Algebraic expressions

Recognize equivalent expressions by collecting terms, factoring, using exponent rules and preserving domain restrictions.

Example

Example

Example · Standard

Choose an equivalent expression with every original domain restriction.

Use real xx wherever the original expression is defined.

(x+5)⋅(x+14)x+14\frac{\left(x + 5\right) \cdot \left(x + 14\right)}{x + 14}

Factor quadratics, recognize identities, interpret negative powers and cancel factors.

6 questions · No time limit

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Choose the complete answer. Work at your own pace, then review the reasoning.

Help

Six questions per round. Challenge draws from eight families, so repeat rounds to meet different cases. Every answer has a worked explanation.

Each round has six questions and no time limit. Choosing an answer locks it. Review the steps, then move to the next question. Finish all six to save the round. Active time includes reviewing the steps, but does not count time when this page is hidden. Speed does not affect your score.

Use Tab and Enter or Space to choose an answer. The number keys also select answers, except when another control is focused. After an answer, Enter goes to the next question.

Original practice puzzles, not a standardized assessment.

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Recognize equivalent expressions by collecting terms, factoring, using exponent rules and preserving domain restrictions.

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