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Algebra Fundamentals Flashcards

6 cards from real ALEKS 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 Fundamentals flashcards as text

  1. Simplify: (3x²y)(4xy³)

    Answer: 12x³y⁴

    Multiply coefficients and add exponents: 3×4 = 12, x^(2+1) = x³, y^(1+3) = y⁴.

  2. What is the domain of f(x) = √(x - 4)?

    Answer: x ≥ 4

    The expression under a square root must be non-negative: x - 4 ≥ 0, so x ≥ 4.

  3. Solve: |2x - 6| = 10

    Answer: x = 8 or x = -2

    Set 2x - 6 = 10 (x = 8) and 2x - 6 = -10 (x = -2).

  4. What is the y-intercept of the line 4x - 2y = 8?

    Answer: -4

    Set x = 0: -2y = 8, so y = -4; the y-intercept is -4.

  5. Simplify: (x³)⁴

    Answer: x¹²

    When raising a power to a power, multiply the exponents: (x³)⁴ = x^(3×4) = x¹².

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

    Answer: (3, 0)

    Set y = 0: 3x - 9 = 0, so x = 3; the x-intercept is (3, 0).