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Class 6th Algebra worksheet - 50 Questions for advance and beginner students

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class 6 algebra

Algebra is like a puzzle where we use letters instead of numbers to figure things out. Think of it like filling in the blanks in a story. The word "Algebra" comes from Arabic and means putting broken parts back together.

Below are some key concepts in algebra:

1. Variable

A variable is like a mystery number that changes depending on the situation. In the math problem $2�+5$, "x" is the variable.

2. Constant

A constant is a number that never changes. In the problem $2�+5$, the number 5 is the constant.

3. Terms, Factors, and Coefficient

• Terms: These are the separate parts of an expression that are added or subtracted. In $2�+5$, the terms are $2�$ and $5$.
• Factors: These are the parts that make up a term. In $2�$, the factors are $2$ and $�$.
• Coefficient: This is the number part of a term. In $2�$, the coefficient is $2$.

4. Like and Unlike Terms

• Like terms: Terms that have the same variables, such as $8��$ and $3��$.
• Unlike terms: Terms that have different variables, such as $7��$ and $-3�$.

5. Monomial, Binomial, Trinomial, Polynomial

• Monomial: An expression with 1 term like $7��$.
• Binomial: An expression with 2 terms like $4�-3$.
• Trinomial: An expression with 3 terms like $3�+5�-6$.
• Polynomial: An expression with more than 3 terms.

6. Algebraic Expressions

These are combinations of variables, constants, and operators (like plus or minus). Examples include $2�+3$ and $3�+4��$.

7. Addition and Subtraction of Algebraic Expressions

• You can add or subtract like terms.
• For unlike terms, you group them together but keep them as they are.

8. Algebra as Patterns

Algebra helps us understand and create patterns. It's like building something with pencils or matchsticks and seeing how the pattern grows.

9. Number Patterns

Numbers follow certain rules or patterns. These can be lines, rectangles, squares, triangles, and other shapes made with dots.

10. Algebra in Geometry

Algebra helps to find diagonals in polygons, and to figure out the perimeter and area of shapes.

11. Equation

An equation is like a balance where both sides are equal. If they're not equal, then it's not an equation. Solving an equation means finding the value of the variable that makes both sides equal.

Conclusion

Algebra is a powerful part of math that helps us solve real-life problems, understand patterns, and make sense of numbers in new ways. By using variables, constants, and equations, we can explore and understand the world around us in a whole new light. It's like a game where we use letters and numbers to find the answers!

Class 6 math has always been a stepping stone for young learners as they venture into the world of algebra. The NCERT solutions provide the perfect guide for parents and students looking for the math class 6 NCERT answers to algebraic problems. Whether you're working on class 6 math question papers or looking to challenge yourself with a math class 6 quiz, understanding class 6 algebra, or algebra class 6, is essential. Algebra class 6th solutions are readily available in the chapter 11 class 6 maths sections.

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