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Understanding Variable Formulae: Expressions and Calculations Using Common Equations

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This guide covers the fundamental concepts of using variable formulae in mathematics, including substitution and computation of various expressions. Learn how to work with equations like ( y + 3 ), ( frac{1}{2}y ), and ( p - 4 ), as well as practical applications such as calculating cooking times for a chicken and hiring costs for a sander. The guide includes step-by-step examples for evaluating formulas, helping you master the necessary skills for solving equations in different contexts.

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Understanding Variable Formulae: Expressions and Calculations Using Common Equations

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Presentation Transcript

  1. Vocabulary Using formulae Variable Formula Coefficient Substitution Expression Terms

  2. Some expressions Using formulae y + 3 3 more than y y y + 3

  3. Some expressions Using formulae ½y Half of y y ½ y ½ y

  4. Some expressions Using formulae p - 4 4 less than p p p - 4 4

  5. Some expressions Using formulae y + 3 2c + d m - 5 12 - h 3p 2(t + 3) ab + bc ½ t

  6. This is how to cook a chicken Using formulae Time = 20mins × w + 15 mins T = 20 w + 15

  7. This is how to cook a chicken Using formulae T = 20 w + 15 How long does a 4kg chicken take to cook?

  8. The cost of hiring a sander for a number of hours Using formulae Cost = £12 × n + £10 C = 12n + 10

  9. The cost of hiring a sander for a number of hours Using formulae C = 12n + 10 Work out the cost of hiring a sander for 8 hours.

  10. The exchange formula for pounds and euros Using formulae P = 0.8E Work out the value of €300 in pounds Work out the value of £300 in euros

  11. Here is another formula Using formulae V = ab − c Work out the value of V when : a = 5, b = 3 and c = 0.5

  12. Here is another formula Using formulae T = 3m2 + 4n Work out the value of T when : m = 6 and n = 9

  13. Here is one more formula Using formulae Work out the value of P when k = 30. Give your answer to 1 d. p.

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