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8x – 7 > 6x + 12

Do not be daunted by the greater than sign. Just think of it like an equals sign. Remember, the key is to get the 'x' on its own. Collect the like terms as you normally would. As per convention, start with t...
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Answered by Ashley H. • Maths tutor
7222 Views

Simplify and solve the following equation: x^2 -8x +15=0

Simplify the equation first by putting the x^2 into brackets. I do this by finding two values that both multiply to get 15 and add to get -8. I can see that -3 and -5 fit this criteria, but i could easily go...
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Answered by Amira B. • Maths tutor
4898 Views

There are "n" sweets in a bag, six are orange and the rest are yellow. If you take a random sweet from the bag and eat it. Then take at random another one and eat it. The probability of eating two orange sweets is 1/3. Show that n²-n-90=0.

We have: n= total of sweets 6= orange sweets (6-n)=yellow sweets (We use 6-n beacuse we know that if 6 sweets are orange, the rest must be yellow, so yellow sweets= (total of sweets-orange sweets)) If the pr...
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Answered by Raquel L. • Maths tutor
5818 Views

The perimeter of a square is sqrt(120) cm, what is the area?

A square is a shape with 4 equal lengthed sides. The perimeter is the sum of the lengths of the sides. Therefore for a square, the length of one side is a quarter of the perimeter. In this example the perime...
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Answered by Harry M. • Maths tutor
17444 Views

Draw the graph of x^3 + x^2 - 6x

This is a cubic curve because the highest power to which x is being raised is 3. Cubic curves with addition x^2 and x terms often have a distinctive shape - sort of like a capital 'N' drawn using curves. So,...
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Answered by George H. • Maths tutor
4284 Views