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 x + y = 10 and x − y = 4, what is x × y?

    Answer: 21

    Adding the equations gives 2x = 14, so x = 7 and y = 3; then x × y = 21.

  2. What is the 8th term of the geometric sequence 2, 6, 18, 54, …?

    Answer: 4374

    a₈ = 2 × 3^(8−1) = 2 × 2187 = 4374.

  3. Evaluate (2x − 3)² when x = 4.

    Answer: 25

    2(4) − 3 = 5, and 5² = 25.

  4. The sum of three consecutive integers is 75. What is the largest of the three?

    Answer: 26

    With integers n, n+1, n+2: 3n + 3 = 75 gives n = 24, so the largest is 26.

  5. Simplify: 3(2x + 4) − 2(x − 1).

    Answer: 4x + 14

    6x + 12 − 2x + 2 = 4x + 14.

  6. A sequence follows the rule: each term is 3 less than twice the previous term. If the first term is 5, what is the 4th term?

    Answer: 19

    t₁ = 5, t₂ = 2(5)−3 = 7, t₃ = 2(7)−3 = 11, t₄ = 2(11)−3 = 19.