Knowunity AI

Open the App

Subjects

MathsMaths224 views·Updated May 23, 2026·1 page

Understanding Basic Algebra: Key Concepts Explained

W
William Osborne@williamosborne_gsea

Algebra might seem scary at first, but it's actually just... Show more

1
of 1
# Basic Algebra

Algebra is a form of mathematics, where you are provided with an equation where you have unknown variables. The idea of Alg

Basic Algebra

Algebra is like being a detective - you're given clues in the form of equations, and your job is to solve for the mystery number. This mystery number is called an unknown variable, usually represented by letters like x or y.

Let's look at a classic example: 3x + 5 = 14. Your mission? Find out what x equals! The key is learning how to isolate the variable - basically getting x all by itself on one side of the equation.

The golden rule of algebra is whatever you do to one side, you must do to the other side too. Think of an equation like a perfectly balanced scale - you can't tip it! So if you subtract 5 from the left side, you absolutely have to subtract 5 from the right side as well.

Here's the step-by-step breakdown: Start with 3x + 5 = 14, subtract 5 from both sides to get 3x = 9, then divide both sides by 3 to find x = 3. It's that straightforward once you know the rules!

Top Tip: Never start by trying to deal with the coefficient (the number in front of x) first - always move the standalone numbers to the other side before dividing!

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.

Where can I download the Knowunity app?

You can download the app from Google Play Store and Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Most popular content: Algebra

2

Most popular content in Maths

9
MathsMaths

Comprehensive Maths Concepts

Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.

1079,7036,318
MathsMaths

GCSE Maths (Higher) // Revision Guide

The only GCSE maths (higher) revision guide you need to get a grade 9! Contains every topic, each with all potential question types and their solutions.

102,24453
MathsMaths

Comprehensive Maths Concepts

Explore essential mathematical concepts including polynomial theorems, logarithmic properties, trigonometric functions, and integration techniques. This resource covers everything from solving inequalities to understanding exponential functions, providing a solid foundation for A-level mathematics. Ideal for students aiming for top grades.

1221,9761,816
M
MathsMaths

Medium Level alerbra

Master challenging maths concepts with this medium level flashcard set designed for grade 7/8 students. Strengthen your problem-solving skills and boost your confidence in maths!

74863
M
MathsMaths

Mastering Maths: Essential Concepts for Grade 10

Boost your math skills with this comprehensive flashcard set covering key concepts for grade 10. Perfect for exam preparation and building a strong foundation in mathematics.

103911
M
MathsMaths

Mastering Medium-Level Maths: Essential Flashcards for Grade 11 Students

Boost your Maths skills with this comprehensive set of flashcards designed specifically for Grade 11 students. Covering medium-level topics, these cards will help you ace your exams and build a solid foundation for advanced Maths.

118653
MathsMaths

Comprehensive Maths Concepts

Explore essential higher mathematics concepts including calculus, trigonometry, polynomials, and vector analysis. This summary covers key topics such as differentiation, integration, quadratic equations, and the properties of circles, providing a solid foundation for exam preparation. Ideal for students seeking a concise yet thorough review of advanced mathematical principles.

S51,93757
MathsMaths

AS Level Statistics Overview

Explore key concepts in AS Level Statistics, including hypothesis testing, binomial distribution, linear regression, and sampling methods. This summary covers essential statistical measures, significance levels, and data analysis techniques, providing a comprehensive guide for Year 1 applied maths students.

121,51661
P
MathsMaths

Percentage,fractions and decimals

how well do you know percentages,fractions and decimals

72533

Most popular content

9
SociologySociology

Sociology of Education Overview

Explore comprehensive A-Level Sociology notes on the education system, covering key theories, policies, and sociological perspectives. This resource includes insights on marketisation, gender roles, cultural deprivation, and educational inequalities, providing a thorough understanding of how education shapes social stratification and individual achievement. Ideal for exam preparation and in-depth study.

12102,1743,037
SociologySociology

Sociology of Families: Comprehensive Revision

Dive into an extensive overview of family dynamics, perspectives, and patterns in sociology. This resource covers key concepts such as family diversity, gender roles, marriage, and the impact of social policies on family structures. Perfect for A-Level Sociology students preparing for Paper 2.

