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Linear Functions Flashcards

7 cards from real Bluebook SAT 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 Linear Functions flashcards as text

  1. The linear function h models the height (in feet) of a balloon t minutes after launch: h(t) = 120 + 15t. What is the height of the balloon after 8 minutes?

    Answer: 240 feet

    h(8) = 120 + 15(8) = 120 + 120 = 240 feet.

  2. What is the x-intercept of the line with equation 3x + 5y = 15?

    Answer: (5, 0)

    Set y = 0: 3x = 15 → x = 5, so the x-intercept is (5, 0).

  3. Two linear functions are defined as f(x) = 2x + 3 and g(x) = 2x − 5. Which of the following is true about their graphs?

    Answer: They are parallel (never intersect)

    Both functions have slope 2 but different y-intercepts, so their graphs are parallel lines that never intersect.

  4. A student earns $12.50 per hour working part-time. If the student works h hours and has already saved $75, which function gives the total savings S(h)?

    Answer: S(h) = 12.50h + 75

    The initial savings ($75) is the y-intercept and the hourly rate ($12.50) is the slope: S(h) = 12.50h + 75.

  5. Line m has the equation x = −4. Which of the following best describes this line?

    Answer: A vertical line at x = −4

    Equations of the form x = k represent vertical lines passing through (k, 0) on the x-axis.

  6. If g(x) = mx + 4 and g(5) = 19, what is the value of m?

    Answer: 3

    19 = m(5) + 4 → 5m = 15 → m = 3.

  7. The table shows a linear relationship between x and y. x: −2 0 2 4 y: 1 5 9 13 Which equation represents this relationship?

    Answer: y = 2x + 5

    From the table, slope = (9 − 5)/(2 − 0) = 2 and y-intercept = 5, giving y = 2x + 5.