Question
\( 2.5 a+2+7+6 a \) Terms Like Terms Coefficients Constants
Ask by Huff George. in the United States
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- **Terms:** \( 2.5a, 2, 7, 6a \)
- **Like Terms:** \( 2.5a \) and \( 6a \)
- **Coefficients:** \( 2.5 \) and \( 6 \)
- **Constants:** \( 2 \) and \( 7 \)
Solution
Let's analyze the expression \( 2.5a + 2 + 7 + 6a \) step by step.
### 1. Terms
A term is a single mathematical expression. In this case, the terms in the expression are:
- \( 2.5a \)
- \( 2 \)
- \( 7 \)
- \( 6a \)
### 2. Like Terms
Like terms are terms that have the same variable raised to the same power. In this expression, the like terms are:
- \( 2.5a \) and \( 6a \) (both are terms with the variable \( a \))
### 3. Coefficients
The coefficient is the numerical factor in a term. In this expression:
- The coefficient of \( 2.5a \) is \( 2.5 \)
- The coefficient of \( 6a \) is \( 6 \)
### 4. Constants
Constants are terms that do not contain any variables. In this expression:
- The constants are \( 2 \) and \( 7 \)
### Summary
- **Terms:** \( 2.5a, 2, 7, 6a \)
- **Like Terms:** \( 2.5a, 6a \)
- **Coefficients:** \( 2.5 \) (for \( 2.5a \)), \( 6 \) (for \( 6a \))
- **Constants:** \( 2, 7 \)
If you need further calculations or simplifications, please let me know!
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
In the expression \( 2.5a + 2 + 7 + 6a \), you have various components. The terms are simply the different parts of the expression separated by the plus sign, leading to four terms: \( 2.5a \), \( 2 \), \( 7 \), and \( 6a \). The like terms here are those that share the same variable, which are \( 2.5a \) and \( 6a \). When you break it down further, the coefficients are the numerical factors in front of the variables. In this case, \( 2.5 \) and \( 6 \) are the coefficients of \( a \). The constants in this expression are the numbers without variables, namely \( 2 \) and \( 7 \), which can be combined to simplify the expression!
