Question
Dmework Decide whether the following is an equation or an expression. \( p+m=3 \) Choose the correct answer. It is an expression. It is an equation.
Ask by Little Carrillo. in the United States
Mar 02,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
It is an equation.
Solution
To determine whether \( p + m = 3 \) is an equation or an expression, we need to understand the definitions of both terms:
- An **expression** is a combination of numbers, variables, and operators (like addition, subtraction, multiplication, and division) that does not include an equality sign. For example, \( p + m \) is an expression.
- An **equation** is a statement that two expressions are equal, which includes an equality sign. For example, \( p + m = 3 \) states that the expression \( p + m \) is equal to the number 3.
Since \( p + m = 3 \) contains an equality sign, it is classified as an equation.
Therefore, the correct answer is:
**It is an equation.**
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Simplify this solution Mind Expander
This is an equation! It has an equal sign (=) which shows that the left side, \( p + m \), is equal to the right side, 3. This means that you can find values for \( p \) and \( m \) that satisfy this relationship. Understanding the difference between expressions and equations is crucial in algebra. An expression (like \( p + m \) by itself) is just a combination of numbers, variables, and operations without any equality, whereas an equation asserts that two expressions are equal, allowing you to solve it for unknown variables!
