## About the course

This Cambridge Mathematics IGCSE Core Algebra course provides students with an in-depth understanding of the basic algebra syllabus.

Designed to make learning enjoyable, simple and successful, all you need to complete this course is a passion for learning, a computer with internet connection, a calculator, notepad and pen.

By the time you have completed this Cambridge Mathematics IGCSE Core Algebra course, you will have a great understanding of algebra which can be used in further education, as well as day-to-day life.

## What to expect

This course is designed to introduce students to all relevant aspects of algebra in a simple and methodical way.

Giving a detailed understanding of each topic, you can work through sections at your own speed. Enter your answers to have them marked in real-time, allowing you to make corrections and perfect your knowledge as you go.

The progress bar highlights your course completion, allowing you to keep track of where you are in the course, helping to stay motivated while you learn.

## Benefits

- Includes everything you need to know about algebra
- Learn wherever and whenever works best for you
- Straightforward and user-friendly
- Cost-effective course
- View your course completion percentage as you work
- Reach a maximum grade of Cambridge Mathematics

#### Course Materials

#### Using Rules

- Topic - Using Rules: Subtraction
- Topic - Using Rules: Addition
- Topic - Using Rules: Multiplication
- Topic - Using Rules: Division
- Topic - Using Rules: Multiply and Add
- Topic - Using Rules: Multiply and Subtract
- Topic - Using Rules: Add and Multiply
- Topic - Using Rules: Multiply Itself
- Topic - Using Rules: Missing Numbers involving Multiply and Add
- Topic - Using Rules: Missing Numbers involving Multiply and Subtract
- Topic - Using Rules: Missing Numbers involving Subtract and Divide

#### Writing and Finding Formulas

- Topic - Rewriting Formula Leaving Out Multiplication Signs
- Topic - Writing Formulas: Addition
- Topic - Writing Formulas: Subtraction
- Topic - Writing Formulas: Mixed Addition
- Topic - Writing Formulas: Mixed Subtraction
- Topic - Writing Formulas: Positive Coefficients and Addition
- Topic - Writing Formulas: Positive Coefficients and Subtraction
- Topic - Writing Formulas: Negative Coefficients and Addition
- Topic - Writing Formulas: Negative Coefficients and Subtraction
- Topic - Writing Formulas: Positive Coefficients
- Topic - Writing Formulas: Negative Coefficients

#### Substitution

- Topic - Substitution to y = x + a Form
- Topic - Substitution to y = a - x Form
- Topic - Substitution to y = ax + b Form
- Topic - Substitution to y = a (x + b) Form
- Topic - Substitution to y = -a (x + b) Form
- Topic - Substitution to y = a (x + b) + c Form
- Topic - Substitution to y = a (b - x) + c Form
- Topic - Substitution to ax + by Form
- Topic - Substitution to Square Expressions

#### Expanding Single Brackets

- Video - Expanding Expressions (6:15)
- Video - Expanding Single Brackets (4:27)
- Video - Expansion of Single Brackets (4:58)
- Video - Expansion of Single Brackets and Simplify (2:58)
- Video - Expansion of two Single Brackets and Simplify (4:10)
- Topic - Expand & Simplify: Coefficients Times Linear Binomial Terms
- Topic - Expand & Simplify: Variables Times Linear Binomial Terms
- Topic - Expand & Simplify: Coefficient Times Trinomials
- Topic - Expand & Simplify: Variables Times Trinomials
- Topic - Expand & Simplify: Quadratic Times Linear Binomial Terms
- Topic - Expand & Simplify: Multiple Single Brackets
- Topic - Expand & Simplify: Multiple Single Brackets with Variables
- Topic - Expand and Simplify Linear Expressions

