{"id":1400,"date":"2021-12-02T19:37:50","date_gmt":"2021-12-03T00:37:50","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-two-version-d\/"},"modified":"2022-11-02T10:35:15","modified_gmt":"2022-11-02T14:35:15","slug":"midterm-two-version-d","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-two-version-d\/","title":{"raw":"Midterm 2: Version D","rendered":"Midterm 2: Version D"},"content":{"raw":"Find the solution set of the system graphically.\n
    \n \t
  1. [latex]\\left\\{\n\\begin{array}{rrrrrrr}\nx&-&2y&+&6&=&0 \\\\\nx&+&y&-&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&-&2y&=&0 \\\\\n2x&+&5y&=&0\n\\end{array}\\right.[\/latex]<\/li>\n \t
    2. [latex]\\left\\{\n\\begin{array}{rrrrr}\n2x&-&3y&=&8 \\\\\n3y&-&2x&=&4\n\\end{array}\\right.[\/latex]<\/li>\n \t
    3. [latex]\\left\\{\n\\begin{array}{rrrrrrr}\n2x&+&y&-&3z&=&-7 \\\\\n&&-2y&+&3z&=&9 \\\\\n3x&&&+&z&=&6\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 + 3x^2[\/latex]<\/li>\n \t
      2. [latex]3a^2(a - 2)^2[\/latex]<\/li>\n \t
      3. [latex](x^2 + 2x - 4)^2[\/latex]<\/li>\n<\/ol>\nDivide using long division.\n
          \n \t
        1. [latex](x^4 +\u00a0 4x^3 +\u00a0 4x^2 + 10x + 20) \\div (x + 2)[\/latex]<\/li>\n<\/ol>\nFor problems 9\u201312, factor each expression completely.\n
            \n \t
          1. [latex]x^2 + 3x - 18[\/latex]<\/li>\n \t
          2. [latex]3x^2 + 25xy + 8y^2[\/latex]<\/li>\n \t
          3. [latex]125x^3 -\u00a0 y^3[\/latex]<\/li>\n \t
          4. [latex]81y^4 - 16x^4[\/latex]<\/li>\n<\/ol>\nSolve the following word problems.\n
              \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>\n \t
            2. A purse contains [latex]\\$3.50[\/latex] made up of dimes and quarters. If there are 20 coins in all, how many dimes and how many quarters were there?<\/li>\n \t
            3. A 60 kg blend of two different grades of tea is sold for [latex]\\$218.50.[\/latex] If grade A sells for [latex]\\$3.80[\/latex] per kg and grade B sells for [latex]\\$3.55[\/latex] per kg, how many kg of each grade were used?<\/li>\n<\/ol>\nMidterm 2: Version D Answer Key<\/a>","rendered":"

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

                \n
              1. [latex]\\left\\{ \\begin{array}{rrrrrrr} x&-&2y&+&6&=&0 \\\\ x&+&y&-&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&-&2y&=&0 \\\\ 2x&+&5y&=&0 \\end{array}\\right.[\/latex]<\/li>\n
                2. [latex]\\left\\{ \\begin{array}{rrrrr} 2x&-&3y&=&8 \\\\ 3y&-&2x&=&4 \\end{array}\\right.[\/latex]<\/li>\n
                3. [latex]\\left\\{ \\begin{array}{rrrrrrr} 2x&+&y&-&3z&=&-7 \\\\ &&-2y&+&3z&=&9 \\\\ 3x&&&+&z&=&6 \\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 + 3x^2[\/latex]<\/li>\n
                  2. [latex]3a^2(a - 2)^2[\/latex]<\/li>\n
                  3. [latex](x^2 + 2x - 4)^2[\/latex]<\/li>\n<\/ol>\n

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

                      \n
                    1. [latex](x^4 +\u00a0 4x^3 +\u00a0 4x^2 + 10x + 20) \\div (x + 2)[\/latex]<\/li>\n<\/ol>\n

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

                        \n
                      1. [latex]x^2 + 3x - 18[\/latex]<\/li>\n
                      2. [latex]3x^2 + 25xy + 8y^2[\/latex]<\/li>\n
                      3. [latex]125x^3 -\u00a0 y^3[\/latex]<\/li>\n
                      4. [latex]81y^4 - 16x^4[\/latex]<\/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 [latex]\\$3.50[\/latex] 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 [latex]\\$218.50.[\/latex] If grade A sells for [latex]\\$3.80[\/latex] per kg and grade B sells for [latex]\\$3.55[\/latex] per kg, how many kg of each grade were used?<\/li>\n<\/ol>\n

                          Midterm 2: Version D Answer Key<\/a><\/p>\n","protected":false},"author":90,"menu_order":4,"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-1400","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\/1400","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\/1400\/revisions"}],"predecessor-version":[{"id":1401,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1400\/revisions\/1401"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1392"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1400\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1400"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1400"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1400"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}