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Match each word to the appropriate example using the expression [tex]5a + 9b - 4[/tex].

A. [tex]\square[/tex] is a coefficient.
B. [tex]4[/tex] is a constant.
C. There are [tex]\square[/tex] terms in the expression.



Answer :

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.

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