Question

#21- write an algebraic expression that contains three terms. identify the numerical coefficient of each term.

Explanation:

Identify the terms of the expression

Using the Algebraic Terms knowledge point

$$ \text{Expression: } 5x + 3y - 8 $$

$$ \text{Terms: } 5x, \quad 3y, \quad -8 $$

Determine the numerical coefficients

Using the Numerical Coefficients and Constant Terms knowledge points

$$
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$$

Analyze the student's statement

The student correctly identified the terms as \(5x\), \(3y\), and \(-8\).
The student correctly identified the coefficients of \(5x\) as \(5\) and \(3y\) as \(3\).
However, the student stated that \(-8\) does not have a numerical coefficient because it lacks a variable.
In algebra, a constant term like \(-8\) can be written as \(-8x^0\), meaning its numerical coefficient is \(-8\).

Answer:

The student's algebraic expression \(5x + 3y - 8\) correctly contains three terms: \(5x\), \(3y\), and \(-8\).

The numerical coefficients of each term are:

• The numerical coefficient of \(5x\) is 5.
• The numerical coefficient of \(3y\) is 3.
• The numerical coefficient of \(-8\) is -8 (since a constant term is its own numerical coefficient).