{"id":1398,"date":"2021-12-02T19:37:50","date_gmt":"2021-12-03T00:37:50","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-two-version-c\/"},"modified":"2022-11-02T10:35:14","modified_gmt":"2022-11-02T14:35:14","slug":"midterm-two-version-c","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-two-version-c\/","title":{"raw":"Midterm 2: Version C","rendered":"Midterm 2: Version C"},"content":{"raw":"Find the solution set of the system graphically.\n
    \n \t
  1. [latex]\\left\\{\n\\begin{array}{rrrrrrr}\n2x&-&y&-&2&=&0 \\\\\n2x&+&3y&+&6&=&0\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}\n3x&-&4y&=&13 \\\\\nx&+&y&=&2\n\\end{array}\\right.[\/latex]<\/li>\n \t
    2. [latex]\\left\\{\n\\begin{array}{rrrrr}\n4x&-&3y&=&6 \\\\\n3y&+&4x&=&2\n\\end{array}\\right.[\/latex]<\/li>\n \t
    3. [latex]\\left\\{\n\\begin{array}{rrrrrrr}\nx&+&y&+&z&=&6 \\\\\n&&2y&+&4z&=&10 \\\\\n-2x&&&+&z&=&-3 \\\\\n\\end{array}\\right.[\/latex]<\/li>\n<\/ol>\nReduce the following expressions in questions 5\u20137.\n
        \n \t
      1. [latex]36 + \\{-2x - \\left[6x - 3(5 - 2x)\\right]\\}^0 + 6x^3[\/latex]<\/li>\n \t
      2. [latex]6a^2b(a - 3)(a + 3)[\/latex]<\/li>\n \t
      3. [latex](x^2 + 3x + 5)^2[\/latex]<\/li>\n<\/ol>\nDivide using long division.\n
          \n \t
        1. [latex](2x^4 + x^3 + 4x^2 - 4x - 5) \\div (2x + 1)[\/latex]<\/li>\n<\/ol>\nFor problems 9\u201312, factor each expression completely.\n
            \n \t
          1. [latex]x^2 + 17x - 18[\/latex]<\/li>\n \t
          2. [latex]2a^2 - 4ab - 30b^2[\/latex]<\/li>\n \t
          3. [latex]8x^3 - y^3[\/latex]<\/li>\n \t
          4. [latex]16y^4 - x^4[\/latex]<\/li>\n<\/ol>\nSolve the following word problems.\n
              \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>\n \t
            2. Kyra gave her brother Mark a logic question to solve: If she has 18 coins in her pocket worth [latex]\\$1.20[\/latex], and if the coins are only dimes and nickels, how many of each type of coin does she have?<\/li>\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>\n<\/ol>\nMidterm 2: Version C Answer Key<\/a>","rendered":"

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

                \n
              1. [latex]\\left\\{ \\begin{array}{rrrrrrr} 2x&-&y&-&2&=&0 \\\\ 2x&+&3y&+&6&=&0 \\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} 3x&-&4y&=&13 \\\\ x&+&y&=&2 \\end{array}\\right.[\/latex]<\/li>\n
                2. [latex]\\left\\{ \\begin{array}{rrrrr} 4x&-&3y&=&6 \\\\ 3y&+&4x&=&2 \\end{array}\\right.[\/latex]<\/li>\n
                3. [latex]\\left\\{ \\begin{array}{rrrrrrr} x&+&y&+&z&=&6 \\\\ &&2y&+&4z&=&10 \\\\ -2x&&&+&z&=&-3 \\\\ \\end{array}\\right.[\/latex]<\/li>\n<\/ol>\n

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

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

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

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

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

                        \n
                      1. [latex]x^2 + 17x - 18[\/latex]<\/li>\n
                      2. [latex]2a^2 - 4ab - 30b^2[\/latex]<\/li>\n
                      3. [latex]8x^3 - y^3[\/latex]<\/li>\n
                      4. [latex]16y^4 - x^4[\/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 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 [latex]\\$1.20[\/latex], 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","protected":false},"author":90,"menu_order":3,"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-1398","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\/1398","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\/1398\/revisions"}],"predecessor-version":[{"id":1399,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1398\/revisions\/1399"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1392"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1398\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1398"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1398"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1398"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1398"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}