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Chapter 1: Q. 49 (page 22)

In the following exercises, translate the phrases into algebraic expressions.

(a) five times the sum of 3xand y

(b) the sum of five times 3x and y

Short Answer

Expert verified

Part (a). The obtained expression is 53x+y.

Part (b). The obtained expression is 15x+y.

Step by step solution

01

Part (a). Step 1. Given Information

The given phrase is "five times the sum of3xandy ."

02

Part (a). Step 2. Identify the operation for the phrase. 

The word "times" denoted "the operation of multiplication" and "sum" denotes "the operation of addition."

03

Part (a). Step 3. Write the algebraic expression.  

Since five is multiplied by the sum, use parenthesis to group the appropriate sum.

53x+y

04

Part (b). Step 1. Given Information.  

The given phrase is "the sum of five times 3x and y."

05

Part (b). Step 2. Determine the numbers to be added. 

  • The word "of" and "and" shows that there are two numbers and the numbers are "five times 3xthat is 15x" and "y".
  • Write the algebraic expression for the given phrase by adding both the mentioned numbers.

15x+y

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