If you are learning algebra in class 6, in this article, you will find 20 solved algebra problems for Class 6 with step-by-step answers. These examples will help you understand basic algebra concepts and improve your problem-solving skills.
At the end, practice questions are also given with answers, so that every beginner can easily understand the method of solving algebraic problems. You will also find FAQs and a conclusion.
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Solved Algebra Problems for Class 6 with Answers
Q1. Solve: x + 8 = 15
Solution:
x + 8 = 15
x + 8 – 8 = 15 – 8
x = 7
Q2. Solve: y – 6 = 19
Solution:
y – 6 = 19
y – 6 + 6 = 19 + 6
y = 25
Q3. Find the value of a: 4a = 32
Solution:
4a = 32
a = 32 / 4
a = 8
Q4. Solve: b ÷ 6 = 4
Solution:
b ÷ 6 = 4
b = 4 × 6
b = 24
Q5. Find x: 2x + 3 = 13
Solution:
2x + 3 = 13
2x + 3 – 3 = 13 – 3
2x = 10
x = 10 / 2
x = 5
Q6. Solve: 3y − 5 = 19
Solution:
3y − 5 = 19
3y − 5 + 5 = 19 + 5
3y = 24
y = 24 / 3
y = 8
Q7. Find the value of m: 5m + 10 = 30
Solution:
5m + 10 = 30
5m + 10 – 10 = 30 – 10
5m = 20
m = 20 / 5
m = 4
Q8. Solve: 4n − 8 = 16
Solution:
4n − 8 = 16
4n − 8 + 8 = 16 + 8
4n = 24
n = 24 / 4
n = 6
Q9. Find p: (p + 9) ÷ 3 = 7
Solution:
(p + 9) ÷ 3 = 7
p + 9 = 7 × 3
p + 9 = 21
p + 9 – 9 = 21 – 9
p = 12
Q10. Solve: 6q + 4 = 46
Solution:
6q + 4 = 46
6q + 4 – 4 = 46 – 4
6q = 42
q = 42 / 6
q = 7
Q11. Simplify: 5x + 3x
Solution:
= 5x + 3x
= 8x
Q12. Simplify: 9a − 5a
Solution:
= 9a − 5a
= 4a
Q13. Simplify: 7m + 12 − 5
Solution:
= 7m + 12 − 5
= 7m + 7
Q14. Simplify: 4y + 6y − 6
Solution:
= 4y + 6y − 6
= 10y – 6
Q15. If x = 5, find 3x + 5
Solution:
= 3x + 5
= 3(5) + 5
= 15 + 5
= 20
Q16. If a = 5, find 2a − 6
Solution:
= 2a − 6
= 2(5) – 6
= 10 – 6
= 4
Q17. If b = 4, find 5b+5.
Solution:
= 5b + 5
= 5(4) + 5
= 20 + 5
= 25
Q18. Write an algebraic expression for: A number increased by 20.
Solution:
Let the number be x.
According to the condition:
x + 20
Q19. Write an algebraic expression for: Three times a number minus 15.
Solution:
Let the number be x.
According to the condition:
3x – 15
Q20. Write an algebraic expression for: The sum of a number and 4.
Solution:
Let the number be y.
According to the condition:
y + 4
Practice Questions
- Solve: x + 9 = 20
- Solve: y − 7 = 10
- Find the value of a: 5a = 85
- Solve: b ÷ 8 = 8
- Find x: 3x + 4 = 16
- Solve: 2m − 6 = 14
- Simplify: 6x + 14x
- Simplify: 100a − 3a
- If y = 7, find 2y + 16.
- Write an algebraic expression for: A number decreased by 19.
Answers to Practice Questions
Q1. x = 11
Q2. y = 17
Q3. a = 17
Q4. b = 64
Q5. x = 4
Q6. m = 10
Q7. 20x
Q8. 97a
Q9. 30
Q10. x – 19
You can also check algebra for class 6 for more practice.
FAQs
Q1. How do you solve algebra problems for Class 6?
Identify the variable and then use the basic operation of mathematics to find the value of the variable.
Q2. Why are algebra problems important for Class 6 students?
It helps students to develop logical thinking, improve problem-solving skills, and build a strong foundation in algebra.
Q3. What is a variable in algebra?
A variable is a letter whose value is to be found, like x, y, or a, etc.
Q4. How can I improve my algebra skills?
By practicing the algebra problems regularly, your algebra skills can improve.
Q5. What is the difference between an algebraic expression and an equation?
Algebraic expressions do not contain an equal sign, but algebraic equations contain an equal sign. This is the common difference between them.
Conclusion
This article includes solved algebra problems for class 6, as well as practice questions with answers. After practicing these questions, your skill in solving algebra questions will definitely improve. Practice these questions regularly and explore our other Class 6 algebra articles to strengthen your understanding.
