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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### 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.

© 2014 Glynlyon, Inc. All rights reserved.
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. © 2014 Glynlyon, Inc. All rights reserved.
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