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NBT Mathematics Proficiency 2 Flashcards

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

Read the first 6 NBT Mathematics Proficiency 2 flashcards as text

  1. Solve for x: 3x - 7 = 14

    Answer: x = 7

    3x = 14 + 7 = 21. x = 21 ÷ 3 = 7.

  2. Factorise: x² - 9

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

    x² - 9 is a difference of squares: a² - b² = (a - b)(a + b). Here, a = x and b = 3. Result: (x - 3)(x + 3).

  3. What is the gradient (slope) of the line passing through (2, 3) and (6, 11)?

    Answer: 2

    Gradient = (y₂ - y₁) / (x₂ - x₁) = (11 - 3) / (6 - 2) = 8 / 4 = 2.

  4. Simplify: (2x³)(3x²)

    Answer: 6x⁵

    Multiply coefficients: 2 × 3 = 6. Add exponents: x³ × x² = x⁵. Result: 6x⁵.

  5. A quadratic equation has roots x = 2 and x = -5. Which equation matches?

    Answer: x² + 3x - 10 = 0

    With roots r₁ = 2 and r₂ = -5: sum = -3, product = -10. Equation: x² - (sum)x + product = x² + 3x - 10 = 0.

  6. Evaluate: 2³ + 3² - 4¹

    Answer: 13

    2³ = 8. 3² = 9. 4¹ = 4. Result: 8 + 9 - 4 = 13.