks

Distributive Law  expansion

Expanding and collecting like terms

Expanding and simplifying algebraic expressions
Algebraic Fractions 1

Introduction to algebraic fractions

Adding simple algebraic fractions

Subtracting algebraic fractions

Fractions with letters in the denominators

Binomials in denominator

Speed and algebraic fractions

The faster car takes less time

Calculating the time difference

Adding and subtracting algebraic fractions
Algebraic Fractions 2

Factorising algebraic expressions

Factorising algebraic expressions

Highest common factor

More complex highest common factors

Factorising algebraic expressions
Algebraic Fractions 3
Binomial Expressions 1

Binomial expressions

Binomial expansions with like and unlike terms

Binomial expansions

Binomial expansions and areas

Using binomial expansions for problem solving

Binomial expansions  reminder

Binomial expansion with two variables

Binomial expansions  practice questions
Binomial Expressions 2

Binomial expansions with perfect and nonperfect squares

Binomial expansions with nonperfect squares

Expanding perfect squares  practice questions

Binomial expansions with perfect squares

Binomial expansions with perfect squares
Binomial Expressions 3

Binomial expansions  Difference of perfect squares

Difference of perfect squares (DOPS)

Expanding and simplifying algebraic expressions  practice questions

Expanding using the difference of perfect squares rule

Difference of perfect squares rule

Difference of perfect squares
Completing the Square

Completing the square

Factorising quadratic trinomials using the method of completing the square

Process to factorise a quadratic trinomial by the method of completing the square
Perfect Squares

Using the difference of perfect squares 1

Using the difference of perfect squares 2

Factorising using the difference of perfect squares (DOPS) expressions
Introduction to Algebra
Quadratic Trinomials

What are quadratic trinomials?

Factorising the general form by inspection

Factorising quadratic trinomials

Factorising algebraic expressions  quadratic trinomials

Factorising quadratic trinomials

Factorising quadratic trinomials

Factorisation of quadratic trinomials
Substitution into Algebraic Expressions
Summary of Factorisation

Summary of factorisation

Practice question  Sally's patio

Practice question  in the swim with algebra

Practice question  algebra can be fishy
Terminology for Algebraic Expressions
Using Formulae 1

Using formulae

The XSIQ petrol pump

Petrol stations

Renting a car

Get real rentacar deal

Speed examples

Speed

Temperature

Temperature examples

Temperature converter
Using Formulae 2
Assessment
Learning Outcomes
After completing this course you will have a good understanding of algebraic notation. You will be able to use algebra to calculate the cost of renting a car, the speed of a car, and temperature conversions.
You will gain a good knowledge of simplifying, verifying, expanding, adding and subtracting algebraic expressions. You will be aware of the Distributive Law.
This course will teach you algebraic fractions. You will learn binomial expressions, quadratic trinomials and many more algebraic concepts.
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:
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An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning
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This Course has been revised!
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