Which of the following represents a simplification of 10x - 3x + 2?

Which of the following represents a simplification of 10x - 3x + 2?

• A. 7x + 2
• B. 15x + 2
• C. 10x + 2
• D. 10x - 3

Answer: (A)

To simplify the expression \(10x - 3x + 2\), we start by identifying and combining like terms. Like terms are terms that have the same variable raised to the same power. In this case, \(10x\) and \(-3x\) are like terms. To combine them, we perform the subtraction: \[ 10x - 3x = (10 - 3)x = 7x \] Next, the expression also includes a constant term, which is \(+2\). Since there are no other constant terms to combine with, we simply keep this term as it is. Now we can combine our results: \[ 7x + 2 \] Thus, the simplified form of the original expression \(10x - 3x + 2\) is indeed \(7x + 2\). This confirms why the correct answer is accurately represented as \(7x + 2\). The other options do not reflect the correct simplification, as they either misrepresent the coefficients of \(x\) or fail to properly include the constant term.

To simplify the expression (10x - 3x + 2), we start by identifying and combining like terms. Like terms are terms that have the same variable raised to the same power.

In this case, (10x) and (-3x) are like terms. To combine them, we perform the subtraction:

[

10x - 3x = (10 - 3)x = 7x

]

Next, the expression also includes a constant term, which is (+2). Since there are no other constant terms to combine with, we simply keep this term as it is.

Now we can combine our results:

[

7x + 2

]

Thus, the simplified form of the original expression (10x - 3x + 2) is indeed (7x + 2). This confirms why the correct answer is accurately represented as (7x + 2). The other options do not reflect the correct simplification, as they either misrepresent the coefficients of (x) or fail to properly include the constant term.