MYP 3 Mathematics · Algebra

Making subject formulas

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  1. Question 1

    In the formula , which variable is the subject?
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    A

    Step-by-step walkthrough

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    Method #1Direct Approach

    Step 1: Recall the definition of subject

    The subject of a formula is the variable that appears by itself on one side of the equation.

    Step 2: Examine the formula

    In , the variable is alone on the left-hand side. The right-hand side contains , which are the other variables.

    Step 3: Identify the subject

    Since is isolated on its own side of the equation, is the subject of the formula.

    Method #2Process of Elimination

    Step 1: What are we looking for?

    We need to find which variable stands alone on one side of the equals sign in .

    Step 2: Eliminate $l$

    appears on the right-hand side multiplied by , so it is not isolated. is not the subject.

    Step 3: Eliminate $w$

    Similarly, is on the right-hand side multiplied by , so it is not alone. is not the subject.

    Step 4: Eliminate 'no subject'

    Every formula has a subject — the variable written alone on one side. Saying 'there is no subject' is incorrect.

    Step 5: Select the correct answer

    is the only variable appearing by itself, so is the subject.

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