Prior Content: Substitution, Basic Operations +-x/, Expanding Brackets
Possible Next Steps: Forming Equations, Simultaneous Equations, Solving Quadratics, Manipulating Formulae/ Changing the Subject, Algebraic Fractions, Linear Inequalities, Sequences, Linear Graphs & Gradients, Completing the Square, Functions, Basic Trigonometry, Advanced Trigonometry, Pythagoras
Contents
- 1.1 One-Step Equations
- 1.2 One-Step Equations with Powers & Roots
- 2.1 Two-Step Equations
- 3.1 Multiple-Step Equations
- 4.1 Unknown on Both Sides
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 One-Step Equations
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Solving Equations
Online Platforms (with Videos & Exercises)
- Khan Academy
- One-step equations (adding & subtracting): Videos & practice
- One-step equations (multiplying & dividing): Videos & practice
Activities & Resources
- Maths 4 Everyone
- Pixi Maths
- Solving Linear Equations ppt (Slides 1-21)
- Math = Love (Sarah Carter)
- EDC
- Transum
- Go Teach Maths
- Mr Thompson Maths
- MathsPad
- Ticktock Maths
- Solving One-Step Equations lesson (slides)
- NCETM
Worksheets
- Dr Austin Maths
- Corbettmaths
- Solving Equations Practice Questions (Q1-6) & Solutions
- Solving Equations Worksheet (Q1 Only) & Solutions
- Maths 4 Everyone
- Self Marking Sheets by Phil Rhodes
- Equations – working backwards 1 step at a time Excel File
- Equations – Rules & robots Excel File
- Equations 1 step Excel File
- Maths Genie
- Solving One Step Equations: Booklet · Worksheet · Solutions · Lesson · Topic page
- Kuta Software
- 1st Class Maths
- Pret Homework (@hjcurry7019)
- Equations with Bar Modelling (@hjcurry7019, docx)
Dr Frost Resources
Dr Frost Video
K145: Solve a One-Step Equation.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
1.2 One-Step Equations with Powers & Roots
Teaching Videos, Exercises & Activities
Tutorial Videos
Math 8 Lesson 7: Solving Square and Cube Root Equations (Simplifying Math) by Buffington
Solving Algebraic Equations With Roots and Exponents by Professor Dave Explains
Corbettmaths x Squared Equations
Online Platforms (with Videos & Exercises)
- Khan Academy
- Square & cube roots: Videos & practice
Activities & Resources
- Math = Love (Sarah Carter)
- Ben Sparks (GeoGebra)
- Square Root: One or Two Answers?: GeoGebra
Worksheets
- Corbettmaths
- x Squared Equations Practice Questions & Solutions
- Maths 4 Everyone
- Dr Austin Maths
Dr Frost Resources
Dr Frost Slides & Activities
- Dr Frost Slides (4)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 200a: Solve a one-step equation involving a variable squared.
- 200b: Solve a one-step equation involving a variable cubed.
- 200c: Solve a one-step equation involving a power of a variable where the power is 4 or above.
- 200d: Solve a one-step equation involving a square root of a variable.
- 200e: Solve a one-step equation involving a cube root of a variable.
- 200f: Solve a one-step equation involving the nth root of a variable, where n>3
- 200: Exam Practice: Solving equations involving integer powers and their roots as inverses
Extension Materials
2.1 Two-Step Equations
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Solving Equations (From 4:07)
Activities & Resources
- Pixi Maths
- Solving Linear Equations ppt (Slides 22-33)
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- Goal Free Problems
- Go Teach Maths
- thewessens.net Classroom Apps
- Solving Equations with Algebra Tiles (model and solve equations with tiles)
- Ticktock Maths
- Solving two step equations lesson (slides)
- Standards Unit (DfES)
- Standards Unit A2: Creating and Solving Equations (Standards Unit, DfES; PDF
Worksheets
- Dr Austin Maths
- Corbettmaths
- Solving Equations Practice Questions (Q7-15) & Solutions
- Solving Equations Worksheet (Q2, 3, 5 & Applied Section) & Solutions
- Maths 4 Everyone
- Two Step Equations First Steps
- Two Step Equations Strengthen 1 · 2
- Two Step Equations Extend 1 · 2
- Self Marking Sheets by Phil Rhodes
- Equations with Fractions 1 step & 2 step Excel File
- Equations – 2 step Excel File
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Kuta Software
- Access Maths
- Solving Equations: GSM Worksheet (Level 5-6) | GSM Sheet with Answers (Level 6-7) | Fluency & Reasoning Sheet
- 1st Class Maths
- Mr Morley Maths
- Solving Linear Equations: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (@Maths_BASFC)
- Solving Two-Step Equations (@Maths_BASFC, pdf)
Dr Frost resources
Dr Frost Video
K146: Solve a Two-Step Equation Where the Solution is a Positive Integer.
