Algebra is the cornerstone of modern mathematics, bridging the gap between arithmetic and advanced mathematical theories. This quiz is designed to challenge your understanding of algebraic concepts and enhance your problem-solving skills. Dive into these questions and see how well you can navigate through equations, inequalities, and functions. Good luck and have fun!

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## Algebra Quiz Questions Overview

### 1. What is the value of x in the equation 2x + 3 = 7?

x = 1

x = 2

x = 3

x = 4

### 2. Which of the following is a quadratic equation?

x + 2 = 5

x^2 – 4x + 4 = 0

2x + 3 = 7

3x – 5 = 0

### 3. If y = 3x + 2, what is the value of y when x = 4?

y = 10

y = 12

y = 14

y = 16

### 4. Which of the following represents the slope-intercept form of a linear equation?

y = mx + b

ax^2 + bx + c = 0

y – y1 = m(x – x1)

Ax + By = C

### 5. What is the solution to the system of equations: 2x + y = 5 and x – y = 1?

(2, 1)

(1, 3)

(3, 1)

(1, 2)

### 6. Which property is illustrated by the equation a(b + c) = ab + ac?

Associative Property

Distributive Property

Commutative Property

Identity Property

### 7. What is the product of (x + 3)(x – 3)?

x^2 – 9

x^2 + 9

x^2 – 6x + 9

x^2 + 6x – 9

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

f(2) = 5

f(2) = 7

f(2) = 9

f(2) = 11

### 9. What is the inverse of the function 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 – 4)/3

### 10. Simplify the expression: 2x^2 – 3x + 4x^2 + x.

6x^2 – 2x

6x^2 – 4x

6x^2 + 2x

2x^2 – 2x

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