Problem preview
MF.EQ.4 Challenge MF-031-A12-V04

Use the distributive property to expand and factor simple linear expressions.

Check which forms are equivalent

Problem

A gym charges an \(\$8\) \(\text{one}\text{-}\text{time}\) sign-up fee and \(\$5~\text{per}~\text{class}\) for \(c\) classes, modeled by \(8~+~5c\). Test \(\text{every}~\text{labeled}~\text{expression}\) below for equivalence to this cost model, then report the \(\text{complete}~\text{set}~\text{of}~\text{valid}~\text{labels}\).

A. \(5(c~+~8)\)
B. \(3~+~5c~+~5\)
C. \(c~+~c~+~c~+~c~+~c~+~8\)
D. \(8c~+~5\)
E. \((c~+~8)~+~4c\)

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.4
Category
Pre-Algebra
Domain
Expressions
Objective
Use the distributive property to expand and factor simple linear expressions.
Problem type
Check which forms are equivalent