{"id":3238,"date":"2019-11-19T14:22:23","date_gmt":"2019-11-19T19:22:23","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=3238"},"modified":"2019-11-22T18:05:28","modified_gmt":"2019-11-22T23:05:28","slug":"midterm-two-version-d","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-two-version-d\/","title":{"raw":"Midterm 2: Version D","rendered":"Midterm 2: Version D"},"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}{rrrrrrr}\r\nx&-&2y&+&6&=&0 \\\\\r\nx&+&y&-&6&=&0\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\n3x&-&2y&=&0 \\\\\r\n2x&+&5y&=&0\r\n\\end{array}\\right.\\)<\/li>\r\n \t
    2. \\(\\left\\{\r\n\\begin{array}{rrrrr}\r\n2x&-&3y&=&8 \\\\\r\n3y&-&2x&=&4\r\n\\end{array}\\right.\\)<\/li>\r\n \t
    3. \\(\\left\\{\r\n\\begin{array}{rrrrrrr}\r\n2x&+&y&-&3z&=&-7 \\\\\r\n&&-2y&+&3z&=&9 \\\\\r\n3x&&&+&z&=&6\r\n\\end{array}\\right.\\)<\/li>\r\n<\/ol>\r\nReduce the following expressions in questions 5\u20137.\r\n
        \r\n \t
      1. \\(36 - \\{-2x - \\left[6x - 3(5 - 2x)\\right]\\}^0 + 3x^2\\)<\/li>\r\n \t
      2. \\(3a^2(a - 2)^2\\)<\/li>\r\n \t
      3. \\((x^2 + 2x - 4)^2\\)<\/li>\r\n<\/ol>\r\nDivide using long division.\r\n
          \r\n \t
        1. \\((x^4 +\u00a0 4x^3 +\u00a0 4x^2 + 10x + 20) \\div (x + 2)\\)<\/li>\r\n<\/ol>\r\nFor problems 9\u201312, factor each expression completely.\r\n
            \r\n \t
          1. \\(x^2 + 3x - 18\\)<\/li>\r\n \t
          2. \\(3x^2 + 25xy + 8y^2\\)<\/li>\r\n \t
          3. \\(125x^3 -\u00a0 y^3\\)<\/li>\r\n \t
          4. \\(81y^4 - 16x^4\\)<\/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 18 years. Four years ago, the girl was four times the age of the boy. Find the present age of each child.<\/li>\r\n \t
            2. A purse contains \\(\\$3.50\\) made up of dimes and quarters. If there are 20 coins in all, how many dimes and how many quarters were there?<\/li>\r\n \t
            3. A 60 kg blend of two different grades of tea is sold for \\(\\$218.50.\\) If grade A sells for \\(\\$3.80\\) per kg and grade B sells for \\(\\$3.55\\) per kg, how many kg of each grade were used?<\/li>\r\n<\/ol>\r\nMidterm 2: Version D 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\u20137.<\/p>\n

                    \n
                  1. \"36 - \{-2x - \left[6x - 3(5 - 2x)\right]\}^0 + 3x^2\"<\/li>\n
                  2. \"3a^2(a - 2)^2\"<\/li>\n
                  3. \"(x^2 + 2x - 4)^2\"<\/li>\n<\/ol>\n

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

                      \n
                    1. \"(x^4 + 4x^3 + 4x^2 + 10x + 20) \div (x + 2)\"<\/li>\n<\/ol>\n

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

                        \n
                      1. \"x^2 + 3x - 18\"<\/li>\n
                      2. \"3x^2 + 25xy + 8y^2\"<\/li>\n
                      3. \"125x^3 - y^3\"<\/li>\n
                      4. \"81y^4 - 16x^4\"<\/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 18 years. Four years ago, the girl was four times the age of the boy. Find the present age of each child.<\/li>\n
                        2. A purse contains \"\$3.50\" made up of dimes and quarters. If there are 20 coins in all, how many dimes and how many quarters were there?<\/li>\n
                        3. A 60 kg blend of two different grades of tea is sold for \"\$218.50.\" If grade A sells for \"\$3.80\" per kg and grade B sells for \"\$3.55\" per kg, how many kg of each grade were used?<\/li>\n<\/ol>\n

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

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