{"id":3234,"date":"2019-11-19T14:21:30","date_gmt":"2019-11-19T19:21:30","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=3234"},"modified":"2019-11-22T18:03:02","modified_gmt":"2019-11-22T23:03:02","slug":"midterm-two-version-b-2","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-two-version-b-2\/","title":{"raw":"Midterm 2: Version B","rendered":"Midterm 2: Version B"},"content":{"raw":"[latexpage]\r\n\r\nFind the solution set of the system graphically.\r\n
    \r\n \t
  1. \\(\\left\\{\r\n\\begin{array}{rrrrr}\r\nx&+&y&=&5 \\\\\r\n2x&-&y&=&1\r\n\\end{array}\\right.\\)<\/li>\r\n<\/ol>\r\nFor problems 2\u20134, find the solution set of each system by any convenient method.\r\n
      \r\n \t
    1. \\(\\left\\{\r\n\\begin{array}{rrrrrrr}\r\n4x&+&3y&=&8&& \\\\\r\n&&x&=&4y&+&2 \\\\\r\n\\end{array}\\right.\\)<\/li>\r\n \t
    2. \\(\\left\\{\r\n\\begin{array}{rrrrr}\r\n5x&-&3y&=&2 \\\\\r\n3x&+&y&=&4\r\n\\end{array}\\right.\\)<\/li>\r\n \t
    3. \\(\\left\\{\r\n\\begin{array}{rrrrrrr}\r\nx&+&y&+&z&=&3 \\\\\r\nx&&&-&2z&=&-7 \\\\\r\n&&-2y&+&4z&=&20\r\n\\end{array}\\right.\\)<\/li>\r\n<\/ol>\r\nReduce the following expressions in questions 5\u20138.\r\n
        \r\n \t
      1. \\(5 - 3\\left[4x - 2(6x - 5)^0 - (7 - 2x)\\right]\\)<\/li>\r\n \t
      2. \\(3a^2(a + 3)^2\\)<\/li>\r\n \t
      3. \\((x^2 + x\u00a0 + 5)(x^2 + x\u00a0 - 5)\\)<\/li>\r\n \t
      4. \\(\\left(\\dfrac{x^{4n}x^{-6}}{x^{3n}}\\right)^{-1}\\)<\/li>\r\n<\/ol>\r\nFor problems 9\u201312, factor each expression completely.\r\n
          \r\n \t
        1. \\(14axy - 6az - 7xy + 3z\\)<\/li>\r\n \t
        2. \\(a^2 + 2ab - 15b^2\\)<\/li>\r\n \t
        3. \\(2x^3 + 8x^2 - x - 4\\)<\/li>\r\n \t
        4. \\(27x^3 + 8y^3\\)<\/li>\r\n<\/ol>\r\nSolve the following word problems.\r\n
            \r\n \t
          1. The sum of the ages of a father and his daughter is 38. Six years from now, the father will be four times as old as his daughter. Find the present age of each.<\/li>\r\n \t
          2. A 90 kg mixture of two different types of nuts costs \\(\\$370\\). If type A costs \\(\\$3\\) per kg and type B costs \\(\\$5\\) per kg, how many kg of each type were used?<\/li>\r\n \t
          3. A student lab technician is combining a 10% sulfuric acid solution to 40 ml solution at 25% to dilute it to 15%.\u00a0 How much of the 10% solution does the student need to add?<\/li>\r\n<\/ol>\r\nMidterm 2: Version B Answer Key<\/a>\r\n

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

            Find the solution set of the system graphically.<\/p>\n

              \n
            1. \"\left\{<\/li>\n<\/ol>\n

              For problems 2\u20134, find the solution set of each system by any convenient method.<\/p>\n

                \n
              1. \"\left\{<\/li>\n
              2. \"\left\{<\/li>\n
              3. \"\left\{<\/li>\n<\/ol>\n

                Reduce the following expressions in questions 5\u20138.<\/p>\n

                  \n
                1. \"5 - 3\left[4x - 2(6x - 5)^0 - (7 - 2x)\right]\"<\/li>\n
                2. \"3a^2(a + 3)^2\"<\/li>\n
                3. \"(x^2 + x + 5)(x^2 + x - 5)\"<\/li>\n
                4. \"\left(\dfrac{x^{4n}x^{-6}}{x^{3n}}\right)^{-1}\"<\/li>\n<\/ol>\n

                  For problems 9\u201312, factor each expression completely.<\/p>\n

                    \n
                  1. \"14axy - 6az - 7xy + 3z\"<\/li>\n
                  2. \"a^2 + 2ab - 15b^2\"<\/li>\n
                  3. \"2x^3 + 8x^2 - x - 4\"<\/li>\n
                  4. \"27x^3 + 8y^3\"<\/li>\n<\/ol>\n

                    Solve the following word problems.<\/p>\n

                      \n
                    1. The sum of the ages of a father and his daughter is 38. Six years from now, the father will be four times as old as his daughter. Find the present age of each.<\/li>\n
                    2. A 90 kg mixture of two different types of nuts costs \"\$370\". If type A costs \"\$3\" per kg and type B costs \"\$5\" per kg, how many kg of each type were used?<\/li>\n
                    3. A student lab technician is combining a 10% sulfuric acid solution to 40 ml solution at 25% to dilute it to 15%.\u00a0 How much of the 10% solution does the student need to add?<\/li>\n<\/ol>\n

                      Midterm 2: Version B Answer Key<\/a><\/p>\n

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