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Math Flashcards

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

Read the first 7 Math flashcards as text

  1. If 3x - 7 = 2x + 5, what is the value of x?

    Answer: 12

    Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

  2. A quadratic equation x² - 5x + 6 = 0 has roots at:

    Answer: x = 2 and x = 3

    Factor as (x - 2)(x - 3) = 0, giving roots x = 2 and x = 3.

  3. What is the slope of the line passing through (2, 3) and (6, 11)?

    Answer: 2

    Slope = (11 - 3) / (6 - 2) = 8 / 4 = 2.

  4. Which value of x satisfies |2x - 4| = 10?

    Answer: x = 7 or x = -3

    Set 2x - 4 = 10 (x = 7) and 2x - 4 = -10 (x = -3), yielding two solutions.

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

    Answer: 6

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

  6. The system of equations y = 2x + 1 and y = -x + 7 intersects at:

    Answer: (2, 5)

    Set 2x + 1 = -x + 7, giving 3x = 6, x = 2, y = 5.

  7. If a = 3 and b = -2, what is the value of a² - 2ab + b²?

    Answer: 25

    a² - 2ab + b² = (a - b)² = (3 - (-2))² = 5² = 25.