Problem preview
MF.EQ.3 Warmup MF-030-A01-V01

Combine like terms and simplify expressions while preserving structure.

Combine like variable terms

Problem

Simplify the expression \(3x~+~5x\).

Big Picture

What this problem is really about

Both terms count copies of the same variable quantity, so they are like terms. Add only their coefficients and keep the shared x factor unchanged; addition does not multiply the variables or remove them. Factoring out x provides a quick structural check on the simplification.

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.3
Category
Pre-Algebra
Domain
Expressions
Objective
Combine like terms and simplify expressions while preserving structure.
Problem type
Combine like variable terms