{"id":1485,"date":"2021-12-02T19:38:14","date_gmt":"2021-12-03T00:38:14","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-c\/"},"modified":"2023-08-31T19:13:51","modified_gmt":"2023-08-31T23:13:51","slug":"midterm-3-version-c","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-c\/","title":{"raw":"Midterm 3: Version C","rendered":"Midterm 3: Version C"},"content":{"raw":"For problems 1\u20134, perform the indicated operations and simplify.\r\n
    \r\n \t
  1. [latex]\\dfrac{15m^3}{4n^2}\\div \\dfrac{30m^3}{17n^3}\\cdot \\dfrac{3m^4}{34n^2}[\/latex]<\/li>\r\n \t
  2. [latex]\\dfrac{5v^2-25v}{5v+25}\\div \\dfrac{v^2-11v+30}{10v}[\/latex]<\/li>\r\n \t
  3. [latex]\\dfrac{8}{2x}=\\dfrac{2}{x}+1[\/latex]<\/li>\r\n \t
  4. [latex]\\dfrac{\\dfrac{x^2}{y^2}-16}{\\dfrac{x+4y}{y^3}}[\/latex]<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. [latex]\\sqrt{25y^2}+2\\sqrt{81y^2}+\\sqrt{36y^3}[\/latex]<\/li>\r\n \t
    2. [latex]\\dfrac{28}{7-3\\sqrt{5}}[\/latex]<\/li>\r\n \t
    3. [latex]\\left(\\dfrac{27a^{-\\frac{1}{8}}}{a^{\\frac{1}{4}}}\\right)^{\\frac{1}{3}}[\/latex]<\/li>\r\n<\/ol>\r\nFind the solution set.\r\n
        \r\n \t
      1. [latex]\\sqrt{3x-2}=\\sqrt{5x+4}[\/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]2x^2=72[\/latex]<\/li>\r\n \t
          2. [latex]2x^2=8x[\/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+6x+5=0[\/latex]<\/li>\r\n \t
            2. [latex]x^2=10x-4[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. [latex]\\dfrac{8}{4x}=\\dfrac{2}{x}+3[\/latex]<\/li>\r\n \t
            4. [latex]x^4-17x^2+16=0[\/latex]<\/li>\r\n \t
            5. The width of a rectangle is 6 m less than its length, and its area is 12 units more than its perimeter. What are the dimensions of the rectangle?<\/li>\r\n \t
            6. Find three consecutive odd integers such that the product of the first and the third is 31 more than the second.<\/li>\r\n \t
            7. It took a tugboat 5 hours to travel against an ocean current to get to an isolated outpost 60 km from its home port and 3 hours to return back to port going with the ocean current. What is the speed of the ocean current and what speed can the tug travel on still water?<\/li>\r\n<\/ol>\r\nMidterm 3: Version C Answer Key<\/a>","rendered":"

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

                \n
              1. [latex]\\dfrac{15m^3}{4n^2}\\div \\dfrac{30m^3}{17n^3}\\cdot \\dfrac{3m^4}{34n^2}[\/latex]<\/li>\n
              2. [latex]\\dfrac{5v^2-25v}{5v+25}\\div \\dfrac{v^2-11v+30}{10v}[\/latex]<\/li>\n
              3. [latex]\\dfrac{8}{2x}=\\dfrac{2}{x}+1[\/latex]<\/li>\n
              4. [latex]\\dfrac{\\dfrac{x^2}{y^2}-16}{\\dfrac{x+4y}{y^3}}[\/latex]<\/li>\n<\/ol>\n

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

                  \n
                1. [latex]\\sqrt{25y^2}+2\\sqrt{81y^2}+\\sqrt{36y^3}[\/latex]<\/li>\n
                2. [latex]\\dfrac{28}{7-3\\sqrt{5}}[\/latex]<\/li>\n
                3. [latex]\\left(\\dfrac{27a^{-\\frac{1}{8}}}{a^{\\frac{1}{4}}}\\right)^{\\frac{1}{3}}[\/latex]<\/li>\n<\/ol>\n

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

                    \n
                  1. [latex]\\sqrt{3x-2}=\\sqrt{5x+4}[\/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]2x^2=72[\/latex]<\/li>\n
                      2. [latex]2x^2=8x[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                      3. [latex]\\phantom{1}[\/latex]\n
                          \n
                        1. [latex]x^2+6x+5=0[\/latex]<\/li>\n
                        2. [latex]x^2=10x-4[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                        3. [latex]\\dfrac{8}{4x}=\\dfrac{2}{x}+3[\/latex]<\/li>\n
                        4. [latex]x^4-17x^2+16=0[\/latex]<\/li>\n
                        5. The width of a rectangle is 6 m less than its length, and its area is 12 units more than its perimeter. What are the dimensions of the rectangle?<\/li>\n
                        6. Find three consecutive odd integers such that the product of the first and the third is 31 more than the second.<\/li>\n
                        7. It took a tugboat 5 hours to travel against an ocean current to get to an isolated outpost 60 km from its home port and 3 hours to return back to port going with the ocean current. What is the speed of the ocean current and what speed can the tug travel on still water?<\/li>\n<\/ol>\n

                          Midterm 3: Version C Answer Key<\/a><\/p>\n","protected":false},"author":90,"menu_order":3,"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-1485","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\/1485","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\/1485\/revisions"}],"predecessor-version":[{"id":2167,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1485\/revisions\/2167"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1479"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1485\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1485"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1485"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1485"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}