{"id":"5c3df3ce04818b724994eb5c","name":"ORCCA Introductory Algebra","summary":"Edfinity is supported by the National Science Foundation","description":"\u003cp dir=\"ltr\" id=\"isPasted\"\u003eThis online user-contributed homework course comprises of algorithmic problems carefully organized into problem sets mapped to textbook sections. Use this course as-is, or customize at any level. You can mix-and-match problems from other user-contributed courses, add problems from the user-contributed problem repository, or write your own problems.\u003c/p\u003e\u003cp dir=\"ltr\"\u003e\u003cstrong\u003eHow to use this course\u003c/strong\u003e\u003c/p\u003e\u003col\u003e\u003cli dir=\"ltr\"\u003e\u003cstrong\u003eHomework\u003c/strong\u003e\u003cstrong\u003e:\u003c/strong\u003e Assign high quality problems with hints and personalized feedback to develop problem-solving skills.\u003c/li\u003e\u003cli dir=\"ltr\"\u003e\u003cstrong\u003eTesting\u003c/strong\u003e\u003cstrong\u003e:\u003c/strong\u003e Create summative secure online quizzes and tests in minutes.\u0026nbsp;\u003c/li\u003e\u003cli dir=\"ltr\"\u003e\u003cstrong\u003eSupplementary resources:\u003c/strong\u003e Embed videos, class notes, and applets alongside assignments.\u003c/li\u003e\u003cli dir=\"ltr\"\u003e\u003cstrong\u003eIntervention:\u003c/strong\u003e Use rich analytics to identify and monitor at-risk students for timely intervention.\u003c/li\u003e\u003cli dir=\"ltr\"\u003e\u003cstrong\u003eAnalytics:\u003c/strong\u003e Drill down into student performance and identify problematic or difficult topics.\u003c/li\u003e\u003cli dir=\"ltr\"\u003e\u003cstrong\u003eFlipped classroom:\u003c/strong\u003e Assign pre-class assignments. Save precious class time for discussions.\u003c/li\u003e\u003cli dir=\"ltr\"\u003e\u003cstrong\u003eEmporium classes:\u003c/strong\u003e Use Edfinity for individual/group work for large enrollment sections in labs.\u003c/li\u003e\u003c/ol\u003e\u003cp\u003eEdfinity is a full-featured homework system that supports mathematically-aware problems with algebraic input, evaluation of mathematical expressions, randomized variants, prerequisite pathways for personalized learning, collaboration, coordinated courses, flexible configuration of students\u0026rsquo; experience, and complete customization of assignments.\u003c/p\u003e","description_more":"","price":40.0,"sort_order":0,"active":true,"individual_license":false,"section_id":"5c38c6de0db6d200044a91eb","permissive_license":false,"type":"course","year":null,"section_license":true,"taxable":false,"purchasable":true,"related_product_ids":["5dca10be4a2147269a7da4af","5e656451ee961e000db3a20e","5ef2226481bfe36db775e518"],"paired_product_id":null,"min_quantity":null,"max_quantity":null,"audience":"educator_audience","site_ids":["55843bd46435650003000000"],"package_price":null,"show_toc":true,"author_roles":[],"author_role_title":"Contributors","institution":"","tags_array":["math","oer","algebra","developmental_math"],"hidden_tags":[],"meta_description":null,"term_pricing":true,"curricula":null,"curricula_course":null,"highlights":"\u003cdiv class=\"mb-3\"\u003e\u003cspan class=\"fa fa-subscript fa-fw mr-2\"\u003e\u003c/span\u003e \u003cstrong\u003eInteractive, algorithmic problems\u003cbr\u003e\u003c/strong\u003eAlgebraic, graphing, open response; randomized variants, hints, and tips\u003c/div\u003e\u003cdiv class=\"mb-3\"\u003e\u003cspan class=\"fa fa-hand-holding-heart fa-fw mr-2\"\u003e\u003c/span\u003e\u003cstrong\u003eAdaptive learning and personalization\u003cbr\u003e\u003c/strong\u003eEach student receives personalized support\u003cbr\u003eto fill learning gaps.\u003c/div\u003e\u003cdiv class=\"mb-3\"\u003e\u003cspan class=\"fa fa-fw fa-code-branch mr-2\"\u003e\u003c/span\u003e\u003cstrong\u003eCorequisite course structures\u003cbr\u003e\u003c/strong\u003eUse pre-built corequisite content,\u003cbr\u003eor create your own.\u003c/div\u003e\u003cdiv class=\"mb-3\"\u003e\u003cspan class=\"fa fa-hands-helping fa-fw mr-2\"\u003e\u003c/span\u003e\u003cstrong\u003eLMS integration and accessibility\u003cbr\u003e\u003c/strong\u003eConnect to your LMS in minutes. \u003ca class=\"”underline”\" href=\"http://edfinity.com/vpat\" target=\"_blank\"\u003eVPAT here\u003c/a\u003e.