Bluebook SAT Test Nonlinear Equations and Systems 2

Question 1

Which values of x satisfy x² − x − 12 = 0?

Accepted Answer

x = 4 and x = −3

Answer

x = −4 and x = 3

Answer

x = 6 and x = −2

Answer

x = 3 and x = 4

Question 2

For the equation 3x² − 12x + 12 = 0, what is the value of the discriminant?

Accepted Answer

0

Answer

12

Answer

36

Answer

144

Question 3

Using the quadratic formula, what are the solutions of x² − 6x + 7 = 0?

Accepted Answer

x = 3 ± √2

Answer

x = 6 ± √2

Answer

x = 3 ± 2√2

Answer

x = −3 ± √2

Question 4

The system y = x² and y = x + 6 is solved by substitution. What are the x-values of the intersection points?

Accepted Answer

x = 3 and x = −2

Answer

x = −3 and x = 2

Answer

x = 6 and x = −1

Answer

x = 2 and x = −6

Question 5

How many points of intersection does the system y = x² − 3 and y = 2x have?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 6

The function f(x) = x² − 4x + 3. At which x-value does f(x) reach its minimum?

Accepted Answer

x = 2

Answer

x = 1

Answer

x = 3

Answer

x = 4

Question 7

The system y = x + 2 and y = x² − 4 has two solutions. What is the sum of their x-coordinates?

Accepted Answer

1

Answer

2

Answer

3

Answer

5