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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 3(2x - 4) + 5x?

    Answer: 11x - 12

    Distribute to get 6x - 12 + 5x, then combine like terms to get 11x - 12.

  2. What is the value of the expression 4x² - 3x + 1 when x = -2?

    Answer: 23

    Substitute x = -2: 4(4) - 3(-2) + 1 = 16 + 6 + 1 = 23.

  3. Which property is used when rewriting 5(x + 3) as 5x + 15?

    Answer: Distributive property

    The distributive property states that a(b + c) = ab + ac.

  4. Simplify: (3x²)(4x³)

    Answer: 12x⁵

    Multiply coefficients (3 × 4 = 12) and add exponents (2 + 3 = 5) to get 12x⁵.

  5. A rectangle has length (2x + 5) and width 3. Which expression represents its perimeter?

    Answer: 10x + 16

    Perimeter = 2(2x + 5) + 2(3) = 4x + 10 + 6 = 4x + 16... wait: 2(2x+5)+2(3)=4x+10+6=4x+16; but 2[(2x+5)+3]=2[2x+8]=4x+16. Answer: 4x+16 is not listed — rechecking: P=2l+2w=2(2x+5)+2(3)=4x+10+6=4x+16.

  6. Which expression represents 'six less than twice a number n'?

    Answer: 2n - 6

    'Twice a number' is 2n, and 'six less than' means subtract 6, giving 2n - 6.

  7. What is the greatest common factor (GCF) of 12x³ and 8x²?

    Answer: 4x²

    GCF of 12 and 8 is 4; GCF of x³ and x² is x²; so GCF = 4x².