\u003c/div\u003e\u003cdiv class=\"mb-3\"\u003e\u003cspan class=\"fa fa-plug fa-fw mr-2\"\u003e\u003c/span\u003e\u003cstrong\u003eWeBWorK-compatible\u003cbr\u003e\u003c/strong\u003eImport and author WeBWorK problems.\u003c/div\u003e","preview_assignment":{"id":"5c38ca650db6d200044ad29c","name":"1.1 Arithmetic With Negative Numbers Exercises","product":{"id":"5c3df3ce04818b724994eb5c","name":"ORCCA Introductory Algebra"},"master_set":{"id":"5e07937fde359200036a8ad9","problems":{"id":"5e079380de359200036a8ae3","proof":false,"graphical_geometric":false,"tags_array":[],"grade_level_from":null,"grade_level_to":null,"skill_ids":["5a4a52402017b300043a022f"],"contest_event_ids":[],"header":"","solution":"","numeric_tolerance":null,"partial_credit":null,"max_attempts":null,"timeout_seconds":null,"allow_practice":null,"override_show_work":null,"instructional":false,"sketchable":true,"print_num_spacing_lines":3,"print_page_break":false,"partial_scoring":null,"part_attributes":[{"id":"5c38ca650db6d200044ad2a2","part_id":"5c38ca650db6d200044ad2a1","description":null,"points":3.0,"automatic_manual_credit":true,"accessible":false,"format":"ww","use_equation_editor":null,"webwork_features":[],"part_attributes":[{"id":"5c38ca660db6d200044ad2a7","part_id":"5c38ca660db6d200044ad2a4","description":null,"points":1.0,"automatic_manual_credit":true,"accessible":false,"answer":"-11","format":"ws","answer_name":"AnSwEr0001","extra":false,"applet_state":false,"multipart":false,"manually_gradable":false,"answer_text":"\\(-11\\)"},{"id":"5c38ca660db6d200044ad2a8","part_id":"5c38ca660db6d200044ad2a5","description":null,"points":1.0,"automatic_manual_credit":true,"accessible":false,"answer":"-11","format":"ws","answer_name":"AnSwEr0002","extra":false,"applet_state":false,"multipart":false,"manually_gradable":false,"answer_text":"\\(-11\\)"},{"id":"5c38ca660db6d200044ad2a9","part_id":"5c38ca660db6d200044ad2a6","description":null,"points":1.0,"automatic_manual_credit":true,"accessible":false,"answer":"-11","format":"ws","answer_name":"AnSwEr0003","extra":false,"applet_state":false,"multipart":false,"manually_gradable":false,"answer_text":"\\(-11\\)"}],"interactive_html":"\n\u003cdiv class=\"PGML\"\u003e\nAdd the following.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003col type=\"a\" style=\"margin:0; padding-left:2.25em\"\u003e\n\u003cli\u003e\\(\\displaystyle{ -8+(-3)=  }\\)  \u003cinput type=\"text\" class=\"codeshard\" size=\"8\" name=\"AnSwEr0001\" id=\"AnSwEr0001\" aria-label=\"answer 1 \" dir=\"auto\" value=\"\"\u003e\n\u003cinput type=\"hidden\" name=\"previous_AnSwEr0001\" value=\"\"\u003e\n \u003c/li\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003cli\u003e\\(\\displaystyle{ -6+(-5)=  }\\)  \u003cinput type=\"text\" class=\"codeshard\" size=\"8\" name=\"AnSwEr0002\" id=\"AnSwEr0002\" aria-label=\"answer 2 \" dir=\"auto\" value=\"\"\u003e\n\u003cinput type=\"hidden\" name=\"previous_AnSwEr0002\" value=\"\"\u003e\n \u003c/li\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003cli\u003e\\(\\displaystyle{ -3+(-8)=  }\\)  \u003cinput type=\"text\" class=\"codeshard\" size=\"8\" name=\"AnSwEr0003\" id=\"AnSwEr0003\" aria-label=\"answer 3 \" dir=\"auto\" value=\"\"\u003e\n\u003cinput type=\"hidden\" name=\"previous_AnSwEr0003\" value=\"\"\u003e\n \u003c/li\u003e\n\u003c/ol\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class=\"solution\"\u003e\n\u003cp\u003e\u003cb\u003eSolution:\u003c/b\u003e \u003cbr\u003e\u003c/p\u003e\n\u003cdiv class=\"PGML\"\u003e\nHere are two different explanations of how two negative numbers can be added together.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003ch6 style=\"margin:0\"\u003eMETHOD 1\u003c/h6\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nUse a number line. Let’s find \\(-8+(-3)\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nFirst, find \\(-8\\) on the number line. Next, since we are adding a negative number, we move left, in the negative direction, by \\(3\\) units. We will reach \\({-11}\\) on the number line, which is the answer.