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Expand and simplify (3x + 5)(2x - 4)

We’ve got to remember that expand means to multiply out, so that word is really important because it tells us what operation to use. The order we multiply in can be remembered using the word FOILS, which sta...
JC
Answered by Jemima C. • Maths tutor
8323 Views

Work out the value of 2^14 ÷ (2^9)^2

2 14 ÷ (2 9 ) 2 = 2 14 ÷ 2 18 = 2 -4 = 1/(2 4 ) = 1/16 (9x2=18) (14-18=-4) (2 4 =2x2x2x2=16)
HG
Answered by Hannah G. • Maths tutor
8837 Views

Sketch the graph of y = 5 - 7x

The key points with graph sketching are to think about the shape of the curve, any turning points, and the intercepts with the y- and x- axes. This curve is linear in x, and is therefore a straight line (obv...
JA
Answered by Jonah A. • Maths tutor
3919 Views

Simplify the following algebraic fraction; (3x^2 - x - 2) / ((1/2)x + (1/3)).

First we need to factorise the numerator into two expressions. We can see one expression must start (3x + ?) and the other therefore must hold (x + ?), we know this because the two brackets must multiply tog...
BL
Answered by Bobbi L. • Maths tutor
4638 Views

How do you calculate arc length and sector area and why is it calculated like this? You are given sector angle 40 degrees and radius 7cm and asked to give answers to 3sf.

A sector represents a fraction of a circle. The fraction depends on the angle of the sector, X, and the total angle in a circle which is 360, such that the fraction is x/360. In this case the fraction is 40/...
PK
Answered by Peter K. • Maths tutor
6581 Views