Formulating Algebraic Expressions

What Are Algebraic Expressions?

An algebraic expression is a combination of numbers, variables, and arithmetic operations (such as addition, subtraction, multiplication, and division). They are used to represent mathematical relationships and can be simplified or manipulated to solve problems.

For example:

• The expression (a + 3)(c - 4) represents the product of two binomials.

How to Formulate Algebraic Expressions

To create an algebraic expression, follow these steps:

1. Identify the Variables: Determine the unknown quantities in the problem and represent them with letters (e.g., x, y, a, b).
2. Determine the Operations: Decide which arithmetic operations connect the variables and constants (e.g., addition, subtraction).
3. Combine Elements: Write the expression by combining variables, constants, and operations.

 

Examples

Example 1: Formulate an Expression for the Product of Two Binomials

Problem: Find an expression for (a + 3)(c - 4).

 

Example 2: Formulate an Expression for a Sum and Product

Problem: Write an expression for the sum of twice a number x and the product of x and 5.