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Maths
GCSE

Simplify : 4(x+5) / x^2+2x-15

Firstly, remember to factorise!
x^2+2x-15 = (x+5)(x-3)
∴ the numerator and denominator now both share a common term "(x+5)", so they can cancel one another out, leaving the answer as :...

Answered by Sohum P. Maths tutor
4711 Views

Work out: 0.7 + 3/5

Show 3/5 as a decimal: 0.6
0.7 + 0.6 = 1.3
OR
Show 0.7 as a fraction: 7/10
Find a common denominator: 3/5 = 6/107/10 + 6/10 = 13/10 or 1 and ...

Answered by Edward B. Maths tutor
3394 Views

Solve the following simultaneous equations: 2x + 2y = 14; 4x - 2y = 10

By Elimination:
We can add the equations together because +2y and -2y will cancel out: 2x + 4x = 14 + 10
This gives 6x = 24, so x = 4
We can put x back int...

Answered by Edward B. Maths tutor
3703 Views

A quadrilateral has a perimeter of 42cm. Three sides have equal length and the fourth side is longer by 6cm. What is the length of the fourth side?

We can call the sides of the equal lengths "x".
We can then make an equation to satisfy the relationship between the perimeter and the length of the sides as follows:
x + x + x + (x + ...

Answered by Edward B. Maths tutor
2194 Views

135 is 3/8 of a number. Work out the number.

Divide 135 by 3/8 OR multiply 135 by 8/3
135 * 8/3 = 360
You can do this in steps by starting with:
135/3 = 45, then multiply by 8.
OR
135 * 8 = 1080, then divid...

Answered by Edward B. Maths tutor
4679 Views

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