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ASVAB Mathematics: Algebra and Number Operations Flashcards

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

Read the first 7 ASVAB Mathematics: Algebra and Number Operations flashcards as text

  1. Solve the inequality: 2x + 3 < 11

    Answer: x < 4

    Subtract 3 from both sides to get 2x < 8, then divide by 2 to get x < 4.

  2. What is the value of |−15| + |−7|?

    Answer: 22

    Absolute value makes both numbers positive: 15 + 7 = 22.

  3. A number is multiplied by 4 and then 6 is added. The result is 30. What is the number?

    Answer: 6

    Let the number be n; 4n + 6 = 30 → 4n = 24 → n = 6.

  4. Which expression equals 2x² when x = 3?

    Answer: 18

    2x² = 2 × (3²) = 2 × 9 = 18; note that the exponent applies to x, not to 2.

  5. What is the prime factorization of 36?

    Answer: 2² × 3²

    36 = 2 × 18 = 2 × 2 × 9 = 2 × 2 × 3 × 3 = 2² × 3².

  6. If a car travels at 60 miles per hour, how far will it travel in 2.5 hours?

    Answer: 150 miles

    Distance = rate × time = 60 × 2.5 = 150 miles.

  7. Simplify: (3x)(4x²)

    Answer: 12x³

    Multiply coefficients (3 × 4 = 12) and add exponents (x¹ × x² = x³) to get 12x³.