5 results authored by Jo Cohen - search across all users.

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• Question

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

• Question

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

• Question

Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

• Question

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve.

• Question

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.