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studyAlgebra
CoreMaths revision

Algebraic Fractions

Simplify and combine rational expressions while tracking excluded values.

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Focus points
✓Factor before cancelling.
✓Use common denominators.
✓State restrictions on variables.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · simplifying rational expressions
Simplify (x²−9)/(x²−3x), stating restrictions.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · simplification
Simplify (2x²+6x)/(4x), stating restrictions.
Question 3FluencyCore
Original practice · Free Online Revision
Skill · adding rational expressions
Calculate 3/x + 2/(x+1) as a single fraction.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · subtracting rational expressions
Simplify 1/(x−2) − 1/(x+2).
Question 5ReasoningStretch
Original practice · Free Online Revision
Skill · multiplying rational expressions
Simplify [(x²−4)/(x²+x−6)] × [(x−3)/(x+2)].
Question 6FluencyCore
Original practice · Free Online Revision
Skill · rational equation
Solve 2/x = 3/(x+4).
Question 7ReasoningCore
Original practice · Free Online Revision
Skill · misconception
Why is cancelling the x in (x+3)/x invalid?
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · rational equation
Solve 1/(x−1) + 1/(x+1) = 1.