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OAR Math Skills: Algebraic Expressions Questions and Answers Flashcards

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

Read the first 6 OAR Math Skills: Algebraic Expressions Questions and Answers flashcards as text

  1. Expand and simplify: (2x + 3)(x - 7)

    Answer: 2x² - 11x - 21

    Using FOIL: 2x·x + 2x·(-7) + 3·x + 3·(-7) = 2x² - 14x + 3x - 21 = 2x² - 11x - 21.

  2. Simplify the rational expression: (x² - 16)/(x + 4)

    Answer: x - 4

    Factor the numerator as a difference of squares (x+4)(x-4) and cancel the common factor (x+4).

  3. If 3(x - 2) = 2(x + 5), what is the value of x?

    Answer: 16

    Distribute to get 3x - 6 = 2x + 10, then subtract 2x and add 6 to both sides giving x = 16.

  4. Which expression represents the product of (a - b)² ?

    Answer: a² - 2ab + b²

    The square of a binomial (a-b)² expands to a² - 2ab + b² using the perfect square trinomial pattern.

  5. Combine like terms: 7m²n - 3mn² + 2m²n + 5mn²

    Answer: 9m²n + 2mn²

    Combine m²n terms (7+2=9) and mn² terms (-3+5=2) to get 9m²n + 2mn².

  6. Factor out the greatest common factor from 12x³y² - 8x²y³ + 4x²y²

    Answer: 4x²y²(3x - 2y + 1)

    The GCF is 4x²y², and factoring it out gives 4x²y²(3x - 2y + 1).