The image contains two problems:

1. Evaluate the expression:
   $5 + 23 \times 6 \div 8$

2. Write an algebraic expression:
   "Five fewer than 4 times a number, $x$" and then simplify the expression for $x = 6$.

Solutions:

1. Evaluating $5 + 23 \times 6 \div 8$:

   • Follow the order of operations (PEMDAS/BODMAS).
   • First, calculate $23 \times 6 = 138$.
   • Then, $138 \div 8 = 17.25$.
   • Finally, add 5:
     $5 + 17.25 = 22.25$.

   Answer: $22.25$

2. Algebraic Expression for "Five fewer than 4 times a number, $x$":

   • This phrase translates to $4x - 5$.

   Simplify for $x = 6$:

   • Substitute $x = 6$ into the expression: $4(6) - 5 = 24 - 5 = 19$

   Answer: $19$

Would you like further details on these steps or have any questions?

Additional Related Questions:

1. How would you evaluate expressions with more than two operations?
2. What is the difference between "5 fewer than a number" and "5 less than a number"?
3. How can the distributive property be applied to simplify expressions like this?
4. What other methods could we use to verify the solution to an expression?
5. How do expressions change when variables represent different types of values (e.g., decimals)?

Tip: Remember to always apply the order of operations (PEMDAS/BODMAS) carefully to avoid mistakes in multi-step expressions.