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Algebra: Functions and Data Flashcards

7 cards from real Keystone Test 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: Functions and Data flashcards as text
  1. The table shows costs: 1 item=$4, 2 items=$7, 3 items=$10, 4 items=$13. What is the cost for 10 items?

    Answer: $31

    The pattern is f(n) = 3n + 1; f(10) = 3(10) + 1 = 31.

  2. Which correlation coefficient indicates the strongest linear relationship?

    Answer: r = -0.9

    The correlation coefficient closest to -1 or 1 indicates the strongest relationship; r = -0.9 is closest to -1.

  3. f(x) = 4x - 3 and g(x) = f(x) + 5. What is g(x)?

    Answer: 4x + 2

    g(x) = (4x - 3) + 5 = 4x + 2.

  4. A student scored 70, 80, 85, 90, and 100 on five tests. Which score, if added as a sixth test, would keep the mean at exactly 85?

    Answer: 85

    Current sum = 425; for mean 85 with 6 scores, need sum = 510; sixth score = 510 - 425 = 85.

  5. Which graph represents a function that is decreasing over its entire domain?

    Answer: y = -3x + 1

    y = -3x + 1 has a negative slope (-3), so it decreases everywhere.

  6. A function f is represented by the equation f(x) = ½x + 4. What is the x-intercept?

    Answer: (-8, 0)

    Set ½x + 4 = 0: ½x = -4, so x = -8; the x-intercept is (-8, 0).

  7. Two data sets each have 10 values. Set A has a standard deviation of 2; Set B has a standard deviation of 8. What does this tell you?

    Answer: Set B's data is more spread out than Set A's

    A larger standard deviation indicates greater spread (variability) around the mean, so Set B's values are more dispersed.

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