GCSE Maths (AQA)

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Algebra Notation, vocabulary and manipulation

Adding & Subtracting Algebraic Fractions

7:16 simplify and manipulate algebraic expressions by: collecting like terms; multiplying a single term over a bracket; taking out common factors; simplifying expressions involving sums, products and powers, including the laws of indices; simplify and manipulate algebraic expressions (including those involving surds) by: expanding products of two binomials; factorising quadratic expressions of the form x² + bx + c, including the difference of two squares; simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by: expanding products of two or more binomials; factorising quadratic expressions of the form ax² + bx + c
Spec A4
Previous Substituting Values Next Multiplying Algebraic Fractions
  • Algebraic fractions can be added or subtracted in a similar way to normal fractions
  • Fractions can only be added or subtracted if their denominators are the same
  • If the denominators are not the same, one or both of the fractions should be multiplied until they have the same denominator
  • To find a common denominator, multiply the numerator and denominator of one fraction by the denominator of the other fraction
  • The lowest possible common denominator may not be obtained using this method
  • Simplify fully by expanding brackets and collecting like terms
  • Example: Simplify x/2 - (x+1)/7 by finding a common denominator of 14
  • Example: Simplify 2/(x+5) + 3/(x+1) by finding a common denominator of (x+1)(x+5)

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310

questions for Algebra

100

questions for Notation, vocabulary and manipulation