Equations

Introduction

Dr Frost Maths (includes slides and worksheets)

• Solving Equations

  • linear

    1. Yr7-Equations

       1. ex 1 - 2-step equations

       2. ex 2 - equations with brackets, x on both sides

       3. ex 3 - forming and solving equations (perimeter, shapes)

       4. ex 4 - forming and solving equations (other context)

    2. Yr8-EquationsWithFractions

       1. ex1 - harder equations with brackets, x on both sides

       2. ex2 - equations with fractions

  • yr8 algebra recap

    1. ex 1 - collecting like terms, multiplying and dividing expressions, equations with brackets, x on both sides

    2. ex 2 - forming and solving equations

  • quadratics

    1. GCSE-SolvingQuadraticsByFactorising

       1. ex1 - solve (x+7)(x−9)=0

       2. ex2 - solve x^2 + 7x + 12 = 0

       3. ex3 - solve x = 17 − 30/x

       4. ex4 - forming and solving quadratic equations

• eQuation Generator: An unlimited supply of linear equations just waiting to be solved. 

Practice

Transum

Linear:

• Stable Scales: Ten balance puzzles to prepare you for solving equations.

• Equations: A series of exercises, in increasing order of difficulty, requiring you to solve linear equations. The exercises are self marking.

• Nevertheless: Players decide where to place the cards to make an equation with the largest possible solution.

• Old Equations: Solve these linear equations that appeared in a book called A Graduated Series of Exercises in Elementary Algebra by Rev George Farncomb Wright published in 1857.

• Solve To Find Fractions: Find the value of the unknown in each of these linear equations. All of the answers are fractions

• Equations with Fractions: Practise solving linear equations that contain fractions in this multi-level exercise.

Forming and solving equations:

• Missing Lengths: Find the unknown lengths in the given diagrams and learn some algebra at the same time.

• Algebra In Action: Real life problems adapted from an old Mathematics textbook which can be solved using algebra.

• Superfluous: Find a strategy to figure out the values of the letters used in these calculations.

Quadratics:

Quadratic Equations: Solve these quadratic equations algebraically in this seven-level, self-marking online exercise.

Corbett Maths (Answers)

Linear:

• Equations: solving    Video 110      Practice Questions    Textbook Exercise

• Equations: involving fractions    Video 111     Practice Questions    Textbook Exercise

• Equations: fractional advanced    Video 111a    Practice Questions     Textbook Exercise

• Equations: cross multiplication     Video 112     Practice Questions     Textbook Exercise

• Equations: letters both sides   Video 113     Practice Questions     Textbook Exercise

• Equations: angles and perimeter     Video 114      Practice Questions    Textbook Exercise

• Equations: forming     Video 115      Practice Questions    Textbook Exercise

• Equations: trial and improvement     Video 116      Practice Questions    Textbook Exercise

• Equations: x squared   Video 116a     Practice Questions

• Equations: Think of a number   Video 116b    Practice Questions

Quadratics:

• Quadratics: solving (factorising)  Video 266   Practice Questions    Textbook 1   Textbook 2

• Quadratics: formula     Video 267     Practice Questions      Textbook Exercise

• Quadratics: solving (completing the square)  Video 267a   Practice Questions   Textbook Exercise

• Quadratic formula proof:     Video 267b    Practice Questions    Textbook Exercise

• Quadratics: solving graphically  Video 267c   Practice Questions   Textbook Exercise

• Quadratics: solving graphically advanced  Video 267d   Practice Questions

Dr Austin Maths

Linear:

• Solving One-Step Equations Practice Strips (Editable Word | PDF | Answers)

• Solving One-Step Equations Odd One Out (Editable Word | PDF | Answers)

• Solving Two-Step Equations Practice Strips (Editable Word | PDF | Answers)

• Solving One and Two Step Equations Practice Strips (Editable Word | PDF | Answers)

• Solving Three-Step Equations Practice Strips (Editable Word | PDF | Answers)

• Solving One, Two and Three-Step Equations Crack the Code (Editable Word | PDF | Answers)

• Solving Equations with Unknowns on Both Sides Practice Strips (Editable Word | PDF | Answers)

• More Solving Equations with Unknowns on Both Sides Practice Strips (Editable Word | PDF | Answers)

• Solving Equations with Brackets Practice Strips (Editable Word | PDF | Answers)

• Solving Equations with Brackets Name the Film (Editable Word | PDF | Answers)

• Solving Equations with Fractions Practice Strips (Editable Word | PDF | Answers​)

• Solving Linear Equations Crack the Code (Editable Word | PDF | Answers)

• Solving Mixed Linear Equations Practice Grid (Editable Word | PDF | Answers​)

• Using Algebra in Shapes Practice Grid (Editable Word | PDF | Answers)

• Using Algebra in Angles Practice Grid (Editable Word | PDF | Answers)

Quadratics:

• Completing the Square Practice Strips (Editable Word | PDF | Answers)

• Completing the Square Fill In The Blanks (Editable Word | PDF | Answers)

• Harder Completing the Square Fill In The Blanks (Editable Word | PDF | Answers)

• Equivalent Quadratic Expressions Match-Up (Editable Word | PDF | Answers)

