Bluebook SAT Test Equivalent Expressions 4

Question 1

Which of the following is equivalent to (2x + 1)(x² − 3x + 2)?

Accepted Answer

2x³ − 5x² + x + 2

Answer

2x³ − 6x² + 4x + x² − 3x + 2

Answer

2x³ + x² − 3x + 2

Answer

2x³ − 5x² + 5x + 2

Question 2

If 3x² − 27 = 0, which factored form represents the left side?

Accepted Answer

3(x − 3)(x + 3)

Answer

3(x − 9)(x + 3)

Answer

3(x − 3)²

Answer

(3x − 9)(x + 3)

Question 3

Which of the following is equivalent to x⁻³?

Accepted Answer

1/x³

Answer

−x³

Answer

3/x

Answer

x^(1/3)

Question 4

Which of the following is equivalent to (3x − 2)/5 + (x + 1)/5?

Accepted Answer

(4x − 1)/5

Answer

(4x + 1)/5

Answer

(2x − 1)/5

Answer

(4x − 1)/10

Question 5

Which expression is equivalent to (x − 4)² − (x + 4)²?

Accepted Answer

−16x

Answer

−32x

Answer

−16

Answer

32x

Question 6

Which of the following is equivalent to x^(2/3)?

Accepted Answer

∛x²

Answer

x²/3

Answer

2x/3

Answer

(√x)³

Question 7

Which of the following is equivalent to 4(x + 2)² − 4(x + 2) − 8?

Accepted Answer

4(x + 2)(x + 1)

Answer

4(x + 2)(x + 1) − 8

Answer

4(x + 2 − 2)(x + 2 + 1)

Answer

4x(x + 3)