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CBSE Class 7 Algebraic Expression Worksheet
The CBSE Class 7 Algebraic Expression Worksheet is a crucial tool aligned with the CBSE syllabus to improve students’ grasp of Class 7 Maths Chapter 10. These worksheets offer a range of exercises to aid students in understanding algebraic expressions. They cover simplifying expressions, solving equations, and grasping variables. Through consistent practice with these worksheets, students can strengthen their algebraic abilities, laying a solid groundwork for future math studies in the CBSE curriculum.
Class 7 Maths Chapter 10 Algebraic Expression
Class 7 Maths Chapter 10, titled “Algebraic Expressions,” is a significant part of the curriculum introducing students to basic algebra concepts. They learn about algebraic expressions, which are mathematical expressions containing variables, constants, and operations like addition, subtraction, multiplication, and division.
Key topics in this chapter include:
- Introduction to Algebraic Expressions: Understanding terms, coefficients, and variables in algebraic expressions.
- Types of Algebraic Expressions: Learning about monomials, binomials, and polynomials.
- Operations on Algebraic Expressions: Performing addition, subtraction, multiplication, and division on algebraic expressions.
- Simplification of Algebraic Expressions: Simplifying expressions by combining like terms and using the distributive property.
- Using Algebraic Expressions in Real-Life Situations: Applying algebraic expressions to solve practical problems.
Also Check: CBSE Class 7 Maths Syllabus
Algebraic Expressions Class 7 Worksheet with Answer
Algebraic Expressions Class 7 Worksheet 1 Practice Exercise
1. Simplify the following expressions:
- 5x + 3x – 2x
- 7y – 4y + 9
- 3a + 4a – 5 + 2
2. Identify the coefficients in the following algebraic expressions:
- 7x + 9
- 3m – 5n + 2
- -4p + 6q – 3
3. Form an algebraic expression for the following statements:
- The sum of three times a number x and 11.
- The product of 5 and the difference of a number y and 4.
- Twice the sum of a number z and 3.
4. Add the following algebraic expressions:
- 2x + 5y and 3x – 4y
- 7a – 3b + 2 and 4a + 5b – 6
- x + 2y – 3z and -x + y + 4z
5. Subtract the second expression from the first:
- 6m + 9n from 12m – 5n
- 3p – 4q + 2 from 7p + 6q – 3
- x – 2y + 3z from 4x + y – z
6. Multiply the following expressions:
- 2x (3x + 5)
- -4y (y – 7)
- 5 (2a – 3b + 4)
7. Create an algebraic expression to represent the perimeter of a rectangle with length (l) and width (w).
8. If a = 2, b = -3, and c = 4, find the value of the following expression:
- 3a + 2b – c
- 5a – 4b + 2c
9. Simplify the expression and then find its value when x = 3 and y = -2:
4x – 5y + 6
Answer
1. Simplify the following expressions:
- 5x + 3x – 2x = 6x
- 7y – 4y + 9 = 3y + 9
- 3a + 4a – 5 + 2 = 7a – 3
2. Identify the coefficients in the following algebraic expressions:
- 7x + 9 (Coefficient of x is 7)
- 3m – 5n + 2 (Coefficient of m is 3, coefficient of n is -5)
- -4p + 6q – 3 (Coefficient of p is -4, coefficient of q is 6)
3. Form an algebraic expression for the following statements:
- The sum of three times a number x and 11: 3x + 11
- The product of 5 and the difference of a number y and 4: 5(y – 4)
- Twice the sum of a number z and 3: 2(z + 3)
4. Add the following algebraic expressions:
- 2x + 5y and 3x – 4y = 5x + y
- 7a – 3b + 2 and 4a + 5b – 6 = 11a + 2b – 4
- x + 2y – 3z and -x + y + 4z = 3y + z
5. Subtract the second expression from the first:
- 12m – 5n – (6m + 9n) = 6m – 14n
- 7p + 6q – 3 – (3p – 4q + 2) = 4p + 10q – 5
- 4x + y – z – (x – 2y + 3z) = 3x + 3y – 4z
6. Multiply the following expressions:
- 2x (3x + 5) = 6x^2 + 10x
- -4y (y – 7) = -4y^2 + 28y
- 5 (2a – 3b + 4) = 10a – 15b + 20
7. Create an algebraic expression to represent the perimeter of a rectangle with length (l) and width (w):
Perimeter = 2l + 2w
8. If a = 2, b = -3, and c = 4, find the value of the following expression:
- 3a + 2b – c = 3(2) + 2(-3) – 4 = 6 – 6 – 4 = -4
- 5a – 4b + 2c = 5(2) – 4(-3) + 2(4) = 10 + 12 + 8 = 30
9. Simplify the expression and then find its value when x = 3 and y = -2:
- 4x – 5y + 6 = 4(3) – 5(-2) + 6 = 12 + 10 + 6 = 28
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Algebraic Expressions Class 7 Worksheet 2
1. Evaluate the following expressions when x = 2, y = -1, and z = 3:
- 4x – 3y + 2z
- 2x^2 – y^2 + z
- x – y + z^2
2. Simplify the following expressions by combining like terms:
- 6a + 4b – 3a + 2b
- 7m – 5n + 2m – 3n
- 5p + 4q – 2p + q
3. Form an algebraic expression for the following statements:
- The difference between twice a number x and 5.
