1. We are asked to evaluate each of the following expressions using the order of operations (GMDAS: Grouping, Multiplication/Division (left to right), Addition/Subtraction (left to right)). 2. a) $4 \times 3 + 8$ = $12 + 8$ = $20$ 3. b) $(9 - 2) + (3^2 \times 21)$ = $7 + (9 \times 21)$ = $7 + 189$ = $196$ 4. c) $84 \div 3 \times 4$ = $28 \times 4$ = $112$ 5. d) $8(2 + 5) \div [25 - (7 \times 3)]$ = $8 \times 7 \div [25 - 21]$ = $56 \div 4$ = $14$ 6. e) $(18 + 14) \div (6 + 2)$ = $32 \div 8$ = $4$ 7. f) $7 + [2(12 - 5) + 32] - 18 \div 3$ = $7 + [2 \times 7 + 32] - 6$ = $7 + [14 + 32] - 6$ = $7 + 46 - 6$ = $47$ 8. g) $53 + 7 - 30$ = $60 - 30$ = $30$ 9. h) $6 + (2 \times 7 + 5^2)$ = $6 + (14 + 25)$ = $6 + 39$ = $45$ 10. i) $(16 + 82) \div (4 - 2)$ = $98 \div 2$ = $49$ 11. j) $5[64 \div 2^3 (20 - 10) - 5]$ First simplify the inner expressions: $2^3 = 8$ $20 - 10 = 10$ Then compute: $64 \div 8 = 8$ $8 \times 10 = 80$ Now subtract: $80 - 5 = 75$ Finally multiply: $5 \times 75 = 375$ **Final answers:** a) $20$ b) $196$ c) $112$ d) $14$ e) $4$ f) $47$ g) $30$ h) $45$ i) $49$ j) $375$