# KS4. Changing the Subject of a Formula. Exercise Set 3 (Variable on denominator)

Now we will increase the difficulty a little and start to introduce more algebra and fractions into our formulae.

Worked examples

• Make x the subject of the following equations:
• $\frac{56}{x} = 8$
• $\frac{y}{x} = 8$
• $\frac{10}{x} = \frac{1}{3}$
• $\frac{a}{x} = \frac{y}{b}$
• $\frac{a}{x+2} = b$
• $\frac{a}{x+2} = b$
• $a - \frac{b}{x} = c$
• $\frac{a}{bx} - c = d$

Exercise

Note: If you haven’t yet studied trigonometry, feel free to skip questions 8 and 9 of exercise 6!

Answers

The answers are below: