Problem preview
MF.EQ.7 Challenge MF-034-A12-V03

Solve multi-step linear equations, including equations requiring simplification first.

Check which transformed equations stay equivalent

Problem

Starting with \(5x~-~7~+~2x~=~3(x~+~1)\), test \(\text{every}~\text{labeled}~\text{equation}\) below using valid algebraic transformations. Report the complete set of labels for equations equivalent to the original.

A. \(7x~-~7~=~3x~+~3\)
B. \(5x~-~5~=~3x~+~3\)
C. \(4x~-~7~=~3\)
D. \(4x~=~10\)
E. \(x~=~2.5\)
F. \(7x~-~7~=~3x~+~1\)

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.7
Category
Pre-Algebra
Domain
Equations
Objective
Solve multi-step linear equations, including equations requiring simplification first.
Problem type
Check which transformed equations stay equivalent