{"id":3191,"date":"2019-11-19T13:31:05","date_gmt":"2019-11-19T18:31:05","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&#038;p=3191"},"modified":"2019-11-27T13:02:58","modified_gmt":"2019-11-27T18:02:58","slug":"midterm-one-version-b","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-one-version-b\/","title":{"raw":"Midterm 1: Version B","rendered":"Midterm 1: Version B"},"content":{"raw":"[latexpage]\r\n<ol>\r\n \t<li>Evaluate: \\(-b - \\sqrt{b^2 - 4ac}\\) if \\(a=5,\\) \\(b=6,\\) and \\(c=1.\\)<\/li>\r\n \t<li>Solve for \\(x\\) in the equation \\(3(5x - 6) = 4\\left[-3(2 - x)\\right].\\)<\/li>\r\n \t<li>Isolate the variable \\(b\\) in the equation \\(A=\\dfrac{h}{B \\cdot b}.\\)<\/li>\r\n \t<li>Solve for \\(x\\) in the equation \\(\\dfrac{x+3}{5} - \\dfrac{x}{2} = \\dfrac{5-3x}{10}.\\)<\/li>\r\n \t<li>Find the equation of the horizontal line that passes through the point \\((-3, 4).\\)<\/li>\r\n \t<li>Find the equation that has a slope of \\(\\dfrac{1}{3}\\) and passes through the point \\((-1, 4).\\)<\/li>\r\n \t<li>Find the equation of the line passing through the points \\((0, 4)\\) and \\((-3, 5).\\)<\/li>\r\n \t<li>Graph the relation \\(y = \\dfrac{1}{3}x - 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>\\(6x - 4(3 - 2x) &gt; 5 (3 - 4x) + 7\\)<\/li>\r\n \t<li>\\(-3 \\le 2x + 3 &lt; 9\\)<\/li>\r\n \t<li>\\(\\left| \\dfrac{3x+2}{5}\\right| &lt;2\\)<\/li>\r\n \t<li>Graph the relation \\(5x + 2y &lt; 10.\\)<\/li>\r\n \t<li>Find two consecutive even integers such that their sum is 16 less than five times the first integer.<\/li>\r\n \t<li>Karl is going to cut a 40 cm cable into 2 pieces. If the first piece is to be 4 times as long as the second piece, find the length of each piece.<\/li>\r\n \t<li>\\(P\\) varies directly as \\(T\\) and inversely as \\(V.\\) If \\(P = 100\\) when \\(T = 200\\) and \\(V = 500,\\) find the constant \\(k,\\) then use this to find \\(P\\) when \\(T = 100\\) and \\(V = 500.\\)<\/li>\r\n<\/ol>\r\n<a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/midterm-one-version-b-answer-key\/\">Midterm 1: Version B Answer Key<\/a>\r\n\r\n<!--VERSION C-->","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-b5dfe63c32f50be657f4ce7f1fa0c3d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#61;&#53;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"46\" style=\"vertical-align: -4px;\" \/> <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-64be44c3bc84fe5a79be71bf0805c4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#61;&#54;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"44\" 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-fbdf563fc26983503b8c32fbe0daee1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#40;&#53;&#120;&#32;&#45;&#32;&#54;&#41;&#32;&#61;&#32;&#52;&#92;&#108;&#101;&#102;&#116;&#91;&#45;&#51;&#40;&#50;&#32;&#45;&#32;&#120;&#41;&#92;&#114;&#105;&#103;&#104;&#116;&#93;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"202\" style=\"vertical-align: -5px;\" \/><\/li>\n<li>Isolate the variable <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-68615f88ce048c005e35fe5116ee1e9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\" \/> in the equation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-03ff230a6cd0699e8c5a060c81c2a937_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#104;&#125;&#123;&#66;&#32;&#92;&#99;&#100;&#111;&#116;&#32;&#98;&#125;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"80\" style=\"vertical-align: -12px;\" \/><\/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-8ff83df682ff242339b74eb687770773_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#43;&#51;&#125;&#123;&#53;&#125;&#32;&#45;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#125;&#123;&#50;&#125;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#45;&#51;&#120;&#125;&#123;&#49;&#48;&#125;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"159\" style=\"vertical-align: -13px;\" \/><\/li>\n<li>Find the equation of the horizontal line that passes through the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-92f47d525e7691750f17d43786ac763f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#51;&#44;&#32;&#52;&#41;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"56\" 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-f75e1d5662b2e1aba79b41ca6a2314da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#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-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>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-2044af6ae6772bf982e96cc262a35fb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#48;&#44;&#32;&#52;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-077adf47186c119f7334ceec160170c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#45;&#51;&#44;&#32;&#53;&#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-9d07388f1137b97a98ffeda5064eb819_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#32;&#61;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#120;&#32;&#45;&#32;&#50;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"91\" style=\"vertical-align: -12px;\" \/><\/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-98df5fde58eeda7985aac47275af6b72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#120;&#32;&#45;&#32;&#52;&#40;&#51;&#32;&#45;&#32;&#50;&#120;&#41;&#32;&#62;&#32;&#53;&#32;&#40;&#51;&#32;&#45;&#32;&#52;&#120;&#41;&#32;&#43;&#32;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"239\" style=\"vertical-align: -4px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-5648ea0f0b3d54efdce2df41055e542c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#51;&#32;&#92;&#108;&#101;&#32;&#50;&#120;&#32;&#43;&#32;&#51;&#32;&#60;&#32;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"127\" style=\"vertical-align: -3px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-1c21099d81ea152933632b517a9e1f21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#124;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#120;&#43;&#50;&#125;&#123;&#53;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#124;&#32;&#60;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"95\" style=\"vertical-align: -17px;\" \/><\/li>\n<li>Graph the relation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-ade008fa46ebe7d31494d9af06190dc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#120;&#32;&#43;&#32;&#50;&#121;&#32;&#60;&#32;&#49;&#48;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"104\" style=\"vertical-align: -4px;\" \/><\/li>\n<li>Find two consecutive even integers such that their sum is 16 less than five times the first integer.<\/li>\n<li>Karl is going to cut a 40 cm cable into 2 pieces. If the first piece is to be 4 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-1103c2de4cfd0108314426b5a46f8aca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\" \/> varies directly as <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-cf1d8b770537f1ff0cdc5a81600a3eab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\" \/> and inversely as <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-d0ea7611714111a84f89d97649616108_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: 0px;\" \/> If <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-d5c8915fd4de4453fada52e6ad36b396_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#32;&#61;&#32;&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"64\" style=\"vertical-align: -1px;\" \/> when <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-21f5bcf941df7be7cd9041a42c3e5bd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;&#32;&#61;&#32;&#50;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"63\" style=\"vertical-align: 0px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-758d981c554a46fccabbcc73e9ce4b2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#32;&#61;&#32;&#53;&#48;&#48;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"69\" 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 this to find <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-1103c2de4cfd0108314426b5a46f8aca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\" \/> when <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-f9d6fcd57ed24953a45b8e7e8f2ad5f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;&#32;&#61;&#32;&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"63\" style=\"vertical-align: -1px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-c4edb0bc7ee1d2def71fd69c06c92f80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#32;&#61;&#32;&#53;&#48;&#48;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"69\" style=\"vertical-align: 0px;\" \/><\/li>\n<\/ol>\n<p><a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/midterm-one-version-b-answer-key\/\">Midterm 1: Version B Answer Key<\/a><\/p>\n<p><!--VERSION C --><\/p>\n","protected":false},"author":14,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-3191","chapter","type-chapter","status-publish","hentry"],"part":368,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3191","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":6,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3191\/revisions"}],"predecessor-version":[{"id":3584,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3191\/revisions\/3584"}],"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\/3191\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=3191"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapter-type?post=3191"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=3191"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=3191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}