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Algebra Practice Test Flashcards

6 cards from real PARCC 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 Practice Test flashcards as text

  1. Which of the following represents the graph of y = |x − 2| + 1?

    Answer: A V-shaped graph with vertex at (2, 1)

    y = |x − 2| + 1 has the vertex at (2, 1): the graph shifts 2 units right and 1 unit up from y = |x|.

  2. For what value of k does the system 2x + ky = 8 and 4x + 6y = 16 have infinitely many solutions?

    Answer: k = 3

    Multiply the first equation by 2: 4x + 2ky = 16. For this to match 4x + 6y = 16, we need 2k = 6, so k = 3.

  3. The sum of three consecutive odd integers is 57. What is the largest integer?

    Answer: 21

    n + (n+2) + (n+4) = 57 → 3n + 6 = 57 → n = 17. Largest = 17 + 4 = 21.

  4. Which expression represents the product (2x + 5)(2x − 5)?

    Answer: 4x² − 25

    (2x + 5)(2x − 5) = (2x)² − (5)² = 4x² − 25.

  5. A train leaves Station A traveling at 80 mph. Two hours later, a second train leaves the same station traveling in the same direction at 100 mph. How many hours after the second train departs will it catch up to the first train?

    Answer: 8 hours

    80(t + 2) = 100t → 80t + 160 = 100t → 160 = 20t → t = 8 hours after the second train departs.

  6. If f(x) = 3x − 1 and g(x) = x² + 2, find f(g(2)).

    Answer: 17

    g(2) = 2² + 2 = 6. Then f(6) = 3(6) − 1 = 17.