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Algebra Flashcards

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

Read the first 6 Algebra flashcards as text

  1. Simplify: (3x²y)(4xy³)

    Answer: 12x³y⁴

    Multiply coefficients (3 × 4 = 12) and add exponents: x²⁺¹ = x³, y¹⁺³ = y⁴.

  2. Solve the system: x + y = 8 and x − y = 2

    Answer: x = 5, y = 3

    Adding the equations: 2x = 10, so x = 5; substituting back: y = 3.

  3. Which of the following is a solution to x² − 5x + 6 = 0?

    Answer: x = 2

    The equation factors as (x − 2)(x − 3) = 0, giving solutions x = 2 and x = 3.

  4. What is the degree of the polynomial 4x³ − 2x² + x − 7?

    Answer: 3

    The degree is the highest exponent of the variable, which is 3.

  5. Simplify: (x + 3)(x − 2)

    Answer: x² + x − 6

    Using FOIL: x² − 2x + 3x − 6 = x² + x − 6.

  6. If 5(x − 2) = 3x + 4, what is x?

    Answer: 7

    Expand: 5x − 10 = 3x + 4; subtract 3x: 2x = 14; x = 7.