Question

Drag each tile to the correct box.
Match each expression with its greatest common factor.

4 − 6a
2a2 + 8a
12a2 − 8a
4a + 8
Greatest Common Factor
Expression
4a

4

2

2a

Answer 1

Here’s how to match each expression with its greatest common factor:

1. **4 − 6a**:
- Greatest Common Factor: **2**
- Explanation: The GCF of the coefficients (4 and -6) is 2.

2. **2a² + 8a**:
- Greatest Common Factor: **2a**
- Explanation: Both terms have a factor of 2 and the variable a, and the greatest common factor is 2a.

3. **12a² − 8a**:
- Greatest Common Factor: **4**
- Explanation: The coefficients (12 and -8) have a GCF of 4, and both terms include a factor of a, so the overall GCF is 4.

4. **4a + 8**:
- Greatest Common Factor: **4a**
- Explanation: The coefficients (4 and 8) have a GCF of 4, and the first term has a factor of a, making the overall GCF 4a.

Let’s summarize the matches:

- **4 − 6a** → **2**
- **2a² + 8a** → **2a**
- **12a² − 8a** → **4**
- **4a + 8** → **4a**