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Standards Flashcards

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

Read the first 7 Standards flashcards as text
  1. Simplify: (3x²y)(4xy³)

    Answer: 12x³y⁴

    Multiply coefficients: 3·4=12; add exponents: x²·x=x³, y·y³=y⁴.

  2. What are the solutions to x² + 5x + 6 = 0?

    Answer: x = -2 and x = -3

    Factor: (x+2)(x+3) = 0, so x = -2 or x = -3.

  3. Which expression represents the area of a circle with radius r+1?

    Answer: π(r+1)²

    Area = πR² where R = r+1, so Area = π(r+1)².

  4. Convert 135° to radians.

    Answer: 3π/4

    135 × (π/180) = 135π/180 = 3π/4.

  5. Which of the following is equivalent to sin²θ + cos²θ?

    Answer: 1

    The Pythagorean identity states sin²θ + cos²θ = 1 for all θ.

  6. If a triangle has sides 3, 4, and 5, what type of triangle is it?

    Answer: Right triangle

    3² + 4² = 9 + 16 = 25 = 5², so by the Pythagorean theorem it is a right triangle.

  7. What is the value of the expression 4! / 2! ?

    Answer: 12

    4! = 24 and 2! = 2, so 24/2 = 12.