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Chapter 0: Problem 136

What is an algebraic expression? Give an example with your explanation.

Short Answer

Expert verified
An algebraic expression, such as \(3x + 2\), is a combination of variables, numbers, and at least one arithmetic operation. Variables can represent any number, and the expression includes addition, subtraction, multiplication, and division.

Step by step solution

01

Defining an Algebraic Expression

An algebraic expression is a mathematical expression that consists of numbers, variables and mathematical operators, but no equals sign. Variables can represent any number and the operators used in algebraic expressions include addition, subtraction, multiplication, and division.
02

Example of an Algebraic Expression

As an example, \(3x + 2\) is an algebraic expression. Here, \(x\) is the variable, 3 and 2 are constants (specific numbers), and the operations are multiplication and addition. This expression technically means '3 times some number, plus 2' where the 'some number' is whatever number \(x\) represents.

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