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Equations

Ran through the 3 different types of GCSE equations

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Answered by Oscar M. • Maths tutor

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Nadia has £5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change I will buy more pencils.” How many pencils and how many rulers does she buy?

Given that x(a+bx)(a-bx)=25x-4x^3, what is the value of b^(-a)? a,b>0

Find the coordinates of the point of intersection of the lines 2x + 3y = 12 and y = 7 - 3x.

The hypotenuse of a triangle is 10m and another side is 8m. What is the length of side x?

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