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MF.GR.2 Challenge MF-041-A12-V03

Identify a numerical pattern and write a rule that matches it.

Match rules and patterns across options

Problem

An input-output table maps \(1,~2,~3,~\text{and}~4\) to \(6,~10,~14,~\text{and}~18\). Test every rule below against \(\text{all}~\text{pairs}\) and report the complete set of matching labels.

A. \(\text{Output}~=~4(\text{input})~+~2\)
B. \(\text{Output}~=~6~+~4(\text{input}~-~1)\)
C. \(\text{Output}~=~2(\text{input}~+~2)\)
D. \(\text{Output}~=~4(\text{input}~-~1)~+~6\)
E. \(\text{Output}~=~\text{input}~+~5\)

Input–Output Machine: Input and Output with 4 data rows. Open full size
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Four variants of this problem type
Curriculum context
Standard
MF.GR.2
Category
Representations
Domain
Patterns
Objective
Identify a numerical pattern and write a rule that matches it.
Problem type
Match rules and patterns across options