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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 represents the perimeter of a square with side length (3x - 1)?

    Answer: 12x - 4

    Perimeter of a square = 4s = 4(3x - 1) = 12x - 4.

  2. Simplify the expression: 2x + 3y - x + 5y

    Answer: x + 8y

    Combine like terms: 2x - x = x and 3y + 5y = 8y, giving x + 8y.

  3. What value of n makes 5n - 8 = 3n + 4 true?

    Answer: 6

    Subtract 3n from both sides: 2n - 8 = 4; add 8: 2n = 12; divide by 2: n = 6.

  4. Which expression is equivalent to -(2x - 5)?

    Answer: -2x + 5

    Distributing the negative sign: -(2x - 5) = -2x + 5.

  5. The expression 16 - 4x² can be factored as:

    Answer: 4(2 - x)(2 + x)

    Factor out 4: 4(4 - x²), then factor the difference of squares: 4(2 - x)(2 + x).

  6. In the expression 7a³b² - 3ab + 2b, how many terms are there?

    Answer: 3

    Terms are separated by addition or subtraction; there are 3 terms: 7a³b², -3ab, and 2b.

  7. Which of the following shows 4x² + 8x factored completely?

    Answer: 4x(x + 2)

    The GCF of 4x² and 8x is 4x, so 4x² + 8x = 4x(x + 2).