Year 10 / GCSE · Maths
Algebra: Equations And Inequalities
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Focus on solving equations and inequalities gcse. Start with “Create and Solve Equations”, then explain the idea in your own words.
Year 10 / GCSE learners practise solving equations and inequalities gcse.
The activities include Create and Solve Equations, Identify Regions in Inequalities, Link Inputs and Outputs, and related practice. The checked support below includes video, worksheet, teaching, practice. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.
Activities covered
- Create and Solve Equations
- Identify Regions in Inequalities
- Link Inputs and Outputs
- Rearrange Formulae
- Solve Complex Inequalities
- Solve Complex Quadratic Equations
- Solve Equations with Fractions
- Solve Equations with Unknown on Both Sides
- Solve Inequalities (on a number line)
- Solve Inequalities with Two Variables
- Solve Linear and Quadratic Simultaneous Equations
- Solve Linear Inequalities
- Solve One Step Equations
- Solve Quadratic Equations
- Solve Quadratic Equations Using Factorisation
- Solve Quadratic Inequalities
- Solve Simultaneous Equations (by elimination)
- Solve Simultaneous Equations (by multiplication)
- Solve Simultaneous Equations (by multiplying one equation)
- Solve Simultaneous Equations (by substitution)
- Solve Simultaneous Equations both Linear and Quadratic
- Solve Simultaneous Equations Graphically
- Solve Two-Stage Inequalities
- Solve Two-Step Equations
- Solve Two-Step Equations (including brackets)
- Understand and Use Algebraic Terms 1
- Understand and Use Algebraic Terms 2
- Use Completing the Square to Solve Quadratics
- Use Composite Functions
- Use Formal Function Notation
- Use Inverse Functions
- Use the Quadratic Formula
- Using Greater Than and Equal To Symbols
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Watch it explained
a teacher walks through it
Forming linear equations from contexts
Best for: a clear explanation before you practise
Regions defined by several inequalities
Best for: a clear explanation before you practise
Function machines
Best for: a clear explanation before you practise
Changing the subject of a formula
Best for: a clear explanation before you practise
Solving more complicated linear inequalities
Best for: a clear explanation before you practise
Solving complex quadratics by factorising
Best for: a clear explanation before you practise
Equations containing fractions
Best for: a clear explanation before you practise
Solving and interpreting linear equations
Best for: a clear explanation before you practise
Inequalities on number lines
Best for: a clear explanation before you practise
Solving a linear inequality graphically
Best for: a clear explanation before you practise
Linear and quadratic simultaneous equations by substitution
Best for: a clear explanation before you practise
Solving linear equations
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Equations involving x squared
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Solving quadratic equations by factorising
Best for: a clear explanation before you practise
Solving quadratic inequalities graphically
Best for: a clear explanation before you practise
Simultaneous equations by elimination
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Complex simultaneous equations by elimination
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Linear simultaneous equations by substitution
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Linear and quadratic simultaneous equations graphically
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Solving simple linear inequalities
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Terms, expressions, equations, formulae and identities
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Solving quadratics by completing the square
Best for: a clear explanation before you practise
Writing and evaluating composite functions
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Defining and using function notation
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Finding inverse functions
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Solving quadratics with the quadratic formula
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Learn it properly
lessons and teaching pages
Forming linear equations from contexts lesson slides
Best for: worked examples and step-by-step teaching
Regions defined by several inequalities lesson slides
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Functions as input-output mappings lesson slides
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Changing the subject of a formula lesson slides
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Solving more complicated linear inequalities lesson slides
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Finding a single solution set lesson slides
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Solving complex quadratics by factorising lesson slides
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Solving equations containing algebraic fractions
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Solving and interpreting linear equations lesson slides
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Inequalities on number lines lesson slides
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Solving a linear inequality graphically lesson slides
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Linear and quadratic simultaneous equations by substitution lesson slides
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Solving one-step equations
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Solving quadratics by taking square roots
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Solving quadratic equations by factorising lesson slides
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Solving quadratic inequalities graphically lesson slides
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Solving quadratic inequalities algebraically lesson slides
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Simultaneous equations by elimination lesson slides
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Complex simultaneous equations by elimination lesson slides
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Linear simultaneous equations by substitution lesson slides
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Linear and quadratic simultaneous equations graphically lesson slides
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Solving simple linear inequalities lesson slides
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Solving two-step equations
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Terms, expressions, equations, formulae and identities lesson slides
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Solving quadratics by completing the square lesson slides
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Writing and evaluating composite functions lesson slides
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Defining and using function notation lesson slides
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Finding inverse functions lesson slides
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Solving quadratics with the quadratic formula lesson slides
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Greater than, less than or equal to: KS3 walkthrough
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Practise it
questions and activities to try
Forming Equations
Best for: checking understanding after learning
Graphical Inequalities Practice Questions
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Changing the Subject Practice Questions
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Inequalities Practice Questions
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Solving Quadratics by Factorising
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Non-Linear Simultaneous Equations Practice Questions
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Quadratic Inequalities Practice Questions
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Simultaneous Equations Practice Questions
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Simultaneous Equations: Graphical Textbook Exercise
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Solving Equations Practice Questions
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Algebraic Notation Practice Questions
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Completing the Square Practice Questions
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Function Notation Practice
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Quadratic Formula Practice Questions
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Print and finish
worksheets away from the screen
Forming linear equations from contexts worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Regions defined by several inequalities worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Function machines practice
Best for: pencil-and-paper practice away from the screen
Functions as input-output mappings worksheet and quizzes
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Changing the subject of a formula worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Solving more complicated linear inequalities worksheet and quizzes
Best for: pencil-and-paper practice away from the screen
Solving complex quadratics by factorising worksheet and quizzes
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Equations containing fractions practice
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Solving and interpreting linear equations worksheet and quizzes
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Equations with unknowns on both sides practice
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Inequalities on number lines worksheet and quizzes
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Solving a linear inequality graphically worksheet and quizzes
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Linear and quadratic simultaneous equations by substitution worksheet and quizzes
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Solving linear equations practice
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Equations involving x squared practice
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Solving quadratic equations by factorising worksheet and quizzes
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Solving quadratic inequalities graphically worksheet and quizzes
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Simultaneous equations by elimination worksheet and quizzes
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Simultaneous equations from a context worksheet and quizzes
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Complex simultaneous equations by elimination worksheet and quizzes
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Linear simultaneous equations by substitution worksheet and quizzes
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Problem solving with linear and quadratic simultaneous equations worksheet and quizzes
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Linear and quadratic simultaneous equations graphically worksheet and quizzes
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Linear simultaneous equations graphically worksheet and quizzes
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Solving simple linear inequalities worksheet and quizzes
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Terms, expressions, equations, formulae and identities worksheet and quizzes
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Solving quadratics by completing the square worksheet and quizzes
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Writing and evaluating composite functions worksheet and quizzes
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Composite functions practice
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Defining and using function notation worksheet and quizzes
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Finding inverse functions worksheet and quizzes
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Solving quadratics with the quadratic formula worksheet and quizzes
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