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Constructing Equations
Example A table top measures x cm by y cm. Write down an expression for its area, A.
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Example The sides of a rectangle are A cm and B cm. Write down an expression for the perimeter of the rectangle.
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Example A packet of chewing gum holds 8 sticks of gum. How many sticks are there in 3 packets 8 packets x packets?
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Example A classroom in the new building is designed to hold 35 pupils. How many pupils can be seated in 2 rooms 5 rooms R rooms?
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Example The number B is the sum of two numbers x and y. write down an expression for B.
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Example The cost of a pen is 9 pence. What is the cost of 3 pens 12 pens n pens?
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Example Alan is three years younger than his sister Fiona. If Fiona is y years old write down an expression for Alan’s Age. If Fiona’s mum is three times her age. Write down an expression for her age.
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Example The sum of three numbers is S and two of the numbers are a and b. What is the third number ?
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Example A pen and pencil together costs x pence, and a pen alone costs y pence. Find the cost of three pencils.
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Example The cost of a school outing to the theatre is £ C for the hire of the coach plus £5 per child for tickets Write down an expression for the cost of 20 children When n children attend the theatre the total cost is £ T Write a formula for T in terms of C and n.
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Example A bag of sweets is handed around the class and each student takes 4 sweets from the bag. If there are C people in the class, how many sweets are taken from the bag? If there are 5 sweets left in the bag, and there were S sweets in the bag at the start, write down a formula connecting S and C.
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