#### Expanding Pairs of Brackets

- Video - Expanding and Simplifying Expressions (9:40)
- Video - Expanding Formula of Binomial Algebraic Expressions (6:05)
- Video - Expanding Pair of Brackets (4:19)
- Video - Expanding Pair of Brackets and Additional Terms (9:52)
- Video - Expanding with Trinomials (4:28)
- Video - 2 by 3 Expansions (4:48)
- Video - The Product of Two Linear Expressions (2:58)
- Video - Expanding Pairs of Brackets (7:27)
- Topic - Linear Times Linear
- Topic - Linear Times Linear with Coefficients
- Topic - Non-Monic Linear Times Non-Monic Linear
- Topic - Non-Monic Linear Times Non-Monic Linear with Coefficients
- Topic - Square of Linear Expressions
- Topic - Square of Linear Expressions with Coefficients
- Topic - Linear Times Quadratics
- Topic - Linear Times Trinomials
- Topic - Expand and Simplify Binomial Expressions
- Topic - Expand and Simplify Cubic Expressions
- Topic - Expand and Simplify Trinomial Expressions

#### Expanding Difference of Squares

- Video - Expanding Difference of Squares (7:02)
- Video - Expanding Difference of Two Squares (4:51)
- Topic - Expand Difference of Squares: Variables & Constants
- Topic - Expand Difference of Squares: Mixed Variables & Constants
- Topic - Expand Difference of Squares: Constants & Variables
- Topic - Expand Difference of Squares: Non-Monic Variables
- Topic - Expand Difference of Squares: Multiplier
- Topic - Expand Difference of Squares: Multiplier to Non-Monic Variables
- Topic - Expand and Simplify the Difference of Squares

#### Perfect Square Expansions

- Video - Basic Square Expansions (5:19)
- Video - Further Square Expansions (6:37)
- Video - Expanding with Squares (7:40)
- Video - Expanding with Completed Squares (9:46)
- Video - Expanding Perfect Squares (6:56)
- Video - Basic Rules of Completing the Square (7:19)
- Video - Completing the Square of Quadratic Expressions (3:52)
- Topic - Expand Squares of Additions of Monic Expressions
- Topic - Expand Squares of Subtractions of Monic Expressions
- Topic - Expand Squares of Additions of Non-Monic Expressions
- Topic - Expand Squares of Subtractions of Non-Monic Expressions
- Topic - Expand Squares of Additions of Non-Monic Expressions with Coefficients
- Topic - Expand Squares of Subtractions of Non-Monic Expressions with Coefficients
- Topic - Expand & Simplify Squares

#### Algebraic Substitution

- Video - Basic Substitution (11:17)
- Video - Algebraic Substitution (4:20)
- Video - Algebraic Substitution involving Indices (4:20)
- Video - Substitutions into Surds (4:24)
- Topic - Substitution to Additions & Subtractions
- Topic - Substitution to Additions & Subtractions involving Multiplications
- Topic - Substitution to Additions & Subtractions involving Divisions
- Topic - Substitution to Additions & Subtractions involving Squares
- Topic - Substitution to Additions & Subtractions involving Squares & Brackets
- Topic - Substitution to Additions & Subtractions involving Squares & Binomial Terms
- Topic - Substitution to Additions & Subtractions involving Cubes
- Topic - Substitution to Mixed Expressions
- Topic - Substitution to Square Roots

#### Formula Substitution

- Video - Substitution into a Basic Formula (5:00)
- Video - Substitution into Exponents Involving Formulae (2:20)
- Video - Substitution into Rational Formulae (3:20)
- Video - Substitution into Irrational Formulae (2:55)
- Video - Equations Arising from Substitution 1 (4:19)
- Video - Equations Arising from Substitution 2 (3:39)
- Video - Evaluating Formula using Substitutions (4:49)
- Topic - Formula Substitution of Linear Expressions
- Topic - Formula Substitution of Approximation Values
- Topic - Formula Substitution of Quadratic Expressions
- Topic - Evaluating Values using Formula Substitution of Linear Expressions
- Topic - Evaluating Values using Formula Substitution of Approximation Values
- Topic - Evaluating Values using Formula Substitution of Quadratic Expressions

