Bluebook SAT Mathematics 2

Question 1

The equation (x^2 + y^2 - 6)^2 = 4(x^2 + y^2) + 21 represents a set of points in the xy-plane. Which of the following best describes this set of points?

Accepted Answer

Two concentric circles

Answer

A single point

Answer

A single circle

Answer

A parabola

Question 2

In the xy-plane, the graph of the function f(x) = 2x^2 - 18 is intersected by the line y = p. For exactly one value of x, the line intersects the function. What is the value of p?

Accepted Answer

-18

Answer

9

Answer

0

Answer

2

Question 3

For a polynomial p(x), the value of p(5) is -2. Which of the following must be true about p(x)?

Accepted Answer

The remainder when p(x) is divided by (x - 5) is -2.

Answer

(x + 2) is a factor of p(x).

Answer

x = 5 is a root of the equation p(x) = 0.

Answer

The remainder when p(x) is divided by (x + 2) is 5.

Question 4

The equation (kx - 7)^2 = 49 has solutions x = 0 and x = 2. What is the value of k?

Accepted Answer

7

Answer

14

Answer

0

Answer

2

Question 5

A function f has the property that f(x) = f(x/2) + 3 for all x > 0. If f(16) = 14, what is the value of f(1)?

Accepted Answer

2

Answer

-1

Answer

5

Answer

8

Question 6

In a right triangle, one angle measures x° and another angle measures y°, where sin(x°) = cos(y°). If x = 4k - 22 and y = 6k - 18, what is the value of k?

Accepted Answer

13

Answer

15

Answer

11.2

Answer

21