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Algebra and Functions Flashcards

6 cards from real AST 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 and Functions flashcards as text

  1. Which expression is equivalent to (3x + 2)(x - 5)?

    Answer: 3x² - 13x - 10

    FOIL: 3x² - 15x + 2x - 10 = 3x² - 13x - 10.

  2. If p(x) = 4x - 6, for what value of x does p(x) = 18?

    Answer: 6

    4x - 6 = 18 → 4x = 24 → x = 6.

  3. What is the vertex of the parabola y = x² - 6x + 5?

    Answer: (3, -4)

    x = -b/2a = 6/2 = 3. y = 9 - 18 + 5 = -4. Vertex: (3, -4).

  4. If 3(x + 2) = 2(x + 7), what is x?

    Answer: 8

    3x + 6 = 2x + 14 → x = 8.

  5. Two functions: f(x) = x² and g(x) = 3x - 2. At what positive x-values do they intersect?

    Answer: x = 1 and x = 2

    x² = 3x - 2 → x² - 3x + 2 = 0 → (x-1)(x-2) = 0. Intersections at x = 1 and x = 2.

  6. Which of the following is the inverse of f(x) = 2x + 6?

    Answer: f⁻¹(x) = (x - 6)/2

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

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Sources & references

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  1. bsss.act.edu.au — Eligibility, exam format, passing score · verified Oct 2026
  2. bsss.act.edu.au — Test delivery, late registration, retake policy · verified Oct 2026