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Quantitative Reasoning: Algebra Flashcards

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

Read the first 6 Quantitative Reasoning: Algebra flashcards as text

  1. Find the value of x: x/4 + 3 = 7

    Answer: 16

    x/4 + 3 = 7 → x/4 = 4 → x = 16.

  2. If a = 2, b = -3, what is the value of a² + b² - 2ab?

    Answer: 25

    a² + b² - 2ab = (a-b)² = (2-(-3))² = 5² = 25.

  3. What is the product of (x + 3)(x - 3)?

    Answer: x² - 9

    Using the identity (a+b)(a-b) = a² - b²: (x+3)(x-3) = x² - 9.

  4. Solve the simultaneous equations: x + y = 10 and x - y = 4

    Answer: x=7, y=3

    Adding both equations: 2x = 14, so x = 7. Substituting: 7 + y = 10, so y = 3.

  5. If 4^x = 64, what is the value of x?

    Answer: 3

    64 = 4³, so 4^x = 4³, therefore x = 3.

  6. What is the LCM of 12 and 18?

    Answer: 36

    LCM of 12 and 18: 12 = 2² × 3, 18 = 2 × 3². LCM = 2² × 3² = 36.