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Linear Equations & Functions Flashcards

7 cards from real REGENTS-ALGEBRA 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 Equations & Functions flashcards as text

  1. Which equation is written in standard form?

    Answer: 3x - y = 2

    Standard form is Ax + By = C; 3x - y = 2 fits this format.

  2. A function f is defined by f(x) = 5x - 3. What is f(4)?

    Answer: 17

    f(4) = 5(4) - 3 = 20 - 3 = 17.

  3. What is the slope of a line perpendicular to y = (1/3)x + 4?

    Answer: -3

    Perpendicular slopes are negative reciprocals; the negative reciprocal of 1/3 is -3.

  4. James earns $12 per hour. Which equation models his total earnings E after h hours?

    Answer: E = 12h

    Total earnings equal the hourly rate multiplied by hours worked: E = 12h.

  5. Which point lies on the line y = -x + 6?

    Answer: (3, 3)

    Substituting x = 3: y = -3 + 6 = 3, so (3, 3) satisfies the equation.

  6. What is the rate of change of the linear function represented by the table: x: 1, 2, 3, 4 and y: 5, 8, 11, 14?

    Answer: 3

    Each time x increases by 1, y increases by 3, so the rate of change (slope) is 3.

  7. The equation of a line passing through (0, -4) with slope 2 is:

    Answer: y = 2x - 4

    The point (0, -4) is the y-intercept (b = -4) and slope m = 2, giving y = 2x - 4.