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Questions and Answers
Isolate the variable 's' in the equation P = 4s.
Isolate the variable 's' in the equation P = 4s.
s = \frac{P}{4}
Isolate the variable 't' in the equation ( v = \frac{d}{t} ).
Isolate the variable 't' in the equation ( v = \frac{d}{t} ).
t = \frac{d}{v}
Isolate the variable 'y' in the equation 4x + 2y = 6.
Isolate the variable 'y' in the equation 4x + 2y = 6.
y = \frac{6 - 4x}{2}
Isolate the variable 'v' in the equation ( t = \frac{\sqrt{v^2-u^2}}{30} ).
Isolate the variable 'v' in the equation ( t = \frac{\sqrt{v^2-u^2}}{30} ).
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Isolate the variable 't' in the equation ( S = \frac{(u+v)}{2} t ).
Isolate the variable 't' in the equation ( S = \frac{(u+v)}{2} t ).
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Study Notes
Isolate Variables
- To isolate a variable, you want to manipulate the equation to get your desired variable on one side by itself and everything else on the other side.
- This involves using inverse operations until the variable is by itself.
Isolate s
- P = 4s
- Divide both sides by 4
- Therefore s = P/4
Isolate t
- $v = \frac{d}{t}$
- **Multiply both sides by 't' **
- Divide both sides by 'v'
- Therefore t = d/v
Isolate y
- 4x + 2y = 6
- Subtract 4x from both sides
- **Divide both sides by 2 **
- Therefore y = (6 - 4x)/2
Isolate v
- $t = \frac{\sqrt{v^2-u^2}}{30}$
- Multiply both sides by 30
- Square both sides
- Add u² to both sides
- Take the square root of both sides
- Therefore v = √( (30t)² + u² )
Isolate t
- **$S = \frac{(u+v)}{2}$ t **
- Multiply both sides by 2
- Divide both sides by (u+v)
- Therefore t = 2S / (u+v)
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Description
This quiz focuses on the techniques for isolating variables in algebraic equations. You will practice manipulating equations to get specific variables alone on one side. Test your understanding of inverse operations and variable isolation strategies.
