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Mathematics Flashcards

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

Read the first 7 Mathematics flashcards as text

  1. A teacher graphs y = 2sin(3x). Compared to y = sin(x), what changes are made?

    Answer: Amplitude doubles, period is one-third as long

    The coefficient 2 doubles the amplitude to 2, while the coefficient 3 compresses the period to 2π/3.

  2. Which expression is equivalent to (2/3)⁻²?

    Answer: 9/4

    A negative exponent means take the reciprocal: (2/3)⁻² = (3/2)² = 9/4.

  3. Two lines are represented by y = 2x + 1 and y = -½x + 4. Which statement is true about these lines?

    Answer: They are perpendicular

    Their slopes are 2 and -½; since 2 × (-½) = -1, the lines are perpendicular.

  4. A box contains 4 red, 3 blue, and 5 green marbles. If one marble is selected at random, what is the probability it is NOT green?

    Answer: 7/12

    There are 12 marbles total and 7 non-green (4 red + 3 blue), so P(not green) = 7/12.

  5. When solving 3(x - 4) = 2x + 5, a student distributes first and gets 3x - 12 = 2x + 5. What is x?

    Answer: 17

    Subtracting 2x from both sides gives x - 12 = 5, so x = 17.

  6. Which of the following is the correct description of a function that is one-to-one?

    Answer: Every y-value corresponds to exactly one x-value

    A one-to-one function means each output value is produced by exactly one input value, which it passes the horizontal line test.

  7. A school surveys 200 students: 120 prefer math and 90 prefer science. If 40 prefer both, how many prefer neither?

    Answer: 30

    By inclusion-exclusion: |Math ∪ Science| = 120+90-40 = 170; those preferring neither = 200-170 = 30.