{"id":1487,"date":"2021-12-02T19:38:15","date_gmt":"2021-12-03T00:38:15","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-d\/"},"modified":"2023-08-31T19:17:22","modified_gmt":"2023-08-31T23:17:22","slug":"midterm-3-version-d","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-d\/","title":{"raw":"Midterm 3: Version D","rendered":"Midterm 3: Version D"},"content":{"raw":"For problems 1\u20134, perform the indicated operations and simplify.\r\n
    \r\n \t
  1. [latex]\\dfrac{15m^3}{4n^2}\\div \\dfrac{45m^6}{13n^3}\\cdot \\dfrac{3m^4}{39n^2}[\/latex]<\/li>\r\n \t
  2. [latex]\\dfrac{3x^2-9x}{3x+9}\\div \\dfrac{x^2+2x-15}{12x}[\/latex]<\/li>\r\n \t
  3. [latex]\\dfrac{2}{x+4}-\\dfrac{6}{x-3}=3[\/latex]<\/li>\r\n \t
  4. [latex]\\dfrac{\\dfrac{x^2}{y^2}-9}{\\dfrac{x+3y}{y^3}}[\/latex]<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. [latex]\\sqrt{25y^4}+2\\sqrt{49y^2}+\\sqrt{25y^3}[\/latex]<\/li>\r\n \t
    2. [latex]\\dfrac{15}{3-\\sqrt{5}}[\/latex]<\/li>\r\n \t
    3. [latex]\\left(\\dfrac{a^0b^4}{c^8d^{-12}}\\right)^{\\frac{1}{4}}[\/latex]<\/li>\r\n<\/ol>\r\nFind the solution set.\r\n
        \r\n \t
      1. [latex]\\sqrt{2x+9}-3=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]8x^2=32x[\/latex]<\/li>\r\n \t
          2. [latex]3x^2=48[\/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=5x-4[\/latex]<\/li>\r\n \t
            2. [latex]x^2-4x+3=0[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. [latex]\\dfrac{2}{x}=\\dfrac{x}{x+4}[\/latex]<\/li>\r\n \t
            4. [latex]x^4-48x^2-49=0[\/latex]<\/li>\r\n \t
            5. The base of a triangle is 2 cm less than its height. If the area of this triangle is 40 cm2<\/sup>, find the lengths of its height and base.<\/li>\r\n \t
            6. Find three consecutive odd integers such that the product of the first and the third is 41 more than four times the second integer.<\/li>\r\n \t
            7. Karl paddles downstream in a canoe for 2 hours to reach a store for camp supplies. After getting what he needs, he paddles back upriver for 3 hours before he needs to take a break. If he still has 4 km to go and he can paddle at 6 km\/h on still water, what speed is the river flowing at?<\/li>\r\n<\/ol>\r\nMidterm 3: Version D Answer Key<\/a>","rendered":"

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

                \n
              1. [latex]\\dfrac{15m^3}{4n^2}\\div \\dfrac{45m^6}{13n^3}\\cdot \\dfrac{3m^4}{39n^2}[\/latex]<\/li>\n
              2. [latex]\\dfrac{3x^2-9x}{3x+9}\\div \\dfrac{x^2+2x-15}{12x}[\/latex]<\/li>\n
              3. [latex]\\dfrac{2}{x+4}-\\dfrac{6}{x-3}=3[\/latex]<\/li>\n
              4. [latex]\\dfrac{\\dfrac{x^2}{y^2}-9}{\\dfrac{x+3y}{y^3}}[\/latex]<\/li>\n<\/ol>\n

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

                  \n
                1. [latex]\\sqrt{25y^4}+2\\sqrt{49y^2}+\\sqrt{25y^3}[\/latex]<\/li>\n
                2. [latex]\\dfrac{15}{3-\\sqrt{5}}[\/latex]<\/li>\n
                3. [latex]\\left(\\dfrac{a^0b^4}{c^8d^{-12}}\\right)^{\\frac{1}{4}}[\/latex]<\/li>\n<\/ol>\n

                  Find the solution set.<\/p>\n

                    \n
                  1. [latex]\\sqrt{2x+9}-3=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]8x^2=32x[\/latex]<\/li>\n
                      2. [latex]3x^2=48[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                      3. [latex]\\phantom{1}[\/latex]\n
                          \n
                        1. [latex]x^2=5x-4[\/latex]<\/li>\n
                        2. [latex]x^2-4x+3=0[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                        3. [latex]\\dfrac{2}{x}=\\dfrac{x}{x+4}[\/latex]<\/li>\n
                        4. [latex]x^4-48x^2-49=0[\/latex]<\/li>\n
                        5. The base of a triangle is 2 cm less than its height. If the area of this triangle is 40 cm2<\/sup>, find the lengths of its height and base.<\/li>\n
                        6. Find three consecutive odd integers such that the product of the first and the third is 41 more than four times the second integer.<\/li>\n
                        7. Karl paddles downstream in a canoe for 2 hours to reach a store for camp supplies. After getting what he needs, he paddles back upriver for 3 hours before he needs to take a break. If he still has 4 km to go and he can paddle at 6 km\/h on still water, what speed is the river flowing at?<\/li>\n<\/ol>\n

                          Midterm 3: 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-1487","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\/1487","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\/1487\/revisions"}],"predecessor-version":[{"id":2168,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1487\/revisions\/2168"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1479"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1487\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1487"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1487"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1487"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1487"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}