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Simplifying expressions such as $b^{\log_b(x)}$ and $b^{\log_b(x)}$.

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poles of a transfer function

multiple choice testing sin, cos, tan of angles that are negative or greater than 360 degrees that result in nice exact values. 

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. 

set up x- and y axises.

set linear equations and solve the simulatenous equations.

Solving a Linear and a Non-linear system of equations

Solve a system of three simultaneous linear equations

Solve a logarithmic equation

Solve an exponential equation

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.

Students seem to struggle with Sigma notation, this is a simple question to ensure they understand the index can change without affecting the sum.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

This question tests learner's knowledge of the inverse matrix method for a 3x3 matrix.

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Solving for a geometric series

Solving for a geometric series

Solving for a geometric series

Find the sum of the first n terms of a Geometric progression

Find the nth term of a Geometric progression

Find the sum of the first n terms of an arithmetic progression