K147: Solve a General Two-Step Equation.
K370: Solve a Two-Step Equation With Possible Negative Coefficient of the Unknown.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 199c: Solve a two-step equation of the form ax+b=c where the solution is a positive integer.
- 199d: Solve a two-step equation of the form a+bx=c or a=bx+c or a=b+cx where the solution is a positive integer.
- 199e: Solve a two-step equation of the form x/a+b=c or 1/ax+b=c where the solution is a positive integer.
- 199f: Solve a two-step equation of the form ax+b=c where the solution is a negative integer.
- 199g: Solve a two-step equation of the form x/a+b=c or 1/ax+b=c where the solution is a negative integer.
- 199h: Solve a two-step equation of the form ax+b=c where the solution is a terminating decimal or a fraction.
- 199i: Solve a linear equation requiring simplification to the form ax+b=c
- 199j: Solve a linear equation the form a-x=b
- 199k: Solve a linear equation the form a-bx=c
- 199l: Solve a linear equation the form a-1/bx=c or a-x/b=c
- 200g: Solve a two-step equation involving a power of a variable.
- 200h: Solve a two-step equation involving the nth root of a variable.
- 258a: Solve equations of the form ax/b=c
- 258b: Solve equations of the form x+a/b=c
- 258c: Solve equations of the form ax/b+c=d or ax+b/c=d
- 199: Exam Practice: Solving linear equations where the variable appears on one side of the equation only
- 200: Exam Practice: Solving equations involving integer powers and their roots as inverses
- 258: Exam Practice: Solving linear equations involving fractions
Further Practice
- Practise Questions (may include angles in a triangle and on a straight line)
EXTENSION MATERIALS
Online Platforms
- Khan Academy
- Two-step equations: Videos & practice
3.1 Multiple-Step Equations
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
solving linear equation brackets – GCSE Maths by JEDMATHS
Solving equations with an unknown on both sides by Maths Genie
Solving Multi-Step Equations | Math with Mr. J by Math with Mr. J
Online Platforms (with Videos & Exercises)
- Khan Academy
- Equations with brackets: Videos & practice
Activities
- Pixi Maths
- Andy Lutwyche
- Clumsy Clive
- Defuse The Bomb
- Spot The Mistakes – Expressions
- Codebreaker
- Codebreaker 4
- Baking Bad – Season 3
- Spiders
- Exploding
- Crack The Safe – Linear
- Codebreakers
- Non-Integer Solutions Codebreaker
- Advent Calendar – Linear
- Wildlife Anagrams
- Linear with Tony the Tiger
- Maze Worksheet and answers.
- Sports
- What’s In My Stocking? Task
- Math = Love (Sarah Carter)
- Goal Free Problems
- Go Teach Maths
- Solving 3-Step Linear Equations: Calculator
- Solving Linear Equations: Calculator
- Solving 3-Step Linear Equations: Non-Calculator
- Solving Linear Equations: Non-Calculator
- Solving Linear Equations With Brackets: Without Coefficients
- Solving Linear Equations With Brackets: With Coefficients
- Solving Linear Equations With Multiple Brackets
- FortyNineCubed
- #TypedUp
- Equations involving brackets✦ (typed up by Justin Thompson)
- Ticktock Maths
Worksheets
- Dr Austin Maths
- Three- Practice Strips (Word | PDF | Answers)
- One, Two and Three- Crack the Code (Word | PDF | Answers)
- One, Two and Three- Crack the Code (Word | PDF | Answers)
- Multi- with Negatives and Decimals Practice Grid (Word | PDF | Answers)
- Brackets Name the Film (Word | PDF | Answers)
- Linear Crack the Code (Word | PDF | Answers)
- Linear Sort It Out (Word | PDF | Answers)
- Corbettmaths
- Solving Equations Practice Questions (Q16, 17 & 23) & Solutions
- Solving Equations Worksheet (Q4) & Solutions
- Maths 4 Everyone
- Pixi Maths
- CIMT MEP (online self-checking)
- Kuta Software
- Mr Thompson Maths
- Pret Homework (@MathedUp)
- Linear Equations (@MathedUp, pptx)
Dr Frost resources
Dr Frost Video
K152: Solve a Linear Equation With Brackets.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 254a: Solve a linear equation with brackets and positive integer only solutions.
- 254b: Solve a linear equation with brackets and positive fractional solutions.
- 254c: Solve an equation with brackets where the solution is negative.
- 254d: Solve an equation with brackets and requiring simplification, with the variable on one side.
- 254e: Solve an equation with brackets and a possible negative coefficient of the unknown.
- 254f: Solve an equation involving brackets and powers or roots.
- 200i: Solve a multi-step equation involving powers and roots of a variable.
- 200j: Solve a multi-step equation involving nested roots.
