Bluebook SAT Test Nonlinear Equations and Systems 3

Question 1

Which of the following is equivalent to x² − 16?

Accepted Answer

(x − 4)(x + 4)

Answer

(x − 8)(x + 2)

Answer

(x − 4)²

Answer

(x + 4)²

Question 2

What is the positive solution of 3x² − 27 = 0?

Accepted Answer

x = 3

Answer

x = 6

Answer

x = 9

Answer

x = √3

Question 3

If (x − 3)² = 25, what are the possible values of x?

Accepted Answer

x = 8 or x = −2

Answer

x = 8 only

Answer

x = −2 only

Answer

x = 3 ± 25

Question 4

Which quadratic has roots at x = −1 and x = 5?

Accepted Answer

x² − 4x − 5

Answer

x² + 4x − 5

Answer

x² − 4x + 5

Answer

x² + 4x + 5

Question 5

How many real solutions does x² + 4 = 0 have?

Accepted Answer

None

Answer

One

Answer

Two

Answer

Four

Question 6

The product of two consecutive even integers is 48. Which equation models this situation?

Accepted Answer

n² + 2n − 48 = 0

Answer

n² − 2n − 48 = 0

Answer

n² + 2n + 48 = 0

Answer

2n² − 48 = 0

Question 7

The graph of y = x² − 2x − 8 crosses the x-axis at two points. What is the distance between these x-intercepts?

Accepted Answer

6

Answer

4

Answer

5

Answer

8