{"id":3232,"date":"2019-11-19T14:20:17","date_gmt":"2019-11-19T19:20:17","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&#038;p=3232"},"modified":"2019-11-22T18:02:28","modified_gmt":"2019-11-22T23:02:28","slug":"midterm-two-version-a","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-two-version-a\/","title":{"raw":"Midterm 2: Version A","rendered":"Midterm 2: Version A"},"content":{"raw":"[latexpage]\r\n\r\nFind the solution set of the system graphically.\r\n<ol>\r\n \t<li>\\(\\left\\{\r\n\\begin{array}{rrrrr}\r\nx&amp;+&amp;2y&amp;=&amp;-5 \\\\\r\nx&amp;-&amp;y&amp;=&amp;-2\r\n\\end{array}\\right.\\)<\/li>\r\n<\/ol>\r\nFor problems 2\u20134, find the solution set of each system by any convenient method.\r\n<ol start=\"2\">\r\n \t<li>\\(\\left\\{\r\n\\begin{array}{rrrrr}\r\n4x&amp;-&amp;3y&amp;=&amp;13 \\\\\r\n5x&amp;-&amp;2y&amp;=&amp;4\r\n\\end{array}\\right.\\)<\/li>\r\n \t<li>\\(\\left\\{\r\n\\begin{array}{rrrrr}\r\nx&amp;-&amp;2y&amp;=&amp;-5 \\\\\r\n2x&amp;+&amp;y&amp;=&amp;5\r\n\\end{array}\\right.\\)<\/li>\r\n \t<li>\\(\\left\\{\r\n\\begin{array}{rrrrrrr}\r\nx&amp;+&amp;y&amp;+&amp;2z&amp;=&amp;0 \\\\\r\n2x&amp;&amp;&amp;+&amp;z&amp;=&amp;1 \\\\\r\n&amp;&amp;3y&amp;+&amp;4z&amp;=&amp;0\r\n\\end{array}\\right.\\)<\/li>\r\n<\/ol>\r\nReduce the following expressions in questions 5\u20137.\r\n<ol start=\"5\">\r\n \t<li>\\(28 - \\{5x - \\left[6x - 3(5 - 2x)\\right]^0 \\} + 5x^2\\)<\/li>\r\n \t<li>\\(4a^2 (a - 3)^2\\)<\/li>\r\n \t<li>\\((x^2 + 2x + 3)^2\\)<\/li>\r\n<\/ol>\r\nDivide using long division.\r\n<ol start=\"8\">\r\n \t<li>\\((2x^3 - 7x^2 + 15) \\div (x - 2)\\)<\/li>\r\n<\/ol>\r\nFor problems 9\u201312, factor each expression completely.\r\n<ol start=\"9\">\r\n \t<li>\\(2ab + 3ac - 4b - 6c\\)<\/li>\r\n \t<li>\\(a^2 - 2ab - 15b^2\\)<\/li>\r\n \t<li>\\(x^3 + x^2 - 9x - 9\\)<\/li>\r\n \t<li>\\(x^3 - 64y^3\\)<\/li>\r\n<\/ol>\r\nSolve the following word problems.\r\n<ol start=\"13\">\r\n \t<li>The sum of a brother's and sister\u2019s ages is 35. Ten years ago, the brother was twice his sister\u2019s age. How old are they now?<\/li>\r\n \t<li>Kyra gave her brother Mark a logic question to solve: If she has 20 coins in her pocket worth \\(\\$2.75\\), and if the coins are only dimes and quarters, how many of each kind of coin does she have?<\/li>\r\n \t<li>A 50 kg blend of two different grades of tea is sold for \\(\\$191.25.\\) If grade A sells for \\(\\$3.95\\) per kg and grade B sells for \\(\\$3.70\\) per kg, how many kg of each grade were used?<\/li>\r\n<\/ol>\r\n<a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/midterm-two-version-a-answer-key\/\">Midterm 2: Version A Answer Key<\/a>\r\n<h1><\/h1>","rendered":"<p>Find the solution set of the system graphically.<\/p>\n<ol>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-71453f003bd7cfc3924ebee9533914c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123; &#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#114;&#114;&#114;&#114;&#114;&#125; &#120;&#38;&#43;&#38;&#50;&#121;&#38;&#61;&#38;&#45;&#53;&#32;&#92;&#92; &#120;&#38;&#45;&#38;&#121;&#38;&#61;&#38;&#45;&#50; &#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"162\" style=\"vertical-align: -17px;\" \/><\/li>\n<\/ol>\n<p>For problems 2\u20134, find the solution set of each system by any convenient method.<\/p>\n<ol start=\"2\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-d59bc65073f251cf69e6b01ab6620d33_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123; &#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#114;&#114;&#114;&#114;&#114;&#125; &#52;&#120;&#38;&#45;&#38;&#51;&#121;&#38;&#61;&#38;&#49;&#51;&#32;&#92;&#92; &#53;&#120;&#38;&#45;&#38;&#50;&#121;&#38;&#61;&#38;&#52; &#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"167\" style=\"vertical-align: -17px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-13c7a79c77fc5602b7c07f047a021c79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123; &#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#114;&#114;&#114;&#114;&#114;&#125; &#120;&#38;&#45;&#38;&#50;&#121;&#38;&#61;&#38;&#45;&#53;&#32;&#92;&#92; &#50;&#120;&#38;&#43;&#38;&#121;&#38;&#61;&#38;&#53; &#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"171\" style=\"vertical-align: -17px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-5b46840428ca1d8b821dc0d971af8b14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123; &#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#114;&#114;&#114;&#114;&#114;&#114;&#114;&#125; &#120;&#38;&#43;&#38;&#121;&#38;&#43;&#38;&#50;&#122;&#38;&#61;&#38;&#48;&#32;&#92;&#92; &#50;&#120;&#38;&#38;&#38;&#43;&#38;&#122;&#38;&#61;&#38;&#49;&#32;&#92;&#92; &#38;&#38;&#51;&#121;&#38;&#43;&#38;&#52;&#122;&#38;&#61;&#38;&#48; &#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"223\" style=\"vertical-align: -28px;\" \/><\/li>\n<\/ol>\n<p>Reduce the following expressions in questions 5\u20137.