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Mathematics - Algebra & Functions Flashcards

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

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  1. What is the solution to the system: y = x + 2 and y = 3x − 4?

    Answer: (3, 5)

    Setting equal: x + 2 = 3x − 4 → 6 = 2x → x = 3; y = 5.

  2. Simplify: 4x² + 3x − 2x² + x

    Answer: 2x² + 4x

    (4x² − 2x²) + (3x + x) = 2x² + 4x.

  3. A phone plan charges $25/month plus $0.10 per text. Which equation gives the total monthly cost C for t texts?

    Answer: C = 25 + 0.10t

    The fixed fee is $25 and the variable part is $0.10 per text, giving C = 25 + 0.10t.

  4. What is the value of the expression 3a² − 2b when a = 2 and b = 3?

    Answer: 6

    3(2²) − 2(3) = 3(4) − 6 = 12 − 6 = 6.

  5. Factor the expression: x² − 9

    Answer: (x + 3)(x − 3)

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

  6. A table shows: x = 1, y = 5; x = 2, y = 8; x = 3, y = 11. What is the rule?

    Answer: y = 3x + 2

    The y-values increase by 3 for each increase of 1 in x, and when x = 0, y = 2, giving y = 3x + 2.