## About the course

This Cambridge Mathematics Lower Secondary course on Algebra will give a holistic understanding of the subject. Outlining patterns, systems, functions and relationships, it will provide you with in-depth knowledge that can be applied to everyday life.

Designed to be user-friendly, all you need to do this course is a laptop or computer, a notepad, pen and calculator.

Lessons include:

- Algebraic Expressions
- Number Sequences
- Basic Equations
- Linear Equations
- Exponents
- Straight Lines
- Functions
- Quadratic Equations
- Simultaneous Equations

## What to expect

The Cambridge Mathematics Lower Secondary course on algebra is split into various sections, making it easy to learn at your own pace.

Make your way through every section of the curriculum, entering your answers as you go along. Answers will be automatically marked as correct or incorrect, enabling you to make corrections as you go and further your learning. As you complete each topic, it can be marked as complete, meaning you can keep track of your progress.

Keep an eye on your completion percentage in the progress bar, to know how far you are through this course, helping you to manage time as you go along.

## Benefits

- Covers all required areas of the algebra curriculum
- Requires minimal equipment
- Can be completed at your own pace
- Mark your own answers, make corrections and see your progress

#### 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

#### 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

#### 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

#### 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

#### Doing the Same to Both Sides

- Topic - Doing the Same to Both Sides
- Topic - Solving Monic Equations
- Topic - Solving Plus Plus Equations
- Topic - Solving Plus Minus Equations
- Topic - Solving Minus Plus Equations
- Topic - Solving Minus Minus Equations
- Topic - Solving Equations involving Brackets
- Topic - Solving Equations involving Like Terms

#### Solving Equations using Backtracking

- Topic - Solving Equations using Backtracking
- Topic - Solving Equations using Backtracking: Fractions 1
- Topic - Solving Equations using Backtracking: Fractions 2
- Topic - Solving Equations using Backtracking: Fractions 3
- Topic - Solving Equations using Backtracking: Fractions 4
- Topic - Solving Equations using Backtracking: Fractions 5
- Topic - Solving Equations using Backtracking: Fractions 6
- Topic - Solving Equations using Backtracking: Fractions 7
- Topic - Solving Equations using Backtracking: Fractions 8

#### Equations with the Pronumeral on Both Sides

- Topic - Monic Equations 1
- Topic - Monic Equations 2
- Topic - Positive Positive Equations 1
- Topic - Positive Positive Equations 2
- Topic - Positive Negative Equations 1
- Topic - Positive Negative Equations 2
- Topic - Negative Positive Equations 1
- Topic - Negative Positive Equations 2
- Topic - Negative Negative Equations 1
- Topic - Negative Negative Equations 2
- Topic - Monic Equations involving Brackets 1
- Topic - Monic Equations involving Brackets 2
- Topic - Non-Monic Equations involving Brackets 1
- Topic - Non-Monic Equations involving Brackets 2
- Topic - Equations involving Brackets in Both Sides 1
- Topic - Equations involving Brackets in Both Sides 2

#### 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

#### Linear Inequalities

- Video - Inequalities in Number Lines (5:22)
- Video - Writing Inequalities from Number Lines (2:29)
- Video - Understanding Linear Inequalities (5:10)
- Video - Simple Inequalities (2:04)
- Video - Linear Inequalities Pronumerals on Both Sides (2:48)
- Video - Reversing Inequality Sign (4:46)
- Video - Two Inequality Signs in Inequalities (5:20)
- Video - Linear Inequalities (4:36)

#### 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
- Topic - Evaluation by Power of Power

#### Negative Exponents

- Video - Writing in Negative Exponents (7:40)
- Video - Equations involving Negative Exponents (2:03)
- Video - Writing in Positive Exponents (2:28)
- Video - Expressing in Positive Exponents (4:08)
- Video - Fractions to Index Form in Positive Exponents (2:27)
- Video - Simplifying Positive Exponents (4:05)
- Video - Mixed Simplification involving Negative Exponents (2:26)
- Video - Evaluating Negative Exponents (3:39)
- Video - Quadratic Equations involving Negative Indices (1:05)
- Topic - Rational Fractions and Negative Indices
- Topic - Handling Negative Indices
- Topic - Expressing with Negative Indices

#### Gradient of Lines

- Video - Understanding Gradient Formula (3:56)
- Video - Finding Gradients of Straight Lines (2:56)
- Video - Applications of Gradients (6:38)
- Video - Gradient from Two Points (4:10)
- Video - Gradient from an Angle (4:03)
- Video - Finding the Positive Angle of x-axis (4:10)
- Video - Finding Gradients (4:55)
- Video - Gradient Undefined (1:21)
- Video - Gradient Zero (1:32)
- Video - Gradient from Rise and Run (4:48)

#### Intercepts

- Video - Straight Line Equations with Intercepts & Points (5:47)
- Video - Graphing Linear Equations using Intercepts (3:25)
- Video - Sketching Straight Lines using Intercepts (6:03)
- Topic - x-intercepts of Straight Lines in Standard Form
- Topic - y-intercepts of Straight Lines in Standard Form
- Topic - x-intercepts of Straight Lines in General Form
- Topic - y-intercepts of Straight Lines in General Form
- Topic - Gradients using x- and y-intercepts

#### Finding Equations of Lines

- Video - Introduction of Gradients & y-Intercepts (4:39)
- Video - Equation of Straight Lines involving Gradient & y-intercept (1:09)
- Video - Equations of Straight Lines using Gradients & Passing Points (7:57)
- Video - Point-Gradient Formula (3:09)
- Video - Linear Equations using Two Point Formula (2:55)
- Video - Two-Point Formula (6:17)
- Video - Equations of Straight Lines using Gradients & y-Intercepts (2:16)
- Video - Equation of Straight Lines involving Gradient & Origin (0:43)
- Video - Equation of Straight Lines involving Gradient & Points (1:57)
- Video - Intercept Form of Straight Lines (2:41)
- Video - Equations of Straight Lines using Gradients & Points (2:05)
- Video - Equations of Straight Lines using Gradients & Midpoints (1:30)

#### Finding a Linear Equation from a Graph

- Video - Finding Equation of Lines (4:49)
- Video - Finding Linear Equations from Straight Line Graphs Passing Origin (3:22)
- Video - Finding Linear Equations from Straight Line Graphs (3:14)
- Video - Finding Linear Equations from Graphs (6:10)
- Video - Finding Linear Equations from Graphs Passing Origin (2:40)
- Video - Finding Linear Equations from Horizontal & Vertical Lines (1:31)
- Video - Equations of Straight Lines using Two Points (4:20)

#### Sketching Linear Graphs

- Video - Graphing Linear Equations using Gradients 1 (3:24)
- Video - Graphing Linear Equations using Gradients 2 (3:36)
- Video - Sketching Straight Lines using Gradients (4:26)
- Video - Straight Line Graphs in Positive Gradient Passing Origin (4:02)
- Video - Straight Line Graphs in Negative Gradient Passing Origin (3:02)
- Video - Straight Line Graphs in General Form Passing Origin (3:14)
- Video - Straight line Graphs in Positive Gradient by x- and y-intercepts (4:07)
- Video - Straight line Graphs in Negative Gradient by x- and y-intercepts (2:47)
- Video - Straight line Graphs in General Form by x- and y-intercepts (1:58)