High School

What is the simplified value of the expression below?

[tex]8.5 + (12 + 4) \times 2 - 7[/tex]

A. 10.5
B. 33.5
C. 88.5
D. 97.5

Answer :

Sure! Let's walk through simplifying the expression step-by-step:

The expression we are dealing with is:
[tex]\[8.5 + (12 + 4) \times 2 - 7\][/tex]

1. Evaluate the parentheses:
Inside the parentheses, add [tex]\(12\)[/tex] and [tex]\(4\)[/tex]:
[tex]\(12 + 4 = 16\)[/tex]

2. Perform the multiplication:
Now, take the result from the parentheses, which is [tex]\(16\)[/tex], and multiply it by [tex]\(2\)[/tex]:
[tex]\(16 \times 2 = 32\)[/tex]

3. Complete the expression:
Substitute the results back into the expression and solve it step by step:
Start with [tex]\(8.5\)[/tex], add the product you got from the multiplication above, and finally subtract [tex]\(7\)[/tex]:
[tex]\(8.5 + 32 - 7\)[/tex]

4. Final calculation:
First, add [tex]\(8.5 + 32\)[/tex]:
[tex]\(8.5 + 32 = 40.5\)[/tex]
Next, subtract [tex]\(7\)[/tex] from [tex]\(40.5\)[/tex]:
[tex]\(40.5 - 7 = 33.5\)[/tex]

So, the simplified value of the expression is [tex]\(33.5\)[/tex].