Which of the following expressions represents the phrase "twice the sum of a number and 5"? O 2x+5 O 2(5) + x 2(x+5) O (*+ 5)2 NEXT QUESTION ASK FOR HELP TURNIT
Which of the following expressions represents the phrase "twice the sum of a number and 5"? O 2x+5 O 2(5) + x 2(x+5) O (*+ 5)2 NEXT QUESTION ASK FOR HELP TURNIT
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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Transcribed Image Text:### Educational Content on Translating Verbal Phrases into Mathematical Expressions
#### Question:
Which of the following expressions represents the phrase "twice the sum of a number and 5"?
#### Available Answer Choices:
- A) 2x + 5
- B) 2(5) + x
- C) 2(x + 5)
- D) \( (x + 5)^2 \)
#### Explanation:
To translate the phrase "twice the sum of a number and 5," let's break it down:
1. **Identify the sum of a number and 5:**
- The sum of a number (which we'll call \( x \)) and 5 is expressed mathematically as \( x + 5 \).
2. **Twice the sum:**
- To take "twice" this sum means to multiply the entire sum by 2.
Therefore, twice the sum of \( x \) and 5 is represented by the expression \( 2(x + 5) \).
#### Correct Answer:
The correct mathematical expression is:
- **C) 2(x + 5)**
This expression correctly represents the phrase as it multiplies the entire sum \( x + 5 \) by 2, indicating "twice the sum of a number and 5".
#### Image Analysis:
The image shows a question on a computer screen with multiple-choice options for selecting the correct mathematical expression based on the provided verbal phrase. Specifically, option C \( 2(x + 5) \) is selected, indicating it as the accurate representation.
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