{"id":1319,"date":"2021-12-02T19:37:28","date_gmt":"2021-12-03T00:37:28","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-e\/"},"modified":"2023-08-30T13:01:49","modified_gmt":"2023-08-30T17:01:49","slug":"midterm-one-version-e","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-e\/","title":{"raw":"Midterm 1: Version E","rendered":"Midterm 1: Version E"},"content":{"raw":"
    \r\n \t
  1. Simplify the following:\r\n
      \r\n \t
    1. [latex]-(3)^2[\/latex]<\/li>\r\n \t
    2. [latex](- 3)^2[\/latex]<\/li>\r\n \t
    3. [latex]- 3^2[\/latex]<\/li>\r\n \t
    4. [latex]3 ( 2 + 4 ) - ( 2 \\cdot 4 ) [\/latex]<\/li>\r\n \t
    5. [latex]- | -5 + 8|[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n
        \r\n \t
      1. Solve for [latex]x[\/latex] in the equation [latex]2(x - 4) + 18 = -12 + 4(x + 3).[\/latex]<\/li>\r\n \t
      2. Isolate the variable [latex]r_1[\/latex] in the equation [latex]\\dfrac{1}{R}-\\dfrac{1}{r_1} = \\dfrac{1}{r_2}.[\/latex]<\/li>\r\n \t
      3. Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x}{12} - \\dfrac{x-4}{3}=\\dfrac{2}{3}.[\/latex]<\/li>\r\n \t
      4. Find the equation of the horizontal line that passes through the point [latex](-4, -6).[\/latex]<\/li>\r\n \t
      5. Find the equation that has a slope of [latex]\\dfrac{2}{5}[\/latex] and passes through the point [latex](-1, 1).[\/latex]<\/li>\r\n \t
      6. Find the equation of the line passing through the points [latex](0, -1)[\/latex] and [latex](2, 5).[\/latex]<\/li>\r\n \t
      7. Graph the relation [latex]y=\\dfrac{2}{3}x + 1.[\/latex]<\/li>\r\n<\/ol>\r\nFor questions 9 to 11, find each solution set and graph it.\r\n
          \r\n \t
        1. [latex]-20 \\le 8x - 4 \\le 28[\/latex]<\/li>\r\n \t
        2. [latex]\\left| \\dfrac{2x+2}{6} \\right| \\le 2[\/latex]<\/li>\r\n \t
        3. [latex]\\left| \\dfrac{3x-4}{5}\\right|[\/latex] > [latex]1[\/latex]<\/li>\r\n \t
        4. Graph [latex]3x - 2y < 12.[\/latex]<\/li>\r\n \t
        5. Find three consecutive odd integers such that the sum of the first integer, two times the second integer, and three times the third integer is 94.<\/li>\r\n \t
        6. Karl is going to cut a 800 cm cable into 2 pieces. If the first piece is to be 3 times as long as the second piece, find the length of each piece.<\/li>\r\n \t
        7. [latex]y[\/latex] varies jointly with [latex]m[\/latex] and inversely with the square of [latex]n.[\/latex] If [latex]y = 12[\/latex] when [latex]m = 3[\/latex] and [latex]n = 4,[\/latex] find the constant [latex]k,[\/latex] then use [latex]k[\/latex] to find [latex]y[\/latex] when [latex]m = 3[\/latex] and [latex]n = -3.[\/latex]<\/li>\r\n<\/ol>\r\nMidterm 1: Version E Answer Key<\/a>","rendered":"
            \n
          1. Simplify the following:\n
              \n
            1. [latex]-(3)^2[\/latex]<\/li>\n
            2. [latex](- 3)^2[\/latex]<\/li>\n
            3. [latex]- 3^2[\/latex]<\/li>\n
            4. [latex]3 ( 2 + 4 ) - ( 2 \\cdot 4 )[\/latex]<\/li>\n
            5. [latex]- | -5 + 8|[\/latex]<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n
                \n
              1. Solve for [latex]x[\/latex] in the equation [latex]2(x - 4) + 18 = -12 + 4(x + 3).[\/latex]<\/li>\n
              2. Isolate the variable [latex]r_1[\/latex] in the equation [latex]\\dfrac{1}{R}-\\dfrac{1}{r_1} = \\dfrac{1}{r_2}.[\/latex]<\/li>\n
              3. Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x}{12} - \\dfrac{x-4}{3}=\\dfrac{2}{3}.[\/latex]<\/li>\n
              4. Find the equation of the horizontal line that passes through the point [latex](-4, -6).[\/latex]<\/li>\n
              5. Find the equation that has a slope of [latex]\\dfrac{2}{5}[\/latex] and passes through the point [latex](-1, 1).[\/latex]<\/li>\n
              6. Find the equation of the line passing through the points [latex](0, -1)[\/latex] and [latex](2, 5).[\/latex]<\/li>\n
              7. Graph the relation [latex]y=\\dfrac{2}{3}x + 1.[\/latex]<\/li>\n<\/ol>\n

                For questions 9 to 11, find each solution set and graph it.<\/p>\n

                  \n
                1. [latex]-20 \\le 8x - 4 \\le 28[\/latex]<\/li>\n
                2. [latex]\\left| \\dfrac{2x+2}{6} \\right| \\le 2[\/latex]<\/li>\n
                3. [latex]\\left| \\dfrac{3x-4}{5}\\right|[\/latex] > [latex]1[\/latex]<\/li>\n
                4. Graph [latex]3x - 2y < 12.[\/latex]<\/li>\n
                5. Find three consecutive odd integers such that the sum of the first integer, two times the second integer, and three times the third integer is 94.<\/li>\n
                6. Karl is going to cut a 800 cm cable into 2 pieces. If the first piece is to be 3 times as long as the second piece, find the length of each piece.<\/li>\n
                7. [latex]y[\/latex] varies jointly with [latex]m[\/latex] and inversely with the square of [latex]n.[\/latex] If [latex]y = 12[\/latex] when [latex]m = 3[\/latex] and [latex]n = 4,[\/latex] find the constant [latex]k,[\/latex] then use [latex]k[\/latex] to find [latex]y[\/latex] when [latex]m = 3[\/latex] and [latex]n = -3.[\/latex]<\/li>\n<\/ol>\n

                  Midterm 1: 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-1319","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1309,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1319","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\/1319\/revisions"}],"predecessor-version":[{"id":2098,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1319\/revisions\/2098"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1309"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1319\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1319"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1319"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1319"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}