Solved Algebra Questions with Practice Exercises for Students

 

Introduction

Practice is the key to mastering algebra. After learning concepts like expressions, like terms, and equations, students must solve problems to improve their understanding.

This post provides solved examples along with practice questions to help students learn and test their skills.

 

Before solving questions, review How to Simplify Algebraic Expressions – Step-by-Step Guide for Beginners.

 

Solved Examples

 

Example 1: Simplify Expression

3x + 5x

Solution:

3x + 5x = 8x

 

Example 2: Subtraction

7a – 2a

Solution:

7a – 2a = 5a

 

Example 3: Multiplication

3x × 2

Solution:

3 × 2 = 6

Answer:

6x

 

Example 4: Division

8x ÷ 4

Solution:

8 ÷ 4 = 2

Answer:

2x

 

Example 5: Solve Equation

x + 5 = 10

Solution:

x = 10 – 5
x = 5

 

Learn more in How to Solve Linear Equations – Step-by-StepGuide for Beginners.

Practice Questions

Try solving these:

 

Basic Level

1. 4x + 6x
2. 9a – 3a
3. 5y × 2
4. 12x ÷ 3

 

Intermediate Level

5. 3x + 2x – x
6. 6a × 3
7. x⁴ ÷ x²
8. 10y – 5y + 2

 

Advanced Level

9. 2x + 3x + 4x
10. 15a ÷ 5
11. (3x²) × (2x)
12. x + 7 = 15

 

Answers (Check Yourself)

1. 10x
2. 6a
3. 10y
4. 4x
5. 4x
6. 18a
7. x²
8. 5y + 2
9. 9x
10. 3a
11. 6x³
12. x = 8

 

Why Practice Is Important

Practice helps you:

• Improve speed
• Build confidence
• Avoid mistakes
• Understand concepts deeply

 

Final Thoughts

Algebra becomes easy when you practice regularly. Start with simple questions and move to advanced ones step by step.

Keep solving problems daily, and you will see improvement in your skills.