To analyze the expression \(5a + 9b - 4\), let's break it down step-by-step:
1. Coefficients:
- A coefficient is the numerical factor in a term that includes a variable (a letter).
- In the term \(5a\), the coefficient is \(5\).
- In the term \(9b\), the coefficient is \(9\).
Therefore, the coefficients are \(5\) and \(9\).
2. Constant:
- A constant is a term that does not have a variable attached to it.
- In the expression \(5a + 9b - 4\), the term \(-4\) is the constant.
Therefore, the constant is \(-4\).
3. Number of Terms:
- A term is a single part of an expression separated by a plus or minus sign.
- In the expression \(5a + 9b - 4\), the terms are \(5a\), \(9b\), and \(-4\).
Therefore, there are \(3\) terms in the expression.
So, in summary:
1. \( \square \) is a coefficient: \( 5 \) and \( 9 \).
2. \( 5a \) is a constant: \(-4\).
3. There are \( \square \) terms in the expression: \(3\).
Using these conclusions:
1. Place \(5\) as one of the coefficients in the first blank.
2. Place \(-4\) as the constant in the appropriate example.
3. Place \(3\) for the number of terms in the last blank.
Thus:
1. \(5\) and \(9\) are coefficients.
2. \(-4\) is a constant.
3. There are [tex]\(3\)[/tex] terms in the expression.
