{"id":1394,"date":"2021-12-02T19:37:48","date_gmt":"2021-12-03T00:37:48","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-two-version-a\/"},"modified":"2022-11-02T10:35:09","modified_gmt":"2022-11-02T14:35:09","slug":"midterm-two-version-a","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-two-version-a\/","title":{"raw":"Midterm 2: Version A","rendered":"Midterm 2: Version A"},"content":{"raw":"Find the solution set of the system graphically.\n
    \n \t
  1. [latex]\\left\\{\n\\begin{array}{rrrrr}\nx&+&2y&=&-5 \\\\\nx&-&y&=&-2\n\\end{array}\\right.[\/latex]<\/li>\n<\/ol>\nFor problems 2\u20134, find the solution set of each system by any convenient method.\n
      \n \t
    1. [latex]\\left\\{\n\\begin{array}{rrrrr}\n4x&-&3y&=&13 \\\\\n5x&-&2y&=&4\n\\end{array}\\right.[\/latex]<\/li>\n \t
    2. [latex]\\left\\{\n\\begin{array}{rrrrr}\nx&-&2y&=&-5 \\\\\n2x&+&y&=&5\n\\end{array}\\right.[\/latex]<\/li>\n \t
    3. [latex]\\left\\{\n\\begin{array}{rrrrrrr}\nx&+&y&+&2z&=&0 \\\\\n2x&&&+&z&=&1 \\\\\n&&3y&+&4z&=&0\n\\end{array}\\right.[\/latex]<\/li>\n<\/ol>\nReduce the following expressions in questions 5\u20137.\n
        \n \t
      1. [latex]28 - \\{5x - \\left[6x - 3(5 - 2x)\\right]^0 \\} + 5x^2[\/latex]<\/li>\n \t
      2. [latex]4a^2 (a - 3)^2[\/latex]<\/li>\n \t
      3. [latex](x^2 + 2x + 3)^2[\/latex]<\/li>\n<\/ol>\nDivide using long division.\n
          \n \t
        1. [latex](2x^3 - 7x^2 + 15) \\div (x - 2)[\/latex]<\/li>\n<\/ol>\nFor problems 9\u201312, factor each expression completely.\n
            \n \t
          1. [latex]2ab + 3ac - 4b - 6c[\/latex]<\/li>\n \t
          2. [latex]a^2 - 2ab - 15b^2[\/latex]<\/li>\n \t
          3. [latex]x^3 + x^2 - 9x - 9[\/latex]<\/li>\n \t
          4. [latex]x^3 - 64y^3[\/latex]<\/li>\n<\/ol>\nSolve the following word problems.\n
              \n \t
            1. The sum of a brother's and sister\u2019s ages is 35. Ten years ago, the brother was twice his sister\u2019s age. How old are they now?<\/li>\n \t
            2. Kyra gave her brother Mark a logic question to solve: If she has 20 coins in her pocket worth [latex]\\$2.75[\/latex], and if the coins are only dimes and quarters, how many of each kind of coin does she have?<\/li>\n \t
            3. A 50 kg blend of two different grades of tea is sold for [latex]\\$191.25.[\/latex] If grade A sells for [latex]\\$3.95[\/latex] per kg and grade B sells for [latex]\\$3.70[\/latex] per kg, how many kg of each grade were used?<\/li>\n<\/ol>\nMidterm 2: Version A Answer Key<\/a>","rendered":"

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

                \n
              1. [latex]\\left\\{ \\begin{array}{rrrrr} x&+&2y&=&-5 \\\\ x&-&y&=&-2 \\end{array}\\right.[\/latex]<\/li>\n<\/ol>\n

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

                  \n
                1. [latex]\\left\\{ \\begin{array}{rrrrr} 4x&-&3y&=&13 \\\\ 5x&-&2y&=&4 \\end{array}\\right.[\/latex]<\/li>\n
                2. [latex]\\left\\{ \\begin{array}{rrrrr} x&-&2y&=&-5 \\\\ 2x&+&y&=&5 \\end{array}\\right.[\/latex]<\/li>\n
                3. [latex]\\left\\{ \\begin{array}{rrrrrrr} x&+&y&+&2z&=&0 \\\\ 2x&&&+&z&=&1 \\\\ &&3y&+&4z&=&0 \\end{array}\\right.[\/latex]<\/li>\n<\/ol>\n

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

                    \n
                  1. [latex]28 - \\{5x - \\left[6x - 3(5 - 2x)\\right]^0 \\} + 5x^2[\/latex]<\/li>\n
                  2. [latex]4a^2 (a - 3)^2[\/latex]<\/li>\n
                  3. [latex](x^2 + 2x + 3)^2[\/latex]<\/li>\n<\/ol>\n

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

                      \n
                    1. [latex](2x^3 - 7x^2 + 15) \\div (x - 2)[\/latex]<\/li>\n<\/ol>\n

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

                        \n
                      1. [latex]2ab + 3ac - 4b - 6c[\/latex]<\/li>\n
                      2. [latex]a^2 - 2ab - 15b^2[\/latex]<\/li>\n
                      3. [latex]x^3 + x^2 - 9x - 9[\/latex]<\/li>\n
                      4. [latex]x^3 - 64y^3[\/latex]<\/li>\n<\/ol>\n

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

                          \n
                        1. The sum of a brother’s and sister\u2019s ages is 35. Ten years ago, the brother was twice 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 20 coins in her pocket worth [latex]\\$2.75[\/latex], and if the coins are only dimes and quarters, how many of each kind of coin does she have?<\/li>\n
                        3. A 50 kg blend of two different grades of tea is sold for [latex]\\$191.25.[\/latex] If grade A sells for [latex]\\$3.95[\/latex] per kg and grade B sells for [latex]\\$3.70[\/latex] per kg, how many kg of each grade were used?<\/li>\n<\/ol>\n

                          Midterm 2: Version A Answer Key<\/a><\/p>\n","protected":false},"author":90,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"chapter-type":[],"contributor":[],"license":[56],"class_list":["post-1394","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1392,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1394","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1394\/revisions"}],"predecessor-version":[{"id":1395,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1394\/revisions\/1395"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1392"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1394\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1394"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1394"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1394"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}