{"id":1483,"date":"2021-12-02T19:38:12","date_gmt":"2021-12-03T00:38:12","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-b\/"},"modified":"2023-08-31T19:09:00","modified_gmt":"2023-08-31T23:09:00","slug":"midterm-3-version-b","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-b\/","title":{"raw":"Midterm 3: Version B","rendered":"Midterm 3: Version B"},"content":{"raw":"For problems 1\u20134, perform the indicated operations and simplify.\r\n
    \r\n \t
  1. [latex]\\dfrac{5m^3}{4n^2}\\div \\dfrac{3m^3}{13n^3} \\cdot \\dfrac{12m^4}{26n^2}[\/latex]<\/li>\r\n \t
  2. [latex]\\dfrac{3x^2+9x}{3x+9}\\div \\dfrac{x^2+3x-18}{6x^2+18x}[\/latex]<\/li>\r\n \t
  3. [latex]\\dfrac{5x}{x+3}-\\dfrac{5x}{x-3}+\\dfrac{90}{x^2-9}[\/latex]<\/li>\r\n \t
  4. [latex]\\dfrac{\\dfrac{9a^2}{b^2}-25}{\\dfrac{3a}{b}+5}[\/latex]<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. [latex]\\sqrt{72d^3}+4\\sqrt{18d^3}-2\\sqrt{49d^4}[\/latex]<\/li>\r\n \t
    2. [latex]\\dfrac{\\sqrt{a^6b^3}}{\\sqrt{5a}}[\/latex]<\/li>\r\n \t
    3. [latex]\\dfrac{\\sqrt{5}}{3+\\sqrt{5}}[\/latex]<\/li>\r\n<\/ol>\r\nSolve for [latex]x[\/latex].\r\n
        \r\n \t
      1. [latex]\\sqrt{4x+12}=x[\/latex]<\/li>\r\n<\/ol>\r\nFor problems 9\u201312, find the solution set by any convenient method.\r\n
          \r\n \t
        1. [latex]\\phantom{1}[\/latex]\r\n
            \r\n \t
          1. [latex]2x^2=98[\/latex]<\/li>\r\n \t
          2. [latex]4x^2=12x[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          3. [latex]\\phantom{1}[\/latex]\r\n
              \r\n \t
            1. [latex]x^2-x-20=0[\/latex]<\/li>\r\n \t
            2. [latex]x^2=2x+35[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. [latex]\\dfrac{x-3}{x+2}+\\dfrac{6}{x+3}=1[\/latex]<\/li>\r\n \t
            4. [latex]x^4-5x^2+4=0[\/latex]<\/li>\r\n \t
            5. The length of a rectangle is 3 m longer than its width. If it has a perimeter that is 46 m long, then find the length and width of this rectangle.<\/li>\r\n \t
            6. Find three consecutive even integers such that the product of the first two is 16 more than the third.<\/li>\r\n \t
            7. A boat cruises upriver for 4 hours and returns to its starting point in 2 hours. If the speed of the river is 5 km\/h, find the speed of this boat in still water.<\/li>\r\n<\/ol>\r\nMidterm 3: Version B Answer Key<\/a>","rendered":"

              For problems 1\u20134, perform the indicated operations and simplify.<\/p>\n

                \n
              1. [latex]\\dfrac{5m^3}{4n^2}\\div \\dfrac{3m^3}{13n^3} \\cdot \\dfrac{12m^4}{26n^2}[\/latex]<\/li>\n
              2. [latex]\\dfrac{3x^2+9x}{3x+9}\\div \\dfrac{x^2+3x-18}{6x^2+18x}[\/latex]<\/li>\n
              3. [latex]\\dfrac{5x}{x+3}-\\dfrac{5x}{x-3}+\\dfrac{90}{x^2-9}[\/latex]<\/li>\n
              4. [latex]\\dfrac{\\dfrac{9a^2}{b^2}-25}{\\dfrac{3a}{b}+5}[\/latex]<\/li>\n<\/ol>\n

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

                  \n
                1. [latex]\\sqrt{72d^3}+4\\sqrt{18d^3}-2\\sqrt{49d^4}[\/latex]<\/li>\n
                2. [latex]\\dfrac{\\sqrt{a^6b^3}}{\\sqrt{5a}}[\/latex]<\/li>\n
                3. [latex]\\dfrac{\\sqrt{5}}{3+\\sqrt{5}}[\/latex]<\/li>\n<\/ol>\n

                  Solve for [latex]x[\/latex].<\/p>\n

                    \n
                  1. [latex]\\sqrt{4x+12}=x[\/latex]<\/li>\n<\/ol>\n

                    For problems 9\u201312, find the solution set by any convenient method.<\/p>\n

                      \n
                    1. [latex]\\phantom{1}[\/latex]\n
                        \n
                      1. [latex]2x^2=98[\/latex]<\/li>\n
                      2. [latex]4x^2=12x[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                      3. [latex]\\phantom{1}[\/latex]\n
                          \n
                        1. [latex]x^2-x-20=0[\/latex]<\/li>\n
                        2. [latex]x^2=2x+35[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                        3. [latex]\\dfrac{x-3}{x+2}+\\dfrac{6}{x+3}=1[\/latex]<\/li>\n
                        4. [latex]x^4-5x^2+4=0[\/latex]<\/li>\n
                        5. The length of a rectangle is 3 m longer than its width. If it has a perimeter that is 46 m long, then find the length and width of this rectangle.<\/li>\n
                        6. Find three consecutive even integers such that the product of the first two is 16 more than the third.<\/li>\n
                        7. A boat cruises upriver for 4 hours and returns to its starting point in 2 hours. If the speed of the river is 5 km\/h, find the speed of this boat in still water.<\/li>\n<\/ol>\n

                          Midterm 3: Version B Answer Key<\/a><\/p>\n","protected":false},"author":90,"menu_order":2,"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-1483","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1479,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1483","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":2,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1483\/revisions"}],"predecessor-version":[{"id":2166,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1483\/revisions\/2166"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1479"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1483\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1483"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1483"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1483"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1483"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}