AQA · Mathematics · 8300
GCSE Maths: Identities, Formula, Equations etc
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Identities, Formula, Equations etc (Corbettmaths Video 367), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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Is 2x + 10y an expression, identity, inequality or equation?
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An expression — it has no equals sign, inequality sign or identity sign; it is just terms combined.
Is 9 + x < 12 an expression, identity, inequality or equation?
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An inequality — it uses the < sign to compare two quantities.
What is the first term of the expression 5x + 8y − 4z?
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5x.
In the expression 2a + 5b + 4c, 4c is the last ?.
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term
What is the coefficient of c in 2a + 5b + 4c?
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4 — the coefficient is the number multiplying the variable.
Which symbol shows that (x + 2)² ≡ x² + 4x + 4 is an identity?
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The ≡ sign (three lines), meaning the two sides are equal for every value of x.
Why is 10x ≡ 4x + 12 not an identity?
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An identity must be true for all values of x, but 10x = 4x + 12 is only true when x = 2 — so it is an equation.
What distinguishes an identity from an equation?
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An identity is true for every value of the variable; an equation is only true for particular values.
What makes a mathematical statement a formula rather than an equation?
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A formula is a rule linking two or more variables (e.g. A = πr²), used to work out one quantity from others; an equation is solved for a specific unknown.
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