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If a = 3 and b = 9 evaluate

Learn about evaluating equations, understanding key formulas with examples, and finding patterns in numerical sequences. Discover how to apply different operations and solve complex linear patterns step by step.

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If a = 3 and b = 9 evaluate

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  1. Formulae If a = 3and b = 9evaluate a + b Sub in a=3 = 3 + 9 Sub in b=9 = 12

  2. Formulae If a = 3and b = 9evaluate ab a x b Remember ab means a x b Sub in a=3 = 3 9 x Sub in b=9 = 27

  3. Formulae If a = 3and b = 9evaluate 4b 4 x b Remember 4b means 4 x b = 4 9 x Sub in b=9 = 36

  4. Formulae If a = 5and b = 3evaluate 2a + 4b 2xa + 4xb = Remember 2a means 2 x a Sub in a=5 4x 3 = 2x 5 + Sub in b=3 = 10 12 + = 22

  5. Formulae If a = 5and b = 3evaluate a 2 a x a = Remember a2 means a x a Sub in a=5 = 5 5 x = 25

  6. Formulae If a = 15 and b = 3 evaluate a 15 = b 3 Sub in a = 15 Sub in b = 3 = 5

  7. Formulae A formula is the process calculating a quantity based on a known relationship e.g. Length, Area, Volume etc........ It is VERY important that we remember a keypoint when working with formulae. B Brackets O Other  squares and square root etc.... D Divide M Multiplication A Addition S Subtraction

  8. Formulae Sometimes formulae are expressed in words. A tile fitter charges £20 per hour. How much will he charge for 8 hours of work. C = 20xh For h = 8 C = 20 x 8 = £160

  9. Formulae The cost for hiring a carpet cleaner is £30 plus £3 a day How much will it cost to hire for a week. C = 30 + 3d For d = 7 £51 C = 30 + 3 x 7 =

  10. Formulae Profit : Subtract how much you paid for goods in the first place from the amount you actually sold them for. How much profit did Daniel make if he bought a CD for £9.99 and sold it for £12 Profit (P) = Cost Price Selling Price – £2.01 P = 12 – 9.99 =

  11. 6 2 4 5 1 3 9 3 1 Table 2 Tables 3 Tables 3 3 3 3 Simple Linear Patterns using diagrams and tables Fill empty boxes Number of Tables Step 1 : Number of Surfers 12 15 Step 2 : Find difference What is the formula Same difference linear pattern

  12. Number of Tables Number of Surfers 12 15 3 4 5 2 3 6 9 1 3 3 3 3 HINT : Let the number of surfers be the letter S and the number of tables be the letter T Step 3 : Can you write down formula connecting the number of surfers and the number of tables. Simple Linear Patterns using diagrams and tables S = 3 x T S = 3T

  13. Simple Linear Patterns using diagrams and tables Key-Points Write down the 3 main steps 1. Make a table 2. Find the difference 3. Use the difference to write down the formula

  14. Complicated Linear Patterns using diagrams and tables 3 Tables 1 Table 2 Tables 8 4 2 3 1 5 4 6 2 2 2 2 Fill empty boxes Number of Tables Step 1 : Number of Surfers 10 12 Step 2 : Find difference What is the formula Same difference linear pattern

  15. Complicated Linear Patterns using diagrams and tables Number of Tables Number of Surfers 10 12 6 5 1 4 2 4 8 3 2 2 2 2 S = 2 x T Part of the Formula Find a number so formula works Step 3 : Step 4 : S = 2T + 2 Correction factor “add on 2”

  16. Complicated Linear Patterns using diagrams and tables Key-Points Write down the 4 main steps 1. Make a table 2. Find the difference 3. Write down part of formula 4. Find the correction factor and then write down the full formula

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