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2.2
2.2

Algebraic manipulation

Expand products; factorise incl. quadratics; manipulate algebraic fractions.

Syllabus Statements
  • Evaluate expressions by substituting numerical values for letters
  • Collect like terms
  • Multiply a single term over a bracket
  • Take out common factors
  • Expand the product of two simple linear expressions
  • Understand the concept of a quadratic expression and be able to factorise such expressions (limited to x^2 + bx + c)

2.2.1 Substitution

Corbett Maths · Video

Substitution

Corbett Maths Textbook · Learn

Algebra: substitution Textbook Exercise

Corbett Maths Textbook · Learn

Algebra: equation of a circle Textbook Exercise

Corbett Maths Textbook · Learn

Algebra: expressions – forming Textbook Exercise

Dr Austin Maths · Practise

Substitution into Expressions Practice Strips

Dr Austin Maths · Practise

Substitution into Expressions Decode the Joke

Dr Austin Maths · Practise

Substitution into Quadratic Expressions Match-Up

Dr Austin Maths · Practise

Substitution into Equations Practice Strips

Dr Austin Maths · Practise

Substitution into Formulae Practice Strips

Dr Austin Maths · Practise

Substitution into Expressions and Formulae Practice Grid

Dr Austin Maths · Practise

Substitution and Rearranging Formulae Revision Practice Grid

Corbett Maths Practice · Apply

Substitution Practice

Corbett Maths Practice · Apply

Cross Multiplication Practice

2.2.2 Collecting Like Terms

Corbett Maths · Video

Simplifying Algebra

Corbett Maths Textbook · Learn

Algebra: indices Textbook Exercise

Corbett Maths Textbook · Learn

Algebra: multiplying terms Textbook Exercise

Corbett Maths Textbook · Learn

Algebra: notation Textbook Exercise

Dr Austin Maths · Practise

Simplifying Expressions by Adding and Subtracting Practice Strips

Dr Austin Maths · Practise

Simplifying Expressions by Multiplying and Dividing Practice Strips

Dr Austin Maths · Practise

Simplifying Expressions True or False

Dr Austin Maths · Practise

Collecting Like Terms Practice Strips

Dr Austin Maths · Practise

Collecting Like Terms Odd One Out

Dr Austin Maths · Practise

Simplifying Expressions by Multiplying Fill in the Blanks

Dr Austin Maths · Practise

Simplifying Expressions by Dividing Fill in the Blanks

Dr Austin Maths · Practise

Algebraic Multiplication and Division Fill in the Blanks

Dr Austin Maths · Practise

Simplifying Expressions Involving Brackets and Powers Fill in the Blanks

Dr Austin Maths · Practise

Simplifying Expressions Decode the Joke

Dr Austin Maths · Practise

Simplifying Expressions Crack the Code

Dr Austin Maths · Practise

Simplifying Expressions Practice Grid

Dr Austin Maths · Practise

Simplifying Algebraic Fractions Fill In The Blanks

Dr Austin Maths · Practise

Simplifying Algebraic Fractions Practice Strips

Dr Austin Maths · Practise

Simplifying Algebraic Fractions Odd One Out

Dr Austin Maths · Practise

Simplifying Algebraic Fractions Match-Up

Dr Austin Maths · Practise

Simplifying Algebraic Fractions Pixel Picture

Corbett Maths Practice · Apply

Collecting Like Terms Practice

Corbett Maths Practice · Apply

Dividing Terms Practice

Corbett Maths Practice · Apply

Multiplying Terms Practice

Corbett Maths Practice · Apply

Collecting Like Terms Pdf3 Exercise

Corbett Maths Practice · Apply

Dividing Terms Pdf1 Exercise

Corbett Maths Practice · Apply

Simplifying Algebraic Fractions Exercise

Maths Genie · Exam Prep

Simplifying Algebra Exam Questions

2.2.3 Basic Factorising

Corbett Maths · Video

Expanding and Factorising

Dr Austin Maths · Practise

Algebraic Proof with Expanding and Factorising Practice Grid

Dr Austin Maths · Practise

Factorising with Common Factors Practice Strips

Dr Austin Maths · Practise

Factorising with Common Factors Practice Grid

Dr Austin Maths · Practise

More Factorising with Common Factors Practice Grid

Dr Austin Maths · Practise

Harder Factorising with Common Factors Practice Strips

Dr Austin Maths · Practise

Expanding and Factorising Guided Revision Grid

Dr Austin Maths · Practise

Expanding and Factorising Revision Fill In The Blanks

Dr Austin Maths · Practise

Factorising Revision Practice Grid

2.2.4 Expanding Brackets (Double and Triple)

Corbett Maths · Video

Expanding and Factorising Quadratics Video (Part 2)

