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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 of the following is NOT a function?

    Answer: {(1,2),(1,3),(2,4)}

    A function cannot have the same x-value mapping to two different y-values; (1,2) and (1,3) violate this.

  2. What is the domain of the function f(x) = 2x + 1 if the input values are {0, 1, 2, 3}?

    Answer: {0, 1, 2, 3}

    The domain is the set of input (x) values, which is {0, 1, 2, 3}.

  3. What is the range of f(x) = 2x + 1 for the domain {0, 1, 2, 3}?

    Answer: {1, 3, 5, 7}

    Evaluating: f(0)=1, f(1)=3, f(2)=5, f(3)=7, so the range is {1, 3, 5, 7}.

  4. A taxi charges a flat fee of $3 plus $2 per mile. Which function represents the total cost C for m miles?

    Answer: C(m) = 2m + 3

    The flat fee is the starting value (y-intercept = 3) and the per-mile rate is the slope (2): C(m) = 2m + 3.

  5. Which graph represents a function with a negative slope and positive y-intercept?

    Answer: A line falling from left to right that crosses the y-axis above the origin

    A negative slope means the line falls left to right, and a positive y-intercept means it crosses the y-axis above the origin.

  6. If the equation of a line is 2y = 6x - 10, what is the slope of the line?

    Answer: 3

    Dividing both sides by 2 gives y = 3x - 5, so the slope is 3.

  7. A linear function has f(0) = 4 and f(2) = 10. What is f(5)?

    Answer: 19

    Slope = (10-4)/(2-0) = 3, so f(x) = 3x + 4; f(5) = 3(5) + 4 = 19.