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Algebraic Term
An algebraic term is a constant, or the product of a constant and one or more variables. They are the fundamental building blocks of algebraic expressions. Examples of terms include , , , , and .
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Algebraic Equation
Algebraic Term
A logistics coordinator uses the mathematical phrase '150 + 12x' to represent the total cost of shipping a crate, where 'x' is the weight in pounds. Which term correctly identifies this combination of numbers, variables, and operation symbols?
A payroll clerk uses the mathematical phrase '40 * r' to calculate weekly pay, where 'r' is the hourly rate. Match each part of this phrase to its correct algebraic term.
In a warehouse management system, the mathematical phrase 'q + 50' (representing an order of 50 additional units) is classified as an algebraic expression because it combines a variable, a number, and an operation symbol without an equals sign.
A manufacturing technician uses the mathematical phrase 4g + 12 to determine the total gallons of coolant required for a series of machines, where g is the number of gears. In algebra, this combination of variables, numbers, and operation symbols that represents a value is called an algebraic ____.
Identifying Workplace Formulas
Exponential Notation in Algebra
Simplifying an Algebraic Expression
Defining Algebraic Expressions for Professional Guidelines
Benefit Calculation Definitions
A technical writer is developing a 'Business Math Fundamentals' training manual for new analysts. To ensure the manual is accurate, arrange the following segments to form the correct, standard definition of an Algebraic Expression as it should appear in the glossary.
A payroll clerk is entering a base salary of 45,000 into a compensation system. According to the definition of an algebraic expression, which of the following is true regarding this single number?
A retail manager is training a new employee on the store's pricing software. The manager explains that the formula used to calculate a discount, p - 10, is an 'algebraic expression.' According to the standard definition, which of the following is a primary characteristic of this expression?
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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 , 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 to calculate the total price of an order, where represents the price of items and is a flat shipping fee. In this context, and 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?