{"id":3301,"date":"2019-11-19T14:51:34","date_gmt":"2019-11-19T19:51:34","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=3301"},"modified":"2019-11-22T18:25:23","modified_gmt":"2019-11-22T23:25:23","slug":"midterm-3-version-a","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-3-version-a\/","title":{"raw":"Midterm 3: Version A","rendered":"Midterm 3: Version A"},"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{12n}{17m^3} \\cdot \\dfrac{3m^4}{34n^2}\\)<\/li>\r\n \t
  2. \\(\\dfrac{8x-8y}{x^3+y^3}\\div \\dfrac{x^2-y^2}{x^2-xy+y^2}\\)<\/li>\r\n \t
  3. \\(\\dfrac{5}{6}-2-\\dfrac{5}{n-3}\\)<\/li>\r\n \t
  4. \\(\\dfrac{\\dfrac{x^2}{y^2}-4}{\\dfrac{x+2y}{y^3}}\\)<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. \\(3\\sqrt{25}+2\\sqrt{72}-\\sqrt{16}\\)<\/li>\r\n \t
    2. \\(\\dfrac{\\sqrt{m^7n^3}}{\\sqrt{2n}}\\)<\/li>\r\n \t
    3. \\(\\dfrac{2-x}{1-\\sqrt{3}}\\)<\/li>\r\n<\/ol>\r\nSolve for \\(x\\).\r\n
        \r\n \t
      1. \\(\\sqrt{7x+8}=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. \\(4x^2=64\\)<\/li>\r\n \t
          2. \\(3x^2=12x\\)<\/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=-9\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. \\(\\dfrac{x+4}{-4}=\\dfrac{8}{x}\\)<\/li>\r\n \t
            4. \\(x^4-13x^2+36=0\\)<\/li>\r\n \t
            5. The base of a right triangle is 10 m longer than its height. If the area of this triangle is 300 m2<\/sup>, what are its base and height measurements?<\/li>\r\n \t
            6. Find three consecutive odd integers such that the product of the first and the third is 38 more than the second.<\/li>\r\n \t
            7. Two airplanes take off from the same airfield, with the first plane leaving at 6 a.m. and the second at 7:30 a.m. The second airplane, travelling at 150 km\/h faster than the first, catches up to the first plane by 10:30 a.m. What is the speed of each airplane?<\/li>\r\n<\/ol>\r\nMidterm 3: Version A 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{12n}{17m^3} \cdot \dfrac{3m^4}{34n^2}\"<\/li>\n
              2. \"\dfrac{8x-8y}{x^3+y^3}\div \dfrac{x^2-y^2}{x^2-xy+y^2}\"<\/li>\n
              3. \"\dfrac{5}{6}-2-\dfrac{5}{n-3}\"<\/li>\n
              4. \"\dfrac{\dfrac{x^2}{y^2}-4}{\dfrac{x+2y}{y^3}}\"<\/li>\n<\/ol>\n

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

                  \n
                1. \"3\sqrt{25}+2\sqrt{72}-\sqrt{16}\"<\/li>\n
                2. \"\dfrac{\sqrt{m^7n^3}}{\sqrt{2n}}\"<\/li>\n
                3. \"\dfrac{2-x}{1-\sqrt{3}}\"<\/li>\n<\/ol>\n

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

                    \n
                  1. \"\sqrt{7x+8}=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. \"4x^2=64\"<\/li>\n
                      2. \"3x^2=12x\"<\/li>\n<\/ol>\n<\/li>\n
                      3. \"\phantom{1}\"\n
                          \n
                        1. \"x^2-6x+5=0\"<\/li>\n
                        2. \"x^2+10x=-9\"<\/li>\n<\/ol>\n<\/li>\n
                        3. \"\dfrac{x+4}{-4}=\dfrac{8}{x}\"<\/li>\n
                        4. \"x^4-13x^2+36=0\"<\/li>\n
                        5. The base of a right triangle is 10 m longer than its height. If the area of this triangle is 300 m2<\/sup>, what are its base and height measurements?<\/li>\n
                        6. Find three consecutive odd integers such that the product of the first and the third is 38 more than the second.<\/li>\n
                        7. Two airplanes take off from the same airfield, with the first plane leaving at 6 a.m. and the second at 7:30 a.m. The second airplane, travelling at 150 km\/h faster than the first, catches up to the first plane by 10:30 a.m. What is the speed of each airplane?<\/li>\n<\/ol>\n

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

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