Dr Austin Maths · Practise

Expanding Single Brackets Fill in the Blanks

Dr Austin Maths · Practise

Expanding Single Brackets Practice Strips

Dr Austin Maths · Practise

Expanding Single Brackets Practice Grid

Dr Austin Maths · Practise

Expanding Single Brackets Odd One Out

Dr Austin Maths · Practise

Expanding Single Brackets Name the Film

Dr Austin Maths · Practise

Expanding Single Brackets with Indices Match-Up

Dr Austin Maths · Practise

Expanding Two Sets of Single Brackets Practice Strips

Dr Austin Maths · Practise

Expanding Double Brackets using a Grid Fill in the Blanks

Dr Austin Maths · Practise

Expanding Double Brackets Algebraically Fill in the Blanks

Dr Austin Maths · Practise

Expanding Harder Double Brackets Fill in the Blanks

Dr Austin Maths · Practise

Expanding Double Brackets with Mixed Variables Fill in the Blanks

Dr Austin Maths · Practise

Expanding Double Brackets Practice Strips

Dr Austin Maths · Practise

Expanding Double Brackets Match-Up

Dr Austin Maths · Practise

Expanding Harder Brackets Fill in the Blanks

Dr Austin Maths · Practise

Expanding Harder Brackets Practice Strips

Dr Austin Maths · Practise

Mixed Expanding Single and Double Brackets Practice Strips

Dr Austin Maths · Practise

Expanding Three Brackets Fill in the Blanks

Dr Austin Maths · Practise

Expanding Repeated Brackets Fill in the Blanks

Dr Austin Maths · Practise

More Expanding Harder Brackets Practice Strips

Dr Austin Maths · Practise

Expanding Brackets Revision Practice Grid

Corbett Maths Practice · Apply

Expanding Brackets Practice

Corbett Maths Practice · Apply

Expanding Two Brackets Practice

Corbett Maths Practice · Apply

Expanding Brackets Pdf1 Exercise

Corbett Maths Practice · Apply

Expanding Two Brackets Pdf2 Exercise

Corbett Maths Practice · Apply

Expanding Three Brackets Pdf1 Exercise

Maths Genie · Exam Prep

Expanding And Factorising Quadratics Exam Questions

2.2.5 Factorising Quadratics

Corbett Maths · Video

Factorising Harder Quadratics Video (Part 2)

Corbett Maths Textbook · Learn

Quadratics: solving graphically Textbook Exercise

Corbett Maths Textbook · Learn

Quadratics: formula Textbook Exercise

Corbett Maths Textbook · Learn

Quadratics: solving (completing the square) Textbook Exercise

Corbett Maths Textbook · Learn

Factorisation: quadratics Textbook Exercise

Corbett Maths Textbook · Learn

Factorisation: quadratics harder Textbook Exercise

Dr Austin Maths · Practise

Factorising Quadratics using Sums and Products Fill in the Blanks

Dr Austin Maths · Practise

Factorising Quadratics using a Grid Fill in the Blanks

Dr Austin Maths · Practise

More Factorising Quadratics using a Grid Fill in the Blanks

Dr Austin Maths · Practise

Factorising Quadratics Practice Strips

Dr Austin Maths · Practise

Factorising Quadratics Name the Film

Dr Austin Maths · Practise

Factorising Harder Quadratics Practice Strips

Dr Austin Maths · Practise

Factorising Harder Quadratics Fill In The Blanks

Dr Austin Maths · Practise

Factorising Harder Quadratics Crack the Code

Dr Austin Maths · Practise

Manipulating Negative Quadratics Practice Strips

Dr Austin Maths · Practise

Difference of Two Squares Practice Strips

Dr Austin Maths · Practise

Mixed Factorising Quadratics Practice Grid

Dr Austin Maths · Practise

Equivalent Quadratic Expressions Match-Up

2.2.6 Completing the Square

Corbett Maths · Video

Completing the Square

Dr Austin Maths · Practise

Completing the Square Practice Strips

Dr Austin Maths · Practise

Completing the Square Fill In The Blanks

Dr Austin Maths · Practise

Completing the Square Practice Grid

Dr Austin Maths · Practise

Harder Completing the Square Fill In The Blanks

Dr Austin Maths · Practise

Harder Completing the Square Practice Grid

Corbett Maths Practice · Apply

Completing The Square Pdf2 Exercise

2.2.7 Algebraic Fractions

Corbett Maths · Video

Algebraic Fractions Video (Part 1)

Corbett Maths · Video

Algebraic Fractions Video (Part 2)

Dr Austin Maths · Practise

Multiplying Algebraic Fractions Fill In The Blanks

Dr Austin Maths · Practise

Dividing Algebraic Fractions Fill In The Blanks

Dr Austin Maths · Practise

Multiplying and Dividing Algebraic Fractions Practice Strips

Dr Austin Maths · Practise

*NEW* More Multiplying and Dividing Algebraic Fractions Practice Strips

Dr Austin Maths · Practise

Adding and Subtracting Algebraic Fractions Fill In The Blanks

Dr Austin Maths · Practise

Adding and Subtracting Algebraic Fractions Practice Strips

Dr Austin Maths · Practise

Adding and Subtracting Algebraic Fractions Match-Up

Dr Austin Maths · Practise

*NEW* More Adding and Subtracting Algebraic Fractions Practice Strips

Dr Austin Maths · Practise

Algebraic Fractions Revision Practice Grid

Dr Austin Maths · Practise

Mixed Operations with Algebraic Fractions Practice Strips

Corbett Maths Practice · Apply

Algebraic Fractions Practice

Corbett Maths Practice · Apply

Adding Algebraic Fractions Pdf Exercise

Corbett Maths Practice · Apply

Dividing Algebraic Fractions Pdf1 Exercise

Corbett Maths Practice · Apply

Multiplying Algebraic Fractions Pdf Exercise

Maths Genie · Exam Prep

Algebraic Fractions Exam Questions

2.2.8 Algebraic Proof

Corbett Maths · Video

Algebraic Proof

Dr Austin Maths · Practise

Algebraic Proof with Multiples Practice Grid

Dr Austin Maths · Practise

Algebraic Proof with Odd and Even Numbers Practice Strips

Dr Austin Maths · Practise

Algebraic Proof with Multiples Practice Strips

Dr Austin Maths · Practise

Algebraic Proof Practice Strips

Dr Austin Maths · Practise

Proof Revision Practice Grid

Corbett Maths Practice · Apply

Algebraic Proof Practice

Corbett Maths Practice · Apply

Algebraic Proof Exercise