{"id":1489,"date":"2021-12-02T19:38:15","date_gmt":"2021-12-03T00:38:15","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-e\/"},"modified":"2023-08-31T19:17:52","modified_gmt":"2023-08-31T23:17:52","slug":"midterm-3-version-e","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-e\/","title":{"raw":"Midterm 3: Version E","rendered":"Midterm 3: Version E"},"content":{"raw":"For problems 1\u20134, perform the indicated operations and simplify.\r\n
    \r\n \t
  1. [latex]\\dfrac{12m^3}{5n^2}\\div \\dfrac{36m^6}{15n^3}\\cdot \\dfrac{8m^4}{6n^2}[\/latex]<\/li>\r\n \t
  2. [latex]\\dfrac{x^2+2x}{x^2+9x+14}\\div \\dfrac{2x^3}{2x+14}[\/latex]<\/li>\r\n \t
  3. [latex]\\dfrac{x-3}{7}-\\dfrac{x-15}{28}=\\dfrac{3}{4}[\/latex]<\/li>\r\n \t
  4. [latex]\\dfrac{\\dfrac{x^2}{y^2}-36}{\\dfrac{x+6y}{y^3}}[\/latex]<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. [latex]\\sqrt{x^7y^5}+2xy\\sqrt{36xy^5}-\\sqrt{xy^3}[\/latex]<\/li>\r\n \t
    2. [latex]\\dfrac{\\sqrt{7}}{3-\\sqrt{7}}[\/latex]<\/li>\r\n \t
    3. [latex]\\left(\\dfrac{x^0y^4}{z^{-12}}\\right)^{\\frac{1}{4}}[\/latex]<\/li>\r\n<\/ol>\r\nFind the solution set.\r\n
        \r\n \t
      1. [latex]\\sqrt{4x-5}=\\sqrt{2x+3}[\/latex]<\/li>\r\n<\/ol>\r\nFor problems 9\u201312, find the solution set by any convenient method.\r\n
          \r\n \t
        1. [latex]\\phantom{1}[\/latex]\r\n
            \r\n \t
          1. [latex]\\dfrac{x^2}{3}=27[\/latex]<\/li>\r\n \t
          2. [latex]27x^2=-3x[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          3. [latex]\\phantom{1}[\/latex]\r\n
              \r\n \t
            1. [latex]x^2-11x-12=0[\/latex]<\/li>\r\n \t
            2. [latex]x^2+13x=-12[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. [latex]\\dfrac{2}{x}=\\dfrac{2x}{3x+8}[\/latex]<\/li>\r\n \t
            4. [latex]x^4-63x^2-64=0[\/latex]<\/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. [latex]\\dfrac{12m^3}{5n^2}\\div \\dfrac{36m^6}{15n^3}\\cdot \\dfrac{8m^4}{6n^2}[\/latex]<\/li>\n
              2. [latex]\\dfrac{x^2+2x}{x^2+9x+14}\\div \\dfrac{2x^3}{2x+14}[\/latex]<\/li>\n
              3. [latex]\\dfrac{x-3}{7}-\\dfrac{x-15}{28}=\\dfrac{3}{4}[\/latex]<\/li>\n
              4. [latex]\\dfrac{\\dfrac{x^2}{y^2}-36}{\\dfrac{x+6y}{y^3}}[\/latex]<\/li>\n<\/ol>\n

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

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

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

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

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

                      \n
                    1. [latex]\\phantom{1}[\/latex]\n
                        \n
                      1. [latex]\\dfrac{x^2}{3}=27[\/latex]<\/li>\n
                      2. [latex]27x^2=-3x[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                      3. [latex]\\phantom{1}[\/latex]\n
                          \n
                        1. [latex]x^2-11x-12=0[\/latex]<\/li>\n
                        2. [latex]x^2+13x=-12[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                        3. [latex]\\dfrac{2}{x}=\\dfrac{2x}{3x+8}[\/latex]<\/li>\n
                        4. [latex]x^4-63x^2-64=0[\/latex]<\/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":90,"menu_order":5,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"chapter-type":[],"contributor":[],"license":[56],"class_list":["post-1489","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1479,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1489","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":2,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1489\/revisions"}],"predecessor-version":[{"id":2169,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1489\/revisions\/2169"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1479"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1489\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1489"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1489"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1489"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1489"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}