{"id":3312,"date":"2019-11-19T14:57:58","date_gmt":"2019-11-19T19:57:58","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=3312"},"modified":"2019-11-22T18:27:40","modified_gmt":"2019-11-22T23:27:40","slug":"midterm-3-version-e","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-3-version-e\/","title":{"raw":"Midterm 3: Version E","rendered":"Midterm 3: Version E"},"content":{"raw":"[latexpage]\r\n\r\nFor problems 1\u20134, perform the indicated operations and simplify.\r\n
    \r\n \t
  1. \\(\\dfrac{12m^3}{5n^2}\\div \\dfrac{36m^6}{15n^3}\\cdot \\dfrac{8m^4}{6n^2}\\)<\/li>\r\n \t
  2. \\(\\dfrac{x^2+2x}{x^2+9x+14}\\div \\dfrac{2x^3}{2x+14}\\)<\/li>\r\n \t
  3. \\(\\dfrac{x-3}{7}-\\dfrac{x-15}{28}=\\dfrac{3}{4}\\)<\/li>\r\n \t
  4. \\(\\dfrac{\\dfrac{x^2}{y^2}-36}{\\dfrac{x+6y}{y^3}}\\)<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. \\(\\sqrt{x^7y^5}+2xy\\sqrt{36xy^5}-\\sqrt{xy^3}\\)<\/li>\r\n \t
    2. \\(\\dfrac{\\sqrt{7}}{3-\\sqrt{7}}\\)<\/li>\r\n \t
    3. \\(\\left(\\dfrac{x^0y^4}{z^{-12}}\\right)^{\\frac{1}{4}}\\)<\/li>\r\n<\/ol>\r\nFind the solution set.\r\n
        \r\n \t
      1. \\(\\sqrt{4x-5}=\\sqrt{2x+3}\\)<\/li>\r\n<\/ol>\r\nFor problems 9\u201312, find the solution set by any convenient method.\r\n
          \r\n \t
        1. \\(\\phantom{1}\\)\r\n
            \r\n \t
          1. \\(\\dfrac{x^2}{3}=27\\)<\/li>\r\n \t
          2. \\(27x^2=-3x\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          3. \\(\\phantom{1}\\)\r\n
              \r\n \t
            1. \\(x^2-11x-12=0\\)<\/li>\r\n \t
            2. \\(x^2+13x=-12\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. \\(\\dfrac{2}{x}=\\dfrac{2x}{3x+8}\\)<\/li>\r\n \t
            4. \\(x^4-63x^2-64=0\\)<\/li>\r\n \t
            5. The width of a rectangle is 5 m less than its length, and its area is 20 more units than its perimeter. What are the dimensions of this rectangle?<\/li>\r\n \t
            6. Find three consecutive odd integers such that the product of the first and the third is 35 more than ten times the second integer.<\/li>\r\n \t
            7. Wendy paddles downstream in a canoe for 3 hours to reach a store for camp supplies. After getting what she needs, she paddles back upstream for 4 hours before she needs to take a break. If she still has 9 km to go and she can paddle at 5 km\/h on still water, what speed is the river flowing at?<\/li>\r\n<\/ol>\r\nMidterm 3: Version E Answer Key<\/a>","rendered":"

              For problems 1\u20134, perform the indicated operations and simplify.<\/p>\n

                \n
              1. \"\dfrac{12m^3}{5n^2}\div \dfrac{36m^6}{15n^3}\cdot \dfrac{8m^4}{6n^2}\"<\/li>\n
              2. \"\dfrac{x^2+2x}{x^2+9x+14}\div \dfrac{2x^3}{2x+14}\"<\/li>\n
              3. \"\dfrac{x-3}{7}-\dfrac{x-15}{28}=\dfrac{3}{4}\"<\/li>\n
              4. \"\dfrac{\dfrac{x^2}{y^2}-36}{\dfrac{x+6y}{y^3}}\"<\/li>\n<\/ol>\n

                Reduce the expressions in questions 5\u20137.<\/p>\n

                  \n
                1. \"\sqrt{x^7y^5}+2xy\sqrt{36xy^5}-\sqrt{xy^3}\"<\/li>\n
                2. \"\dfrac{\sqrt{7}}{3-\sqrt{7}}\"<\/li>\n
                3. \"\left(\dfrac{x^0y^4}{z^{-12}}\right)^{\frac{1}{4}}\"<\/li>\n<\/ol>\n

                  Find the solution set.<\/p>\n

                    \n
                  1. \"\sqrt{4x-5}=\sqrt{2x+3}\"<\/li>\n<\/ol>\n

                    For problems 9\u201312, find the solution set by any convenient method.<\/p>\n

                      \n
                    1. \"\phantom{1}\"\n
                        \n
                      1. \"\dfrac{x^2}{3}=27\"<\/li>\n
                      2. \"27x^2=-3x\"<\/li>\n<\/ol>\n<\/li>\n
                      3. \"\phantom{1}\"\n
                          \n
                        1. \"x^2-11x-12=0\"<\/li>\n
                        2. \"x^2+13x=-12\"<\/li>\n<\/ol>\n<\/li>\n
                        3. \"\dfrac{2}{x}=\dfrac{2x}{3x+8}\"<\/li>\n
                        4. \"x^4-63x^2-64=0\"<\/li>\n
                        5. The width of a rectangle is 5 m less than its length, and its area is 20 more units than its perimeter. What are the dimensions of this rectangle?<\/li>\n
                        6. Find three consecutive odd integers such that the product of the first and the third is 35 more than ten times the second integer.<\/li>\n
                        7. Wendy paddles downstream in a canoe for 3 hours to reach a store for camp supplies. After getting what she needs, she paddles back upstream for 4 hours before she needs to take a break. If she still has 9 km to go and she can paddle at 5 km\/h on still water, what speed is the river flowing at?<\/li>\n<\/ol>\n

                          Midterm 3: Version E Answer Key<\/a><\/p>\n","protected":false},"author":14,"menu_order":4,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-3312","chapter","type-chapter","status-publish","hentry"],"part":397,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3312","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":3,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3312\/revisions"}],"predecessor-version":[{"id":3529,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3312\/revisions\/3529"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/397"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3312\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=3312"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapter-type?post=3312"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=3312"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=3312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}