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Algebra and Graphs

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Deriving and Evaluating Expressions with One Variable

Algebra and Graphs Deriving and Evaluating Expressions with One Variable
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  • (0:01) What is a Variable? A variable in maths is a symbol, usually a letter like $x$ or $y$, that represents a number that can change. It is often used in algebra to write expressions and equations.
  • (1:00) Expressions with One Variable (Example): In $20+5x$, $x$ represents the number of months, and the expression calculates total savings after $x$ months. Creating variable expressions helps solve real-life problems easily.
  • (1:42) How to Evaluate Expressions with One Variable: Replace the variable with a given value to find the result. In expression $50 – 3y$, where $y$ represents the number of snack packs. If $y = 10$, the balance is $50 – (3 × 10) = 20$, meaning after buying 10 packs, £20 remains. 

📂 Revision Cards

An example of expressions with one variable 20 + 5x, where the variable x represents the number of months.
1) Expressions with One Variable (Example)
Algebraic expression showing balance calculation using the variable y for the number of packs of chips costing £3 each.
2) How to Evaluate Expression with One Varaible

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Expressions with One Variable

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Q: Julia has £20 in savings. Each month, she saves an additional £5. How much will she have saved after 5 months?

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Q: A library has 200 books. Every week, 10 new books are added. How many books will the library have after 3

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Q: You start with £100, and you spend £8 each day. How much money will you have left after 12 days?

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Q: A factory starts with 1000 units of a product. They produce 120 units every day. After how many days will they have a total of 2000 units?

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Q: A gardener plants 15 flowers each day. They start with 50 flowers already planted. How many flowers will they have after 7 days?

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Q: A photographer charges £50 for a session. They charge an additional £30 for each extra photo. How much will the photographer charge after 12 photos?

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