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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. If h(x) = x³ - 4x, what is h(-2)?

    Answer: 0

    h(-2) = (-2)³ - 4(-2) = -8 + 8 = 0.

  2. For which values of x is 2x² - 8 = 0?

    Answer: x = ±2

    2x² = 8 → x² = 4 → x = ±2.

  3. Line m passes through (1, 3) and (4, 9). What is its slope?

    Answer: 2

    Slope = (9 - 3)/(4 - 1) = 6/3 = 2.

  4. If f(x) = 5x - 1 and g(x) = x + 4, what is f(g(3))?

    Answer: 34

    g(3) = 3 + 4 = 7. f(7) = 5(7) - 1 = 34.

  5. Solve the inequality: 3x - 5 > 10.

    Answer: x > 5

    3x > 15 → x > 5.

  6. What is the y-intercept of the line 5x + 2y = 14?

    Answer: 7

    Set x = 0: 2y = 14 → y = 7.

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Sources & references

Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy

  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