DSAT Advanced Math 5

Question 1

Which of the following is equivalent to x^(3/2)?

Accepted Answer

Both A and C

Answer

x√x

Answer

x³/2

Answer

√(x³)

Question 2

The graph of f(x) = x² is shifted 3 units left and 2 units up. What is the new equation?

Accepted Answer

y = (x+3)² + 2

Answer

y = (x-3)² + 2

Answer

y = (x+3)² - 2

Answer

y = (x-3)² - 2

Question 3

If p(x) = x³ - 2x² - x + 2, which of the following is a factor?

Accepted Answer

x - 2

Answer

x + 2

Answer

x + 1

Answer

x - 3

Question 4

What is the product of the complex numbers (3 + 2i) and (1 - i)?

Accepted Answer

5 - i

Answer

1 + 5i

Answer

3 - 2i²

Question 5

The equation y = 2x² - 8x + 6 can be rewritten in vertex form as:

Accepted Answer

y = 2(x-2)² - 2

Answer

y = 2(x+2)² - 2

Answer

y = 2(x-2)² + 2

Answer

y = 2(x-4)² - 2

Question 6

A quadratic equation has roots r₁ and r₂. If r₁ + r₂ = 7 and r₁ · r₂ = 12, which equation has these roots?

Accepted Answer

x² - 7x + 12 = 0

Answer

x² + 7x - 12 = 0

Answer

x² + 7x + 12 = 0

Answer

x² - 7x - 12 = 0

Question 7

For the function f(x) = (x² - 1) / (x² - x - 2), which x-value is a hole (removable discontinuity)?

Accepted Answer

x = 1

Answer

x = -1

Answer

x = 2

Answer

x = -2