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Chapter 1: Q. 58 (page 22)

Explain the difference between the phrases “4 times the sum ofx and y” and “the sum of 4 times x and y”.

Short Answer

Expert verified
  • The resultant expression for the phrase "4 times the sum ofx and y"is 4x+y.
  • The resultant expression for the phrase "the sum of 4 times xand y"is4x+y.

Step by step solution

01

Step 1. Given Information

The given phrase are "“4 times the sum ofx and y” and “the sum of 4 times xand y”.

02

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.

4x+y

03

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.

4x+y

04

Step 4. Conclusion.

The results of both phrases are different.

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

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