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Algebra Flashcards

7 cards from real CHSPE 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 flashcards as text

  1. If 3(x - 4) = 2x + 1, what is the value of x?

    Answer: 13

    Distribute to get 3x - 12 = 2x + 1, then x = 13.

  2. Which inequality is represented by the statement 'twice a number decreased by 5 is at least 11'?

    Answer: 2n - 5 ≥ 11

    'At least' means greater than or equal to, giving 2n - 5 ≥ 11.

  3. What is the slope of the line passing through (-2, 3) and (4, -9)?

    Answer: -2

    Slope = (-9 - 3)/(4 - (-2)) = -12/6 = -2.

  4. Factor completely: x² - 9

    Answer: (x + 3)(x - 3)

    x² - 9 is a difference of squares: (x + 3)(x - 3).

  5. A train travels at 60 mph. How long does it take to travel 210 miles?

    Answer: 3.5 hours

    Time = Distance ÷ Rate = 210 ÷ 60 = 3.5 hours.

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

    Answer: 6

    f(-1) = 2(1) - 3(-1) + 1 = 2 + 3 + 1 = 6.

  7. What is the solution set of |2x - 6| = 10?

    Answer: x = 8 or x = -2

    2x - 6 = 10 gives x = 8; 2x - 6 = -10 gives x = -2.