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Advanced Mathematics Flashcards

7 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 7 Advanced Mathematics flashcards as text

  1. What is the inverse of f(x) = 2x + 6?

    Answer: f⁻¹(x) = (x - 6)/2

    Swap and solve: x=2y+6 gives y=(x-6)/2.

  2. Simplify: (x² - 9)/(x - 3).

    Answer: x + 3

    Factor numerator (x-3)(x+3) and cancel to get x+3.

  3. What is the 5th term of an arithmetic sequence with first term 7 and common difference 3?

    Answer: 19

    aₙ = 7 + (5-1)·3 = 7+12 = 19.

  4. What is the period of y = sin(x)?

    Answer: 2π

    The basic sine function repeats every 2π.

  5. Solve the system: y = x + 1 and y = 2x - 3.

    Answer: (4, 5)

    Set equal: x+1=2x-3 gives x=4, y=5.

  6. What is 4! (4 factorial)?

    Answer: 24

    4! = 4·3·2·1 = 24.

  7. If the roots of a quadratic are 2 and -5, what is the quadratic?

    Answer: x² + 3x - 10

    (x-2)(x+5) = x²+3x-10.