Bluebook SAT Test Nonlinear Equations and Systems 9

Question 1

What is the sum of the roots of the equation 3x² − 12x + 7 = 0?

Accepted Answer

4

Answer

7/3

Answer

−7/3

Answer

−4

Question 2

Which of the following equations has no real solutions?

Accepted Answer

x² + 3x + 10 = 0

Answer

x² − 5x + 4 = 0

Answer

x² − 4x − 5 = 0

Answer

x² − 6x + 9 = 0

Question 3

If f(x) = x² − 6x + 8, at which x-value does the function reach its minimum?

Accepted Answer

x = 3

Answer

x = 2

Answer

x = 4

Answer

x = 6

Question 4

The parabola y = x² + 4x − 12 crosses the x-axis at two points. What is the product of those x-intercepts?

Accepted Answer

−12

Answer

12

Answer

−4

Answer

4

Question 5

Which of the following is a correct factored form of 6x² + 11x − 10?

Accepted Answer

(2x + 5)(3x − 2)

Answer

(3x + 5)(2x − 2)

Answer

(6x − 5)(x + 2)

Answer

(2x − 5)(3x + 2)

Question 6

The system y = x² − 5x + 6 and y = 0 is solved. What is the positive difference between the two solutions?

Accepted Answer

1

Answer

2

Answer

3

Answer

5

Question 7

If (2x − 1)² = 49, what are the two values of x?

Accepted Answer

x = 4 and x = −3

Answer

x = 3 and x = −4

Answer

x = 4 and x = −4

Answer

x = 3 and x = −3