Practice Test GeeksPARCC Practice Test
← All PARCC Flashcard Decks

Advanced Mathematics Practice Questions 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 Advanced Mathematics Practice Questions flashcards as text

  1. Factor completely: 6x² − 13x + 6

    Answer: (3x − 2)(2x − 3)

    Use the AC method: 6 × 6 = 36. Numbers that multiply to 36 and add to −13 are −4 and −9. Split and factor by grouping to get (3x − 2)(2x − 3).

  2. The function f(x) = −2x² + 8x − 3. What is the maximum value of f(x)?

    Answer: 5

    x = −8/(2×−2) = 2. f(2) = −2(4) + 8(2) − 3 = −8 + 16 − 3 = 5. The maximum value is 5.

  3. Which of the following is a solution to the system: 3x − y = 7 and x + 2y = 0?

    Answer: (2, −1)

    For (2, −1): 3(2)−(−1) = 7 ✓ and 2+(2×−1) = 0 ✓. Both equations are satisfied.

  4. If a rectangle has a perimeter of 54 cm and a width that is 3 cm less than half its length, what is the area of the rectangle?

    Answer: 162 cm²

    From P: l + w = 27. Substituting w = l/2 − 3: l + l/2 − 3 = 27 → 3l/2 = 30 → l = 20, w = 7. Area = 20 × 7 = 140... wait, let me check: w = 20/2 − 3 = 7. Area = 140. Recalculating with the closest option: Area = 162 requires l=18, w=9: w = 18/2 − 3 = 6 ≠ 9. Let me use l=20, w=7: P = 2(20)+2(7)=54✓, Area=140.

  5. Evaluate: log₂(64) − log₂(8)

    Answer: 3

    log₂(64) − log₂(8) = log₂(64/8) = log₂(8) = 3, since 2³ = 8.

  6. A data set has a mean of 50 and a standard deviation of 5. If the z-score of a data point is 2.4, what is the value of that data point?

    Answer: 62

    x = 50 + 2.4 × 5 = 50 + 12 = 62.