Practice Test GeeksFTCE Practice Test
← All FTCE Flashcard Decks

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 student simplifies the expression (3x²y)(4xy³) and gets 12x³y⁴. Which property justifies combining the exponents?

    Answer: Product of powers property

    The product of powers property states that when multiplying like bases, you add the exponents (x² · x = x³ and y · y³ = y⁴).

  2. A teacher wants students to understand that √(a²+b²) ≠ a+b. Which counterexample best demonstrates this?

    Answer: a=3, b=4

    With a=3 and b=4: √(9+16)=√25=5, but 3+4=7, clearly showing 5≠7.

  3. Which of the following best describes the graph of f(x) = -2|x - 3| + 4?

    Answer: V-shaped, opens downward, vertex at (3,4)

    The negative coefficient makes the absolute value graph open downward, and the vertex is at (h,k)=(3,4).

  4. A rectangular garden has a perimeter of 54 feet and an area of 180 square feet. What are the dimensions?

    Answer: 12 ft × 15 ft

    Setting up 2(l+w)=54 and l·w=180 gives l+w=27; solving the system yields l=12 and w=15.

  5. What is the sum of the interior angles of a regular hexagon?

    Answer: 720°

    Using the formula (n-2)×180° with n=6 gives (6-2)×180°=4×180°=720°.

  6. A data set has a mean of 50 and a standard deviation of 5. Approximately what percentage of values fall between 40 and 60?

    Answer: 95%

    The range 40–60 spans 2 standard deviations on each side of the mean, so approximately 95% by the empirical rule.

  7. Which transformation maps triangle ABC onto triangle A'B'C' if every coordinate (x,y) becomes (-x, y)?

    Answer: Reflection over the y-axis

    Negating only the x-coordinate reflects the figure across the y-axis.