# Algebra - Formulas from words

Algebra is not all hard. It starts off quite easy. A bit like finding the missing number.
4x = 20 , so x = ?
Algebra is like ordinary arithmetic, but with a letter for a missing number to find.
² ³ % x y z ( ) { } + - * / = ÷
1. The spelling of arithmetic can be remembered by A Red Indian Though He Might Eat Tobacco in Church Can you make up a memory aid sentence to help with the spelling of algebra
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2. Write an algebraic expression for each of these:

1. To find y add 5 to x
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2. To find y square 6 and add it to x
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3. To find y multiply x by 7 and add 4
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4. Square x then divide by 8 to find y
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5. To find y subtract 7 from x and divide by 3
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6. y is equal to the square of x divided by 12
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3. Tickets for a football match cost £25 each.
1. Write a formula to calculate the cost, c, of n tickets.
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2. A booking fee of £1.25 is added to each ticket bought online. Write an equation to calculate the cost of n tickets bought online.
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4. There are n books in a pile. Write an expression for the number (N) of books in:
1. A pile with 23 more books
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2. A pile with 14 fewer books
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3. A pile with twice as many books
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4. x piles each with n books in them
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5. A warehouse filled with a square of book piles x piles long each side.
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1. This square has sides of length d cm.
1. What is its perimeter?
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2. What is its area?
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1. For the triangle below write equations for:
1. Its perimeter
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2. Its area.
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a cm zcm b cr n 11, C cm
5. The cost (C) of hiring a mountain bike is £10, plus £5 for each hour you use the bike (call it "h"). Write down a formula that can be used for working out the cost of hiring a bike.
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6. The cost per person of a flight from Manchester to Aberdeen is £73 plus £27 tax and an extra £15 for each piece of luggage.

Write down a formula to calculate the total cost (T) of a flight for p people with a total of (l) pieces of luggage.
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7. The number of sheep (S) that a dragon can eat per day is 3 plus a third of its wingspan in metres (w).

Write an expression to calculate how many sheep a dragon can eat in d days.
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