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Math Algebra and Functions Flashcards

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

Read the first 6 Math Algebra and Functions flashcards as text

  1. Factor the expression x² − 9.

    Answer: (x + 3)(x − 3)

    x² − 9 is a difference of squares: (x + 3)(x − 3).

  2. If f(x) = 2x + 5, what is f(−3)?

    Answer: -1

    f(−3) = 2(−3) + 5 = −6 + 5 = −1.

  3. Solve the system: x + y = 8 and x − y = 2.

    Answer: x = 5, y = 3

    Adding equations: 2x = 10, x = 5; then y = 8 − 5 = 3.

  4. What is the y-intercept of the line 3x + 2y = 12?

    Answer: 6

    Set x = 0: 2y = 12, y = 6, so the y-intercept is 6.

  5. Simplify: 3x² + 5x − 2x² + x

    Answer: x² + 6x

    Combine like terms: (3x² − 2x²) + (5x + x) = x² + 6x.

  6. Which of the following is a solution to x² − 5x + 6 = 0?

    Answer: x = 2

    x² − 5x + 6 = (x − 2)(x − 3) = 0, giving solutions x = 2 or x = 3.

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