Expression Equivalence Game
Find algebraically equivalent expressions by distributing parentheses and combining constants.
Math puzzle challenges
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Instructions, device progress and accessibility
Select Easy, Normal, or Hard; choose a UTC Daily challenge or unlimited Practice. Solve every algebra problem, then press Check answer. Hints and Undo mark the round as assisted. Scores and completed challenges save locally on your device when available.
Local progress is checked when play begins.
How to play Expression Equivalence
Find algebraically equivalent expressions by distributing parentheses and combining constants. Start with Easy and move toward Hard when confident. Enter exact answers, including negative values where needed. Use your keyboard or touch controls, and check the answer before requesting a hint.
Understand the mathematics
3(x + 4) − 5 = 3x + 12 − 5 = 3x + 7. Only the matching expression is equivalent for all values of x.
Each practice puzzle generates a new set of algebra questions. The daily challenge is consistent for the same date and difficulty, allowing fair repeat practice.
Worked example
3(x + 4) − 5 = 3x + 12 − 5 = 3x + 7. Only the matching expression is equivalent for all values of x.
Tips for accurate algebra
Distribute the outer multiplier to every term inside the parentheses. Combine constants only after distribution. Check negative values, follow order of operations, and verify the solution against the question.
Frequently asked questions
What makes two expressions equivalent?
Their values match for every allowed variable input, not just one chosen value.
Should I distribute over negative terms?
Yes. A negative multiplier changes the signs of each term inside the parentheses.