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Chapter 1: Q 184. (page 40)

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

Short Answer

Expert verified

鈥�4 times the sum of x and y鈥� means4(x+y).

鈥渢he sum of 4 times x and y鈥� means4x+y.

Step by step solution

01

Step 1. Given information

The given phrases are: 鈥�4 times the sum of x and y鈥� and 鈥渢he sum of 4 times x and y鈥�

02

Step 2. Find the keywords and translate the phrase 1 into algebraic expression.

鈥�4 times the sum of x and y鈥� means4(x+y).

03

Step 3. Find the keywords and translate the phrase 2 into algebraic expression.

鈥渢he sum of 4 times x and y鈥� means4x+y.

04

Step 4. Write the algebraic expressions of both phrases to show the difference.

鈥�4 times the sum of x and y鈥� means4(x+y).

鈥渢he sum of 4 times x and y鈥� means 4x+y.

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