CBSE Class 7 Algebraic Expression Worksheet with Answers

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: NCERT Solutions for Class 7 Maths | CBSE Class 7 Maths Syllabus

Algebraic Expressions Class 7 Worksheet with Answer

Students are advised to solve these worksheet practice questions and check their level of preparation

Algebraic Expressions Class 7 Worksheet 1 Practice Exercise

1. Simplify the following expressions:

1. 5x + 3x - 2x
2. 7y - 4y + 9
3. 3a + 4a - 5 + 2

2. Identify the coefficients in the following algebraic expressions:

1. 7x + 9
2. 3m - 5n + 2
3. -4p + 6q - 3

3. Form an algebraic expression for the following statements:

1. The sum of three times a number x and 11.
2. The product of 5 and the difference of a number y and 4.
3. Twice the sum of a number z and 3.

4. Add the following algebraic expressions:

1. 2x + 5y and 3x - 4y
2. 7a - 3b + 2 and 4a + 5b - 6
3. x + 2y - 3z and -x + y + 4z

5. Subtract the second expression from the first:

1. 6m + 9n from 12m - 5n
2. 3p - 4q + 2 from 7p + 6q - 3
3. x - 2y + 3z from 4x + y - z

6. Multiply the following expressions:

1. 2x (3x + 5)
2. -4y (y - 7)
3. 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:

1. 3a + 2b - c
2. 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:

1. 5x + 3x - 2x = 6x
2. 7y - 4y + 9 = 3y + 9
3. 3a + 4a - 5 + 2 = 7a - 3

2. Identify the coefficients in the following algebraic expressions:

1. 7x + 9 (Coefficient of x is 7)
2. 3m - 5n + 2 (Coefficient of m is 3, coefficient of n is -5)
3. -4p + 6q - 3 (Coefficient of p is -4, coefficient of q is 6)

3. Form an algebraic expression for the following statements:

1. The sum of three times a number x and 11: 3x + 11
2. The product of 5 and the difference of a number y and 4: 5(y - 4)
3. Twice the sum of a number z and 3: 2(z + 3)

4. Add the following algebraic expressions:

1. 2x + 5y and 3x - 4y = 5x + y
2. 7a - 3b + 2 and 4a + 5b - 6 = 11a + 2b - 4
3. x + 2y - 3z and -x + y + 4z = 3y + z

5. Subtract the second expression from the first:

1. 12m - 5n - (6m + 9n) = 6m - 14n
2. 7p + 6q - 3 - (3p - 4q + 2) = 4p + 10q - 5
3. 4x + y - z - (x - 2y + 3z) = 3x + 3y - 4z

6. Multiply the following expressions:

1. 2x (3x + 5) = 6x^2 + 10x
2. -4y (y - 7) = -4y^2 + 28y
3. 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:

1. 3a + 2b - c = 3(2) + 2(-3) - 4 = 6 - 6 - 4 = -4
2. 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:

1. 4x - 5y + 6 = 4(3) - 5(-2) + 6 = 12 + 10 + 6 = 28

Class 7 All Subject Worksheet

• Worksheets for Class 7 Maths
• Worksheets for Class 7 English
• Worksheets for Class 7 Science
• Worksheets for Class 7 Social Science 

Algebraic Expressions Class 7 Worksheet 2

1. Evaluate the following expressions when x = 2, y = -1, and z = 3:

1. 4x - 3y + 2z
2. 2x^2 - y^2 + z
3. x - y + z^2

2. Simplify the following expressions by combining like terms:

1. 6a + 4b - 3a + 2b
2. 7m - 5n + 2m - 3n
3. 5p + 4q - 2p + q

3. Form an algebraic expression for the following statements:

1. The difference between twice a number x and 5.
2. Three times the sum of a number y and 4.
3. The product of 6 and the square of a number z.

4. Subtract the first expression from the second:

1. 5x - 3y from 7x + 2y
2. 4a + 6b from 8a - 5b
3. 3p - 2q from 5p + 4q

5. Divide the following expressions:

1. 6x^2 ÷ 2x
2. 8y^3 ÷ 4y^2

Worksheet on Algebraic Expression Class 7 Downlaod PDF

A good resource that students can use to review their knowledge of algebraic concepts is the Worksheet on Algebraic Expression for Class 7. This downloadable PDF worksheet aims to offer a lot of practice in areas discussed in Chapter 10 of Class 7 Maths, such as building and simplifying algebraic expressions, operations on these expressions, and the use of the expressions to solve real-life problems. 

Students can easily download the Worksheet on algebraic expressions Class 7 with answers PDF and receive a range of well-organized exercises that they can practice at their own speed at any time and place. There are various levels of problems in the worksheet, both simple and challenging. It is a great revisioning and self-assessment tool that helps the student to define gaps in which areas they still require additional 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: Learning algebraic expressions in Class 7 is the foundation of more difficult algebraic problems in higher classes.

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