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003cdiv style=\"text-align:center; margin:0\"\u003e\n\u003ca href=\"https://webwork.edfinity.com/webwork2_files/tmp/quick//gif/b00ba6d7-01d0-3b37-81b2-0e10daaae56a___5cb5bd4e-24ad-3477-b9b8-8b532f04bf0b.png\" target=\"_blank\" onclick=\"window.open(this.href,this.target, 'width=430,height=430,scrollbars=yes,resizable=on'); return false;\"\u003e\n \t\t\t         \u003cimg src=\"https://webwork.edfinity.com/webwork2_files/tmp/quick//gif/b00ba6d7-01d0-3b37-81b2-0e10daaae56a___5cb5bd4e-24ad-3477-b9b8-8b532f04bf0b.png\" width=\"400\" height=\"50\" alt=\"Graph of a number line with a dot at -8 and an arrow pointing leftward to -11.\" title=\"A number line showing addition with negative numbers.\"\u003e\n \t\t\t         \u003c/a\u003e\n \t\t\t\n\u003c/div\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nSo, \\(-8+(-3)={-11}\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nSimilarly, \\(-6+(-5)={-11}\\), and \\(-3+(-8)={-11}\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003ch6 style=\"margin:0\"\u003eMETHOD 2\u003c/h6\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nA second method asks you to think in terms of money. Let’s find \\(-8+(-3)\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nThe first number is \\(-8\\). Since it’s negative, it’s like you lost \\(8\\) dollars while gambling at the casino this morning.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nThe second number is \\(-3\\). Since it’s negative, it’s like you lost \\(3\\) dollars again while gambling in the casino this afternoon.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nSince you lost twice, you ended up losing a lot, implying the answer is negative.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nSince you lost \\(8\\) dollars and then lost \\(3\\) dollars, it makes sense that you lost a total of \\({11}\\) dollars. So the final answer is: \\(-8+(-3)={-11}\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e","static_html":"\u003cdiv class=\"PGML\"\u003e\nAdd the following.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003col type=\"a\" style=\"margin:0; padding-left:2.25em\"\u003e\n\u003cli\u003e\\(\\displaystyle{ -8+(-3)=  }\\)  \u003cspan class=\"ww-blank\" name=\"AnSwEr0001\"\u003e \u003c/span\u003e\n\n \u003c/li\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003cli\u003e\\(\\displaystyle{ -6+(-5)=  }\\)  \u003cspan class=\"ww-blank\" name=\"AnSwEr0002\"\u003e \u003c/span\u003e\n\n \u003c/li\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003cli\u003e\\(\\displaystyle{ -3+(-8)=  }\\)  \u003cspan class=\"ww-blank\" name=\"AnSwEr0003\"\u003e \u003c/span\u003e\n\n \u003c/li\u003e\n\u003c/ol\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class=\"solution\"\u003e\n\u003cp\u003e\u003cb\u003eSolution:\u003c/b\u003e \u003cbr\u003e\u003c/p\u003e\n\u003cdiv class=\"PGML\"\u003e\nHere are two different explanations of how two negative numbers can be added together.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003ch6 style=\"margin:0\"\u003eMETHOD 1\u003c/h6\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nUse a number line. Let’s find \\(-8+(-3)\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nFirst, find \\(-8\\) on the number line. Next, since we are adding a negative number, we move left, in the negative direction, by \\(3\\) units. We will reach \\({-11}\\) on the number line, which is the answer.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003cdiv style=\"text-align:center; margin:0\"\u003e\n\u003cimg src=\"https://webwork.edfinity.com/webwork2_files/tmp/quick//gif/b00ba6d7-01d0-3b37-81b2-0e10daaae56a___5cb5bd4e-24ad-3477-b9b8-8b532f04bf0b.png\" width=\"400\" height=\"50\" alt=\"Graph of a number line with a dot at -8 and an arrow pointing leftward to -11.\" title=\"A number line showing addition with negative numbers.\"\u003e\n \t\t\t\n\u003c/div\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nSo, \\(-8+(-3)={-11}\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nSimilarly, \\(-6+(-5)={-11}\\), and \\(-3+(-8)={-11}\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003ch6 style=\"margin:0\"\u003eMETHOD 2\u003c/h6\u003e\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nA second method asks you to think in terms of money. Let’s find \\(-8+(-3)\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nThe first number is \\(-8\\). Since it’s negative, it’s like you lost \\(8\\) dollars while gambling at the casino this morning.