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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 presents the inequality -3x > 12. Students must solve for x. What is the correct solution?

    Answer: x < -4

    Dividing both sides by -3 requires flipping the inequality symbol, yielding x < -4.

  2. The volume of a cone is given by V = (1/3)πr²h. If the radius is doubled and the height remains the same, how does the volume change?

    Answer: It quadruples

    Since V depends on r², doubling r multiplies r² by 4, so the new volume is 4 times the original.

  3. Which of the following is a geometric sequence?

    Answer: 3, 6, 12, 24, 48

    In the sequence 3, 6, 12, 24, 48, each term is multiplied by a constant ratio of 2.

  4. Two supplementary angles are in the ratio 2:3. What is the measure of the larger angle?

    Answer: 108°

    Supplementary angles sum to 180°; with ratio 2:3, the angles are 2/5×180°=72° and 3/5×180°=108°.

  5. A student is asked to find the slope of a line passing through (-2, 5) and (4, -1). What is the slope?

    Answer: -1

    Slope = (y₂−y₁)/(x₂−x₁) = (-1−5)/(4−(-2)) = -6/6 = -1.

  6. Which number is irrational?

    Answer: √7

    √7 cannot be expressed as a ratio of integers and its decimal form is non-repeating and non-terminating.

  7. A teacher asks students to identify which property justifies: if 5 = x, then x = 5. Which property applies?

    Answer: Symmetric property of equality

    The symmetric property states that if a = b, then b = a, which allows reversing the sides of an equation.