Problem 18 Identify as an expression or an ... [FREE SOLUTION]

91影视

Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 3: Problem 18

Identify as an expression or an equation. $$24-5 x=12+x$$

Short Answer

Expert verified

The statement is an equation.

Step by step solution

Identify the components

Look at the given mathematical statement: \[24-5x = 12+x\]Identify and separate the components on both sides of the equal sign.

Check for an equal sign

Verify if the statement contains an equal sign (=). In this case, \[24-5x = 12+x\] includes an equal sign.

Determine if it's an equation

Since the given statement \[24-5x = 12+x\] contains an equal sign, it sets two expressions equal to each other. Therefore, it's an equation.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Identifying Equations

It鈥檚 important to distinguish between expressions and equations in prealgebra. An equation is a mathematical statement where two expressions are set equal to each other using an equal sign (=). For instance, in the statement `24 - 5x = 12 + x`, we see an equal sign, indicating that the values on either side of the sign should be the same. By simply identifying the presence of an equal sign, you can quickly determine that a statement is an equation. Equations are fundamental in mathematics because they show relationships between different quantities.

Mathematical Statements

Mathematical statements can either be expressions or equations. An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represent a value. For example, `5x + 3` or `24 - 7`. These expressions do not include an equal sign. On the other hand, an equation ties two expressions together with an equal sign, suggesting that they have the same value. In the given exercise, the statement `24 - 5x = 12 + x` is a mathematical statement where both sides of the equal sign need to balance out. Identifying whether a statement is an expression or an equation helps in solving mathematical problems appropriately.

Components of an Equation

Understanding the components of an equation is crucial. Let's consider `24 - 5x = 12 + x`. Here are the key components:

Variables: Letters that represent unknown values, such as `x` in this example.
Coefficients: Numbers that multiply the variables, like `-5` and `1` (implicit) in front of `x`.
Constants: Fixed numbers without variables, such as `24` and `12`.
Operators: Symbols that indicate the operations to perform, such as `-` and `+`.
Equal Sign: The equal sign `=` indicates that two sides of the equation have the same value.

By identifying and understanding these components, you can better approach and solve equations. It鈥檚 like breaking down a problem into manageable parts.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Identify as an expression or an equation. $$24-5 x=12+x$$

Short Answer

Step by step solution

Identify the components

Check for an equal sign

Determine if it's an equation

Key Concepts

Identifying Equations

Mathematical Statements

Components of an Equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Decision Maths

Geometry

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.