Algebra

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Fractions already have a common denominator. Addition and subtraction 50:50 split. Students shouldn't have to worry about reducing fractions by design.

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Questions to test if the student knows the inverse of an even power (and how to solve equations that contain a single power that is even). 

Questions to test if the student knows the inverse of an odd power (and how to solve equations that contain a single power that is odd). 

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A very simple algebraic fraction multiplied by a whole number. No cancelling is required by design. 

A whole number divided by a very simple algebraic fraction. No cancelling is required by design.

Multiply two algebraic fractions (unfortunately their appearance doesn't really change) and cancel. 

A simple algebraic fraction dividing by another. Cancelling is recommended.

Fractions don't have a common denominator. Need to find one. Addition and subtraction 50:50 split.