Changing the Subject of a Formula (Leaving Cert Mathematics): Quizzes

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Changing the Subject of a Formula
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In the formula x=2y−zx = 2y - z, which variable is the subject of the formula?

xx

What does 'changing the subject of a formula' mean?

Rearranging so a different variable is alone on the left-hand side

What is the key principle when changing the subject of a formula?

Perform same operation on both sides

When isolating a variable, which operation should you undo first?

The last operation applied

Make cc the subject of bc−d=abc - d = a. What is the answer?

c=a+dbc = \frac{a + d}{b}

Make yy the subject of x=3y2−1x = \frac{3y}{2} - 1. What is the answer?

y=2(x+1)3y = \frac{2(x + 1)}{3}

Make cc the subject of a=bcb+ca = \frac{bc}{b + c}. What is the answer?

c=−aba−bc = \frac{-ab}{a - b}

What technique should you use early when working with fractions in a formula?

Multiply through by denominators

When should you look to factor out your target variable?

When it appears in multiple terms

What is the most common exam trap when changing the subject?

Forgetting to change sign when moving terms

How should you verify your answer when changing the subject?

Substitute back into original equation

Why is the principle of 'working in reverse order' compared to unwrapping a present?

Remove outer layers first

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