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NSAA Mathematics - Algebra and Functions Flashcards

6 cards from real NSAA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 NSAA Mathematics - Algebra and Functions flashcards as text
  1. Solve for x: 3x - 7 = 14

    Answer: x = 7

    3x = 21, so x = 7.

  2. Which of the following is a factor of x² - 5x + 6?

    Answer: (x - 2)

    x² - 5x + 6 = (x-2)(x-3), so (x-2) is a factor.

  3. If f(x) = 2x² - 3, what is f(4)?

    Answer: 29

    f(4) = 2(16) - 3 = 32 - 3 = 29.

  4. Solve: 2x + 3y = 12 and x - y = 1 simultaneously. What is y?

    Answer: 2

    From x = y+1, substituting: 2(y+1)+3y=12 → 5y=10 → y=2.

  5. What is the discriminant of 2x² - 4x + 2 = 0?

    Answer: 0

    Discriminant = b² - 4ac = 16 - 4×2×2 = 16-16 = 0.

  6. If g(x) = 3x + 1, what is g⁻¹(x)?

    Answer: (x-1)/3

    Set y = 3x+1, swap x and y: x = 3y+1, so y = (x-1)/3.

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