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Algebra Flashcards

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

Read the first 7 Algebra flashcards as text
  1. What are the solutions to x² - 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factor as (x - 2)(x - 3) = 0, giving x = 2 and x = 3.

  2. Simplify: (x² - 4)/(x + 2)

    Answer: x - 2

    Factor the numerator as (x + 2)(x - 2), then cancel (x + 2) to get x - 2.

  3. Marcus earns $12 per hour plus a $25 bonus per day. Which equation shows his daily earnings E for h hours worked?

    Answer: E = 12h + 25

    Hourly pay is 12h and the flat bonus is 25, so E = 12h + 25.

  4. What is the value of 5 × 10³ + 3 × 10² + 7 × 10⁰?

    Answer: 5,307

    5,000 + 300 + 7 = 5,307.

  5. If the product of two consecutive even integers is 48, what are the integers?

    Answer: 6 and 8

    6 × 8 = 48, and 6 and 8 are consecutive even integers.

  6. Which graph best represents the equation y = -x + 2?

    Answer: A line with negative slope crossing y-axis at 2

    The equation has slope -1 (negative) and y-intercept 2, so it falls left to right and crosses at (0, 2).

  7. What is the solution to the inequality -3x + 6 < 15?

    Answer: x > -3

    -3x -3 (inequality flips when dividing by a negative number).