Question

Explain the difference between “4 times the sum of c and y” and “ the sum of 4 times x and y”

Answer 1

Answer:

Expression A:  4(c + y)

Expression B:   4x + y

The difference between the two expressions is that in Expression (A), we first add c and y together and then multiply the sum by 4.

In expression (B), we first multiply x by 4 and then add y to the result.

Step-by-step explanation:

Explain the difference between “4 times the sum of c and y” and “ the sum of 4 times x and y”:

• Now let's compare the two expressions:

         4x + y

• Expression A:  

         4 ( c + y )

• Expression B:

         4x + y

The difference between the two expressions is that in Expression(A), we first add c and y together and then multiply the sum by 4.

In Expression (B), we first multiply x  by 4 and then add y to the result.

• Solve the problem:

Let's represent the two expressions using mathematical notation.

• Expression A:

"4 times the sum of c and y"

• Step 1: Write the sum of c and y:

( C + y )

• Expression B: "The sum of 4 times x and y"

• Step 1: Multiply x by 4

         4x

• Step 2: Add y to the result

         4x  +  y

• Now let's compare the two expressions:

Expression A:  4(c + y)

Expression B:   4x + y

The difference between the two expressions is that in Expression (A), we first add c and y together and then multiply the sum by 4.

In expression (B), we first multiply x by 4 and then add y to the result.

I hope this helps you!