Math I · A-REI.1

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

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

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Concept Algebra
Domain Reasoning with Equations and Inequalities
Problem Types

Problem Templates In This Objective

9 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Name the equality property used in a solving step

4 variants
Template 2

Justify an algebraic transformation

4 variants
Template 3

Find the first invalid solving step

4 variants
Template 4

Verify a solution by substitution

4 variants
Template 5

Classify an equation as one solution, no solution, or infinitely many solutions

4 variants
Template 6

Decide whether a transformation creates an equivalent equation

4 variants
Template 7

Clear denominators in an equation

4 variants
Template 8

Test whether one equation step is equivalent

4 variants
Template 9

Complete an equality-preserving solution chain

4 variants