#### Formula Rearrangement

- Video - Changing the Subject of a Formula (5:49)
- Video - Changing the Subject on Both Sides (4:28)
- Video - Changing the Subject involving Square Roots (2:53)
- Video - Changing the Subject Involving Squares (2:04)
- Video - Changing the Subject on Denominators (4:45)
- Video - Changing the Subject on Both Numerators & Denominators (6:02)
- Video - Rearrangement (6:55)
- Topic - Rearranging Linear Formulas Subject to x
- Topic - Rearranging Linear Formulas Subject to y
- Topic - Rearranging Formulas involving Squares Subject to x
- Topic - Rearranging Formulas involving Squares Subject to y
- Topic - Rearranging Formulas involving Square Roots
- Topic - Rearranging Formulas involving Multiple Variables

#### Factorising using Common Factors

- Video - Factorising Expressions (10:07)
- Video - Factorising & Negative Terms (3:41)
- Video - Factorise by Common Factors (5:26)
- Video - Factorise by Common Factors involving Brackets (5:15)
- Video - Solving Quadratics by Common Factors (4:59)
- Video - Understanding Factorise by Common Factors for Various Cases (3:07)
- Video - Factorise by Common Factors for Various Cases (9:35)
- Topic - Factorise using Common Factors
- Topic - Factorise using Common Factors and Indices
- Topic - Factorise Common Factors in Brackets
- Topic - Factorise Common Factors in Brackets and Indices

#### Multiplication using Exponents

- Video - Index Law of Addition (6:17)
- Video - Index Equations using Index Law of Addition (3:17)
- Video - Evaluation using Index Law of Addition (5:12)
- Video - Simplification using Index Law of Addition (3:32)
- Video - Addition Law of Exponents (4:12)
- Video - Multiplication using Indices (3:32)
- Topic - Equations by Adding Indices
- Topic - Simplifying by Adding Indices
- Topic - Evaluation by Adding Indices

#### Division using Exponents

- Video - Simplification of Exponent in Fractions (2:24)
- Video - Index Law of Subtraction (5:51)
- Video - Simplification using Index Law of Subtraction (1:54)
- Video - Mixed Simplification using Index Law of Subtraction (4:58)
- Video - Evaluation using Index Law of Subtraction (4:14)
- Video - Subtraction Law of Exponents (3:26)
- Video - Division using Indices (5:20)
- Topic - Simplifying by Subtracting Indices
- Topic - Simplifying by Adding and Subtracting Indices
- Topic - Evaluation by Subtracting Indices

#### Raising a Power to Another Power

- Video - Index Law of Powers (4:35)
- Video - Simplification using Index Law of Powers (6:53)
- Video - Evaluation using Index Law of Powers (6:37)
- Video - Index Law of Raising a Power to Another Power (4:19)
- Video - Raising a Power to Another Base (5:27)
- Video - Raising a Power to Another Indices (5:56)
- Topic - Equations involving Power of Power
- Topic - Simplifying by Power of Power

#### Basic Linear Equations

- Video - One Step Equations (3:26)
- Check - One Step Equations
- Video - Two Step Equations (2:58)
- Video - Equations with Variables on Both Sides (2:47)
- Video - Basic Linear Equations 1 (2:52)
- Video - Basic Linear Equations 2 (3:46)
- Video - Basic Linear Equations 3 (2:46)
- Video - Linear Equations (4:25)
- Topic - Linear Equations involving Subtractions
- Topic - Linear Equations involving Additions
- Topic - Linear Equations involving Multiplications
- Topic - Linear Equations involving Divisions
- Topic - Linear Equations involving Multiplications & Divisions
- Topic - Non-Monic Linear Equations
- Topic - Linear Equations involving Brackets

