Identify expressions and equations in this educational worksheet.

Let's solve this step by step.

We are asked to identify whether each given item is an expression or an equation.

Definitions:

- Expression: A mathematical phrase that combines numbers, variables, and operations (like +, −, ×, ÷), but does not have an equals sign (=).
Example: `30 + 92`, `(44 + 4) + 1`

- Equation: A mathematical statement that shows two expressions are equal, using the equals sign (=).
Example: `(2 × 50) − 22 = 78`

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Now let's go through each item one by one:

| Item | Expression | Equation |
|------|------------|----------|
| 30 + 92 | ✔ | ✘ |
| (44 + 4) + 1 | ✔ | ✘ |
| (2 × 50) − 22 = 78 | ✘ | ✔ |
| 119 − 14 = 105 | ✘ | ✔ |
| 71 − 2 + 13 | ✔ | ✘ |
| (100 + 37) − 73 = 64 | ✘ | ✔ |
| (68 + 2) + 12 | ✔ | ✘ |
| (24 × 4) + 9 = 100 + 5 | ✘ | ✔ |
| 54 + (6 × 2) | ✔ | ✘ |
| (313 − 10) × 6 | ✔ | ✘ |
| (700 − 200) + 8 = 5 × 100 + 8 | ✘ | ✔ |
| 293 ÷ 0.5 − 281 | ✔ | ✘ |
| (900 ÷ 90) + 72 − 7 = 65 | ✘ | ✔ |
| Thrice the sum of 8 and 10 | ✔ | ✘ |
| Double of 50 is 100 | ✘ | ✔ |
| 10 more than quarter of 8 | ✔ | ✘ |

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Explanation for Each:

1. 30 + 92 → No equals sign → Expression
2. (44 + 4) + 1 → No equals sign → Expression
3. (2 × 50) − 22 = 78 → Has “=” → Equation
4. 119 − 14 = 105 → Has “=” → Equation
5. 71 − 2 + 13 → No “=” → Expression
6. (100 + 37) − 73 = 64 → Has “=” → Equation
7. (68 + 2) + 12 → No “=” → Expression
8. (24 × 4) + 9 = 100 + 5 → Has “=” → Equation
9. 54 + (6 × 2) → No “=” → Expression
10. (313 − 10) × 6 → No “=” → Expression
11. (700 − 200) + 8 = 5 × 100 + 8 → Has “=” → Equation
12. 293 ÷ 0.5 − 281 → No “=” → Expression
13. (900 ÷ 90) + 72 − 7 = 65 → Has “=” → Equation
14. Thrice the sum of 8 and 10 → This is a word expression, no equality → Expression
15. Double of 50 is 100 → "is" means "equals", so it’s equivalent to 2×50 = 100 → Equation
16. 10 more than quarter of 8 → Describes a calculation, no equality → Expression

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Final Answer Table:

| Item | Expression | Equation |
|------|------------|----------|
| 30 + 92 | ✔ | ✘ |
| (44 + 4) + 1 | ✔ | ✘ |
| (2 × 50) − 22 = 78 | ✘ | ✔ |
| 119 − 14 = 105 | ✘ | ✔ |
| 71 − 2 + 13 | ✔ | ✘ |
| (100 + 37) − 73 = 64 | ✘ | ✔ |
| (68 + 2) + 12 | ✔ | ✘ |
| (24 × 4) + 9 = 100 + 5 | ✘ | ✔ |
| 54 + (6 × 2) | ✔ | ✘ |
| (313 − 10) × 6 | ✔ | ✘ |
| (700 − 200) + 8 = 5 × 100 + 8 | ✘ | ✔ |
| 293 ÷ 0.5 − 281 | ✔ | ✘ |
| (900 ÷ 90) + 72 − 7 = 65 | ✘ | ✔ |
| Thrice the sum of 8 and 10 | ✔ | ✘ |
| Double of 50 is 100 | ✘ | ✔ |
| 10 more than quarter of 8 | ✔ | ✘ |

✔ Done! All items classified correctly.