Problem 13 Simplify. $$ 3 x-5 $$... [FREE SOLUTION]

91影视

Elementary Algebra

John Redden

$Math Studyset 91影视 Explanations$ Math

2011 Edition

Chapter 5: Problem 13

Simplify. $$ 3 x-5 $$

Short Answer

Expert verified

$3x - 5$ is already simplified.

Step by step solution

Identify Expression

The expression given to us is $3x - 5$. To simplify means to perform any possible arithmetic operations or combine like terms if possible.

Evaluate Simplification

In the expression $3x - 5$, there are no like terms to combine and no arithmetic operations to perform since $3x$ is separate from $-5$. Thus, the expression is already in its simplest form.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Like Terms

When working with algebraic expressions, understanding "like terms" is crucial to simplification. Like terms are terms that contain the same variable raised to the same power. In our expression, we have terms:

$3x$ 鈥� a term with the variable $x$
$-5$ 鈥� a constant term with no variables

Because these terms do not share the same variable components, they are not like terms. Therefore, they cannot be combined. When simplifying expressions, always look to combine only like terms to streamline the equation.

Arithmetic Operations

Arithmetic operations are the basic mathematical operations including addition, subtraction, multiplication, and division.
While simplifying algebraic expressions, these operations help you to combine or reduce terms. In the expression given, $3x - 5$, there are no arithmetic operations needed between the terms since one is a variable term ($3x$) and the other is a constant ($-5$).
To simplify, you would only perform arithmetic operations if it results in the combination of like terms or in a more concise expression. In this example, the minus sign indicates subtraction, but since $3x$ and $-5$ are not like, the operation cannot be applied to simplify further.

Simplest Form

An expression is in its "simplest form" when no further simplification can be performed. Simplification means reducing the expression to fewer or more basic terms without changing its value. In the context of $3x - 5$:- There are no like terms to combine.- No further arithmetic operations can help simplify further.Thus, the expression $3x - 5$ is already in its simplest form.
It's always a good step to double-check if like terms exist or if any basic arithmetic can be performed to ensure the expression is as simple as possible.Remember, simplifying makes an expression easier to work with but doesn't alter its original meaning.

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91影视

Simplify. $$ 3 x-5 $$

Short Answer

Step by step solution

Identify Expression

Evaluate Simplification

Key Concepts

Like Terms

Arithmetic Operations

Simplest Form

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