- Three times the sum of a number y and 4.
- The product of 6 and the square of a number z.
4. Subtract the first expression from the second:
- 5x – 3y from 7x + 2y
- 4a + 6b from 8a – 5b
- 3p – 2q from 5p + 4q
5. Divide the following expressions:
- 6x^2 ÷ 2x
- 8y^3 ÷ 4y^2
Worksheet on Algebraic Expression Class 7 PDF
The Worksheet on Algebraic Expression for Class 7 PDF is a valuable resource for students seeking to reinforce their understanding of algebraic concepts. This downloadable PDF worksheet is designed to provide extensive practice in topics covered in Class 7 Maths Chapter 10, including forming and simplifying algebraic expressions, performing operations, and applying these expressions to solve real-world problems.
By downloading the PDF, students can conveniently access a variety of well-structured exercises anytime and anywhere, enabling them to practice at their own pace. The worksheet includes a range of problems, from basic to advanced, catering to different levels of learning. It is an excellent tool for revision and self-assessment, helping students to identify areas where they need further practice.
Importance of Algebraic Expressions Class 7 Worksheet
Algebraic Expressions Class 7 Worksheets are important educational tools that provide several benefits for students in their learning journey:
- Reinforcement of Concepts: These worksheets offer extensive practice in understanding and manipulating algebraic expressions, helping to reinforce the concepts taught in class.
- Skill Development: By working through various types of problems, students develop critical thinking and problem-solving skills, which are essential for success in mathematics.
- Confidence Building: Regular practice with these worksheets helps students gain confidence in their ability to handle algebraic expressions, reducing anxiety during exams.
- Preparation for Advanced Topics: Mastering algebraic expressions in Class 7 lays the groundwork for more advanced algebraic topics in higher classes.
- Customized Learning: Worksheets can be tailored to address the specific needs and learning pace of individual students, providing a personalized learning experience.
Overall, Algebraic Expressions Class 7 Worksheets are valuable resources for students to practice and master the fundamental concepts of algebra, setting a strong foundation for future mathematical studies.
Why Choose Infinity Learn Worksheet on Algebraic Expression Class 7
Choosing Infinity Learn Worksheet on Algebraic Expression Class 7 offers several advantages:
- Expert-Curated Content: The worksheets are designed by experienced educators, ensuring that the content aligns with the curriculum and effectively covers key concepts.
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- Progress Tracking: The platform allows students to track their progress, helping them identify areas of strength and those that need improvement.
- Personalized Experience: Infinity Learn offers customized worksheets that cater to the individual learning needs and pace of each student, enhancing their understanding of algebraic expressions.
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Overall, choosing Infinity Learn Worksheet on Algebraic Expression Class 7 ensures a comprehensive, interactive, and personalized learning experience that helps students excel in their understanding of algebraic expressions.
Other Study Resources for Class 7 | |
NCERT Solutions for Class 7 | Worksheets for Class 7 |
NCERT Textbooks for Class 7 | NCERT Exemplar Solutions Class 7 |
FAQs on Algebraic Expressions Class 7 Worksheet
What is algebraic expression for Class 7?
An algebraic expression for Class 7 is a mathematical phrase that combines numbers, variables, and operation symbols to represent a value or a relationship.
What are the 4 types of algebraic expressions?
The four types of algebraic expressions are monomials (one term), binomials (two terms), trinomials (three terms), and polynomials (more than three terms).
Why is it important to solve algebraic expressions Class 7 worksheet?
Solving algebraic expressions Class 7 worksheets is important because it helps students understand and apply algebraic concepts, improving their problem-solving skills and preparing them for advanced math topics.
What are expressions in Grade 7 algebra?
In Grade 7 algebra, expressions are combinations of numbers, variables, and operations that represent a value or a mathematical relationship.
Who is the father of algebra?
The father of algebra is the Persian mathematician Muhammad ibn Musa al-Khwarizmi, who wrote a groundbreaking book in the 9th century that laid the foundations for modern algebra.