Problem preview
MF.EQ.9 Challenge MF-036-A12-V01

Write and solve a linear equation from a short verbal or contextual situation.

Match equations and word problems across options

Problem

A climbing gym charges a \(\$6\) sign-up fee plus \(\$4~\text{per}~\text{visit}\). Maya spends \(\$34\) total, and \(v\) is the number of visits. Test \(\text{every}~\text{labeled}~\text{equation}\) below against the situation and report the \(\text{complete}~\text{set}~\text{of}~\text{matching}~\text{labels}\).

A. \(6~+~4v~=~34\)
B. \(4(v~+~6)~=~34\)
C. \(34~-~6~=~4v\)
D. \(34~+~6~=~4v\)
E. \(v~=~(34~-~4)/6\)

Big Picture

What this problem is really about

Anchor every equation to the same cost structure: one six-dollar fee plus four dollars for each visit makes a thirty-four-dollar total. A matching form may state that relationship directly or result from applying the same inverse operation to both sides. Test every label for the fee, rate, variable meaning, and equality; shared numbers alone are not enough.

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.9
Category
Pre-Algebra
Domain
Equations
Objective
Write and solve a linear equation from a short verbal or contextual situation.
Problem type
Match equations and word problems across options