1273,0542,303
CriminologyCriminology

Criminology: Crime & Punishment Overview

Comprehensive mindmaps covering key concepts in the Crime and Punishment topic for WJEC Criminology Unit 4. This resource includes detailed insights into the Criminal Justice System, crime prevention strategies, sentencing models, and the roles of various agencies. Ideal for A-Level revision, ensuring you grasp essential theories and legislative processes to excel in your exams.

1253,7321,048
English LiteratureEnglish Literature

An Inspector Calls: Character Insights

Explore in-depth analysis and key quotes for characters in J.B. Priestley's 'An Inspector Calls'. This resource covers Gerald Croft, Inspector Goole, Sheila Birling, Mrs. Birling, Eric Birling, and Eva Smith, focusing on themes of class, gender roles, and social responsibility. Ideal for students aiming for Grade 8 and above.

1025,133899
CriminologyCriminology

WJEC Unit 4 Criminology

Criminology unit 4 detailed revision note

126,887123
CriminologyCriminology

Criminology Theories Overview

Explore key criminology theories and their implications on crime and deviance. This comprehensive summary covers biological, psychological, and sociological perspectives, including labelling theory, right realism, and the impact of social campaigns on policy development. Ideal for A-Level criminology students seeking to understand the complexities of criminal behaviour and the factors influencing crime prevention strategies.

129,741211
English LiteratureEnglish Literature

Romeo and Juliet: Key themes

Key Romeo and Juliet themes and analysed quotes

106,573194
English LiteratureEnglish Literature

Macbeth: Guilt and Ambition

Explore the complex themes of guilt and ambition in Shakespeare's 'Macbeth'. This analysis covers key characters, including Macbeth and Lady Macbeth, their moral dilemmas, and the tragic consequences of their ambition. Ideal for students studying character motivations, thematic elements, and the psychological impact of power. Includes insights on the natural order, manipulation, and the descent into madness.

918,711389
C
BiologyBiology

Cell Biology and Cell structure

cell structures

92,4940

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.6/5App Store
4.7/5Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan SiOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user

MathsMaths224 views·Updated May 23, 2026·1 page

Understanding Basic Algebra: Key Concepts Explained

W
William Osborne@williamosborne_gsea

Algebra might seem scary at first, but it's actually just a puzzle where you need to find the missing piece! It's all about working out what unknown numbers (called variables) are hiding in mathematical equations.

1
of 1
# Basic Algebra

Algebra is a form of mathematics, where you are provided with an equation where you have unknown variables. The idea of Alg

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

Basic Algebra

Algebra is like being a detective - you're given clues in the form of equations, and your job is to solve for the mystery number. This mystery number is called an unknown variable, usually represented by letters like x or y.

Let's look at a classic example: 3x + 5 = 14. Your mission? Find out what x equals! The key is learning how to isolate the variable - basically getting x all by itself on one side of the equation.

The golden rule of algebra is whatever you do to one side, you must do to the other side too. Think of an equation like a perfectly balanced scale - you can't tip it! So if you subtract 5 from the left side, you absolutely have to subtract 5 from the right side as well.

Here's the step-by-step breakdown: Start with 3x + 5 = 14, subtract 5 from both sides to get 3x = 9, then divide both sides by 3 to find x = 3. It's that straightforward once you know the rules!

Top Tip: Never start by trying to deal with the coefficient (the number in front of x) first - always move the standalone numbers to the other side before dividing!

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.

Where can I download the Knowunity app?

You can download the app from Google Play Store and Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Most popular content: Algebra

2

Most popular content in Maths

9
MathsMaths

Comprehensive Maths Concepts

Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.

1079,7036,318
MathsMaths

GCSE Maths (Higher) // Revision Guide

The only GCSE maths (higher) revision guide you need to get a grade 9! Contains every topic, each with all potential question types and their solutions.

102,24453
MathsMaths

Comprehensive Maths Concepts

Explore essential mathematical concepts including polynomial theorems, logarithmic properties, trigonometric functions, and integration techniques. This resource covers everything from solving inequalities to understanding exponential functions, providing a solid foundation for A-level mathematics. Ideal for students aiming for top grades.

