Problem preview
A-REI.10 Warmup M1-006-A10-V01

Understand that a two-variable equation's graph is the set of all ordered-pair solutions.

Test every row in a table and locate violations

Problem

Use the table below to determine whether every row is a solution to \(y~=~2x~+~1\). If not, locate the violation.

Big Picture

What this problem is really about

The word “every” makes this a row-by-row test, so early successes cannot settle the question. We’ll use each x-entry to compute the output required by the equation and compare it with that row’s listed y-entry. Any mismatch is a violation, while a matching computation confirms only that individual row and does not excuse checking the rest.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-REI.10
Category
Algebra
Domain
Reasoning with Equations and Inequalities
Objective
Understand that a two-variable equation's graph is the set of all ordered-pair solutions.
Problem type
Test every row in a table and locate violations