Q. 58 Explain the difference between t... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 58 (page 22)

Explain the difference between the phrases 鈥�4 times the sum ofx and y鈥� and 鈥渢he sum of 4 times x and y鈥�.

Short Answer

Expert verified

The resultant expression for the phrase "4 times the sum ofx and y"is $4 (x + y)$ .
The resultant expression for the phrase "the sum of 4 times xand y"is $4 x + y$ .

Step by step solution

Step 1. Given Information

The given phrase are "鈥�4 times the sum ofx and y鈥� and 鈥渢he sum of 4 times xand y鈥�.

Step 2. Write the algebraic expression for the phrase "4 times the sum of x and y."

The keyword "times and "sum" shows the operation of multiplication and the operation of addition respectively.
After observing the word "of" and "and", there are two numbers, xand y ,and they are added. Multiply the sum by 4.

$4 (x + y)$

Step 3. Write the algebraic expression for the phrase "the sum of 4 times x and y”.

Follow the previous step, there are two numbers, which are "4 times xor 4x"and"y".
The number4x added to y.

$4 x + y$

Step 4. Conclusion.

The results of both phrases are different.

The resultant expression for the phrase "4 times the sum ofx and y"is $4 (x + y)$ .
The resultant expression for the phrase "the sum of 4 times xand y"is $4 x + y$ .

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91影视

Explain the difference between the phrases 鈥�4 times the sum ofx and y鈥� and 鈥渢he sum of 4 times x and y鈥�.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Write the algebraic expression for the phrase "4 times the sum of x and y."

Step 3. Write the algebraic expression for the phrase "the sum of 4 times x and y”.

Step 4. Conclusion.

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