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Simplify: 5x + 8y - 3x + 9y

When you first come across algebra, it may be a bit tricky to get your head around as it involves more abstract concepts than we may have previously seen in maths. However, once you understand the basic prin...
KS
Answered by Katharine S. • Maths tutor
4196 Views

Write sqrt(75) in simplified surd form.

First you want to find a square number that is a factor of 75. In this case it is 25, as 25 x 3 = 75 . With this information you can expand the surd into:sqrt(25) x sqrt(3) As 5^2 = 25, this can become:5 x s...
KG
Answered by Kate G. • Maths tutor
7622 Views

Here are three expressions. b/a, a – b, and ab. When a = 2 and b = -6, which expression has the smallest value?

b/a = -6 / 2 = -3 ......... a - b = 2 - (-6) = 8 ............ ab = 2 x -6 = -12 ...............Therefore ab , -12, has the smallest value.
TM
Answered by Tara M. • Maths tutor
5968 Views

Factorise x^2 +7x +10

First, you need to look at the x 2 term and the number 10 - find all the factors of these numbersThe number before x 2 is 1, and since 1 is a prime number, the only factor is 1. 1=1x1As for the number 10: 10...
SA
Answered by Sophie A. • Maths tutor
4593 Views

Consider the right angled triangle with vertices labelled a, b, c. Angle A = 60°, Angle B = 90°, length ab=4cm, length ac=xcm. If cos60° = 0.5, work out the value of x.

The first thing to do in such a question is to draw out the information you have been given. Not only does this help to process the question again, so that no vital information is missed, but also makes it a...
RR
Answered by Rebecca R. • Maths tutor
5519 Views