<\/p>\n<ol start=\"5\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-754e74590d9067c9da57c421215beecb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#56;&#32;&#45;&#32;&#92;&#123;&#53;&#120;&#32;&#45;&#32;&#92;&#108;&#101;&#102;&#116;&#91;&#54;&#120;&#32;&#45;&#32;&#51;&#40;&#53;&#32;&#45;&#32;&#50;&#120;&#41;&#92;&#114;&#105;&#103;&#104;&#116;&#93;&#94;&#48;&#32;&#92;&#125;&#32;&#43;&#32;&#53;&#120;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"276\" style=\"vertical-align: -5px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-4ab8b5f8fd5079f096dca5bd10be30aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#97;&#94;&#50;&#32;&#40;&#97;&#32;&#45;&#32;&#51;&#41;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"87\" style=\"vertical-align: -4px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-b1a2bfaaa05bc07ecf631ed81d0b7c0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#120;&#94;&#50;&#32;&#43;&#32;&#50;&#120;&#32;&#43;&#32;&#51;&#41;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" style=\"vertical-align: -4px;\" \/><\/li>\n<\/ol>\n<p>Divide using long division.<\/p>\n<ol start=\"8\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-4b2933a18d212cbf0edcac6cb1f2a2e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#50;&#120;&#94;&#51;&#32;&#45;&#32;&#55;&#120;&#94;&#50;&#32;&#43;&#32;&#49;&#53;&#41;&#32;&#92;&#100;&#105;&#118;&#32;&#40;&#120;&#32;&#45;&#32;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"203\" style=\"vertical-align: -4px;\" \/><\/li>\n<\/ol>\n<p>For problems 9\u201312, factor each expression completely.<\/p>\n<ol start=\"9\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-f250cd40a0cb25a36ec93b001e7821e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#97;&#98;&#32;&#43;&#32;&#51;&#97;&#99;&#32;&#45;&#32;&#52;&#98;&#32;&#45;&#32;&#54;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"150\" style=\"vertical-align: -2px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-20510d390e573bfa4b0cfc7c82d00539_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;&#32;&#45;&#32;&#50;&#97;&#98;&#32;&#45;&#32;&#49;&#53;&#98;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"119\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-bb8254b185653ac9b4a01400563a7b98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#94;&#51;&#32;&#43;&#32;&#120;&#94;&#50;&#32;&#45;&#32;&#57;&#120;&#32;&#45;&#32;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"129\" style=\"vertical-align: -2px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-b2626f511980a857183b61e7288c4f07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#94;&#51;&#32;&#45;&#32;&#54;&#52;&#121;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -4px;\" \/><\/li>\n<\/ol>\n<p>Solve the following word problems.<\/p>\n<ol start=\"13\">\n<li>The sum of a brother&#8217;s and sister\u2019s ages is 35. Ten years ago, the brother was twice his sister\u2019s age. How old are they now?<\/li>\n<li>Kyra gave her brother Mark a logic question to solve: If she has 20 coins in her pocket worth <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-9ce689eb7c12b651f2965eeeb08d6967_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#36;&#50;&#46;&#55;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/>, and if the coins are only dimes and quarters, how many of each kind of coin does she have?<\/li>\n<li>A 50 kg blend of two different grades of tea is sold for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-420aab371a0795505ce5b3269e478561_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#36;&#49;&#57;&#49;&#46;&#50;&#53;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"63\" style=\"vertical-align: -1px;\" \/> If grade A sells for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-a1b72d9b4c5ca9239ea97d5f497968ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#36;&#51;&#46;&#57;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> per kg and grade B sells for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-efb34f732863e2bda9b9eed5b0f7549b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#36;&#51;&#46;&#55;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: -1px;\" \/> per kg, how many kg of each grade were used?<\/li>\n<\/ol>\n<p><a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/midterm-two-version-a-answer-key\/\">Midterm 2: Version A Answer Key<\/a><\/p>\n<h1><\/h1>\n","protected":false},"author":14,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-3232","chapter","type-chapter","status-publish","hentry"],"part":383,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3232","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":4,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3232\/revisions"}],"predecessor-version":[{"id":3490,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3232\/revisions\/3490"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/383"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3232\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=3232"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapter-type?post=3232"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=3232"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=3232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}