1. Problem 38: Identify which expressions describe the pattern 8, 12, 16, 20, ... 2. The pattern increases by 4 each time, starting at 8. 3. Check each expression by substituting values of $x$: - Ⓐ $4x$ with $x=1,2,3,4,...$ gives $4,8,12,16,...$ which does not start at 8 but 4, so no. - Ⓑ $4x$ with $x=2,3,4,5,...$ gives $8,12,16,20,...$ which matches the pattern exactly, so yes. - Ⓒ $6 + 2x$ with $x=1,2,3,4,...$ gives $8,10,12,14,...$ which does not match, so no. - Ⓓ $5 + 3x$ with $x=1,2,3,4,...$ gives $8,11,14,17,...$ which does not match, so no. - Ⓔ $4x - 4$ with $x=3,4,5,6,...$ gives $8,12,16,20,...$ which matches the pattern, so yes. 4. Problem 39: Find the volume of a rectangular prism with 22 cubes on the bottom layer and 7 layers. 5. Each cube is $1 \text{ in} \times 1 \text{ in} \times 1 \text{ in}$, so volume per cube is 1 cubic inch. 6. Total volume = number of cubes = bottom layer cubes $\times$ number of layers = $22 \times 7 = 154$ cubic inches. 7. So the answer is 154 cubic inches. Final answers: - Problem 38: Expressions Ⓑ and Ⓔ describe the pattern. - Problem 39: Volume is 154 cubic inches (option Ⓓ).