Bluebook SAT Test Digital SAT Hard Math Practice 2

Question 1

Let f(x) = √(3x − 9). What is the domain of f?

Accepted Answer

x ≥ 3

Answer

x > 3

Answer

x ≥ 0

Answer

All real numbers

Question 2

The graphs of y = ax² + bx + c and y = dx + e intersect at exactly one point. Which condition must be true?

Accepted Answer

The discriminant of ax² + (b−d)x + (c−e) = 0 equals zero

Answer

b² − 4ac = 0 after substitution

Answer

a = d

Answer

c = e

Question 3

If cos(2θ) = 1 − 2sin²θ, and sin θ = 3/5, what is cos(2θ)?

Accepted Answer

7/25

Answer

−7/25

Answer

1/25

Answer

24/25

Question 4

A function f satisfies f(x + 2) = 3f(x) for all real x, and f(0) = 4. What is f(6)?

Accepted Answer

108

Answer

36

Answer

324

Answer

12

Question 5

The polynomial p(x) = x³ + ax² + bx − 8 has (x − 2) as a factor, and p(−1) = −18. What is the value of a?

Accepted Answer

−3

Answer

3

Answer

−1

Answer

2

Question 6

If log₂(x + 1) + log₂(x − 3) = 5, what is the value of x?

Accepted Answer

7

Answer

5

Answer

9

Answer

3

Question 7

In the xy-plane, the circle x² + y² − 6x + 8y = 0 has center (h, k). What is h + k?

Accepted Answer

−1

Answer

1

Answer

7

Answer

−7