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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. A taxi charges $3 plus $2 per mile. Which equation gives the cost C for m miles?

    Answer: C = 2m + 3

    Fixed $3 plus $2 times miles gives C = 2m + 3.

  2. Solve the system: y = x + 1 and y = 2x - 3.

    Answer: (4, 5)

    Set x + 1 = 2x - 3, giving x = 4 and y = 5.

  3. What is the value of x in 5/x = 10/8?

    Answer: 4

    Cross-multiply: 10x = 40, so x = 4.

  4. Which expression represents 'seven less than twice a number n'?

    Answer: 2n - 7

    Twice a number is 2n, and seven less means subtract 7.

  5. Simplify: 3(2x + 4) - 2(x - 1).

    Answer: 4x + 14

    6x + 12 - 2x + 2 = 4x + 14.

  6. If 4x + 8 = 0, what is x?

    Answer: -2

    Subtract 8 then divide by 4 to get x = -2.

  7. What is the domain restriction for f(x) = 1/(x - 5)?

    Answer: x ≠ 5

    The denominator cannot be zero, so x cannot equal 5.