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Exam code:C300
Simple rearranging
What are formulas?
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A formula is a rule, definition or relationship between different quantities, written in shorthand using letters (variables)
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They include an equals sign
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Some examples you should be familiar with are:
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The equation of a straight line
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The area of a trapezium
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Pythagoras’ theorem
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How do I rearrange formulas?
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The letter (variable) that is on its own on one side is called the subject
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y is the subject of y = mx + c
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To make a different letter the subject, we need to rearrange the formula
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This is also called changing the subject
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The method is as follows:
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First, remove any fractions
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Multiply both sides by the lowest common denominator
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Then use inverse (opposite) operations to get the variable on its own
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This is similar to solving equations
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For example, make
the subject of
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First remove fractions
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Multiply both sides by 2
<img alt=”5 x plus 6 equals 2 y” data-mathml='<math ><semantics><mrow><mn>5</mn><mi>x</mi><mo>+</mo><mn>6</mn><mo>=</mo><mn>2</mn><mi>y</mi></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”22″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2222%22%20width%3D%2282%22%20wrs%3Abaseline%3D%2216%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmn%3E5%3C%2Fmn%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E6%3C%2Fmn%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmi%3Ey%3C%2Fmi%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math12ed72e0d2d50af08c235c494fe’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5
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