{"id":3236,"date":"2019-11-19T14:21:59","date_gmt":"2019-11-19T19:21:59","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=3236"},"modified":"2019-11-22T18:04:51","modified_gmt":"2019-11-22T23:04:51","slug":"midterm-two-version-c","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-two-version-c\/","title":{"raw":"Midterm 2: Version C","rendered":"Midterm 2: Version C"},"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\n2x&-&y&-&2&=&0 \\\\\r\n2x&+&3y&+&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&-&4y&=&13 \\\\\r\nx&+&y&=&2\r\n\\end{array}\\right.\\)<\/li>\r\n \t
    2. \\(\\left\\{\r\n\\begin{array}{rrrrr}\r\n4x&-&3y&=&6 \\\\\r\n3y&+&4x&=&2\r\n\\end{array}\\right.\\)<\/li>\r\n \t
    3. \\(\\left\\{\r\n\\begin{array}{rrrrrrr}\r\nx&+&y&+&z&=&6 \\\\\r\n&&2y&+&4z&=&10 \\\\\r\n-2x&&&+&z&=&-3 \\\\\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 + 6x^3\\)<\/li>\r\n \t
      2. \\(6a^2b(a - 3)(a + 3)\\)<\/li>\r\n \t
      3. \\((x^2 + 3x + 5)^2\\)<\/li>\r\n<\/ol>\r\nDivide using long division.\r\n
          \r\n \t
        1. \\((2x^4 + x^3 + 4x^2 - 4x - 5) \\div (2x + 1)\\)<\/li>\r\n<\/ol>\r\nFor problems 9\u201312, factor each expression completely.\r\n
            \r\n \t
          1. \\(x^2 + 17x - 18\\)<\/li>\r\n \t
          2. \\(2a^2 - 4ab - 30b^2\\)<\/li>\r\n \t
          3. \\(8x^3 - y^3\\)<\/li>\r\n \t
          4. \\(16y^4 - x^4\\)<\/li>\r\n<\/ol>\r\nSolve the following word problems.\r\n
              \r\n \t
            1. The sum of a brother's and sister\u2019s ages is 30. Ten years ago, the brother was four times his sister\u2019s age. How old are they now?<\/li>\r\n \t
            2. Kyra gave her brother Mark a logic question to solve: If she has 18 coins in her pocket worth \\(\\$1.20\\), and if the coins are only dimes and nickels, how many of each type of coin does she have?<\/li>\r\n \t
            3. Tanya needs to make 10 litres of a 25% alcohol solution for the University Green College Founders Social by mixing a 30% alcohol solution with a 5% alcohol solution. How many litres each of the 30% and the 5% alcohol solutions should be used?<\/li>\r\n<\/ol>\r\nMidterm 2: Version C 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 + 6x^3\"<\/li>\n
                  2. \"6a^2b(a - 3)(a + 3)\"<\/li>\n
                  3. \"(x^2 + 3x + 5)^2\"<\/li>\n<\/ol>\n

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

                      \n
                    1. \"(2x^4 + x^3 + 4x^2 - 4x - 5) \div (2x + 1)\"<\/li>\n<\/ol>\n

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

                        \n
                      1. \"x^2 + 17x - 18\"<\/li>\n
                      2. \"2a^2 - 4ab - 30b^2\"<\/li>\n
                      3. \"8x^3 - y^3\"<\/li>\n
                      4. \"16y^4 - x^4\"<\/li>\n<\/ol>\n

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

                          \n
                        1. The sum of a brother’s and sister\u2019s ages is 30. Ten years ago, the brother was four times his sister\u2019s age. How old are they now?<\/li>\n
                        2. Kyra gave her brother Mark a logic question to solve: If she has 18 coins in her pocket worth \"\$1.20\", and if the coins are only dimes and nickels, how many of each type of coin does she have?<\/li>\n
                        3. Tanya needs to make 10 litres of a 25% alcohol solution for the University Green College Founders Social by mixing a 30% alcohol solution with a 5% alcohol solution. How many litres each of the 30% and the 5% alcohol solutions should be used?<\/li>\n<\/ol>\n

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

                          <\/h1>\n","protected":false},"author":14,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-3236","chapter","type-chapter","status-publish","hentry"],"part":383,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3236","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/14"}],"version-history":[{"count":4,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3236\/revisions"}],"predecessor-version":[{"id":3492,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3236\/revisions\/3492"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/383"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/3236\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=3236"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapter-type?post=3236"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=3236"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=3236"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}