Practice Test Geeks(AFQT) Armed Forces Qualification Test Practice Test
← All AFQT Flashcard Decks

Mathematics Knowledge Advanced Flashcards

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

Read the first 6 Mathematics Knowledge Advanced flashcards as text

  1. What is the value of x in the equation 3x + 7 = 22?

    Answer: 5

    Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5. Always isolate the variable by performing inverse operations.

  2. What is the area of a triangle with a base of 10 inches and a height of 6 inches?

    Answer: 30 square inches

    Area of a triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30 square inches. A triangle's area is always half of the corresponding rectangle.

  3. If a circle has a radius of 7 cm, what is its circumference? (Use π ≈ 3.14)

    Answer: 43.96 cm

    Circumference = 2πr = 2 × 3.14 × 7 = 43.96 cm. The circumference formula uses the radius multiplied by 2π (or equivalently, π times the diameter).

  4. What is the slope of a line that passes through points (2, 3) and (6, 11)?

    Answer: 2

    Slope = (y₂ - y₁)/(x₂ - x₁) = (11 - 3)/(6 - 2) = 8/4 = 2. The slope represents the rate of change in y for each unit change in x.

  5. Simplify: (x³)(x⁴)

    Answer: x⁷

    When multiplying powers with the same base, add the exponents: x³ × x⁴ = x^(3+4) = x⁷. This is the product rule for exponents.

  6. What is the solution set for the inequality 2x - 5 > 9?

    Answer: x > 7

    Add 5 to both sides: 2x > 14. Divide both sides by 2: x > 7. Solving inequalities follows the same steps as equations, except the sign flips when multiplying or dividing by a negative.