This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to the problems: SECTION A - ADDITION AND SUBTRACTION 1. 56 + 28 = 84 The answer is 84. 2. 18 - 6 = 12 The answer is 12. 3. 245 + 168 = 413 The answer is 413. 4. 94 - 27 = 67 The answer is 67. 5. 67 + 65 = 132 The answer is 132. 6. 80 - 75 = 5 The answer is 5. SECTION B - MULTIPLICATION AND DIVISION 7. 34 × 6 = 204 The answer is 204. 8. 23 × 14 = 322 The answer is 322. 9. Assuming the operation is addition based on the options provided: 15 + 22 = 37 The answer is 37. 10. Step 1: Divide 94 by 7. 94 ÷ 7 = 13 remainder 3 The answer is 13 remainder 3. 11. Step 1: Divide 53 by 8. 53 ÷ 8 = 6 remainder 5 The answer is 6 remainder 5. 12. Step 1: Divide 4.0 by 5. 4.0 ÷ 5 = 0.8 The answer is 0.8. SECTION C - INDICES, STANDARD FORM AND SURDS 13. Simplify: 2^3 × 2^2 Step 1: Use the exponent rule a^m × a^n = a^m+n. 2^3 × 2^2 = 2^3+2 = 2^5 Step 2: Calculate the value. 2^5 = 32 The answer is 32. 14. Write 4,500,000 in standard form. Step 1: Move the decimal point to the left until there is one non-zero digit before it. 4,500,000 = 4.5 × 10^6 The answer is 4.5 × 10^6. 15. Simplify: sqrt(9) Step 1: Find the number that, when multiplied by itself, equals 9. sqrt(9) = 3 The answer is 3. 16. Evaluate: 5^0 Step 1: Any non-zero number raised to the power of 0 is 1. 5^0 = 1 The answer is 1. SECTION D - NUMBER PATTERNS & ALGEBRAIC PROCESSES 17. Find the next two numbers in the sequence: 2, 5, 11, 23, ___, ___ Step 1: Find the difference between consecutive terms. 5 - 2 = 3 11 - 5 = 6 23 - 11 = 12 The differences are doubling (3, 6, 12). Step 2: The next difference will be 12 × 2 = 24. 23 + 24 = 47 Step 3: The difference after that will be 24 × 2 = 48. 47 + 48 = 95 The next two numbers are 47, 95. 18. Simplify: 3x + 2x Step 1: Combine the like terms. 3x + 2x = (3+2)x = 5x The answer is 5x. 19. Solve: 2x + 5 = 17 Step 1: Subtract 5 from both sides of the equation. 2x + 5 - 5 = 17 - 5 2x = 12 Step 2: Divide both sides by 2. (2x)/(2) = (12)/(2) x = 6 The answer is 6. Send me the next one 📸