{"id":1481,"date":"2021-12-02T19:38:13","date_gmt":"2021-12-03T00:38:13","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-a\/"},"modified":"2023-08-31T18:59:41","modified_gmt":"2023-08-31T22:59:41","slug":"midterm-3-version-a","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-3-version-a\/","title":{"raw":"Midterm 3: Version A","rendered":"Midterm 3: Version A"},"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{12n}{17m^3} \\cdot \\dfrac{3m^4}{34n^2}[\/latex]<\/li>\r\n \t
  2. [latex]\\dfrac{8x-8y}{x^3+y^3}\\div \\dfrac{x^2-y^2}{x^2-xy+y^2}[\/latex]<\/li>\r\n \t
  3. [latex]\\dfrac{5}{6}-2-\\dfrac{5}{n-3}[\/latex]<\/li>\r\n \t
  4. [latex]\\dfrac{\\dfrac{x^2}{y^2}-4}{\\dfrac{x+2y}{y^3}}[\/latex]<\/li>\r\n<\/ol>\r\nReduce the expressions in questions 5\u20137.\r\n
      \r\n \t
    1. [latex]3\\sqrt{25}+2\\sqrt{72}-\\sqrt{16}[\/latex]<\/li>\r\n \t
    2. [latex]\\dfrac{\\sqrt{m^7n^3}}{\\sqrt{2n}}[\/latex]<\/li>\r\n \t
    3. [latex]\\dfrac{2-x}{1-\\sqrt{3}}[\/latex]<\/li>\r\n<\/ol>\r\nSolve for [latex]x[\/latex].\r\n
        \r\n \t
      1. [latex]\\sqrt{7x+8}=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]4x^2=64[\/latex]<\/li>\r\n \t
          2. [latex]3x^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^2-6x+5=0[\/latex]<\/li>\r\n \t
            2. [latex]x^2+10x=-9[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. [latex]\\dfrac{x+4}{-4}=\\dfrac{8}{x}[\/latex]<\/li>\r\n \t
            4. [latex]x^4-13x^2+36=0[\/latex]<\/li>\r\n \t
            5. The base of a right triangle is 10 m longer than its height. If the area of this triangle is 300 m2<\/sup>, what are its base and height measurements?<\/li>\r\n \t
            6. Find three consecutive odd integers such that the product of the first and the third is 38 more than the second.<\/li>\r\n \t
            7. Two airplanes take off from the same airfield, with the first plane leaving at 6 a.m. and the second at 7:30 a.m. The second airplane, travelling at 150 km\/h faster than the first, catches up to the first plane by 10:30 a.m. What is the speed of each airplane?<\/li>\r\n<\/ol>\r\nMidterm 3: Version A 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{12n}{17m^3} \\cdot \\dfrac{3m^4}{34n^2}[\/latex]<\/li>\n
              2. [latex]\\dfrac{8x-8y}{x^3+y^3}\\div \\dfrac{x^2-y^2}{x^2-xy+y^2}[\/latex]<\/li>\n
              3. [latex]\\dfrac{5}{6}-2-\\dfrac{5}{n-3}[\/latex]<\/li>\n
              4. [latex]\\dfrac{\\dfrac{x^2}{y^2}-4}{\\dfrac{x+2y}{y^3}}[\/latex]<\/li>\n<\/ol>\n

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

                  \n
                1. [latex]3\\sqrt{25}+2\\sqrt{72}-\\sqrt{16}[\/latex]<\/li>\n
                2. [latex]\\dfrac{\\sqrt{m^7n^3}}{\\sqrt{2n}}[\/latex]<\/li>\n
                3. [latex]\\dfrac{2-x}{1-\\sqrt{3}}[\/latex]<\/li>\n<\/ol>\n

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

                    \n
                  1. [latex]\\sqrt{7x+8}=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]4x^2=64[\/latex]<\/li>\n
                      2. [latex]3x^2=12x[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                      3. [latex]\\phantom{1}[\/latex]\n
                          \n
                        1. [latex]x^2-6x+5=0[\/latex]<\/li>\n
                        2. [latex]x^2+10x=-9[\/latex]<\/li>\n<\/ol>\n<\/li>\n
                        3. [latex]\\dfrac{x+4}{-4}=\\dfrac{8}{x}[\/latex]<\/li>\n
                        4. [latex]x^4-13x^2+36=0[\/latex]<\/li>\n
                        5. The base of a right triangle is 10 m longer than its height. If the area of this triangle is 300 m2<\/sup>, what are its base and height measurements?<\/li>\n
                        6. Find three consecutive odd integers such that the product of the first and the third is 38 more than the second.<\/li>\n
                        7. Two airplanes take off from the same airfield, with the first plane leaving at 6 a.m. and the second at 7:30 a.m. The second airplane, travelling at 150 km\/h faster than the first, catches up to the first plane by 10:30 a.m. What is the speed of each airplane?<\/li>\n<\/ol>\n

                          Midterm 3: Version A Answer Key<\/a><\/p>\n","protected":false},"author":90,"menu_order":1,"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-1481","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\/1481","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":3,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1481\/revisions"}],"predecessor-version":[{"id":2165,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1481\/revisions\/2165"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1479"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1481\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1481"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1481"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1481"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1481"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}