1221,9761,816
M
MathsMaths

Medium Level alerbra

Master challenging maths concepts with this medium level flashcard set designed for grade 7/8 students. Strengthen your problem-solving skills and boost your confidence in maths!

74863
M
MathsMaths

Mastering Maths: Essential Concepts for Grade 10

Boost your math skills with this comprehensive flashcard set covering key concepts for grade 10. Perfect for exam preparation and building a strong foundation in mathematics.

103911
M
MathsMaths

Mastering Medium-Level Maths: Essential Flashcards for Grade 11 Students

Boost your Maths skills with this comprehensive set of flashcards designed specifically for Grade 11 students. Covering medium-level topics, these cards will help you ace your exams and build a solid foundation for advanced Maths.

118653
MathsMaths

Comprehensive Maths Concepts

Explore essential higher mathematics concepts including calculus, trigonometry, polynomials, and vector analysis. This summary covers key topics such as differentiation, integration, quadratic equations, and the properties of circles, providing a solid foundation for exam preparation. Ideal for students seeking a concise yet thorough review of advanced mathematical principles.

S51,93757
MathsMaths

AS Level Statistics Overview

Explore key concepts in AS Level Statistics, including hypothesis testing, binomial distribution, linear regression, and sampling methods. This summary covers essential statistical measures, significance levels, and data analysis techniques, providing a comprehensive guide for Year 1 applied maths students.

121,51661
P
MathsMaths

Percentage,fractions and decimals

how well do you know percentages,fractions and decimals

72533

Most popular content

9
SociologySociology

Sociology of Education Overview

Explore comprehensive A-Level Sociology notes on the education system, covering key theories, policies, and sociological perspectives. This resource includes insights on marketisation, gender roles, cultural deprivation, and educational inequalities, providing a thorough understanding of how education shapes social stratification and individual achievement. Ideal for exam preparation and in-depth study.

12102,1743,037
SociologySociology

Sociology of Families: Comprehensive Revision

Dive into an extensive overview of family dynamics, perspectives, and patterns in sociology. This resource covers key concepts such as family diversity, gender roles, marriage, and the impact of social policies on family structures. Perfect for A-Level Sociology students preparing for Paper 2.

1273,0542,303
CriminologyCriminology

Criminology: Crime & Punishment Overview

Comprehensive mindmaps covering key concepts in the Crime and Punishment topic for WJEC Criminology Unit 4. This resource includes detailed insights into the Criminal Justice System, crime prevention strategies, sentencing models, and the roles of various agencies. Ideal for A-Level revision, ensuring you grasp essential theories and legislative processes to excel in your exams.

1253,7321,048
English LiteratureEnglish Literature

An Inspector Calls: Character Insights

Explore in-depth analysis and key quotes for characters in J.B. Priestley's 'An Inspector Calls'. This resource covers Gerald Croft, Inspector Goole, Sheila Birling, Mrs. Birling, Eric Birling, and Eva Smith, focusing on themes of class, gender roles, and social responsibility. Ideal for students aiming for Grade 8 and above.

1025,133899
CriminologyCriminology

WJEC Unit 4 Criminology

Criminology unit 4 detailed revision note

126,887123
CriminologyCriminology

Criminology Theories Overview

Explore key criminology theories and their implications on crime and deviance. This comprehensive summary covers biological, psychological, and sociological perspectives, including labelling theory, right realism, and the impact of social campaigns on policy development. Ideal for A-Level criminology students seeking to understand the complexities of criminal behaviour and the factors influencing crime prevention strategies.

129,741211
English LiteratureEnglish Literature

Romeo and Juliet: Key themes

Key Romeo and Juliet themes and analysed quotes

106,573194
English LiteratureEnglish Literature

Macbeth: Guilt and Ambition

Explore the complex themes of guilt and ambition in Shakespeare's 'Macbeth'. This analysis covers key characters, including Macbeth and Lady Macbeth, their moral dilemmas, and the tragic consequences of their ambition. Ideal for students studying character motivations, thematic elements, and the psychological impact of power. Includes insights on the natural order, manipulation, and the descent into madness.

918,711389
C
BiologyBiology

Cell Biology and Cell structure

cell structures

92,4940

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.6/5App Store
4.7/5Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan SiOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user