Understanding Algebraic Expressions | Definitions, Examples, and Evaluation

algebraic expression

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a mathematical relationship or a generalization of a problem or situation. Algebraic expressions are used to describe quantities, patterns, or relationships that can be solved or simplified.

Examples of algebraic expressions:

1. 3x + 2y – 5: This expression combines the variables x and y with the constants 3, 2, and 5 using addition and subtraction.

2. 4x^2 – 7y + 2: This expression includes both variables and exponents, where x is squared (x^2) and y is raised to the power of 1.

3. (a + b)^2 – 3c: Here, the expression is enclosed in parentheses, indicating that the addition of variables a and b is squared. It also includes a constant subtracted by variable c.

Algebraic expressions can be simplified or evaluated by following certain rules, such as combining like terms, distributing, and applying the order of operations. By simplifying an expression, you can often find its value or know more about the relationship it represents.

For example, if we evaluate the expression 3x + 2y – 5 when x = 2 and y = 3, we substitute these values into the expression:
3(2) + 2(3) – 5 = 6 + 6 – 5 = 7

Therefore, when x = 2 and y = 3, the value of the expression 3x + 2y – 5 is 7.

More Answers: