Let’s solve each problem step by step using the correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
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1. (25 + 5) × 3 - 13
Step 1: Solve inside parentheses → 25 + 5 = 30
Step 2: Multiply → 30 × 3 = 90
Step 3: Subtract → 90 - 13 = 77
✔ Answer:
77
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2. 19 + 12 × 2 - 4
Step 1: Multiply first → 12 × 2 = 24
Step 2: Add → 19 + 24 = 43
Step 3: Subtract → 43 - 4 = 39
✔ Answer:
39
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3. 42 + 32 ÷ 4
Step 1: Divide first → 32 ÷ 4 = 8
Step 2: Add → 42 + 8 = 50
✔ Answer:
50
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4. 12 + 34 × 2 ÷ 2
Step 1: Multiply → 34 × 2 = 68
Step 2: Divide → 68 ÷ 2 = 34
Step 3: Add → 12 + 34 = 46
✔ Answer:
46
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5. (4 + 3) × (2 + 5)
Step 1: Solve both parentheses → 4+3=7 and 2+5=7
Step 2: Multiply → 7 × 7 = 49
✔ Answer:
49
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6. 2 + 14 × 5 - 5
Step 1: Multiply → 14 × 5 = 70
Step 2: Add → 2 + 70 = 72
Step 3: Subtract → 72 - 5 = 67
✔ Answer:
67
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7. 22 + 4 × 5 - 13
Step 1: Multiply → 4 × 5 = 20
Step 2: Add → 22 + 20 = 42
Step 3: Subtract → 42 - 13 = 29
✔ Answer:
29
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8. 13 - 42 ÷ 7 + 2
Step 1: Divide → 42 ÷ 7 = 6
Step 2: Subtract → 13 - 6 = 7
Step 3: Add → 7 + 2 = 9
✔ Answer:
9
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9. 15 + 2 - 14 ÷ 7
Step 1: Divide → 14 ÷ 7 = 2
Step 2: Add → 15 + 2 = 17
Step 3: Subtract → 17 - 2 = 15
✔ Answer:
15
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10. (18 - 7) × 2
Step 1: Solve inside parentheses → 18 - 7 = 11
Step 2: Multiply → 11 × 2 = 22
✔ Answer:
22
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Final Answer:
1. 77
2. 39
3. 50
4. 46
5. 49
6. 67
7. 29
8. 9
9. 15
10. 22
Parent Tip: Review the logic above to help your child master the concept of 6th grade math worksheet for algebra.