{"id":1402,"date":"2021-12-02T19:37:51","date_gmt":"2021-12-03T00:37:51","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-two-preparation\/"},"modified":"2022-11-02T10:35:17","modified_gmt":"2022-11-02T14:35:17","slug":"midterm-two-preparation","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-two-preparation\/","title":{"raw":"Midterm 2: Version E","rendered":"Midterm 2: Version E"},"content":{"raw":"Find the solution set of the system graphically.\n
    \n \t
  1. [latex]\\left\\{\n\\begin{array}{rrrrr}\nx&-&y&=&-3 \\\\\nx&+&2y&=&3\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}\n2x&-&5y&=&-2 \\\\\n3x&-&4y&=&4\n\\end{array}\\right.[\/latex]<\/li>\n \t
    2. [latex]\\left\\{\n\\begin{array}{rrrrr}\n4x&+&3y&=&-29 \\\\\n3x&+&2y&=&-21\n\\end{array}\\right.[\/latex]<\/li>\n \t
    3. [latex]\\left\\{\n\\begin{array}{rrrrrrr}\nx&+&y&-&3z&=&0 \\\\\n&&2y&-&2z&=&-12 \\\\\n2x&-&3y&&&=&16\n\\end{array}\\right.[\/latex]<\/li>\n<\/ol>\nReduce the following expressions in questions 5\u20137.\n
        \n \t
      1. [latex]5 - 4 \\left[ 2x - 2 (6x - 5)^0 - ( 7 - 2x )\\right][\/latex]<\/li>\n \t
      2. [latex]3ab^4(a - 5)(a + 5)[\/latex]<\/li>\n \t
      3. [latex](x^2 + 3x - 6)^2[\/latex]<\/li>\n<\/ol>\nDivide using long division.\n
          \n \t
        1. [latex](3x^3 + 18 + 7x^2) \\div (x + 3)[\/latex]<\/li>\n<\/ol>\nFor problems 9\u201312, factor each expression completely.\n
            \n \t
          1. [latex]x^2 + 4x - 21[\/latex]<\/li>\n \t
          2. [latex]4x^3 + 4x^2 - 9x - 9[\/latex]<\/li>\n \t
          3. [latex]8x^3 - 27y^3[\/latex]<\/li>\n \t
          4. [latex]x^4 - 624x^2 - 625[\/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 20 years. Four years ago, the girl was two times the age of the boy. Find the present age of each child.<\/li>\n \t
            2. How many ml of a 16% sulfuric acid solution must be added to 20 ml of a 6% solution to create a 12% solution?<\/li>\n \t
            3. A 60 kg blend of cereals and raisins is sold for [latex]\\$213.[\/latex] If the cereal sells for [latex]\\$3.40[\/latex] per kg and the raisins sells for [latex]\\$3.90[\/latex] per kg, how many kg of each grade were used?<\/li>\n<\/ol>\nMidterm 2: Version E Answer Key<\/a>","rendered":"

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

                \n
              1. [latex]\\left\\{ \\begin{array}{rrrrr} x&-&y&=&-3 \\\\ x&+&2y&=&3 \\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} 2x&-&5y&=&-2 \\\\ 3x&-&4y&=&4 \\end{array}\\right.[\/latex]<\/li>\n
                2. [latex]\\left\\{ \\begin{array}{rrrrr} 4x&+&3y&=&-29 \\\\ 3x&+&2y&=&-21 \\end{array}\\right.[\/latex]<\/li>\n
                3. [latex]\\left\\{ \\begin{array}{rrrrrrr} x&+&y&-&3z&=&0 \\\\ &&2y&-&2z&=&-12 \\\\ 2x&-&3y&&&=&16 \\end{array}\\right.[\/latex]<\/li>\n<\/ol>\n

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

                    \n
                  1. [latex]5 - 4 \\left[ 2x - 2 (6x - 5)^0 - ( 7 - 2x )\\right][\/latex]<\/li>\n
                  2. [latex]3ab^4(a - 5)(a + 5)[\/latex]<\/li>\n
                  3. [latex](x^2 + 3x - 6)^2[\/latex]<\/li>\n<\/ol>\n

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

                      \n
                    1. [latex](3x^3 + 18 + 7x^2) \\div (x + 3)[\/latex]<\/li>\n<\/ol>\n

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

                        \n
                      1. [latex]x^2 + 4x - 21[\/latex]<\/li>\n
                      2. [latex]4x^3 + 4x^2 - 9x - 9[\/latex]<\/li>\n
                      3. [latex]8x^3 - 27y^3[\/latex]<\/li>\n
                      4. [latex]x^4 - 624x^2 - 625[\/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 20 years. Four years ago, the girl was two times the age of the boy. Find the present age of each child.<\/li>\n
                        2. How many ml of a 16% sulfuric acid solution must be added to 20 ml of a 6% solution to create a 12% solution?<\/li>\n
                        3. A 60 kg blend of cereals and raisins is sold for [latex]\\$213.[\/latex] If the cereal sells for [latex]\\$3.40[\/latex] per kg and the raisins sells for [latex]\\$3.90[\/latex] per kg, how many kg of each grade were used?<\/li>\n<\/ol>\n

                          Midterm 2: Version E Answer Key<\/a><\/p>\n","protected":false},"author":90,"menu_order":5,"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-1402","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\/1402","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\/1402\/revisions"}],"predecessor-version":[{"id":1403,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1402\/revisions\/1403"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1392"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1402\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1402"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1402"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1402"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}