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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. Solve the system: x + y = 10 and x - y = 4. What is x?

    Answer: x = 7

    Adding the equations gives 2x = 14, so x = 7.

  2. What is the simplified form of (3x²y)(4xy³)?

    Answer: 12x³y⁴

    Multiply coefficients (3×4=12) and add exponents: x^(2+1)=x³ and y^(1+3)=y⁴.

  3. A store marks up items by 25%. If an item costs the store $48, what is the selling price?

    Answer: $60

    Selling price = 48 × 1.25 = $60.

  4. Which of the following is a factor of x² - 9x + 18?

    Answer: (x - 3)

    x² - 9x + 18 = (x - 3)(x - 6), so (x - 3) is a factor.

  5. What is the solution to |2x - 4| = 10?

    Answer: x = 7 or x = -3

    Set 2x - 4 = 10 (x = 7) and 2x - 4 = -10 (x = -3).

  6. If 5x + 2y = 20 and y = 5, what is x?

    Answer: x = 2

    Substituting y = 5: 5x + 10 = 20, so 5x = 10 and x = 2.

  7. What is the degree of the polynomial 4x³ - 7x⁵ + 2x - 9?

    Answer: 5

    The degree is determined by the highest exponent, which is 5 in -7x⁵.