Answered

IDNLearn.com is your trusted platform for finding reliable answers. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.

Select the correct answer.

Which algebraic expression is equivalent to this expression?

[tex]\[ 3(2x - 8) - 11x \][/tex]

A. [tex]\(-5x - 8\)[/tex]
B. [tex]\(-5x - 24\)[/tex]
C. [tex]\(-17x + 24\)[/tex]
D. [tex]\(-17x - 24\)[/tex]

Sagot :

GinnyAnsweridn
To determine which algebraic expression is equivalent to the given expression [tex]\( 3(2x - 8) - 11x \)[/tex], let's simplify it step-by-step:

1. Distribute the 3 within the parentheses:
[tex]\[ 3(2x - 8) - 11x \][/tex]
[tex]\[ 3 \cdot 2x + 3 \cdot (-8) - 11x \][/tex]
[tex]\[ 6x - 24 - 11x \][/tex]

2. Combine like terms:
- Combine the [tex]\(6x\)[/tex] and [tex]\( -11x\)[/tex].
[tex]\[ 6x - 11x - 24 \][/tex]
[tex]\[ (6 - 11)x - 24 \][/tex]
[tex]\[ -5x - 24 \][/tex]

The simplified expression is [tex]\(-5x - 24\)[/tex].

From the given options, the equivalent expression is:

A. [tex]\(-5x - 8\)[/tex]

B. [tex]\(-5x - 24\)[/tex]

C. [tex]\(-17x + 24\)[/tex]

D. [tex]\(-17x - 24\)[/tex]

Reviewing the options, the correct one is:

B. [tex]\(-5x - 24\)[/tex]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.