Coefficient of a Term

Like Terms in Algebra

Identifying Terms in an Expression

Monomial

A logistics coordinator uses the expression 25w + 15 to calculate the shipping cost of a package, where 25w represents the weight-based fee and 15 is a flat handling charge. What is the mathematical name for the individual components, 25w and 15, that are combined to form this expression?

In the business cost expression 4x + 500, the constant value 500 is considered an algebraic term even though it does not include a variable.

Identifying Components of a Service Cost Formula

In a warehouse management system, various mathematical components are used to track inventory and labor costs. Match each component from a warehouse manager's calculation formula to the description that correctly identifies its form as an algebraic term.

A freelance consultant calculates their total invoice using the expression $150 + 60h, where $150 is a flat travel fee and $60h is the labor charge. In mathematics, the individual building blocks of this expression, such as '$150' and '$60h$', are each known as a(n) ____.

Analyzing Production Cost Components

A small business owner uses the formula $9a + y + 7 to calculate monthly service expenses, where $9a is the cost of 9 units at price $a$, $y$ is a variable utility charge, and $7$ is a fixed processing fee. Identify the three individual algebraic terms in this formula and arrange them in the order they appear from left to right.

Defining Algebraic Terms in Business Formulas

A retail manager uses the formula $15p + 5$ to calculate the total price of an order, where $15p$ represents the price of items and $5$ is a flat shipping fee. In this context, $15p$ and $5$ are individual algebraic terms. Based on the mathematical definition, what can an algebraic term consist of?

An office manager is setting up a spreadsheet to track service expenses using mathematical formulas. According to the definition of an 'algebraic term,' which of the following is NOT an example of a single algebraic term?