{"id":"act_quizme:math:q2:02","source_id":"act_quizme","source_item_id":"math-q2-02","external_id":"59dbabcc59435660","program":"ACT","section":"math","category_code":null,"category":null,"subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":2,"scored":true,"layout_warning":null,"stem":"If 6y= 5x minus 1 6 y = 5 x - 1 , then x equals x = ?","stimulus":"","stimulus_html":null,"stem_html":"<div class=\"math-question-wrap\"><div class=\"item-content\" id=\"p20\"> \t\t\t\t\t \t\t\t\t\t<p>If <span style=\"white-space: nowrap;\"><span class=\"visually-hidden\">6y= 5x minus 1</span><math class=\"srTransform\"><mn>6</mn><mi>y</mi><mo>=</mo><mn>5</mn><mi>x</mi><mo>-</mo><mn>1</mn></math>,</span> then <span style=\"white-space: nowrap;\"><span class=\"visually-hidden\">x equals </span><math class=\"srTransform\"><mi>x</mi><mo>=</mo></math>&nbsp;?</span></p>  \t\t\t\t</div> \t\t\t\t</div>\n<div><div class=\"math-answer-select-wrap\"></div></div>","rationale_html":"<p><strong>F.</strong> <strong>Incorrect.</strong> To isolate x in the given equation, add 1 to each side of the equation and then divide each side of the resulting equation by 5. Be careful to divide all terms by 5 and to watch for sign errors.</p><p><strong>G.</strong> <strong>Incorrect.</strong> To isolate x in the given equation, add 1 to each side of the equation and then divide each side of the resulting equation by 5. Be careful to divide all terms by 5. You may have forgotten to divide the constant term by 5.</p><p><strong>H.</strong> <strong>Incorrect.</strong> To isolate x in the given equation, add 1 to each side of the equation and then divide each side of the resulting equation by 5. Be careful to watch for sign errors. You may have made a sign error when eliminating the constant term from the right side of the equation.</p><p><strong>J.</strong> <strong>Correct.</strong> To isolate x in the given equation, add 1 to each side of the equation and then divide each side of the resulting equation by 5: <span style=\"white-space: nowrap;\"><span class=\"visually-hidden\"></span><math><mn>6</mn><mi>y</mi><mo>+</mo><mn>1</mn><mo>=</mo><mn>5</mn><mi>x</mi><mo>↔</mo><mfrac><mrow><mn>6</mn><mi>y</mi><mo>+</mo><mn>1</mn></mrow><mn>5</mn></mfrac><mo>=</mo><mi>x</mi></math>.</span></p>","correct_answer":["J"],"equiv_key":"147d340a5e164cd92f133021","has_media":false,"has_mathml":true,"has_table":false,"section_label":"Mathematics","options":[{"label":"F","content_html":"<p><span>six fifths y minus 1</span>65y-1</p>","ord":0},{"label":"G","content_html":"<p><span>six fifths y+1</span>65y+1</p>","ord":1},{"label":"H","content_html":"<p><span>fraction with numerator 6y minus 1 and denominator 5</span>6y−15</p>","ord":2},{"label":"J","content_html":"<p><span>fraction with numerator 6y+1 and denominator 5</span>6y+15</p>","ord":3}],"passage":null,"attribution":{"source_id":"act_quizme","source_name":"ACT QuizMe official practice questions","rights_holder":"ACT Education Corp.","canonical_url":"https://quizme.act.org/","retrieved_from":"https://quizme.act.org/","attribution":"Official ACT practice questions © ACT Education Corp., from the QuizMe practice quizzes at quizme.act.org.","disclaimer":"ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.","license":"ACT Education Corp. copyright. Published free on the public web; not licensed for redistribution.","redistributable":false,"item_count":78},"equivalents":[]}