{"id":3308,"date":"2019-11-19T14:57:14","date_gmt":"2019-11-19T19:57:14","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=3308"},"modified":"2019-11-22T18:26:32","modified_gmt":"2019-11-22T23:26:32","slug":"midterm-3-version-c","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-3-version-c\/","title":{"raw":"Midterm 3: Version C","rendered":"Midterm 3: Version C"},"content":{"raw":"[latexpage]\r\n\r\nFor problems 1\u20134, perform the indicated operations and simplify.\r\n
    \r\n \t
  1. \\(\\dfrac{15m^3}{4n^2}\\div \\dfrac{30m^3}{17n^3}\\cdot \\dfrac{3m^4}{34n^2}\\)<\/li>\r\n \t
  2. \\(\\dfrac{5v^2-25v}{5v+25}\\div \\dfrac{v^2-11v+30}{10v}\\)<\/li>\r\n \t
  3. \\(\\dfrac{8}{2x}=\\dfrac{2}{x}+1\\)<\/li>\r\n \t
  4. \\(\\dfrac{\\dfrac{x^2}{y^2}-16}{\\dfrac{x+4y}{y^3}}\\)<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. \\(\\sqrt{25y^2}+2\\sqrt{81y^2}+\\sqrt{36y^3}\\)<\/li>\r\n \t
    2. \\(\\dfrac{28}{7-3\\sqrt{5}}\\)<\/li>\r\n \t
    3. \\(\\left(\\dfrac{27a^{-\\frac{1}{8}}}{a^{\\frac{1}{4}}}\\right)^{\\frac{1}{3}}\\)<\/li>\r\n<\/ol>\r\nFind the solution set.\r\n
        \r\n \t
      1. \\(\\sqrt{3x-2}=\\sqrt{5x+4}\\)<\/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. \\(2x^2=72\\)<\/li>\r\n \t
          2. \\(2x^2=8x\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          3. \\(\\phantom{1}\\)\r\n
              \r\n \t
            1. \\(x^2+6x+5=0\\)<\/li>\r\n \t
            2. \\(x^2=10x-4\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. \\(\\dfrac{8}{4x}=\\dfrac{2}{x}+3\\)<\/li>\r\n \t
            4. \\(x^4-17x^2+16=0\\)<\/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>\r\n

              <\/h1>","rendered":"

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

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

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

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

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

                    \n
                  1. \"\sqrt{3x-2}=\sqrt{5x+4}\"<\/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. \"2x^2=72\"<\/li>\n
                      2. \"2x^2=8x\"<\/li>\n<\/ol>\n<\/li>\n
                      3. \"\phantom{1}\"\n
                          \n
                        1. \"x^2+6x+5=0\"<\/li>\n
                        2. \"x^2=10x-4\"<\/li>\n<\/ol>\n<\/li>\n
                        3. \"\dfrac{8}{4x}=\dfrac{2}{x}+3\"<\/li>\n
                        4. \"x^4-17x^2+16=0\"<\/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

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