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
0 Comments