Problem preview
MF.EQ.7 Challenge MF-034-A13-V01

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

Choose a specified simplification and solve

Problem

For \(3(x~+~2)~+~x~=~18\), which complete response is correct? Candidate A distributes \(3\), B combines \(x~+~2\) as \(2x\), and C divides \(\text{every}~\text{term}\) by \(3\).

Big Picture

What this problem is really about

The specified first move is to remove the parentheses by distribution. Multiply three by both the variable and the constant inside the group; combining x with a constant is not legitimate. After expansion, combine the two variable terms, then use inverse operations and check the original grouped equation.

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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
Choose a specified simplification and solve