Problem preview
MF.EQ.9 Challenge MF-036-A12-V04

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

Match equations and word problems across options

Problem

Translate \(\text{every}~\text{labeled}~\text{situation}\) below into an equation. Report the \(\text{complete}~\text{set}~\text{of}~\text{labels}\) that produce \(5(n~-~2)~=~40\).

A. \(\text{Five}~\text{boxes}\) each start with \(n~\text{pencils}\); \(2\) are removed from each, leaving \(40\) total.
B. A coupon takes \(\$2\) off each of \(5~\text{items}\), and the total discount is \(\$40\); \(n\) is original item price.
C. \(\text{Five}~\text{friends}\) each pay \(n~\text{dollars}\) for food minus a \(\$2\) coupon, totaling \(\$40\).
D. A gardener plants \(5~\text{rows}\) of \(n~-~2~\text{plants}\), totaling \(40\).
E. A club charges \(\$5~\text{monthly}\) with the \(\text{first}~2~\text{months}\) free, totaling \(\$40\) after \(n~\text{months}\).

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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