1E - Working with formulas
1E - Content video: Working with formulas
This video covers the theory and an examples relating to transposition and substitution of mathematical formulas.
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Transposition and substitution of formulas:
- A formula is a mathematical statement that describes the relationship between variables/symbols/quantities. For example, \(A=\pi r^2\) describes the relationship between the radius and area of a circle.
- Formulas can be transposed which is the process of changing the subject of the formula. For example, \(A=\pi r^2\) can be transposed to make \(r\) the subject, giving: \(r=\sqrt{\frac{A}{\pi}}\).
- We can also substitute value(s) into formulas to find the value of another quantity. For example, if the radius of a circle is \(3\) \(cm\) (\(r=3\)), then the area is \(A=\pi(3)^2=9\pi\) \(cm^2\).
1E - Example 1: Transposition and SUBSTITUTION of formulas
Consider the formula \(v=u+at\), where \(v\) is the final velocity (\(m\)/\(s\)), \(u\) is the initial velocity (\(m\)/\(s\)), \(a\) is the constant acceleration (\(m\)/\(s^2\)) and \(t\) is the time (\(s\)).
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1E - Example 1: Video solution
1E - Example 1: Practice
Question 1: ABC Question 2: ABC 1E - Example 1: Solutions
Question 1: ABC Question 2: ABC |
1E - Example 2: Transposition and SUBSTITUTION of formulas (CAS)
Consider the formula \(V=\frac{4}{3}\pi r^3\) which describes the relationship between the volume and radius of a sphere.
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1E - Example 2: Video solution
1E - Example 2: Practice
Question 1: ABC Question 2: ABC 1E - Example 2: Solutions
Question 1: ABC Question 2: ABC |