- 395g: Solve equations requiring rearrangement, leading to xa=b where a is a fraction.
- 254: Exam Practice: Solving linear equations where the variable appears on one side of the equation only, including brackets
- 200: Exam Practice: Solving equations involving integer powers and their roots as inverses
- 395: Exam Practice: Solving equations involving negative and fractional powers and surds
Further Practice
- Practise Questions
EXTENSION MATERIALS
Worksheets
- Splodge Worksheet (Source unknown)
4.1 Unknown on Both Sides
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Solving Equations with Letters on Both Sides
Online Platforms (with Videos & Exercises)
- Khan Academy
- Equations with unknowns on both sides: Videos & practice
Activities
- Pixi Maths
- Solving Linear Equations ppt (Slides 34 Onwards)
- Math = Love (Sarah Carter)
- Don Steward
- Five Lines
- Worms, Beetles and Loops✦
- Radiating Equations
- Equations with the As-Yet-Unknown
- Squares Inside Rectangles (2) Equations
- So, Linear Equations
- Equations with Tables Practice
- How Many Mints in Each Tube?
- Pencils, Jars and Tiddlywinks
- Unjumbling
- Mind the Gap
- Linear Equations Unknown Both Sides Questions
- The Chalkface
- Algebra Scales: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Goal Free Problems
- Go Teach Maths
- Colin Foster
- Mr Thompson Maths
- Ticktock Maths
- NCETM
- Standards Unit (DfES)
- Standards Unit A3: Creating and Solving Harder Equations (Standards Unit, DfES; PDF
Worksheets
- Dr Austin Maths
- Corbettmaths
- Solving Equations Practice Questions (Q18-22) & Solutions
- Equations: Letters on Both Sides Worksheet & Solutions
- Maths 4 Everyone
- Pixi Maths
- Startingpointsmaths.com Solving Equations Backwards Fading
- CIMT MEP (online self-checking)
- Access Maths
- Unknown on Both Sides: GSB Worksheet | Fluency & Reasoning Sheet
- MadAsMaths (T. Madas)
- Equations Basic Techniques Linear Equations Q1–4
- martahidegkuti
- Mr Morley Maths
- Solving Linear Equations – Unknowns on Both Sides: Notes jotter/worksheet · Exam questions · Mark scheme
Dr Frost resources
Dr Frost Video
K367: Solve a Linear Equation With the Unknown on Both Sides.
K368: Solve a Linear Equation With Unknowns and Brackets on Both Sides.
K369: Solve a Linear Equation With Unknowns and Brackets on Both Sides Requiring Simplification.
K371: Solve an Equation With One Fraction Equals to a Linear Expression.
K373: Solve an Equation With One Fraction Equal to Another Fraction.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 257a: Solve a linear equation with unknown on both sides.
- 257b: Solve a linear equation with unknowns on both sides where the leading term is a constant.
- 257c: Solve a linear equation with unknowns on both sides and brackets on one side.
- 257d: Solve a linear equation with unknowns and brackets on both sides.
- 257e: Solve a linear equation with unknowns on both sides and brackets requiring simplification.
- 257f: Solve a linear equation with two sets of brackets on one side requiring simplification.
- 258i: Solve equations of the form ax/b=cx+d
- 258j: Solve equations of the form ax/b+c=dx+e
- 258k: Solve equations of the form ax+b/c=dx+e
- 257: Exam Practice: Solving linear equations where the variable appears on both sides of the equation
- 258: Exam Practice: Solving linear equations involving fractions
Further Practice
- Practise Questions
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Solving Simple Equations PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Solving Equations (Linear) as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- Maths 4 Everyone
- Andy Lutwyche
- Mathshelper (Jon Stone)
- MathedUp
- Solving Equations: Worksheet · Practice · Quiz · Question Gallery
- Maths Genie
- Solving Equations: Booklet · Worksheet · Solutions · Lesson · Topic page
- Physics & Maths Tutor
- MME
- Dr Frost
- @taylorda01
Activities
- Math = Love (Sarah Carter)
- Intervention Tasks
- NRICH (student problems)
- Don Steward
- The Chalkface
- Linear Equations Generator: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- PhET Interactive Simulations
- PhET Equality Explorer Interactive Simulation (embedded below)
- Transum
- Interactive Maths
- Solving Linear Equations: QQI | 10QQI | Count Down | Relay | Bingo
- Solving Linear Equations: Worksheets
- Go Teach Maths
- thewessens.net Classroom Apps
- Equation Solver (solve generated linear equations step by step, keeping both sides balanced)
- MathsPad
- Mathematics Assessment Project
- Dr Austin Maths
- Jess (@FortyNineCubed)
- Duncan Grantham
- Mr Thompson Maths
External
- NCETM
- NCETM Checkpoints: Solving linear equations (diagnostic tasks)
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.