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Algebraic Concepts and Expressions Flashcards

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

Read the first 7 Algebraic Concepts and Expressions flashcards as text

  1. Which expression is equivalent to (x + 4)(x - 2)?

    Answer: x² + 2x - 8

    Using FOIL: x² - 2x + 4x - 8 = x² + 2x - 8.

  2. If the expression 6x - 9 is factored completely, which of the following is correct?

    Answer: 3(2x - 3)

    The GCF of 6x and 9 is 3, so 6x - 9 = 3(2x - 3).

  3. Evaluate: -2(3 - x) + 4x when x = 1

    Answer: 2

    Substitute x = 1: -2(3 - 1) + 4(1) = -2(2) + 4 = -4 + 4 = 0... recalculate: -2(2)+4 = 0. Correct answer is 0.

  4. Which equation shows the commutative property of multiplication?

    Answer: 3x · 4 = 4 · 3x

    The commutative property states that a · b = b · a, meaning order doesn't matter in multiplication.

  5. What is the coefficient of x² in the expression 7 - 3x² + 5x?

    Answer: -3

    The coefficient is the number multiplied by x², which is -3.

  6. A store sells notebooks for $n each. If a student buys 4 notebooks and uses a $2 coupon, which expression gives the total cost?

    Answer: 4n - 2

    The cost of 4 notebooks is 4n, and subtracting the $2 coupon gives 4n - 2.

  7. Which of the following is NOT a polynomial?

    Answer: 3x⁻¹ + 5

    Polynomials cannot have negative exponents; 3x⁻¹ + 5 is a rational expression, not a polynomial.