Bluebook SAT Test Digital SAT Hard Math 3

Question 1

If 5^(2x) = 125, what is the value of 5^(x-1)?

Accepted Answer

1/5

Answer

5

Answer

25

Answer

1/25

Question 2

The polynomial p(x) = x³ - 7x + 6 has a zero at x = 1. Which of the following are the remaining zeros?

Accepted Answer

x = 2 and x = -3

Answer

x = -2 and x = 3

Answer

x = 6 and x = -1

Answer

x = 3 and x = -2

Question 3

Which value of x satisfies both x² < 16 and 2x + 3 > 7?

Accepted Answer

x = 3

Answer

x = -3

Answer

x = 5

Answer

x = 0

Question 4

A geometric sequence has first term 4 and common ratio 3. What is the sum of the first 5 terms?

Accepted Answer

484

Answer

364

Answer

243

Answer

400

Question 5

In a right triangle, one leg is 5 cm and the hypotenuse is 13 cm. What is the length of the other leg?

Accepted Answer

12 cm

Answer

8 cm

Answer

10 cm

Answer

√194 cm

Question 6

If f(x) = √(x + 4) and g(x) = x², what is the domain of f(g(x))?

Accepted Answer

All real numbers

Answer

x ≥ 0

Answer

x ≥ -4

Answer

x ≥ -2

Question 7

A store marks up an item by 40% and then offers a 20% discount on the marked price. What is the net percentage change from the original price?

Accepted Answer

12% increase

Answer

20% increase

Answer

8% decrease

Answer

No change

Question 8

The equation x² + y² - 6x + 8y = 0 represents a circle. What are the coordinates of its center?

Accepted Answer

(3, -4)

Answer

(-3, 4)

Answer

(6, -8)

Answer

(-6, 8)