Practice Test Geeks(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test
← All TSIA2 Flashcard Decks

Algebra Fundamentals Flashcards

7 cards from real TSIA2 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Algebra Fundamentals flashcards as text

  1. Which equation represents a line perpendicular to y = 3x + 2?

    Answer: y = -(1/3)x + 6

    A perpendicular line has a slope that is the negative reciprocal of 3, which is -1/3.

  2. Simplify: (2x³)⁴

    Answer: 16x¹²

    Apply the power rule: 2⁴ = 16 and (x³)⁴ = x¹², giving 16x¹².

  3. Two trains leave a station simultaneously in opposite directions. One travels at 60 mph and the other at 80 mph. After how many hours are they 420 miles apart?

    Answer: 3 hours

    Combined speed = 140 mph; 420 ÷ 140 = 3 hours.

  4. What are the roots of the equation x² - 6x + 9 = 0?

    Answer: x = 3 only

    x² - 6x + 9 = (x - 3)² = 0, so x = 3 is a double root.

  5. Which expression represents 'the square of the sum of x and 4'?

    Answer: (x + 4)²

    'The square of the sum of x and 4' means (x + 4)².

  6. If the equation 2x + ky = 8 has a solution at (4, 0), what is k?

    Answer: k can be any value

    At (4, 0): 2(4) + k(0) = 8 → 8 = 8, which is true for any value of k.

  7. What is the value of x in the proportion 5/8 = x/40?

    Answer: x = 25

    Cross-multiplying: 8x = 200, so x = 25.