{"id":3310,"date":"2019-11-19T14:57:37","date_gmt":"2019-11-19T19:57:37","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=3310"},"modified":"2019-11-22T18:27:04","modified_gmt":"2019-11-22T23:27:04","slug":"midterm-3-version-d","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-3-version-d\/","title":{"raw":"Midterm 3: Version D","rendered":"Midterm 3: Version D"},"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{45m^6}{13n^3}\\cdot \\dfrac{3m^4}{39n^2}\\)<\/li>\r\n \t
  2. \\(\\dfrac{3x^2-9x}{3x+9}\\div \\dfrac{x^2+2x-15}{12x}\\)<\/li>\r\n \t
  3. \\(\\dfrac{2}{x+4}-\\dfrac{6}{x-3}=3\\)<\/li>\r\n \t
  4. \\(\\dfrac{\\dfrac{x^2}{y^2}-9}{\\dfrac{x+3y}{y^3}}\\)<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. \\(\\sqrt{25y^4}+2\\sqrt{49y^2}+\\sqrt{25y^3}\\)<\/li>\r\n \t
    2. \\(\\dfrac{15}{3-\\sqrt{5}}\\)<\/li>\r\n \t
    3. \\(\\left(\\dfrac{a^0b^4}{c^8d^{-12}}\\right)^{\\frac{1}{4}}\\)<\/li>\r\n<\/ol>\r\nFind the solution set.\r\n
        \r\n \t
      1. \\(\\sqrt{2x+9}-3=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. \\(8x^2=32x\\)<\/li>\r\n \t
          2. \\(3x^2=48\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          3. \\(\\phantom{1}\\)\r\n
              \r\n \t
            1. \\(x^2=5x-4\\)<\/li>\r\n \t
            2. \\(x^2-4x+3=0\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. \\(\\dfrac{2}{x}=\\dfrac{x}{x+4}\\)<\/li>\r\n \t
            4. \\(x^4-48x^2-49=0\\)<\/li>\r\n \t
            5. The base of a triangle is 2 cm less than its height. If the area of this triangle is 40 cm2<\/sup>, find the lengths of its height and base.<\/li>\r\n \t
            6. Find three consecutive odd integers such that the product of the first and the third is 41 more than four times the second integer.<\/li>\r\n \t
            7. Karl paddles downstream in a canoe for 2 hours to reach a store for camp supplies. After getting what he needs, he paddles back upriver for 3 hours before he needs to take a break. If he still has 4 km to go and he can paddle at 6 km\/h on still water, what speed is the river flowing at?<\/li>\r\n<\/ol>\r\nMidterm 3: Version D 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{45m^6}{13n^3}\cdot \dfrac{3m^4}{39n^2}\"<\/li>\n
              2. \"\dfrac{3x^2-9x}{3x+9}\div \dfrac{x^2+2x-15}{12x}\"<\/li>\n
              3. \"\dfrac{2}{x+4}-\dfrac{6}{x-3}=3\"<\/li>\n
              4. \"\dfrac{\dfrac{x^2}{y^2}-9}{\dfrac{x+3y}{y^3}}\"<\/li>\n<\/ol>\n

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

                  \n
                1. \"\sqrt{25y^4}+2\sqrt{49y^2}+\sqrt{25y^3}\"<\/li>\n
                2. \"\dfrac{15}{3-\sqrt{5}}\"<\/li>\n
                3. \"\left(\dfrac{a^0b^4}{c^8d^{-12}}\right)^{\frac{1}{4}}\"<\/li>\n<\/ol>\n

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

                    \n
                  1. \"\sqrt{2x+9}-3=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. \"8x^2=32x\"<\/li>\n
                      2. \"3x^2=48\"<\/li>\n<\/ol>\n<\/li>\n
                      3. \"\phantom{1}\"\n
                          \n
                        1. \"x^2=5x-4\"<\/li>\n
                        2. \"x^2-4x+3=0\"<\/li>\n<\/ol>\n<\/li>\n
                        3. \"\dfrac{2}{x}=\dfrac{x}{x+4}\"<\/li>\n
                        4. \"x^4-48x^2-49=0\"<\/li>\n
                        5. The base of a triangle is 2 cm less than its height. If the area of this triangle is 40 cm2<\/sup>, find the lengths of its height and base.<\/li>\n
                        6. Find three consecutive odd integers such that the product of the first and the third is 41 more than four times the second integer.<\/li>\n
                        7. Karl paddles downstream in a canoe for 2 hours to reach a store for camp supplies. After getting what he needs, he paddles back upriver for 3 hours before he needs to take a break. If he still has 4 km to go and he can paddle at 6 km\/h on still water, what speed is the river flowing at?<\/li>\n<\/ol>\n

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

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