Bluebook SAT Test Nonlinear Equations and Systems 4

Question 1

The sum of a number and its square is 56. Which equation models this situation?

Accepted Answer

x² + x − 56 = 0

Answer

x² − x + 56 = 0

Answer

x² + x + 56 = 0

Answer

2x² − 56 = 0

Question 2

For the equation 4x² − 20x + 25 = 0, how many real solutions are there?

Accepted Answer

1

Answer

0

Answer

2

Answer

4

Question 3

What is the solution set of x² − 9 = 0?

Accepted Answer

{3, −3}

Answer

{3}

Answer

{−3}

Answer

{9}

Question 4

The system y = x² − 2x − 3 and y = 5 is solved. What are the x-values of the intersections?

Accepted Answer

x = 4 and x = −2

Answer

x = 3 and x = −2

Answer

x = 4 and x = −1

Answer

x = 5 and x = −1

Question 5

A ball is thrown upward; its height in feet at time t seconds is h(t) = −16t² + 64t. At what time does the ball return to the ground (h = 0, t > 0)?

Accepted Answer

t = 4 s

Answer

t = 2 s

Answer

t = 6 s

Answer

t = 8 s

Question 6

If the graph of y = x² + bx + 4 touches the x-axis at exactly one point, which of the following could be a value of b?

Accepted Answer

b = 4

Answer

b = 2

Answer

b = 3

Answer

b = 5

Question 7

Solve: (x + 2)(x − 5) = 0

Accepted Answer

x = −2 and x = 5

Answer

x = 2 and x = 5

Answer

x = 2 and x = −5

Answer

x = −2 and x = −5