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NBT Algebra and Functions 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 Algebra and Functions flashcards as text

  1. Simplify: (3a²b)(4ab³)

    Answer: 12a³b⁴

    Multiply the coefficients: 3 × 4 = 12. Add the exponents for like bases: a²⁺¹ = a³ and b¹⁺³ = b⁴. The result is 12a³b⁴.

  2. If f(x) = 3x - 1 and g(x) = x + 4, find f(g(2)).

    Answer: 17

    First find g(2) = 2 + 4 = 6. Then f(6) = 3(6) - 1 = 17. Composite functions are evaluated from the inside out.

  3. For which value of k does the equation x² + kx + 9 = 0 have equal roots?

    Answer: k = 6 or k = -6

    For equal roots, the discriminant must be zero: b² - 4ac = 0. So k² - 4(1)(9) = 0, giving k² = 36, therefore k = ±6.

  4. Solve the inequality: 2x - 5 > 3

    Answer: x > 4

    Add 5 to both sides: 2x > 8. Then divide by 2: x > 4. The inequality sign stays the same since we divided by a positive number.

  5. What are the roots of x² - 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factorise: (x - 2)(x - 3) = 0. Setting each factor to zero gives x = 2 and x = 3. We can verify: 2 + 3 = 5 and 2 × 3 = 6.

  6. If f(x) = x² - 4x, what is the axis of symmetry of the parabola?

    Answer: x = 2

    The axis of symmetry for y = ax² + bx + c is x = -b/(2a). Here a = 1 and b = -4, so x = -(-4)/(2×1) = 4/2 = 2.