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Questions and Answers
In the formula for the area of a rectangle, which variable is the subject of the formula?
In the formula for the area of a rectangle, which variable is the subject of the formula?
In the formula A = bh, to isolate b, you need to add h to both sides.
In the formula A = bh, to isolate b, you need to add h to both sides.
False
What is the inverse operation needed to remove +at from the equation v = u + at?
What is the inverse operation needed to remove +at from the equation v = u + at?
-at
To change the subject of a formula, you must ____ the variable to be isolated.
To change the subject of a formula, you must ____ the variable to be isolated.
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Match the following formulas with their rearrangement to isolate the indicated variable:
Match the following formulas with their rearrangement to isolate the indicated variable:
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Which formula can be rearranged to make k the subject?
Which formula can be rearranged to make k the subject?
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The subject of a formula is always the variable that is alone on one side of the equals sign.
The subject of a formula is always the variable that is alone on one side of the equals sign.
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The inverse operation of multiplying by h is ____ by h.
The inverse operation of multiplying by h is ____ by h.
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Study Notes
Changing the Subject of a Formula
- A formula's subject is the variable you're solving for.
- It's the letter standing alone on one side of the equals sign.
- For example, in (A = bh), the subject is (A) (area).
Rearranging Formulas
- To change the subject, manipulate the formula to isolate the desired variable.
- Use inverse operations (like adding and subtracting, multiplying and dividing).
Example: Finding the Base of a Rectangle
- Given (A = bh), to find (b), divide both sides by (h):
- (b = \frac{A}{h})
- This isolates (b) and makes it the subject.
Example: Rearranging (v = u + at) to find (u)
- Subtract (at) from both sides to isolate (u):
- (u = v - at)
Example: Rearranging (v = u + at) to find (t)
- Subtract (u) from both sides: (v - u = at)
- Divide both sides by (a): (t = \frac{v - u}{a})
Example: Rearranging (P = \frac{k}{j}) to find (k)
- To isolate (k), multiply both sides by (j):
- (k = Pj)
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Description
This quiz focuses on changing the subject of formulas in algebra. You will practice manipulating equations to isolate the desired variable through inverse operations. Strengthen your understanding of formulas and enhance your skills in solving mathematical problems.
