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Mathematics Knowledge Flashcards

7 cards from real AFCT 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 Knowledge flashcards as text

  1. What is the value of x if 2x + 6 = 18?

    Answer: x = 6

    Subtracting 6 from both sides gives 2x = 12, then dividing by 2 yields x = 6.

  2. Which of the following is the correct factorization of x² - 9?

    Answer: (x + 3)(x - 3)

    x² - 9 is a difference of squares, which factors as (x + 3)(x - 3).

  3. If 3y - 4 = 2y + 7, what is the value of y?

    Answer: y = 11

    Subtracting 2y from both sides gives y - 4 = 7, then adding 4 gives y = 11.

  4. What is the slope of the line represented by y = 3x - 5?

    Answer: 3

    In slope-intercept form y = mx + b, the coefficient of x is the slope, which is 3.

  5. Simplify: (3x²)(4x³)

    Answer: 12x⁵

    Multiply the coefficients (3 × 4 = 12) and add the exponents (2 + 3 = 5) to get 12x⁵.

  6. What is the value of 5! (5 factorial)?

    Answer: 120

    5! = 5 × 4 × 3 × 2 × 1 = 120.

  7. Solve for x: x/4 + 3 = 7

    Answer: x = 16

    Subtracting 3 from both sides gives x/4 = 4, then multiplying both sides by 4 gives x = 16.