{"id":"cb_question_bank:1d58218e-2220-42c4-84db-46468f11094d","source_id":"cb_question_bank","source_item_id":"1d58218e-2220-42c4-84db-46468f11094d","external_id":"513fd8bd-86d1-4102-aea1-0a8bc65de5dd","ibn":null,"question_id":"a5834ea4","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"f left parenthesis x right parenthesis equals 39 For the given linear function f , which table gives three values of x and their corresponding values of f left parenthesis x right parenthesis ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"f left parenthesis x right parenthesis equals 39\"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mrow><mn>39</mn></mrow></math></p>\n<p style=\"text-align: left;\">For the given linear function <math alttext=\"f\"><mi>f</mi>\n</math>, which table gives three values of <math alttext=\"x\"><mi>x</mi>\n</math> and their corresponding values of&nbsp;<math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math>?&nbsp;</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. For the given linear function <math alttext=\"f\"><mi>f</mi>\n</math>, <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> must equal <math alttext=\"39\"><mn>39</mn>\n</math> for all values of <math alttext=\"x\"><mi>x</mi>\n</math>. Of the given choices, only choice B gives three values of <math alttext=\"x\"><mi>x</mi>\n</math> and their corresponding values of <math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math> for the given linear function <math alttext=\"f\"><mi>f</mi>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual errors.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":true,"source_created_at":"2023-08-02T20:25:59.811000+00:00","source_updated_at":"2023-08-02T20:25:59.811000+00:00","options":[{"label":"A","content_html":"<figure class=\"table left-justified\"><table border=\"1\">\n<tbody>\n<tr>\n<th style=\"text-align: center; width: 34.6701px;\" scope=\"col\" id=\"4f022fbb-2f55-4e08-9fe7-5c298aaead59_option_1_tableColumn_1\"><math alttext=\"x\"><mi>x</mi>\n</math></th>\n<th style=\"text-align: center; width: 56.8924px;\" scope=\"col\" id=\"4f022fbb-2f55-4e08-9fe7-5c298aaead59_option_1_tableColumn_2\"><math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math></th>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"1\"><mn>1</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"2\"><mn>2</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure>","ord":0},{"label":"B","content_html":"<figure class=\"table left-justified\"><table border=\"1\">\n<tbody>\n<tr>\n<th style=\"text-align: center; width: 34.6701px;\" scope=\"col\" id=\"adc8af16-9811-44d3-930d-68a522ef4aaf_option_2_tableColumn_1\"><math alttext=\"x\"><mi>x</mi>\n</math></th>\n<th style=\"text-align: center; width: 56.8924px;\" scope=\"col\" id=\"adc8af16-9811-44d3-930d-68a522ef4aaf_option_2_tableColumn_2\"><math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math></th>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"39\"><mn>39</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"1\"><mn>1</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"39\"><mn>39</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"2\"><mn>2</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"39\"><mn>39</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure>","ord":1},{"label":"C","content_html":"<figure class=\"table left-justified\"><table border=\"1\">\n<tbody>\n<tr>\n<th style=\"text-align: center; width: 34.6701px;\" scope=\"col\" id=\"df144973-418d-461c-a0cc-e39a99a373ea_option_3_tableColumn_1\"><math alttext=\"x\"><mi>x</mi>\n</math></th>\n<th style=\"text-align: center; width: 56.8924px;\" scope=\"col\" id=\"df144973-418d-461c-a0cc-e39a99a373ea_option_3_tableColumn_2\"><math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math></th>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"1\"><mn>1</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"39\"><mn>39</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"2\"><mn>2</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"78\"><mn>78</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure>","ord":2},{"label":"D","content_html":"<figure class=\"table left-justified\"><table border=\"1\">\n<tbody>\n<tr>\n<th style=\"text-align: center; width: 34.6701px;\" scope=\"col\" id=\"0c6eaa12-ee51-4f01-9539-43ba5d18039a_option_4_tableColumn_1\"><math alttext=\"x\"><mi>x</mi>\n</math></th>\n<th style=\"text-align: center; width: 56.8924px;\" scope=\"col\" id=\"0c6eaa12-ee51-4f01-9539-43ba5d18039a_option_4_tableColumn_2\"><math alttext=\"f left parenthesis x right parenthesis\"><mi>f</mi><mfenced><mi>x</mi></mfenced></math></th>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"39\"><mn>39</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"1\"><mn>1</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n<tr>\n<td style=\" text-align: center;\"><math alttext=\"2\"><mn>2</mn>\n</math></td>\n<td style=\" text-align: center;\"><math alttext=\"negative 39\"><mo>-</mo><mn>39</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure>","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}