Problem preview
A-SSE.1.b Warmup M1-014-A09-V01

Interpret complex expressions by treating meaningful sub-expressions as single units.

Rewrite an expression to reveal a meaningful grouped sub-expression

Problem

Rewrite the expression by combining the per-item terms so the total per-item cost before the fixed fee is explicit.

Big Picture

What this problem is really about

Equivalent rewriting can expose which costs repeat and which occur only once. We’ll separate the terms that share the item-count factor from the standalone fee, factor the common count from only those repeated terms, and interpret the grouped coefficients as one combined per-item amount. Distributing back verifies that neither value nor scope changed.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-SSE.1.b
Category
Algebra
Domain
Seeing Structure in Expressions
Objective
Interpret complex expressions by treating meaningful sub-expressions as single units.
Problem type
Rewrite an expression to reveal a meaningful grouped sub-expression