1. **State the problem:** We need to determine which of the given expressions are equivalent by evaluating each expression. 2. **Write down the expressions:** - Expression 1: $2^3 \div 2 + 3$ - Expression 2: $3\left(\frac{2^3}{4}\right) + 3$ - Expression 3: $3 \div \frac{1}{2} + 3$ 3. **Evaluate Expression 1:** - Calculate $2^3 = 8$ - Then $8 \div 2 = 4$ - Finally, $4 + 3 = 7$ 4. **Evaluate Expression 2:** - Calculate $2^3 = 8$ - Then $\frac{8}{4} = 2$ - Multiply by 3: $3 \times 2 = 6$ - Add 3: $6 + 3 = 9$ 5. **Evaluate Expression 3:** - Division by a fraction: $3 \div \frac{1}{2} = 3 \times 2 = 6$ - Add 3: $6 + 3 = 9$ 6. **Compare the results:** - Expression 1 = 7 - Expression 2 = 9 - Expression 3 = 9 7. **Conclusion:** Expressions 2 and 3 are equivalent, but Expression 1 is not equal to either. **Final answer:** c) Expressions 2 and 3