Question

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

Explanation:

Analyze the student's work

Using the Algebraic Error Analysis knowledge point
The student wrote the expression \(5x + 3y - 8\).
The terms are \(5x\), \(3y\), and \(-8\).
The student stated \(-8\) has no numerical coefficient.

Define terms and coefficients

An algebraic term is a number, variable, or product.
A numerical coefficient is the numerical factor of a term.
For a constant term, the coefficient is the constant itself.
Thus, the coefficient of \(-8\) is \(-8\).

Correct the student's error

The coefficient of \(5x\) is \(5\).
The coefficient of \(3y\) is \(3\).
The coefficient of \(-8\) is \(-8\).

Answer:

An algebraic expression with three terms is \(5x + 3y - 8\).

The numerical coefficients of each term are:

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