Problem preview

A-REI.1 Core M1-005-R08-V02

Explain equation-solving steps as logical consequences of equality and justify solution methods.

Complete an equality-preserving solution chain

Problem

Solve \(x/3+4=9\).

Answer choices

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x/3+4=9 -> x/3=5 [subtract 4 from both sides] -> x=15 [multiply both sides by 3]; solution=15

x/3+4=9 -> x+4=27 -> x=23; reasons=multiply x-term by 3, subtract 4

x/3+4=9 -> x/3=5 -> x=5/3; reasons=subtract 4, divide 3

x/3+4=9 -> x/3=13 -> x=39; reasons=add 4, multiply 3

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Curriculum context

Course: Math I
Standard: A-REI.1
Category: Algebra
Domain: Reasoning with Equations and Inequalities
Objective: Explain equation-solving steps as logical consequences of equality and justify solution methods.
Problem type: Complete an equality-preserving solution chain