Problem 99 In the following exercises, dete... [FREE SOLUTION]

Chapter 1: Problem 99

In the following exercises, determine if each is an expression or an equation. $$5 路 4 + 3$$

Short Answer

Expert verified

It is an expression.

Step by step solution

Define Expression and Equation

An expression is a combination of numbers, variables, and operations without an equality sign. An equation contains an equality sign (= ) and shows that two expressions are equal.

Identify Components of Given Problem

Observe the provided mathematical statement: 5 路 4 + 3

Check for Equality Sign

Look for an equality sign in the given statement 5 路 4 + 3. Since there is no equality sign present, we do not have an equation.

Conclusion

Since 5 路 4 + 3 lacks an equality sign, it is an expression.

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Key Concepts

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

expression definition

Think of an expression as a sentence made of numbers and symbols. There is no 'equals' sign. It is like a phrase in math. Expressions can include:

Numbers (like 5 or 7)
Variables (like x or y)
Operations (like +, -, *, and /)

An example of an expression is: $3x + 4$. Notice it doesn't end with an equals sign. Expressions show a value that can change.

equation definition

An equation is different from an expression. It is like a full sentence in math. An equation has an '=' sign. This '=' sign shows that two sides are equal. Equations can include:

Two expressions (one on each side of the '=')
Equality sign to show both sides are the same

For example, $2x + 3 = 7$ is an equation. Here, $2x + 3$ is equal to 7. This shows balance between both sides. Equations often require you to solve for a variable.

identifying expressions

Identifying if a mathematical statement is an expression or an equation is easy! Follow these steps:

Look for an '=' sign.
If there is no '=' sign, it is an expression.
If there is an '=' sign, it is an equation.

Let's use the example from the exercise: $5 路 4 + 3$. To identify whether it is an expression or an equation, check for the '=' sign. Since there is no '=' sign, $5 路 4 + 3$ is an expression.

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91影视

In the following exercises, determine if each is an expression or an equation. $$5 路 4 + 3$$

Short Answer

Step by step solution

Define Expression and Equation

Identify Components of Given Problem

Check for Equality Sign

Conclusion

Key Concepts

expression definition

equation definition

identifying expressions

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