CLASS 07 CBSE: Algebraic Expression Worksheet & Test paper

Introduction

An algebraic expression is a mathematical expression that consists of variables, constants, and mathematical operations. It is a way of representing a value or a relationship between values using symbols, numbers, and mathematical operations.

Variables and Constants

- Variables: A variable is a symbol that represents a value that can change. For example, x, y, z, etc.

- Constants: A constant is a value that does not change. For example, 2, 5, 7, etc.

07 CBSE Algebraic Expressions-Worksheet

Algebraic Expressions

An algebraic expression can be a combination of variables, constants, and mathematical operations. For example:

 2x + 3

 x - 4

 3x^2 + 2x - 1

Types of Algebraic Expressions

Monomial: An algebraic expression with only one term. For example, 2x, 3y, etc.

Binomial: An algebraic expression with two terms. For example, x + y, 2x - 3, etc.

Polynomial: An algebraic expression with three or more terms. For example, x^2 + 2x + 1, 2x^3 - 3x^2 + x - 1, etc.

Operations on Algebraic Expressions

Addition: Adding two or more algebraic expressions. For example, (2x + 3) + (x - 2) = 3x + 1.

Subtraction: Subtracting one algebraic expression from another. For example, (2x + 3) - (x - 2) = x + 5.

Multiplication: Multiplying two or more algebraic expressions. For example, (2x + 3) × (x - 2) = 2x^2 - x - 6.

Division: Dividing one algebraic expression by another. For example, (2x + 3) ÷ (x - 2) = (2x + 3)/(x - 2).

Simplifying Algebraic Expressions

Simplifying an algebraic expression means combining like terms and removing any unnecessary symbols or operations. For example:

2x + 3x = 5x

x^2 + 2x + x^2 = 2x^2 + 2x

07 CBSE Algebraic Expressions-Real-World Applications

Algebraic expressions are used in various real-world applications, such as:

Science: Algebraic expressions are used to describe the laws of physics, chemistry, and biology.

Engineering: Algebraic expressions are used to design and optimize systems, such as electronic circuits and mechanical systems.

Economics: Algebraic expressions are used to model economic systems and make predictions about economic trends.

07 CBSE Algebraic Expressions-FAQs

1. What is an algebraic expression?

An algebraic expression is a mathematical expression that consists of variables, constants, and mathematical operations.

2. What is a variable?

A variable is a symbol that represents a value that can change.

3. What is a constant?

A constant is a value that does not change.

Practice Questions

1. Simplify the expression: 2x + 3x

2. Add the expressions: (2x + 3) + (x - 2)

3. Multiply the expressions: (2x + 3) × (x - 2)

4. Divide the expressions: (2x + 3) ÷ (x - 2)

5. Solve the equation: 2x + 3 = 5

07 CBSE Algebraic Expressions-Worksheet- https://t.me/cgscbsesupportbypramodsir/28

07 CBSE Algebraic Expressions-Test Paper-https://t.me/cgscbsesupportbypramodsir/27