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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. Solve for x: 3x + 7 = 22

    Answer: x = 5

    Subtract 7 from both sides to get 3x = 15, then divide both sides by 3. This gives x = 5.

  2. What is the value of f(3) if f(x) = 2x² - 4x + 1?

    Answer: 7

    Substitute x = 3: f(3) = 2(9) - 4(3) + 1 = 18 - 12 + 1 = 7. Careful substitution into the quadratic function gives the correct value.

  3. Which of the following represents a linear function?

    Answer: y = 4x - 2

    A linear function has the form y = mx + c, where the variable x has an exponent of 1. Only y = 4x - 2 fits this form, with m = 4 and c = -2.

  4. If 2(x - 3) + 5 = 3(x + 1), what is x?

    Answer: -4

    Expand: 2x - 6 + 5 = 3x + 3, simplify: 2x - 1 = 3x + 3, so -1 - 3 = 3x - 2x, giving x = -4.

  5. What is the gradient (slope) of the line 3y - 6x = 12?

    Answer: 2

    Rearrange to y = mx + c form: 3y = 6x + 12, so y = 2x + 4. The gradient is the coefficient of x, which is 2.

  6. Factorise completely: x² - 9

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

    This is a difference of two squares: x² - 9 = x² - 3². The formula a² - b² = (a + b)(a - b) gives (x + 3)(x - 3).