Practice Test GeeksGED Practice Test
← All GED Flashcard Decks

Mathematical Reasoning Algebra and Functions Flashcards

6 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 6 Mathematical Reasoning Algebra and Functions flashcards as text

  1. Solve for x: 3x − 7 = 14

    Answer: x = 7

    Add 7 to both sides: 3x = 21. Divide both sides by 3: x = 7.

  2. Which equation represents the line passing through (0, −3) with a slope of 2?

    Answer: y = 2x − 3

    Using slope-intercept form y = mx + b, slope m = 2 and y-intercept b = −3 gives y = 2x − 3.

  3. Simplify the expression: 4(2x − 3) + 5x

    Answer: 13x − 12

    Distribute: 4(2x − 3) = 8x − 12. Then combine like terms: 8x + 5x − 12 = 13x − 12.

  4. A function is defined as f(x) = x² − 4x + 3. What is f(2)?

    Answer: −1

    f(2) = (2)² − 4(2) + 3 = 4 − 8 + 3 = −1.

  5. Solve the inequality: 2x + 5 > 13

    Answer: x > 4

    Subtract 5: 2x > 8. Divide by 2: x > 4. The direction of the inequality does not change when dividing by a positive number.

  6. If y varies directly with x, and y = 15 when x = 5, what is y when x = 8?

    Answer: 24

    Direct variation: y = kx. Find k: 15 = k(5), so k = 3. Then y = 3(8) = 24.