Algebra II (AQA GCSE Further Maths): Quizzes

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Rearranging formulae
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In the formula C=2πrC = 2\pi r, which variable is the subject?

CC

What is the golden rule when rearranging formulae?

Do the same operation to both sides

Which operation is the inverse of multiplication?

Division

Make rr the subject of C=2πrC = 2\pi r. What is the result?

r=C2πr = \frac{C}{2\pi}

When taking square roots, what solutions typically exist?

Both positive and negative

What is the first step to make xx the subject of h=x2+y2h = \sqrt{x^2 + y^2}?

Square both sides

Make aa the subject of v=u+atv = u + at. What is the result?

a=v−uta = \frac{v - u}{t}

When a variable appears multiple times, what must you do with those terms?

Collect all terms together

In rearranging at=3t+6at = 3t + 6, what is the factorised form collecting tt terms?

t(a−3)=6t(a - 3) = 6

What is the first step when rearranging formulae with fractions?

Multiply both sides by denominator

Make xx subject of y=x+21+3xy = \frac{x + 2}{1 + 3x}. What is the result?

x=2−y3y−1x = \frac{2 - y}{3y - 1}

Why might only the positive square root be used in some contexts?

Measuring lengths can't be negative

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