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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 f(x) = 3x² - 2x + 5, what is f(4)?

    Answer: 45

    f(4) = 3(16) - 2(4) + 5 = 48 - 8 + 5 = 45.

  2. What are the solutions to x² - 7x + 12 = 0?

    Answer: x = 3 and x = 4

    Factor: (x - 3)(x - 4) = 0, so x = 3 or x = 4.

  3. If 4x - 7 = 2x + 11, what is the value of x?

    Answer: 9

    4x - 2x = 11 + 7 → 2x = 18 → x = 9.

  4. Which of the following represents the slope-intercept form of 6x - 2y = 10?

    Answer: y = 3x - 5

    Solve for y: -2y = -6x + 10 → y = 3x - 5.

  5. A function is defined as g(x) = 2x + 3. What is g(g(2))?

    Answer: 17

    g(2) = 2(2) + 3 = 7. Then g(7) = 2(7) + 3 = 17.

  6. What is the value of x in the equation √(2x + 6) = 8?

    Answer: 29

    Square both sides: 2x + 6 = 64 → 2x = 58 → x = 29.

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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