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nThe second number is \\(-3\\). Since it’s negative, it’s like you lost \\(3\\) dollars again while gambling in the casino this afternoon.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nSince you lost twice, you ended up losing a lot, implying the answer is negative.\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\nSince you lost \\(8\\) dollars and then lost \\(3\\) dollars, it makes sense that you lost a total of \\({11}\\) dollars. So the final answer is: \\(-8+(-3)={-11}\\).\n\u003cdiv style=\"margin-top:1em\"\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e","timeout":false,"header_text":{"css":[],"js":[],"inlinejs":[]}}],"readonly":{"created_at":"2019-12-28T17:40:16.303Z","updated_at":"2019-12-28T17:40:16.303Z","version":null,"user_id":"58ecdcd48ccf1800120c8ac3","name":"Algorithmic (WebWorK)","skill_ids":["5a4a52402017b300043a022f"],"current_digest":"ElECpZs6N+85tK39+2UTw/NS32z+vn1Q64/2dcE63bw=","tags":"add,integer,negative","points":3.0,"type":"webwork","multipart":true,"shallow":true,"static":true,"sources":[],"owned":false,"url":"/problems/5e079380de359200036a8ae3","searchable_text":"Add the following a a b ans1 a c d ans2 a e f ans3 SOLUTIONHere are two different explanations of how two negative numbers can be added together METHOD 1Use a number line Let s find a b First find a on the number line Next since we are adding a negative number we move left in the negative direction by absB units We will reach ans1 on the number line which is the answer image insertGraph gr width 400 height 50 tex size 800 extra html tags alt Graph of a number line with a dot at a and an arrow pointing leftward to ans1 title A number line showing addition with negative numbers So a b ans1 Similarly c d ans2 and e f ans3 METHOD 2A second method asks you to think in terms of money Let s find a b The first number is a Since it s negative it s like you lost absA dollars while gambling at the casino this morning The second number is b Since it s negative it s like you lost absB dollars again while gambling in the casino this afternoon Since you lost twice you ended up losing a lot implying the answer is negative Since you lost absA dollars and then lost absB dollars it makes sense that you lost a total of absAns1 dollars So the final answer is a b ans1","abilities":["read"]}},"readonly":{"shallow":true}}},"readonly":{"level_range":"13","created_at":"2019-01-15T14:53:02.095Z","updated_at":"2026-03-15T19:38:19.361Z","tags":"math,oer,algebra,developmental_math","author_ids":["5c7700f2980f20353b046e6c"],"licensed":true,"thumbnail":"https://d1q29jrdo98n6g.cloudfront.net/uploads/product/image/5c3df3ce04818b724994eb5c/thumb_ORCCAbrandlogo.png","free":false,"user_price":40.0,"term_price":40.0,"displayed_price":40.0,"levels":"13","author_role_title":"Contributors","abilities":[],"section":{"id":"5c38c6de0db6d200044a91eb","name":"ORCCA"}},"authors":[{"id":"5c7700f2980f20353b046e6c","first_name":"Portland","last_name":"Community College","full_name":"Portland Community College","email":"pcc@edfinity.com"}],"image":{"identifier":"ORCCAbrandlogo.png","size":15849,"url":"https://d1q29jrdo98n6g.cloudfront.net/uploads/product/image/5c3df3ce04818b724994eb5c/ORCCAbrandlogo.png","thumb_url":"https://d1q29jrdo98n6g.cloudfront.net/uploads/product/image/5c3df3ce04818b724994eb5c/thumb_ORCCAbrandlogo.png"},"related_products":[{"id":"5dca10be4a2147269a7da4af","name":"OpenStax Elementary Algebra","price":40.0,"individual_license":false,"user_price":40.0},{"id":"5e656451ee961e000db3a20e","name":"College Prep Math (HB5)","price":40.0,"individual_license":false,"user_price":40.0},{"id":"5ef2226481bfe36db775e518","name":"Developmental Math Corequisite for College Algebra/Precalculus","price":40.0,"individual_license":false,"user_price":40.0}],"toc":{"assignments":[{"id":"5cb3846a6c33930004042756","name":"Edfinity Demo"},{"id":"5c38ca650db6d200044ad29c","name":"1.1 Arithmetic With Negative Numbers Exercises"},{"id":"5c38ca860db6d200044ad572","name":"1.2 Fractions And 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