Determine whether each statement about the expression 4k - 7m + 6 is true or false. Select True or False for each statement. In the expression, 4k is a term. In one of the terms, m is a factor. The expression contains 3 variables. The expression contains 3 constants. O True O True O True O True O False O False O False O False

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Which ones are true and which ones are false
**Exercise: Analyzing the Expression \(4k - 7m + 6\)**

Determine whether each statement about the expression \(4k - 7m + 6\) is true or false.

**Select True or False for each statement:**

1. **In the expression, \(4k\) is a term.**
   - [ ] True
   - [ ] False

2. **In one of the terms, \(m\) is a factor.**
   - [ ] True
   - [ ] False

3. **The expression contains 3 variables.**
   - [ ] True
   - [ ] False

4. **The expression contains 3 constants.**
   - [ ] True
   - [ ] False

**Explanation:**

- **Terms:** The expression is composed of terms that are separated by addition or subtraction symbols. Here, the terms are \(4k\), \(-7m\), and \(6\).
- **Factors:** Factors are numbers or variables that are multiplied together. In the term \(-7m\), \(m\) is a factor.
- **Variables:** Variables are symbols that represent unknown values. In the expression, the variables are \(k\) and \(m\).
- **Constants:** Constants are fixed values. In this expression, \(6\) is the only constant.
Transcribed Image Text:**Exercise: Analyzing the Expression \(4k - 7m + 6\)** Determine whether each statement about the expression \(4k - 7m + 6\) is true or false. **Select True or False for each statement:** 1. **In the expression, \(4k\) is a term.** - [ ] True - [ ] False 2. **In one of the terms, \(m\) is a factor.** - [ ] True - [ ] False 3. **The expression contains 3 variables.** - [ ] True - [ ] False 4. **The expression contains 3 constants.** - [ ] True - [ ] False **Explanation:** - **Terms:** The expression is composed of terms that are separated by addition or subtraction symbols. Here, the terms are \(4k\), \(-7m\), and \(6\). - **Factors:** Factors are numbers or variables that are multiplied together. In the term \(-7m\), \(m\) is a factor. - **Variables:** Variables are symbols that represent unknown values. In the expression, the variables are \(k\) and \(m\). - **Constants:** Constants are fixed values. In this expression, \(6\) is the only constant.
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