Algebraic proof (AQA GCSE Further Maths): Quizzes
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Practise the questions
11 questions from this quiz
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Practise the questions
11 questions from this quiz
What is the key principle when constructing an algebraic proof?
What is the key principle when constructing an algebraic proof?
Start with given info, work step-by-step
What is a common mistake when writing algebraic proofs?
What is a common mistake when writing algebraic proofs?
Writing conclusion first
When proving an expression is a square number, what form must you show it can be written in?
When proving an expression is a square number, what form must you show it can be written in?
where is an integer
When is completing the square particularly useful in proofs?
When is completing the square particularly useful in proofs?
Proving expressions are always positive
What key property of squared expressions is used in algebraic proofs?
What key property of squared expressions is used in algebraic proofs?
They are never negative
What is the first step when completing the square for ?
What is the first step when completing the square for ?
Take half coefficient of
What form does completing the square transform a quadratic expression into?
What form does completing the square transform a quadratic expression into?
For , why is this expression always positive?
For , why is this expression always positive?
, so adding 2 gives ≥ 2
When working with rational functions in proofs, what should you do first?
When working with rational functions in proofs, what should you do first?
Factor and cancel common terms
What is a common trap when proving statements about integers?
What is a common trap when proving statements about integers?
Forgetting to state variables are integers
How should you end an algebraic proof?
How should you end an algebraic proof?
With a clear restatement of what proved