Question

Evaluate each expression when b = -8:

A) |b - 8| or 8
B) -|-b| 8 or -8
C) -(-(-b)) 8 or -8
D) None of the above

Answer 1

The evaluated expressions when b = -8 are: A) 16, B) -8, C) 8. Each expression is evaluated by substituting -8 for b and simplifying according to rules of absolute values and mathematical operations.

Step-by-step explanation:

The student has asked to evaluate each expression when b = -8. Let's evaluate each given option:

1. A) |b - 8|: By substituting b with -8, we get |-8 - 8| which simplifies to | -16 | which equals 16 because the absolute value signifies the distance from zero, making it always positive.
2. B) -|-b|: Here, -| -(-8) | becomes -|8|, and further simplifies to -8 because the absolute value of 8 is 8, and the negative sign in front makes it -8.
3. C) -(-(-b)): This expression becomes -(-(-(-8))) which simplifies to -(-8) and then to 8.
4. D) None of the above: Since we have found solutions for A, B, and C, option D is not necessary.

So, the evaluations are: A) 16, B) -8, C) 8, and D) does not apply.