Dive into the fascinating world of Algebra 2, where equations and functions take center stage. This quiz will challenge your understanding of complex algebraic concepts and help you refine your skills. Whether you’re a student preparing for an exam or simply looking to test your knowledge, these questions will provide a thorough review. Good luck, and remember to think critically!

## Algebra 2 Quiz Questions Overview

### 1. What is the solution to the quadratic equation x^2 – 5x + 6 = 0?

x = 2 and x = 3

x = -2 and x = -3

x = 1 and x = 6

x = -1 and x = -6

### 2. What is the value of the discriminant of the quadratic equation 3x^2 – 4x + 2 = 0?

4

-8

16

0

### 3. Which of the following represents the vertex form of a quadratic function?

y = ax^2 + bx + c

y = a(x – h)^2 + k

y = a(x – p)(x – q)

y = ax + b

### 4. If f(x) = 2x^3 – 3x^2 + x – 5, what is f'(x)?

f'(x) = 6x^2 – 6x + 1

f'(x) = 6x^2 – 3x + 1

f'(x) = 2x^2 – 3x + 1

f'(x) = 6x^2 – 3x – 5

### 5. What is the inverse function of f(x) = 3x – 4?

f^(-1)(x) = (x + 4)/3

f^(-1)(x) = (x – 4)/3

f^(-1)(x) = 3x + 4

f^(-1)(x) = (x – 3)/4

### 6. What are the roots of the polynomial equation x^3 – 6x^2 + 11x – 6 = 0?

x = 1, 2, 3

x = -1, -2, -3

x = 1, -2, 3

x = -1, 2, -3

### 7. Which of the following is a rational function?

f(x) = 2x + 3

f(x) = (x^2 – 1)/(x + 1)

f(x) = x^2 + 2x + 1

f(x) = sqrt(x)

### 8. If g(x) = 4/(x – 2), what is the vertical asymptote of g(x)?

x = 0

x = 2

x = -2

x = 4

### 9. What is the sum of the roots of the quadratic equation 2x^2 – 4x + 1 = 0?

2

-2

4

-4

### 10. Which of the following is the correct factorization of x^2 – 9?

(x – 3)(x + 3)

(x – 9)(x + 1)

(x – 3)(x – 3)

(x + 9)(x – 1)