Learn Before
Adding
Add the two like monomials:
Both terms contain the same variable raised to the same exponent , so they are like terms. Combine them by adding the coefficients: , while the variable part remains unchanged:
This example illustrates the simplest case of monomial addition: when two monomials share the same variable and exponent, just add their numerical coefficients and keep the variable factor as is.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.6 Polynomials - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Intermediate Algebra @ OpenStax
Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax
Related
Simplifying
Simplifying by Distributing and Combining Like Terms
Simplifying by Distributing and Combining Like Terms
Translating and Solving 'The Difference of and is '
Solving by Simplifying Both Sides
Solving by Collecting Variables and Constants
Strategy for Solving Linear Equations
Adding
Subtracting
Simplifying
Simplifying
Adding
Finding the Difference
Subtracting from
Adding and Subtracting Like Square Roots
Simplifying
Simplifying
Combining Like Terms in
A warehouse supervisor is training a new employee on how to simplify inventory records using algebra. Match each step of the 'Combining Like Terms' process with its correct description based on the standard procedure.
A logistics coordinator is simplifying a shipping manifest represented by the algebraic expression 15p + 10q + 5p. According to the standard procedure for combining like terms, which specific part of the terms 15p and 5p is added together to reach the simplified result?
A project coordinator is simplifying a budget report where different expense categories are represented by algebraic variables. Arrange the standard steps of the 'Combining Like Terms' procedure in the correct sequence to help them simplify the expression.
A retail manager is simplifying an inventory report where 'p' represents the number of pallets in different sections of a warehouse. To simplify the expression $15p + 10p, the manager adds the coefficients 15 and 10 to reach a total of 25. According to the standard procedure for combining like terms, the variable part 'p' in the final simplified result ($25p) must remain ____.
Inventory Record Simplification
A data analyst is following the standard three-step procedure to simplify a cost-projection formula. According to this procedure, the second step—rearranging the expression so that like terms are positioned next to each other—is a mandatory requirement that must be completed before coefficients can be combined.
Standard Procedure for Combining Like Terms in Business Analytics
Shipping Manifest Consolidation
A project coordinator is tracking billable hours for two different tasks, using 'h' for high-priority tasks and 'l' for low-priority tasks. The total hours are represented by the algebraic expression 8h + 3l + 5h. According to the standard three-step procedure for combining like terms, which of the following represents the expression after the coordinator has correctly completed only Step 2 (rearranging the expression so that like terms are grouped together)?
A financial analyst is simplifying a complex cost-projection formula using the standard multi-step procedure for combining like terms. According to the standard definition of this procedure, what is the analyst's primary goal?
Combining Like Terms in
Arrange the standard procedure for combining like terms into the correct order.
Learn After
Consolidating Operational Unit Estimates
Auditing Automated Resource Consolidation
Documenting Algebraic Summation Procedures
The sum of the monomials and is .
Why can the terms and be combined to make ?
Simplify by combining like terms:
Add the monomials:
Match each component of the addition expression with its description.
Simplify by combining like terms: _____
Arrange the steps to simplify the expression .