Equivalent Expressions Flashcards
7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Equivalent Expressions flashcards as text
Which of the following is equivalent to (x − 2)(x² + 2x + 4)?
Answer: x³ − 8
This is the difference of cubes factored: (x−2)(x²+2x+4) = x³−2³ = x³−8.
Which expression is equivalent to 18x³ − 12x² + 6x?
Answer: 6x(3x² − 2x + 1)
GCF is 6x; factoring out gives 6x(3x²−2x+1). The other options are incorrect or un-simplified.
Which of the following is equivalent to (5x + 2)² − (5x − 2)²?
Answer: 40x
Use a²−b² = (a+b)(a−b): a+b = (5x+2)+(5x−2)=10x, a−b = (5x+2)−(5x−2)=4; product = 40x.
Which of the following is equivalent to (3x²y³)² / (9xy)?
Answer: x³y⁵
Numerator: (3x²y³)² = 9x⁴y⁶; divide by 9xy: 9x⁴y⁶/(9xy) = x³y⁵.
Which expression is equivalent to (2x − 5)(2x + 5) + 25?
Answer: 4x²
(2x−5)(2x+5) = 4x²−25; add 25: 4x²−25+25 = 4x².
Which of the following is equivalent to x^(3/2) / x^(1/2)?
Answer: x
Subtract exponents: 3/2 − 1/2 = 2/2 = 1, so the result is x¹ = x.
Which of the following is equivalent to (x + h)² − x²?
Answer: 2xh + h²
Expand (x+h)² = x²+2xh+h²; subtract x² to get 2xh+h².
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