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Understanding Variable Formulae: Expressions and Calculations Using Common Equations

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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  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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