Practice Test GeeksGED Practice Test
← All GED Flashcard Decks

Mathematical Reasoning Algebra and Functions Flashcards

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

Read the first 7 Mathematical Reasoning Algebra and Functions flashcards as text

  1. A function is defined as g(x) = -2x + 7. For what value of x does g(x) = 1?

    Answer: x = 3

    -2x + 7 = 1 → -2x = -6 → x = 3.

  2. Which table of values represents a linear function?

    Answer: x: 0,1,2,3 → y: 2,5,8,11

    A linear function has a constant rate of change; y increases by 3 for each increase of 1 in x.

  3. Simplify: (3x² - 5x + 2) - (x² + 2x - 4)

    Answer: 2x² - 7x + 6

    Distribute the negative: 3x² - 5x + 2 - x² - 2x + 4 = 2x² - 7x + 6.

  4. Solve the system: y = 2x + 1 and y = -x + 7. What is the value of x?

    Answer: x = 2

    Set equal: 2x + 1 = -x + 7 → 3x = 6 → x = 2.

  5. What is the vertex of the parabola y = (x - 3)² + 5?

    Answer: (3, 5)

    In vertex form y = (x - h)² + k, the vertex is (h, k) = (3, 5).

  6. Which inequality is represented by a dashed boundary line on a graph?

    Answer: y > x + 4

    Strict inequalities () use dashed boundary lines; ≤ and ≥ use solid lines.

  7. The cost C of renting a car is C = 0.25m + 40, where m is miles driven. How many miles were driven if C = $65?

    Answer: 100 miles

    65 = 0.25m + 40 → 0.25m = 25 → m = 100.