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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 p...

KS
Answered by Katharine S. Maths tutor
4085 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 beco...

KG
Answered by Kate G. Maths tutor
7163 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
5810 Views

Factorise x^2 +7x +10

First, you need to look at the x2 term and the number 10 - find all the factors of these numbersThe number before x2 is 1, and since 1 is a prime number, the only factor is 1. 1=1x1A...

SA
Answered by Sophie A. Maths tutor
4402 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,...

RR
Answered by Rebecca R. Maths tutor
5312 Views

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