{"id":3196,"date":"2019-11-19T13:32:45","date_gmt":"2019-11-19T18:32:45","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&#038;p=3196"},"modified":"2019-11-27T13:06:29","modified_gmt":"2019-11-27T18:06:29","slug":"midterm-one-version-c","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-one-version-c\/","title":{"raw":"Midterm 1: Version C","rendered":"Midterm 1: Version C"},"content":{"raw":"[latexpage]\r\n<ol>\r\n \t<li>Evaluate \\(-b - \\sqrt{b^2 - 4ac}\\) if \\(a=4, b=4,\\) and \\(c=1.\\)<\/li>\r\n \t<li>Solve for \\(x\\) in the equation \\(2(x - 4)+8 = 3-7(x+3).\\)<\/li>\r\n \t<li>Isolate the variable \\(B\\) in the equation \\(A=\\dfrac{h}{B+b}.\\)<\/li>\r\n \t<li>Solve for \\(x\\) in the equation \\(\\dfrac{x}{15} - \\dfrac{x-3}{3} = \\dfrac{1}{5}.\\)<\/li>\r\n \t<li>Write the equation of the vertical line that passes through the point \\((-2, -2).\\)<\/li>\r\n \t<li>Find the equation that has a slope of \\(\\dfrac{2}{3}\\) and passes through the point \\((0, -3).\\)<\/li>\r\n \t<li>Find the equation of the line passing through the points \\((14, -6)\\) and \\((-1, 4).\\)<\/li>\r\n \t<li>Graph the relation \\(2x-y=-2.\\)<\/li>\r\n<\/ol>\r\nFor questions 9 to 11, find each solution set and graph it.\r\n<ol start=\"9\">\r\n \t<li>\\(0 \\le 2x + 4 &lt;8\\)<\/li>\r\n \t<li>\\(y-1 &gt;3\\text{ or }y-1&lt;-3\\)<\/li>\r\n \t<li>\\(|2x-3| &gt;5\\)<\/li>\r\n \t<li>Graph the relation \\(y=| x | - 3.\\)<\/li>\r\n \t<li>Find two numbers such that 5 times the larger number plus 3 times the smaller is 49, and 4 times the larger minus twice the smaller is 26.<\/li>\r\n \t<li>Karl is going to cut a 42 cm cable into 2 pieces. If the first piece is to be 5 times as long as the second piece, find the length of each piece.<\/li>\r\n \t<li>\\(y\\) varies jointly with \\(m\\) and inversely with the square of \\(d.\\) If \\(y = 3\\) when \\(m = 2\\) and \\(d = 4,\\) find the constant \\(k,\\) then use \\(k\\) to find \\(y\\) when \\(m = 25\\) and \\(d = 5.\\)<\/li>\r\n<\/ol>\r\n<a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/midterm-one-version-c-answer-key\/\">Midterm 1: Version C Answer Key<\/a>","rendered":"<ol>\n<li>Evaluate <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-6b6dddf4eb03839667e5116b89a19128_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#98;&#32;&#45;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#98;&#94;&#50;&#32;&#45;&#32;&#52;&#97;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"120\" style=\"vertical-align: -2px;\" \/> if <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-329b8369eeb28751cd888c7ef2e69e8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#61;&#52;&#44;&#32;&#98;&#61;&#52;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"94\" style=\"vertical-align: -4px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-9f4c819149171a62ad88ed54e7101f84_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#61;&#49;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"44\" style=\"vertical-align: -1px;\" \/><\/li>\n<li>Solve for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-32aa7af74ac10d419337e41b349ed05e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/> in the equation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-8ff68269f770f00ae8b639be69b4c3b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#40;&#120;&#32;&#45;&#32;&#52;&#41;&#43;&#56;&#32;&#61;&#32;&#51;&#45;&#55;&#40;&#120;&#43;&#51;&#41;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"216\" style=\"vertical-align: -4px;\" \/><\/li>\n<li>Isolate the variable <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-c4fc1fcbcde9a8a9521ab443dda0c20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\" \/> in the equation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-f3205e13e09d1028541fdff9a2e4dccb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#104;&#125;&#123;&#66;&#43;&#98;&#125;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"88\" style=\"vertical-align: -14px;\" \/><\/li>\n<li>Solve for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-32aa7af74ac10d419337e41b349ed05e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/> in the equation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-00603eacde976f4d236e8fc1d169031d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#125;&#123;&#49;&#53;&#125;&#32;&#45;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#45;&#51;&#125;&#123;&#51;&#125;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#125;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"126\" style=\"vertical-align: -13px;\" \/><\/li>\n<li>Write the equation of the vertical line that passes through the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-b75ffa131f1ae970de83c4535698264b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#50;&#44;&#32;&#45;&#50;&#41;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"70\" style=\"vertical-align: -4px;\" \/><\/li>\n<li>Find the equation that has a slope of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-47d20e53384254fb72fe2bbc54bd7f98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\" \/> and passes through the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-d523da920ad4622adbfe84a08d614411_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#32;&#45;&#51;&#41;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"57\" style=\"vertical-align: -4px;\" \/><\/li>\n<li>Find the equation of the line passing through the points <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-87e54bf2c3fb2697d0fb86474c609e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#49;&#52;&#44;&#32;&#45;&#54;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"61\" style=\"vertical-align: -4px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-b0163d4dd9202f09d248ab8a19d54c8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#49;&#44;&#32;&#52;&#41;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"56\" style=\"vertical-align: -4px;\" \/><\/li>\n<li>Graph the relation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-6771d53b7b0729296c208433a384f53a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#45;&#121;&#61;&#45;&#50;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"101\" style=\"vertical-align: -4px;\" \/><\/li>\n<\/ol>\n<p>For questions 9 to 11, find each solution set and graph it.<\/p>\n<ol start=\"9\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-79c3f15062caaacdceeaf0bb81ff57bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#32;&#92;&#108;&#101;&#32;&#50;&#120;&#32;&#43;&#32;&#52;&#32;&#60;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"115\" style=\"vertical-align: -3px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-e201b378c76cf6d7bc4298b99d2e9793_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#45;&#49;&#32;&#62;&#51;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#111;&#114;&#32;&#125;&#121;&#45;&#49;&#60;&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"186\" style=\"vertical-align: -4px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-e937ee2c306bfc4cd9857fde85285ea0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#124;&#50;&#120;&#45;&#51;&#124;&#32;&#62;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"89\" style=\"vertical-align: -4px;\" \/><\/li>\n<li>Graph the relation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-ba8f30d2f16644a63b2b6e37e3543a04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#124;&#32;&#120;&#32;&#124;&#32;&#45;&#32;&#51;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/li>\n<li>Find two numbers such that 5 times the larger number plus 3 times the smaller is 49, and 4 times the larger minus twice the smaller is 26.<\/li>\n<li>Karl is going to cut a 42 cm cable into 2 pieces. If the first piece is to be 5 times as long as the second piece, find the length of each piece.<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-c7fb85118f77dc4d6e08b6817762ced0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/> varies jointly with <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-8a26b77f4120ae4607665fda5a8fc7d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\" \/> and inversely with the square of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-c36bd4547c4e31a7dc3ef24b2833b86b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\" \/> If <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-9e7057fd7e08652a72b87fb2f488af80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\" \/> when <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-63a77db24f9c5d0811d0924ba7f478de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#109;&#32;&#61;&#32;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-ca4a3a58c828754cf83d792c5e4985e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#32;&#61;&#32;&#52;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"46\" style=\"vertical-align: -4px;\" \/> find the constant <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-59cd9014088131e34df4944c42da0d2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"14\" style=\"vertical-align: -4px;\" \/> then use <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-2a224b7652111e4ff350b9c503ca83f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"9\" style=\"vertical-align: 0px;\" \/> to find <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-c7fb85118f77dc4d6e08b6817762ced0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/> when <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-52da3ede510d73365e3c349494a7c711_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#109;&#32;&#61;&#32;&#50;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"56\" style=\"vertical-align: 0px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-f344a640cb46f1a2f7f9b4f23aa6eac7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#32;&#61;&#32;&#53;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"46\" style=\"vertical-align: 0px;\" \/><\/li>\n<\/ol>\n<p><a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/midterm-one-version-c-answer-key\/\">Midterm 1: Version C Answer Key<\/a><\/p>\n","protected":false},"author":14,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-3196","chapter","type-chapter","status-publish","hentry"],"part":368,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3196","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/14"}],"version-history":[{"count":7,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3196\/revisions"}],"predecessor-version":[{"id":3586,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3196\/revisions\/3586"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/368"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3196\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=3196"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapter-type?post=3196"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=3196"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=3196"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}