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1 of 8 0-day streak

Lesson Practice

Solve literal equations and simultaneous literal equations

DIFFICULTYintro standard challenge exam

Question 1 of 8

No calculator

Consider the equation

3p\, q\left(H -3s + 3t\right) = 3v - 3w

Assume \(p\ne0,\quad q\ne0\)

(a)1 mark

Find a formula for H

H = \frac{9p\, q\, s - 9p\, q\, t + 3v - 3w}{3p\, q}

H = \frac{-9p\, q\, t + 9q\, s + 3v - 3w}{3p\, q}

H = \frac{3v - 3w}{3p\, q}

H = \frac{9p\, q\, s - 9p\, q\, t + 3v - 3w}{-3p\, q}

(b)2 marks

Fill the two labelled coefficients in the solved form

H = \frac{?p\, q\, s - 9p\, q\, t + 3v - 3w}{?p\, q}

Coefficient of p q s in the numerator of H Coefficient of p q in the denominator of H