#### Linear Equations Involving Expansions

- Video - Equations with Brackets (3:21)
- Video - Equations with Pronumerals on Both Sides 1 (3:19)
- Video - Equations with Pronumerals on Both Sides 2 (4:29)
- Video - Equations with Grouping Symbols 1 (5:51)
- Video - Equations with Grouping Symbols 2 (4:37)
- Topic - Linear Equations involving Single Brackets
- Topic - Linear Equations involving Single Non-Monic Brackets
- Topic - Linear Equations involving Single Brackets & Extra Variables
- Topic - Linear Equations involving Multiple Brackets
- Topic - Linear Equations involving Multiple Non-Monic Brackets
- Topic - Linear Equations involving Squares

#### Linear Equations Involving Fractions

- Video - Solving Equations involving Fractions (4:47)
- Video - Equations with One Fraction 1 (5:18)
- Video - Equations with One Fraction 2 (5:01)
- Video - Equations with Multiple Fractions 1 (6:31)
- Video - Equations with Multiple Fractions 2 (6:59)
- Video - Equations With Single Pronumerals In The Denominator (2:28)
- Video - Equations With Multiple Pronumerals In The Denominator (7:40)
- Video - Equations With Compound Pronumerals In The Denominator (3:01)
- Video - Equations With Compound Pronumerals In Both Denominators and Numerators (2:39)
- Video - Linear Equations with Fractions 1 (5:45)
- Video - Linear Equations with Fractions 2 (4:01)
- Video - Linear Equations with Fractions: Variables in Denominators (3:37)
- Video - Linear Equations with Fractions: Variables in Numerators & Denominators (2:20)
- Video - Linear Inequalities involving Fractions (4:35)
- Topic - Linear Equations involving Single Fractions
- Topic - Linear Equations involving Single Non-Monic Fractions
- Topic - Linear Equations involving Two Fractions
- Topic - Linear Equations involving Variables in Both Numerators & Denominators

#### Problem Solving with Linear Equations

- Video - Applications of Equations (6:36)
- Video - Equations and Formulae (5:10)
- Video - Equations and Geometry (3:35)
- Video - Problem Solving with Linear Equations: Numbers (8:44)
- Video - Problem Solving with Linear Equations: Ages (3:17)
- Video - Problem Solving with Linear Equations: Coins (2:47)
- Topic - Problem Solving involving Averages
- Topic - Problem Solving involving Arithmetic
- Topic - Problem Solving involving Sum
- Topic - Problem Solving involving Costs
- Topic - Problem Solving involving Geometry
- Topic - Problem Solving involving Age
- Topic - Problem Solving involving Speed

#### Linear Simultaneous Equations - Elimination Method

- Video - Elimination Method for Simultaneous Equations (3:32)
- Video - Elimination Method for Simultaneous Equations by Subtraction (4:29)
- Video - Elimination Method for Simultaneous Equations by Addition (3:25)
- Video - Elimination Method by Manipulating One Pronumeral (6:40)
- Video - Elimination Method by Manipulating Two Pronumerals 1 (3:31)
- Video - Elimination Method by Manipulating Two Pronumerals 2 (1:49)
- Video - Elimination Method by Manipulating Two Pronumerals 3 (2:15)
- Video - Simultaneous Equations by Elimination Method (7:42)
- Video - Simultaneous Equations: Elimination Method (5:53)
- Topic - Elimination Method by Subtracting Equations
- Topic - Elimination Method by Adding Equations
- Topic - Elimination Method by Considering One Coefficient
- Topic - Elimination Method by Considering Two Coefficients

#### Linear Simultaneous Equations - Substitution Method

- Video - Equation Method for Simultaneous Equations (2:16)
- Video - Basic Substitution Method for Simultaneous Equations (6:43)
- Video - Substitution Method for Simultaneous Equations (7:48)
- Video - Simultaneous Equations by Substitution Method (5:26)
- Video - Simultaneous Equations: Substitution Method (3:00)
- Topic - Basic Substitution Method
- Topic - Substitution Method by Non-Monic Equations
- Topic - Substitution Method by Equating Equations
- Topic - Substitution Method by Rearranging Equations
- Topic - Substitution Method by Rearranging Non-Monic Equations

