In the expression 2x + 8 - 3x + 1, what is the final constant term?

In the expression 2x + 8 - 3x + 1, what is the final constant term?

• A. 9
• B. 7
• C. 1
• D. 8

Answer: (B)

Let's break down the expression \( 2x + 8 - 3x + 1 \) step by step to find the final constant term. First, we need to combine the like terms, specifically the constant terms and the terms involving \( x \). 1. The terms involving \( x \) in the expression are \( 2x \) and \( -3x \). When we combine these, we perform the operation \( 2x - 3x \), which simplifies to \( -1x \) or simply \( -x \). 2. Next, we focus on the constant terms, which are \( 8 \) and \( 1 \). Adding these together gives us \( 8 + 1 = 9 \). Now, putting the simplified expression together, we have: \[ -x + 9 \] In this expression, \( 9 \) is the final constant term. As a result, the final constant term in \( 2x + 8 - 3x + 1 \) is \( 9 \). This indicates that the correct response coincides with the constant terms appropriately added together without alteration or omission.

Let's break down the expression ( 2x + 8 - 3x + 1 ) step by step to find the final constant term.

First, we need to combine the like terms, specifically the constant terms and the terms involving ( x ).

1. The terms involving ( x ) in the expression are ( 2x ) and ( -3x ). When we combine these, we perform the operation ( 2x - 3x ), which simplifies to ( -1x ) or simply ( -x ).

2. Next, we focus on the constant terms, which are ( 8 ) and ( 1 ). Adding these together gives us ( 8 + 1 = 9 ).

Now, putting the simplified expression together, we have:

[

-x + 9

]

In this expression, ( 9 ) is the final constant term.

As a result, the final constant term in ( 2x + 8 - 3x + 1 ) is ( 9 ). This indicates that the correct response coincides with the constant terms appropriately added together without alteration or omission.