Bluebook SAT Test Nonlinear Equations and Systems 10

Question 1

A rocket's height in feet is h(t) = −16t² + 80t. What is the maximum height the rocket reaches?

Accepted Answer

100 feet

Answer

80 feet

Answer

120 feet

Answer

160 feet

Question 2

How many solutions does the system y = x² − 2x + 1 and y = 4 have?

Accepted Answer

2 solutions

Answer

0 solutions

Answer

1 solution

Answer

3 solutions

Question 3

The equation x² − kx + 9 = 0 has two equal real roots. What is the positive value of k?

Accepted Answer

6

Answer

3

Answer

9

Answer

18

Question 4

Which value of x satisfies both x² = 2x + 8 and x > 0?

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 8

Question 5

The graph of y = −(x − 3)² + 5 has its vertex at which point?

Accepted Answer

(3, 5)

Answer

(−3, 5)

Answer

(3, −5)

Answer

(−3, −5)

Question 6

If x² + bx + 36 = 0 has two equal real roots, which of the following could be a value of b?

Accepted Answer

−12

Answer

−6

Answer

9

Answer

18

Question 7

The system y = x + 3 and y = x² − x is solved. What is the sum of the x-values at the intersection points?

Accepted Answer

2

Answer

1

Answer

3

Answer

4