Question

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

Answer 1

The answer is:

⇒ below

Work/explanation:

First of all, the sum is what we get when we add two numbers together.

Next, "times" is when we multiply. 4 times 7 is 28.

With that in mind, we should be able to solve the rest of the problem.

First, the sum of c and y is c + y.

Then, 4 times the sum is 4(c + y).

So 4 times the sum of c and y is 4(c + y)

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Now, the sum of 4 times x and y is : 4x + y.

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In the previous expression, we had 4 times the sum, while here we have 4 times the number x.

Hemce, these are the answers.

Answer 2

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.

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!