{"schema_version":"teacher-skill-representation.payload.v1","representation":{"schema_version":"teacher-skill-representation.v2","skill_ref":"prealg.linear-equations.one-variable","domain_slug":"prealg","skill_slug":"linear-equations-one-variable","canonical_url":"/math/skills/prealg/linear-equations-one-variable","public_title":"Linear equations in one variable","family_ref":"module-family.prealg.equations-expressions-inequalities.v1","family_name":"Equations, Variables, Expressions, and Inequalities","pattern_cluster_refs":[],"task_pattern_refs":[],"task_form_refs":[],"teacher_summary":"Linear equations in one variable builds equations, variables, expressions, and inequalities through visual tasks, examples, and next-step routes.","teacher_explanation_md":"Linear equations in one variable practice with teacher guidance, common slips, and next-step routes.","player_surface_summary_md":"Linear equations in one variable uses short visual tasks with clear answer actions and repairable mistakes.","common_mistake_tags":["Treating grade, year, source family, or contest label as level.","Treating a representation or answer primitive as public focus.","Applying a procedure without explaining the relationship that makes it valid."],"hint_reveal_summary_md":"Hints keep attention on the visible structure; reveals show the path without counting as independent evidence.","adaptation_summary_md":"Fresh independent work can move toward Core, Transfer, or Challenge routes; help use or confusion keeps support visible.","route_variant_refs":[],"presentation_profile_refs":["presentation_compact","presentation_standard","presentation_extended"],"practice_focus_refs":["practice-focus.balanced.v1"],"standards_refs":[],"school_program_refs":[],"challenge_refs":[],"story_fit_tags":[],"prerequisite_skill_refs":[],"next_skill_refs":["prealg.negative-numbers.contexts","prealg.negative-numbers.order-absolute-value","prealg.scientific-notation.operations"],"next_family_refs":["module-family.count.quantity-comparison-order.v1","module-family.pattern.functions-generalization.v1","module-family.logic.constraint-deduction-combinatorics.v1"],"public_example_refs":[],"retrieval":{"aliases":["Linear equations in one variable","prealg.linear-equations.one-variable","Equations, Variables, Expressions, and Inequalities"],"teacher_questions":["What does Linear equations in one variable mean?","How does Linear equations in one variable adapt?","Can I see an example of Linear equations in one variable?"],"keywords":["linear equations in one variable","prealg","linear-equations-one-variable","equations, variables, expressions, and inequalities"],"short_answer_public":"Linear equations in one variable builds equations, variables, expressions, and inequalities through visual tasks, examples, and next-step routes.","canonical_links":[{"label":"Linear equations in one variable","url":"/math/skills/prealg/linear-equations-one-variable"}],"safe_to_quote_snippets":["Linear equations in one variable builds equations, variables, expressions, and inequalities through visual tasks, examples, and next-step routes."],"example_refs":[]}},"task_forms":[],"examples":[],"preview_artifacts":[]}