Question
Vocabulaxy Choose the best term from the box to complete each defin 1. In \( 6 x, x \) is \( a(n) \) 2. \( x+5 \) is an example of \( a(n) \)
Ask by Moreno Morgan. in the United States
Jan 23,2025
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Tutor-Verified Answer
Answer
1. In \( 6x \), \( x \) is a **variable**.
2. \( x + 5 \) is an **expression**.
Solution
Sure, let's complete each definition using the appropriate mathematical terms.
1. **In \( 6x \), \( x \) is a(n) **_**variable**_**.
- **Explanation:** In the expression \( 6x \), \( x \) represents a variable because it can take on different values.
2. **\( x + 5 \) is an example of a(n) **_**expression**_**.
- **Explanation:** The term \( x + 5 \) is an algebraic expression, which is a combination of variables and constants connected by operations such as addition.
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**Summary of Terms:**
1. **Variable**
2. **Expression**
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Simplify this solution Bonus Knowledge
In \( 6x, x \) is a variable. Variables are symbols that represent unknown values in mathematical expressions. They allow us to formulate equations and solve problems with unknowns, making them essential components of algebra. \( x+5 \) is an example of an expression. Expressions combine numbers, variables, and operations but do not contain an equal sign. They can be simplified, added, subtracted, or even evaluated for specific values of the variables involved, showcasing the flexibility of mathematical notation.
