Problem preview

MF.EQ.7 Challenge MF-034-A12-V02

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

Check which transformed equations stay equivalent

Problem

Solve \(4~-~3(2x~-~5)~=~19\) through valid equivalent equations. Test \(\text{every}~\text{labeled}~\text{equation}\) below and report the complete set of labels that can occur in a correct solution.

A. \(4~-~6x~+~15~=~19\)
B. \(19~-~6x~=~19\)
C. \(-6x~=~0\)
D. \(6x~=~0\)
E. \(x~=~0\)
F. \(4~-~6x~-~15~=~19\)

Answer choices

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A, B, C, and E

A, B, C, D, and E

B, C, D, and E

A, B, C, D, E, and F

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Curriculum context

Course: Math Foundations
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