Chapter 2 Math Test with questions on properties of addition, estimation, and arithmetic operations.

I'll solve each problem step by step, working through all the calculations carefully.

Problem 1: 6 + 0 = 6
This shows that adding 0 to a number gives you the same number back. This is the Identity Property.
Answer: b

Problem 2: 8 + (4 + 3) = (8 + 4) + 3
The parentheses are moved around, but the order of numbers stays the same. This shows grouping can change without changing the answer. This is the Associative Property.
Answer: c

Problem 3: 12 + 8 = 8 + 12
The numbers switch places (order changes). This is the Commutative Property.
Answer: a

Problem 4: Estimate 47 + 55
Round to nearest ten: 47 → 50, 55 → 60
50 + 60 = 110
But let me check: 47 + 55 = 102, which is closest to 100.
Actually, for estimation we typically round first: 50 + 60 = 110, or 50 + 55 = 105... Let me reconsider. The answer choices suggest rounding to nearest ten: 50 + 60 = 110, but that's not an option. Looking at the choices (80, 100, 110, 120), and actual sum is 102, so 100 is the best estimate.
Answer: b

Problem 5: Estimate 221 + 186
Round to nearest hundred: 221 → 200, 186 → 200
200 + 200 = 400
Actual sum: 221 + 186 = 407, which is closest to 400.
Answer: c

Problem 6: Estimate 558 + 721
Round to nearest hundred: 558 → 600, 721 → 700
600 + 700 = 1,300
Actual sum: 558 + 721 = 1,279, which is closest to 1,300.
Answer: d

Problem 7: 49 + 37
49 + 37 = 86
Let me verify: 40 + 30 = 70, 9 + 7 = 16, 70 + 16 = 86 ✓
Answer: c

Problem 8: 64 + 43
64 + 43 = 107
Let me verify: 60 + 40 = 100, 4 + 3 = 7, 100 + 7 = 107 ✓
Answer: c

Problem 9: 56 + 39
56 + 39 = 95
Let me verify: 50 + 30 = 80, 6 + 9 = 15, 80 + 15 = 95 ✓
Answer: d

Problem 10: $28.50 + $0.50
$28.50 + $0.50 = $29.00
Answer: b

Problem 11: $42 + $39
$42 + $39 = $81
Let me verify: 40 + 30 = 70, 2 + 9 = 11, 70 + 11 = 81 ✓
Answer: c

Problem 12: $325 + $284
$325 + $284 = $609
Let me verify: 300 + 200 = 500, 25 + 84 = 109, 500 + 109 = 609 ✓
Answer: b

Final Answer:
1. b
2. c
3. a
4. b
5. c
6. d
7. c
8. c
9. d
10. b
11. c
12. b