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MF.EQ.8 Standard MF-035-A10-V03

Solve linear equations with variables on both sides and interpret special cases.

Write and solve a both-sides equation from a representation

Problem

A level hanger has \(3~\text{identical}~\text{bags}\) of value \(x\) plus \(5~\text{unit}~\text{weights}\) on each side. Write the represented equation and classify it as having \(\text{one}~\text{solution}\), \(\text{no}~\text{solution}\), or infinitely many solutions.

Level hanger with exactly three identical bags and five unit weights arranged the same way on each side. Open full size
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Four variants of this problem type
Curriculum context
Standard
MF.EQ.8
Category
Pre-Algebra
Domain
Equations
Objective
Solve linear equations with variables on both sides and interpret special cases.
Problem type
Write and solve a both-sides equation from a representation