Question

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)

Answer 1

The equation that represents the given verbal statement is 6 + 2(x + 4) = ½(3 − x), which translates the words into algebraic expressions and sets them equal as per the statement.

Step-by-step explanation:

The correct equation to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number" is:

6 + 2(x + 4) = ½(3 − x)

Let's break down the statement and turn it into an equation step by step:

• Six added to indicates we start with a six and add something to it.
• Twice the sum of a number (x) and four is written as 2(x + 4).
• Finally, is equal to one-half of the difference of three and the number translates to ½(3 − x).

Putting it all together, we get the equation above, which correctly represents the given verbal statement.

Answer 2

A) 6+2 (x+4) = 1/2 (3-x)

It's correct on ed2020 :)