Problem preview
MF.EQ.5 Challenge MF-032-A12-V01

Solve one-step equations and interpret the solution in context.

Match solutions across several one-step equations

Problem

Substitute \(x~=~4\) into \(\text{every}~\text{equation}\) below. Report the complete set of labels for the equations made true by that value.

A. \(x~+~7~=~11\)
B. \(x~-~3~=~1\)
C. \(5x~=~20\)
D. \(x/4~=~1\)
E. \(x~+~1~=~6\)
F. \(x~-~8~=~-4\)

Big Picture

What this problem is really about

Use substitution as a uniform test rather than judging equations by appearance. Replace x with four in every labeled equation, evaluate each left side carefully, and compare it with the stated right side. Keep every label whose numerical statement is true, including any result involving a negative number.

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.5
Category
Pre-Algebra
Domain
Equations
Objective
Solve one-step equations and interpret the solution in context.
Problem type
Match solutions across several one-step equations