{"id":73,"date":"2019-02-27T13:56:38","date_gmt":"2019-02-27T18:56:38","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=73"},"modified":"2019-11-22T18:06:01","modified_gmt":"2019-11-22T23:06:01","slug":"midterm-two-preparation","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-two-preparation\/","title":{"raw":"Midterm 2: Version E","rendered":"Midterm 2: Version E"},"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&=&-3 \\\\\r\nx&+&2y&=&3\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}{rrrrr}\r\n2x&-&5y&=&-2 \\\\\r\n3x&-&4y&=&4\r\n\\end{array}\\right.\\)<\/li>\r\n \t
    2. \\(\\left\\{\r\n\\begin{array}{rrrrr}\r\n4x&+&3y&=&-29 \\\\\r\n3x&+&2y&=&-21\r\n\\end{array}\\right.\\)<\/li>\r\n \t
    3. \\(\\left\\{\r\n\\begin{array}{rrrrrrr}\r\nx&+&y&-&3z&=&0 \\\\\r\n&&2y&-&2z&=&-12 \\\\\r\n2x&-&3y&&&=&16\r\n\\end{array}\\right.\\)<\/li>\r\n<\/ol>\r\nReduce the following expressions in questions 5\u20137.\r\n
        \r\n \t
      1. \\(5 - 4 \\left[ 2x - 2 (6x - 5)^0 - ( 7 - 2x )\\right]\\)<\/li>\r\n \t
      2. \\(3ab^4(a - 5)(a + 5)\\)<\/li>\r\n \t
      3. \\((x^2 + 3x - 6)^2\\)<\/li>\r\n<\/ol>\r\nDivide using long division.\r\n
          \r\n \t
        1. \\((3x^3 + 18 + 7x^2) \\div (x + 3)\\)<\/li>\r\n<\/ol>\r\nFor problems 9\u201312, factor each expression completely.\r\n
            \r\n \t
          1. \\(x^2 + 4x - 21\\)<\/li>\r\n \t
          2. \\(4x^3 + 4x^2 - 9x - 9\\)<\/li>\r\n \t
          3. \\(8x^3 - 27y^3\\)<\/li>\r\n \t
          4. \\(x^4 - 624x^2 - 625\\)<\/li>\r\n<\/ol>\r\nSolve the following word problems.\r\n
              \r\n \t
            1. The sum of the ages of a boy and a girl is 20 years. Four years ago, the girl was two times the age of the boy. Find the present age of each child.<\/li>\r\n \t
            2. How many ml of a 16% sulfuric acid solution must be added to 20 ml of a 6% solution to create a 12% solution?<\/li>\r\n \t
            3. A 60 kg blend of cereals and raisins is sold for \\(\\$213.\\) If the cereal sells for \\(\\$3.40\\) per kg and the raisins sells for \\(\\$3.90\\) per kg, how many kg of each grade were used?<\/li>\r\n<\/ol>\r\nMidterm 2: Version E Answer Key<\/a>","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\u20137.<\/p>\n

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

                    Divide using long division.<\/p>\n

                      \n
                    1. \"(3x^3 + 18 + 7x^2) \div (x + 3)\"<\/li>\n<\/ol>\n

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

                        \n
                      1. \"x^2 + 4x - 21\"<\/li>\n
                      2. \"4x^3 + 4x^2 - 9x - 9\"<\/li>\n
                      3. \"8x^3 - 27y^3\"<\/li>\n
                      4. \"x^4 - 624x^2 - 625\"<\/li>\n<\/ol>\n

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

                          \n
                        1. The sum of the ages of a boy and a girl is 20 years. Four years ago, the girl was two times the age of the boy. Find the present age of each child.<\/li>\n
                        2. How many ml of a 16% sulfuric acid solution must be added to 20 ml of a 6% solution to create a 12% solution?<\/li>\n
                        3. A 60 kg blend of cereals and raisins is sold for \"\$213.\" If the cereal sells for \"\$3.40\" per kg and the raisins sells for \"\$3.90\" per kg, how many kg of each grade were used?<\/li>\n<\/ol>\n

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