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How do you break down a wordy question (e.g. Aled has three concrete slabs. Two slabs square, of length x, & the third rectangular of dimensions 1m & x+1m. Show 2x^2 +x-6=0 & Solve this)

Start off by taking a breather. Let's break this down into the components of the problem, in this case the three slabs (a,b,c)Aa=lh=xx=x2Ab=Aa=x2...

GM
Answered by Gwynfor M. Maths tutor
2790 Views

Solve the simultaneous equations: a) 2x + y = 18, b) x - y = 6

Notice we have two different equations but that 'x' and 'y' take the same value in both equation a and equation b. In order how to work out what values they take we need to combine the two different equat...

RC
Answered by Rebecca C. Maths tutor
3031 Views

The sides of an equilateral triangle are given by the expressions x+y, 2y-1 and 3y-2x+1. Find the values of x and y.

This question test knowledge of the geometry of equilateral triangles and the students ability to solve linear equations.
First we note that an equilateral triangle has equal sides. Then we can write...

JS
Answered by Joe S. Maths tutor
7375 Views

Factorise fully 2x^2 -x -4=2 and thus solve for x

Recall that to solve a quadratic it needs to be in the form ax2 + bx +c = 0, Subtract 2 from each side to get 2x2-x-6=0 therefore a=2 b=-1 and c=-6 Solve by considering factors c and...

LS
Answered by Lucy S. Maths tutor
2497 Views

A = {multiples of 5 between 14 and 26}. B = {odd numbers between 14 and 26}. List the members of A∪B and A∩B.

First write down explicitly what the elements of A and B are.A={15,20,25}, B={15,17,19,21,23,25}.
Remember ∪ means OR. So A ∪ B is the set of items which are in either A OR B. This is {15,17,19,21,23...

LP
Answered by Luke P. Maths tutor
14488 Views

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