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Algebra and Equations Flashcards

6 cards from real IMO practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Algebra and Equations flashcards as text

  1. If 2(x + 3) = 18, what is x?

    Answer: 6

    2(x + 3) = 18 → x + 3 = 9 → x = 6.

  2. What is the product of (x + 2)(x + 3)?

    Answer: x² + 5x + 6

    (x + 2)(x + 3) = x² + 3x + 2x + 6 = x² + 5x + 6.

  3. Which value of x satisfies 3x > 12?

    Answer: x = 5

    3x > 12 → x > 4, so x = 5 is the only option greater than 4.

  4. If the area of a rectangle is 3x + 6 and one side is 3, what is the other side?

    Answer: x + 2

    Other side = (3x + 6) ÷ 3 = x + 2.

  5. What is the value of 4k² when k = 2?

    Answer: 16

    4k² = 4 × 2² = 4 × 4 = 16.

  6. Solve for n: n/3 + 4 = 10

    Answer: 18

    n/3 = 10 − 4 = 6 → n = 6 × 3 = 18.

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Sources & references

Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy

  1. imo-official.org — Test delivery, eligibility, passing score, test dates, exam format · verified Oct 2026
  2. imo2027.hu — Exam dates, registration deadline · verified Oct 2026