
Free

XSIQ

34 Hours

Assessment

Certification

50 Pts
Algebra in Mathematics

Description

Outcome

Certification

This free online course offers a comprehensive introduction to algebra and carefully explains the concepts of algebraic fractions. It guides you from basic operations, such as addition and subtraction, up to simplifying quadratic equations and more. It applies maths to realworld problems. This course is ideal for students looking for extra help, or even for a different approach to learning maths.

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 binonial expressions, quadratic trinomials and many more algebraic concepts.

All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.
Having an official Alison document is a great way to celebrate and share your success. It is: Ideal to include with CVs, job applications and portfolios
 A way to show your ability to learn and achieve high results
Modules List( 18 )

Module
1 Introduction to Algebra
Introduction to AlgebraThis course introduces you to algebra. It uses interactive presentation to explain the concepts. This is ideal for those learners seeking to learn how to manipulate algebraic expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Introduction to algebra

The language of algebra

Algebraic notation


Module
2 Using Formulae 1
Using Formulae 1Many realworld problems require a formula to be used for a solution to be achieved. This course covering using formulae to solve algebraic problems. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Using formulae

The XSIQ petrol pump

Petrol stations

Renting a car

Get real rentacar deal

Speed examples

Speed

Temperature

Temperature examples

Temperature converter


Module
3 Using Formulae 2
Using Formulae 2This free online course continues the use of formulae to solve algebraic problems. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

The using formulae speed video

The using formulae temperature video


Module
4 Algebraic Expressions 1
Algebraic Expressions 1 This free online course describes and explains algebraic equations. This is extremely useful for anyone interested in mathematics. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

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


Module
5 Algebraic Expressions 2
Algebraic Expressions 2This free online course continues algabraic expressions. It covers expanding and simplifying algebraic equations. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Expanding and simplifying algebraic expressions

Distributive Law  algebra blocks

Distributive Law  expansion

Expanding and collecting like terms

Expanding and simplifying algebraic expressions


Module
6 Algebraic Fractions 1
Algebraic Fractions 1This free online course introduces algebraic fractions. It carefully explains the concepts and introduces basic operations, such as addition and subtraction. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

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


Module
7 Algebraic Fractions 2
Algebraic Fractions 2This free online course continues the lessons on algebraic fractions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Factorising algebraic expressions

Factorising algebraic expressions

Highest common factor

More complex highest common factors

Factorising algebraic expressions


Module
8 Algebraic Fractions 3
Algebraic Fractions 3This free online course continues the lessons on algabraic fractions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Factorising algebraic expressions  grouping

Grouping two and two

Grouping three terms and one term


Module
9 Terminology for Algebraic Expressions
Terminology for Algebraic ExpressionsThis course covers the terminology used when talking about and explaining algebraic equations. This is extremely useful for anyone interested in mathematics. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Terminology for algebraic expressions


Module
10 Binomial Expressions 1
Binomial Expressions 1This free online course introduces you to binomial expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

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


Module
11 Binomial Expressions 2
Binomial Expressions 2This interactive mathematics course continues the lessons on binomial expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

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


Module
12 Binomial Expressions 3
Binomial Expressions 3This free online course continues the lessons on binomial expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

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


Module
13 Completing the Square
Completing the SquareThis online course covers completing the square. It features hints and tips for expanding square algebraic expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

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


Module
14 Perfect Squares
Perfect SquaresThis free interactive course covers hints and tips for completing perfect squares. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Using the difference of perfect squares 1

Using the difference of perfect squares 2

Factorising using the difference of perfect squares (DOPS) expressions


Module
15 Quadratic Trinomials
Quadratic TrinomialsThis section covers quadratic trinomials. If you thought binomials were heavy, wait until you see this one!The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

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


Module
16 Substitution into Algebraic Expressions
Substitution into Algebraic ExpressionsWhen pronumerals are replaced by numbers or expressions, the process is called substitution. This course covers substitution. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Substitution into algebraic expressions


Module
17 Summary of Factorisation
Summary of FactorisationThis course summarises the processes and procedures of factorisation. This provides great help in solving algebraic problems. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.

Summary of factorisation

Practice question  Sally's patio

Practice question  in the swim with algebra

Practice question  algebra can be fishy


Assessment

Assessment

Algebra Assessment
