{"id":3306,"date":"2019-11-19T14:56:49","date_gmt":"2019-11-19T19:56:49","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=3306"},"modified":"2019-11-22T18:25:59","modified_gmt":"2019-11-22T23:25:59","slug":"midterm-3-version-b","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-3-version-b\/","title":{"raw":"Midterm 3: Version B","rendered":"Midterm 3: Version B"},"content":{"raw":"[latexpage]\r\n\r\nFor problems 1\u20134, perform the indicated operations and simplify.\r\n
    \r\n \t
  1. \\(\\dfrac{5m^3}{4n^2}\\div \\dfrac{3m^3}{13n^3} \\cdot \\dfrac{12m^4}{26n^2}\\)<\/li>\r\n \t
  2. \\(\\dfrac{3x^2+9x}{3x+9}\\div \\dfrac{x^2+3x-18}{6x^2+18x}\\)<\/li>\r\n \t
  3. \\(\\dfrac{5x}{x+3}-\\dfrac{5x}{x-3}+\\dfrac{90}{x^2-9}\\)<\/li>\r\n \t
  4. \\(\\dfrac{\\dfrac{9a^2}{b^2}-25}{\\dfrac{3a}{b}+5}\\)<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. \\(\\sqrt{72d^3}+4\\sqrt{18d^3}-2\\sqrt{49d^4}\\)<\/li>\r\n \t
    2. \\(\\dfrac{\\sqrt{a^6b^3}}{\\sqrt{5a}}\\)<\/li>\r\n \t
    3. \\(\\dfrac{\\sqrt{5}}{3+\\sqrt{5}}\\)<\/li>\r\n<\/ol>\r\nSolve for \\(x\\).\r\n
        \r\n \t
      1. \\(\\sqrt{4x+12}=x\\)<\/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=98\\)<\/li>\r\n \t
          2. \\(4x^2=12x\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          3. \\(\\phantom{1}\\)\r\n
              \r\n \t
            1. \\(x^2-x-20=0\\)<\/li>\r\n \t
            2. \\(x^2=2x+35\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. \\(\\dfrac{x-3}{x+2}+\\dfrac{6}{x+3}=1\\)<\/li>\r\n \t
            4. \\(x^4-5x^2+4=0\\)<\/li>\r\n \t
            5. The length of a rectangle is 3 m longer than its width. If it has a perimeter that is 46 m long, then find the length and width of this rectangle.<\/li>\r\n \t
            6. Find three consecutive even integers such that the product of the first two is 16 more than the third.<\/li>\r\n \t
            7. A boat cruises upriver for 4 hours and returns to its starting point in 2 hours. If the speed of the river is 5 km\/h, find the speed of this boat in still water.<\/li>\r\n<\/ol>\r\nMidterm 3: Version B Answer Key<\/a>\r\n

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

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

                \n
              1. \"\dfrac{5m^3}{4n^2}\div \dfrac{3m^3}{13n^3} \cdot \dfrac{12m^4}{26n^2}\"<\/li>\n
              2. \"\dfrac{3x^2+9x}{3x+9}\div \dfrac{x^2+3x-18}{6x^2+18x}\"<\/li>\n
              3. \"\dfrac{5x}{x+3}-\dfrac{5x}{x-3}+\dfrac{90}{x^2-9}\"<\/li>\n
              4. \"\dfrac{\dfrac{9a^2}{b^2}-25}{\dfrac{3a}{b}+5}\"<\/li>\n<\/ol>\n

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

                  \n
                1. \"\sqrt{72d^3}+4\sqrt{18d^3}-2\sqrt{49d^4}\"<\/li>\n
                2. \"\dfrac{\sqrt{a^6b^3}}{\sqrt{5a}}\"<\/li>\n
                3. \"\dfrac{\sqrt{5}}{3+\sqrt{5}}\"<\/li>\n<\/ol>\n

                  Solve for \"x\".<\/p>\n

                    \n
                  1. \"\sqrt{4x+12}=x\"<\/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=98\"<\/li>\n
                      2. \"4x^2=12x\"<\/li>\n<\/ol>\n<\/li>\n
                      3. \"\phantom{1}\"\n
                          \n
                        1. \"x^2-x-20=0\"<\/li>\n
                        2. \"x^2=2x+35\"<\/li>\n<\/ol>\n<\/li>\n
                        3. \"\dfrac{x-3}{x+2}+\dfrac{6}{x+3}=1\"<\/li>\n
                        4. \"x^4-5x^2+4=0\"<\/li>\n
                        5. The length of a rectangle is 3 m longer than its width. If it has a perimeter that is 46 m long, then find the length and width of this rectangle.<\/li>\n
                        6. Find three consecutive even integers such that the product of the first two is 16 more than the third.<\/li>\n
                        7. A boat cruises upriver for 4 hours and returns to its starting point in 2 hours. If the speed of the river is 5 km\/h, find the speed of this boat in still water.<\/li>\n<\/ol>\n

                          Midterm 3: Version B Answer Key<\/a><\/p>\n

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