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Algebra and Linear Equations Flashcards

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

Read the first 6 Algebra and Linear Equations flashcards as text

  1. Solve for x: (x/3) + 4 = 7

    Answer: x = 9

    Subtracting 4 gives x/3 = 3, then multiplying by 3 gives x = 9.

  2. What is the y-intercept of the line 5x - 2y = 10?

    Answer: (0, -5)

    Setting x = 0 gives -2y = 10, so y = -5, making the y-intercept (0, -5).

  3. If f(x) = 3x - 2, what is f(4)?

    Answer: 10

    f(4) = 3(4) - 2 = 12 - 2 = 10.

  4. Which value of x satisfies |2x - 6| = 8?

    Answer: x = 7 or x = -1

    2x - 6 = 8 gives x = 7, and 2x - 6 = -8 gives x = -1.

  5. Two consecutive integers have a sum of 53. What is the larger integer?

    Answer: 27

    If n and n+1 are consecutive integers, then 2n + 1 = 53, giving n = 26 and n+1 = 27.

  6. What is the x-intercept of the line y = -3x + 9?

    Answer: (3, 0)

    Setting y = 0 gives -3x + 9 = 0, so x = 3, making the x-intercept (3, 0).