Practice Test GeeksAMC 8 - American Mathematics Competition 8 Practice Test
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Algebra & Patterns Flashcards

6 cards from real AMC 8 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 & Patterns flashcards as text

  1. If 2^x = 32, what is x?

    Answer: 5

    2^5 = 32, so x = 5.

  2. Two numbers have a sum of 30 and a difference of 8. What is the larger number?

    Answer: 19

    Adding the two equations: 2x = 38, so x = 19 and y = 11.

  3. What is the sum of the first 10 positive integers?

    Answer: 55

    Using Gauss's formula: n(n+1)/2 = 10 × 11/2 = 55.

  4. What pattern does the sequence 1, 4, 9, 16, 25, … follow?

    Answer: Perfect squares

    The sequence is 1², 2², 3², 4², 5², … — the perfect squares of the positive integers.

  5. Solve for y: 4y/3 = 20.

    Answer: 15

    Multiplying both sides by 3: 4y = 60, so y = 15.

  6. What is the 100th term of the sequence 5, 8, 11, 14, …?

    Answer: 302

    a₁₀₀ = 5 + (100−1) × 3 = 5 + 297 = 302.