DSAT Advanced Math 4

Question 1

Which of the following equations represents a parabola with vertex at (-1, 4) that opens downward?

Accepted Answer

y = -(x+1)² + 4

Answer

y = (x+1)² + 4

Answer

y = -(x-1)² + 4

Answer

y = (x-1)² - 4

Question 2

Simplify: (27x⁶)^(1/3)

Accepted Answer

3x²

Answer

9x³

Answer

3x³

Answer

9x²

Question 3

A function is defined by f(x) = (x² - 4) / (x - 2). What value does f(x) approach as x approaches 2?

Accepted Answer

4

Answer

0

Answer

2

Answer

Undefined

Question 4

The equation x² + y² = 25 represents a circle. Which point lies on this circle?

Accepted Answer

(3, 4)

Answer

(4, 4)

Answer

(5, 5)

Answer

(2, 4)

Question 5

If x - 1/x = 3, what is x² + 1/x²?

Accepted Answer

11

Answer

7

Answer

9

Answer

13

Question 6

Which of the following is a solution to |2x - 3| = 7?

Accepted Answer

x = 5

Answer

x = -2

Answer

x = -5

Answer

x = 2

Question 7

If f(x) = x² + bx + c and the zeros are x = 1 and x = -5, what is the value of c?

Accepted Answer

-5

Answer

4

Answer

-4

Answer

5