Question: Consider the following expression. \[ 7b + 4 + 3a \] Select all of the true statements below…

Consider the following expression.

\[ 7b + 4 + 3a \]

Select all of the true statements below.

• 3 is a coefficient.
• \( 7b + 4 + 3a \) is written as a product of three factors.
• \( 7b + 4 + 3a \) is written as a sum of three terms.
• 4 is a constant.
• \( 3a \) and 4 are like terms.
• None of these are true.

Solution

Consider the expression: \(7b + 4 + 3a\). Identify the true statements from the options: 1. 3 is a coefficient. - True. In the term \(3a\), 3 is the coefficient of \(a\). 2. \(7b + 4 + 3a\) is written as a product of three factors. - False. The expression is a sum, not a product. 3. \(7b + 4 + 3a\) is written as a sum of three terms. - True. The expression has three terms: \(7b\), \(4\), and \(3a\). 4. 4 is a constant. - True. The term 4 is a constant. 5. \(3a\) and 4 are like terms. - False. Like terms must have the same variables. \(3a\) and 4 do not. 6. None of these are true. - False. Some statements are true. Therefore, the true statements are: - 3 is a coefficient. - \(7b + 4 + 3a\) is written as a sum of three terms. - 4 is a constant.