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Maths

GCSE

How to convert worded problems to solvable inequalities.

Note that in September I am due to start as a trainee maths teacher . For my interview, I taught a lesson on inequalities to a class of GCSE pupils. In particular, we focused on converting worded problems...

Answered by Francesca W. • Maths tutor

1906 Views

Why do you times the reciprocal of the second fraction by the first when dividing fractions.

Let's use an analogy here where divide means share/split. If you share 1 pizza between a couple of 2 people, they will each end up with a half. Now lets try picture the reverse slowly.You have a couple of...

Answered by Saleh G. • Maths tutor

2043 Views

Evaluate 25^(3/2) giving your answer as an integer or simplified fraction (2 marks).

Evaluate just means "write this number in a different form/ find the answer". ( Step 1) break down the indices (power) to an integer and fraction (2 parts) eg: 25^3/2= 25^{3 * 1/2}

Answered by Saleh G. • Maths tutor

12858 Views

Write the equation x^2 + 6x - 40 = 0 in the form (x + a)^2 - b = 0 and then solve for x

(x² + 6x + 9) - 49 = 0
(x + 3)2 - 49 = 0

then to solve

(x + 3)² = 49
x + 3 = +-7
x = -10 or x = 4

Answered by Darragh S. • Maths tutor

3303 Views

Solve the equation 2x^2 + 3x = 9

2x² + 3x = 92x² + 3x - 9 = 0(2x - 3)(x+3)2x-3 = 02x = 3x = 3/2x+3=0x=-3x = 3/2 or -3

Answered by Sean N. • Maths tutor

2871 Views

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