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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. Solve: x^2 - 5x + 6 = 0.

    Answer: x = 2 or x = 3

    Factors as (x - 2)(x - 3) = 0, so x = 2 or x = 3.

  2. What is the equation of a line with slope 3 passing through (0, -4)?

    Answer: y = 3x - 4

    Slope 3 and y-intercept -4 give y = 3x - 4.

  3. Evaluate: 2^3 + 3 * 4 - 6.

    Answer: 14

    8 + 12 - 6 = 14 by order of operations.

  4. If the perimeter of a rectangle is 2L + 2W, solve for W.

    Answer: W = (P - 2L)/2

    Subtract 2L then divide by 2: W = (P - 2L)/2.

  5. Simplify the expression: (x^2 - x - 12)/(x - 4).

    Answer: x + 3

    Factor numerator to (x - 4)(x + 3), cancel (x - 4) to get x + 3.

  6. A function doubles its input and adds 5. What is the output for input 6?

    Answer: 17

    2(6) + 5 = 12 + 5 = 17.

  7. Solve for y: 2y/3 = 8.

    Answer: y = 12

    Multiply both sides by 3/2: y = 12.