Pregunta
Is the statement shown below an expression or an equation? \( 8 x+8=5 x-8 \) Expression Equation
Ask by Haynes Campbell. in the United States
Jan 09,2025
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The statement is an equation.
Solución
The statement you've provided is:
\[ 8x + 8 = 5x - 8 \]
**Answer:** **Equation**
### Explanation:
- **Expression:** A mathematical phrase that can include numbers, variables, and operations (like addition or multiplication) **but does not contain an equals sign**. For example, \(3x + 2\) is an expression.
- **Equation:** A mathematical statement that **includes an equals sign** (`=`) and shows that two expressions are equal. For example, \(8x + 8 = 5x - 8\) is an equation because it states that the expression on the left side of the equals sign is equal to the expression on the right side.
Since your statement includes an equals sign (`=`), it is classified as an **equation**.
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The statement \( 8 x+8=5 x-8 \) is an equation because it includes an equal sign (=), which indicates that the two sides of the statement are equal in value. An equation typically involves variables and can be solved, while an expression consists of numbers, variables, and operations but lacks an equal sign. To solve this equation, you can start by combining like terms and isolating the variable. For instance, you might subtract \( 5x \) from both sides and then move the constants to one side. Remember, watch out for sign changes when you move terms around, as those are common pitfalls! Happy solving!
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