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Algebraic Reasoning and Functions Flashcards

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

Read the first 7 Algebraic Reasoning and Functions flashcards as text

  1. What is the slope of a line parallel to y = 4x - 2?

    Answer: 4

    Parallel lines have equal slopes, so the slope is 4.

  2. Solve: |x - 3| = 7.

    Answer: x = 10 or x = -4

    x - 3 = 7 gives x = 10; x - 3 = -7 gives x = -4.

  3. If 3x + 2y = 12 and x = 2, what is y?

    Answer: 3

    3(2) + 2y = 12, so 2y = 6 and y = 3.

  4. Which is equivalent to (x^3)^2?

    Answer: x^6

    Raising a power to a power multiplies exponents: 3 * 2 = 6.

  5. A car travels at constant speed and goes 150 miles in 3 hours. Write the distance function d(t).

    Answer: d(t) = 50t

    Speed is 150/3 = 50 mph, so d(t) = 50t.

  6. Solve: x/4 + 3 = 7.

    Answer: x = 16

    Subtract 3 then multiply by 4: x = 16.

  7. What is the x-intercept of 2x - 5y = 10?

    Answer: (5, 0)

    Set y = 0: 2x = 10, so x = 5, giving (5, 0).