Bluebook SAT Test Digital SAT Hard Math Practice 4

Question 1

If 3^(x+1) = 9^(x−2), what is x?

Accepted Answer

5

Answer

−5

Answer

2

Answer

0

Question 2

A parabola with vertex (2, −3) passes through (5, 6). What is the leading coefficient a in f(x) = a(x − 2)² − 3?

Accepted Answer

1

Answer

2

Answer

3/4

Answer

−1

Question 3

The function h(t) = −4.9t² + 14.7t + 2 models the height (in meters) of a ball after t seconds. What is the total time the ball is above a height of 2 meters?

Accepted Answer

3 seconds

Answer

1.5 seconds

Answer

4.9 seconds

Answer

2 seconds

Question 4

If the inverse of f(x) = (3x + 2)/(x − 1) is f⁻¹(x), what is f⁻¹(5)?

Accepted Answer

7/2

Answer

17/4

Answer

3

Answer

2

Question 5

A circle in standard form is (x − 3)² + (y + 2)² = 25. A line y = 4x − 2 intersects the circle. How many intersection points are there?

Accepted Answer

2

Answer

0

Answer

1

Answer

Infinitely many

Question 6

Evaluate: lim_{x→2} (x³ − 8)/(x − 2).

Accepted Answer

12

Answer

0

Answer

6

Answer

4

Question 7

A rectangular box has a square base with side length s and a height of 12 − 2s, where 0 < s < 6. For what value of s is the volume maximized?

Accepted Answer

4

Answer

3

Answer

6

Answer

2