1. The problem involves multiple expressions, from powers of 2 times various numbers to identification and number patterns. 2. Starting with evaluating powers of 2 and multiplication: - (a) $2^5 \times 50 = 32 \times 50 = 1600$ - (b) $2^3 \times 52 = 8 \times 52 = 416$ - (c) $2^2 \times 53 = 4 \times 53 = 212$ - (d) $2 \times 25 = 50$ 3. Square roots: - (a) $\sqrt{17}$ (approximately 4.123) - (b) $\sqrt{100} = 10$ - (c) $\sqrt{4} = 2$ - (d) $\sqrt{16} + \sqrt{25} = 4 + 5 = 9$ 4. For linear expressions given with q or m variables, these are sequences describing patterns: - Examples: (a) $6q + 1$, (b) $6q + 2$, (c) $4m + 2$, (d) $4m + 4$ 5. For the numbered answers listed such as (a) 75, (b) 15, etc., these might be results or choices from prior computations. 6. The red triangle described on the graph has vertices: - Base on x-axis from 2 to 6 (length $6 - 2 = 4$) - Height up to 4 on y-axis 7. Area of the triangle $= \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ Final answers for calculations explicitly given: - $2^5 \times 50 = 1600$ - $2^3 \times 52 = 416$ - $2^2 \times 53 = 212$ - $2 \times 25 = 50$ - Square roots as above, sum $9$ in (d) - Area of triangle: $8$