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Paul buys three pens and one pencil for £11 while Sam buys four pens and two pencil for £16 - what is the price of pens and pencils?

Read the question and translate the information into equations.'Three pens and one pencil for £11' can be written as 3x + y = 11 where x = pens and y = pencils. 'Four pens and two pencils for £16' can be wri...
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Answered by Isabelle S. • Maths tutor
3152 Views

How do I solve a quadratic equation?

In a quadratic equation the highest power is 2. This means that we are looking for up to 2 answers. The first thing we are going to try to do is factorise the equation. We draw two sets of brackets side by s...
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Answered by Leszek W. • Maths tutor
3149 Views

Simplify (m-7)(m+3)/6(m+3)

Find the highest common factor between the brackets and then divide by this:in this case it is (m+3)so working out should look like this:(m-7)(m+3)/(m+3)/6(m+3)/(m+3)this will work out as:m-7/ 6
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Answered by Molly F. • Maths tutor
3384 Views

Fred is reshaping his garden. He decides to make into a right-angled triangle ABC. The length AB= 5m and the length BC= 12 What is the length of AC?

This is a question based on the application of Pythagoras. In the question a diagram of the triangle ABC will be provided and we would be able to see that we would need to work out the hypotenuse. Thus using...
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Answered by Amy B. • Maths tutor
2619 Views

On a graph, the lines with the equations y=x^2+5x+4 and y=-3x-8 meet at two distinct points. Find the coordinates of these meeting points.

y=x^2+5x+4 y=-3x-8 Equate the two equations: x^2+5x+4 = -3x-8Rearrange so that all values are on one side: x^2+8x+12=0 Factorise the equation by finding two values that multiply to give 12 and add together t...
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Answered by Keir H. • Maths tutor
3785 Views