Bluebook SAT Test Equivalent Expressions 8

Question 1

Which of the following is equivalent to (3x + 6)/(x² + 2x)?

Accepted Answer

3/x

Answer

(3x + 6)/x

Answer

3/(x + 2)

Answer

3/(x(x+2))

Question 2

Which of the following is equivalent to (p + q)³?

Accepted Answer

p³ + 3p²q + 3pq² + q³

Answer

p³ + q³

Answer

p³ + 2pq + q³

Answer

3p + 3q

Question 3

Which of the following is equivalent to x² + 10x + 25 − y²?

Accepted Answer

(x + y + 5)(x − y + 5)

Answer

(x + 5 + y)(x + 5 − y)

Answer

(x + 5)² − y²

Answer

(x + 5 − y)²

Question 4

Which of the following is equivalent to (x/(x−3)) − (3/(x−3))?

Accepted Answer

1

Answer

−1

Answer

x − 3

Answer

3/(x−3)

Question 5

Which of the following is equivalent to 27x³ − 8?

Accepted Answer

(3x − 2)(9x² + 6x + 4)

Answer

(3x − 2)³

Answer

(3x − 2)(9x² − 12x + 4)

Answer

(3x + 2)(9x² − 6x + 4)

Question 6

Which of the following is equivalent to (x² − 6x + 9)/(x − 3)?

Accepted Answer

x − 3

Answer

x + 3

Answer

(x − 3)²

Answer

1

Question 7

Which of the following expressions is equivalent to (1 − x²)/(x² − 1)?

Accepted Answer

−1

Answer

1

Answer

0

Answer

x