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Algebra Fundamentals Flashcards

7 cards from real TSIA2 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Algebra Fundamentals flashcards as text

  1. Which value of x satisfies the equation 3(x - 4) = 2x + 1?

    Answer: x = 13

    Distributing gives 3x - 12 = 2x + 1, so x = 13.

  2. What is the slope of the line passing through (2, 5) and (6, 13)?

    Answer: 2

    Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

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

    Answer: x² - 2x - 15

    Using FOIL: x² - 5x + 3x - 15 = x² - 2x - 15.

  4. A car rental costs $30 per day plus $0.15 per mile. If Maria paid $67.50 for one day, how many miles did she drive?

    Answer: 250 miles

    0.15m = 67.50 - 30 = 37.50, so m = 250 miles.

  5. What is the y-intercept of the line 4x - 2y = 8?

    Answer: y = -4

    Solving for y: y = 2x - 4, so the y-intercept is -4.

  6. If f(x) = 2x² - 3x + 1, what is f(-2)?

    Answer: 15

    f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

  7. Which inequality represents 'twice a number decreased by 7 is at least 3'?

    Answer: 2n - 7 ≥ 3

    'Twice a number decreased by 7' translates to 2n - 7, and 'at least 3' means ≥ 3.

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