• Solving Quadratics by Factorising Practice Strips (Editable Word | PDF | Answers)

• Solving Quadratics by Factorising Match-Up (Editable Word | PDF | Answers)

• Solving Quadratic Equations in Context Practice Grid (Editable Word | PDF | Answers)

• Solving Harder Quadratics by Factorising Practice Strips (Editable Word | PDF | Answers)

• Solving Harder Quadratics by Factorising Name the Film (Editable Word | PDF | Answers)

• Solving Quadratics by Factorising or Formula Practice Grid (Editable Word | PDF | Answers)

• Solving Quadratics by Completing the Square Practice Strips (Editable Word | PDF | Answers)

• Solving Quadratics by Formula Practice Strips (Editable Word | PDF | Answers)

• Using the Quadratic Formula Fill In The Blanks (Editable Word | PDF | Answers)

• Steps to Proving the Quadratic Formula Activity (Editable Word | PDF | Answers)

• Solving Quadratics Crack the Code (Editable Word | PDF | Answers)

• Solving Quadratics Using Different Methods Practice Grid (Editable Word | PDF | Answers)

• Solving Quadratics Revision Practice Grid (Editable Word | PDF | Answers)

Increasingly Difficult Questions

• Solving linear equations questions (answers) - @taylorda01

• Solving quadratics by factorising questions (answers) - @taylorda01

• Completing the square questions - @taylorda01

Maths4everyone (includes practice/ exam questions)

• linear equations

• quadratic equations

Extension

• Harder Quadratics - mathshelper.co.uk

• Tough equations - Median Don Steward

• Quadratic formula - Median Don Steward

• Quadratic formula Open Middle problem - openmiddle.com

Other Resources

Linear:

• Solving equations - visual scaffolding - mathspad.co.uk

• Find the mystery number - mathspad.co.uk

• I'm thinking of a number - mathspad.co.uk

• Equations crossnumber - mathspad.co.uk

• Worms, beetles and loops - Median Don Steward

• Some wrong equation solving - Median Don Steward

• Linear equations cross-puzzles - Median Don Steward

• Linear equations sheets - Median Don Steward

• Puzzles that you could use algebra to solve - Median Don Steward

• Linear equation extras - Median Don Steward

• Forming equations - mathshelper.co.uk

• Solving equations with area - Access Maths

• Solving equations with perimeter - Access Maths

• Solving equations with brackets - @FortyNineCubed

• Equations involving brackets - typed up by Justin Thompson

• Solving linear equations - Cazoom Maths

• Equations exercises from the 1950s

• Equations with unknown on both sides notes and exercises - martahidegkuti.com

• Expression polygons - Colin Foster

• Steps to Solving Equations - Mathematics Assessment Project

• Introduction to equations - lessons plans and activities - Project Maths 

• One Step Equations No Negatives Colour & Maze - GottaLuvItCreations on TES

• Forming and solving linear equations - steele1989 on TES

• One Step Equations - colouring - Mr Thompson on TES

• Solving Equations and Simplifying Expressions - Pyramids - Mr Thompson on TES

• Solving Equations with Fractional Answers - Mr Thompson on TES

• Solving Equations with Brackets - Challenge Questions - Mr Thompson on TES

• Equations - x on both sides - Problem Solving - Mr Thompson on TES

Quadratics

- by factorising

• Factorising and solving quadratic equations - CrashMaths

• Mixed Linear and Quadratic Equations - Chris McGrane

• Quadratic equations - Median Don Steward

• Form and solve an equation - Median Don Steward

• Introduction to Quadratic Equations - lesson plans and activities - Project Maths

• Solving Quadratics Spiders - Andy Lutwyche on TES

• Codebreaker - Solving Quadratics (by factorising) - Andy Lutwyche on TES

• Quadratic equations collect a joke - Dan Walker on TES

• Solving Quadratic Equations (with Re-arrangement) - Mr Thompson on TES

• Making quadratics from areas - pas1001 on TES

- by formula

• Quadratic formula - mathshelper.co.uk

• Quadratic formula worksheet - CrashMaths

• Quadratic formula lesson and activities - Richard Tock

• The Quadratic Formula - Andy Lutwyche on TES

• Quadratic formula lesson - LawrenceHouldsworth on TES

• Quadratic formula revision worksheet - timcw on TES

- by completing the square

• A level completing the square worksheet (solutions) - Solomon

• Completing the square worksheet - CrashMaths

• Completing the square activity and notes (teacher notes and slides) - Nuffield Foundation

• Completing the square to sketch - SRWhitehouse on TES

• Completing the square mystery - via TES (originally NCETM)

• Completing the square codebreaker - alutwyche on TES

• Solving by Completing the Square - Matching Activity - Mr Thompson on TES

- Mixed 

• A level quadratics problems worksheet (solutions) - Solomon

• End of topic quadratics test - Crash Maths 

• Quadratics resources - ColmanWeb

• Odd One Out - mathspad.co.uk

• Quadratic expression versions - Don Steward

• Quadratic Skills Problem Solving Task - Chritsopher on TES

• IS MYP maths skills-based practice directory