The image contains algebraic problems, specifically focusing on absolute value equations and problem-solving involving ranges of temperatures for tropical fish.

Here’s a breakdown of the key tasks shown:

Evaluating Expressions:

1. $|x - 8|$ for $x = -4$
2. $2|y|$ for $y = -9$
3. $-3|y|$ for $y = -9$
4. $-2|3x + 8| - 4$ for $x = -4$

Problem-Solving:

5. Tropical Fish Problem

• a. Determine an equation for optimal water temperatures (range of 2°F from 76°F to 78°F).
• b. Solve the equation from part a.
• c. Discuss temperature accuracy and maintaining minimum temperature with thermometer accuracy of ±1°F.

Solving Absolute Value Equations:

6. $|x + 8| = 12$
7. $|4 - 9x| = 11$
8. $|x - 5| + 4 = 9$
9. $|3x - 5| - 4 = 8$
10. $|2x - 3| = 5$
11. $|4 - 3x| = 6$
12. $|4 - 3x| = 6$

I can help solve any of these problems if you'd like. Let me know which one you'd like to start with, or if you'd like assistance with all of them!

Follow-Up Questions:

1. How do you solve an absolute value equation?
2. What is the range of solutions for $|x| = a$?
3. How do you approach solving for temperature ranges in the tropical fish problem?
4. What role does the accuracy of a thermometer play in maintaining water temperature?
5. Can an absolute value equation have no solution? Under what conditions?

Tip:

When solving absolute value equations, remember that the equation $|A| = B$ translates to two cases: $A = B$ and $A = -B$.