#### Numerical Application of Linear Simultaneous Equations

- Video - Number Applications of Simultaneous Equations 1 (2:58)
- Video - Number Applications of Simultaneous Equations 2 (2:54)
- Video - Number Applications of Simultaneous Equations 3 (2:11)
- Video - Number Applications of Simultaneous Equations 4 (1:42)
- Video - Digit Applications of Simultaneous Equations (8:33)
- Video - Coin Value Applications of Simultaneous Equations 1 (3:12)
- Video - Coin Value Applications of Simultaneous Equations 2 (2:52)
- Video - Age Applications of Simultaneous Equations 1 (2:04)
- Video - Age Applications of Simultaneous Equations 2 (3:51)
- Video - Geometry Applications of Simultaneous Equations 1 (3:14)
- Video - Geometry Applications of Simultaneous Equations 2 (3:13)
- Video - Cost Applications of Simultaneous Equations 1 (2:59)
- Video - Cost Applications of Simultaneous Equations 2 (2:01)
- Video - Measurement Applications of Simultaneous Equations (2:23)
- Video - Review Problem Solving of Simultaneous Equations (6:09)

#### Number Sequences

- Video - Number Sequences (2:23)
- Video - Describing Number Sequences (4:06)
- Topic - Descriptions of Number Sequences
- Topic - Writing Terms from Patterns
- Topic - Pattern of Number Sequences by Adding or Subtracting
- Topic - Pattern of Number Sequences by Multiplying or Dividing
- Topic - Pattern of Number Sequences involving Indices

#### X-intercept Y-intercept

- Video - Graphs of Parabola x-intercepts and y-intercepts (5:58)
- Video - Graphs of Parabola using Quadratic Formula (4:30)
- Video - Sketching Parabola (3:29)
- Video - Graphs of Parabola Concave Downwards with No x-intercepts (6:27)
- Video - Transformation of Parabola Up Down (6:59)
- Video - Quadratic Graphs: Axes Intercepts (11:25)

#### Quadratic Graphs by Completing the Square

- Video - Finding Vertex using Completing Square (3:12)
- Video - Sketching Parabola in Left Side by Completing Square (6:13)
- Video - Sketching Parabola in Right Side by Completing Square (2:28)
- Video - Sketching Parabola Concave Down by Completing Square (3:39)
- Video - Sketching Non-Monic Parabola Concave Up by Completing Square (3:15)
- Video - Sketching Non-Monic Parabola Concave Down by Completing Square (2:26)
- Video - Graphs of Parabola Concave Upwards with No x-intercepts (5:16)
- Video - Translating Graphs of Quadratic Functions (2:15)

#### Displacement-Time Graphs

- Video - Time-Distance Graphs: Return Trip (9:06)
- Video - Time-Distance Graphs: One Way Trip (4:06)
- Video - Description of Behaviours by Time-Distance Graphs (2:32)
- Video - Displacement-time Graphs (8:46)
- Video - Displacement-Velocity Graphs: Lines (7:12)
- Video - Displacement-Velocity Graphs: Curves (6:09)

#### Velocity-Time Graphs

- Video - Kinematics: Parabolic Velocity Graphs (3:48)
- Video - Velocity-Time Graphs: Straight Lines 1 (5:15)
- Check - Velocity-Time Graphs: Straight Lines 1
- Video - Velocity-Time Graphs: Straight Lines 2 (4:19)
- Video - Velocity-Time Graphs: Straight Lines 3 (7:20)
- Video - Velocity-Time Graphs: Piecewise Graphs 1 (4:24)
- Video - Velocity-Time Graphs: Piecewise Graphs 2 (4:34)
- Video - Velocity-Time Graphs: Piecewise Graphs 3 (6:19)
- Video - Velocity-Time Graphs: Curves (7:18)