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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. Solve for x: 3x + 7 = 22

    Answer: x = 5

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

  2. Simplify: 4x + 3y - 2x + y

    Answer: 2x + 4y

    Combine like terms: (4x - 2x) + (3y + y) = 2x + 4y.

  3. What is the slope of the line passing through (2, 3) and (6, 11)?

    Answer: 2

    Slope = (11 - 3)/(6 - 2) = 8/4 = 2.

  4. Which equation represents a line with slope -3 and y-intercept 5?

    Answer: y = -3x + 5

    Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

  5. Factor completely: x² - 9

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

    x² - 9 is a difference of squares: a² - b² = (a + b)(a - b), so x² - 9 = (x + 3)(x - 3).

  6. Solve the inequality: 2x - 4 > 10

    Answer: x > 7

    Add 4 to both sides: 2x > 14, then divide by 2: x > 7.