Question

Select all of the true statements below.
7y+4+3x
3 is a coefficient.

3x and 4 are like terms.

7y+4+3x is written as a sum of three terms.

4 is a constant.

7y+4+3x is written as a product of three factors.

None of these are true.

Answer 1

Let's evaluate each of the statements:

1. **"3 is a coefficient."**
- This is true. The term \(3x\) has 3 as its coefficient.

2. **"3x and 4 are like terms."**
- This is false. Like terms are terms that have the same variable part. \(3x\) is a variable term while \(4\) is a constant.

3. **"7y+4+3x is written as a sum of three terms."**
- This is true. The expression has three distinct terms: \(7y\), \(4\), and \(3x\).

4. **"4 is a constant."**
- This is true. The number \(4\) does not contain any variable and is therefore a constant.

5. **"7y+4+3x is written as a product of three factors."**
- This is false. The expression is a sum, not a product.

6. **"None of these are true."**
- This is false, as we have found true statements.

Based on this analysis, the true statements are:
- "3 is a coefficient."
- "7y+4+3x is written as a sum of three terms."
- "4 is a constant."