Let’s solve each expression step by step. We’ll plug in the given values and calculate carefully.
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Part 1: Evaluate for x = 6
1.
7x → 7 × 6 =
42
2.
x/3 → 6 ÷ 3 =
2
3.
29 - x → 29 - 6 =
23
4.
36/x → 36 ÷ 6 =
6
5.
9x → 9 × 6 =
54
6.
x + 41 → 6 + 41 =
47
7.
3x + x → (3×6) + 6 = 18 + 6 =
24
*(or think: 3x + x = 4x → 4×6 = 24)*
8.
2x - 2 → (2×6) - 2 = 12 - 2 =
10
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Part 2: Evaluate for b = 2 and c = 7
9.
5 + b + c → 5 + 2 + 7 =
14
10.
16 + b - c → 16 + 2 - 7 = 18 - 7 =
11
11.
c - b + 1 → 7 - 2 + 1 = 5 + 1 =
6
12.
4b - c → (4×2) - 7 = 8 - 7 =
1
13.
7c - b → (7×7) - 2 = 49 - 2 =
47
14.
4c + b → (4×7) + 2 = 28 + 2 =
30
15.
120 + c → 120 + 7 =
127
16.
22 + b - c → 22 + 2 - 7 = 24 - 7 =
17
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Part 3: Evaluate for y = 8 and d = 4
17.
6y/d → (6×8) ÷ 4 = 48 ÷ 4 =
12
18.
20/d + y → (20 ÷ 4) + 8 = 5 + 8 =
13
19.
y²/d → (8²) ÷ 4 = 64 ÷ 4 =
16
20.
y/d + 6 → (8 ÷ 4) + 6 = 2 + 6 =
8
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✔ All calculations double-checked.
Final Answer:
1. 42
2. 2
3. 23
4. 6
5. 54
6. 47
7. 24
8. 10
9. 14
10. 11
11. 6
12. 1
13. 47
14. 30
15. 127
16. 17
17. 12
18. 13
19. 16
20. 8
Parent Tip: Review the logic above to help your child master the concept of evaluating numerical expressions worksheet.
