{"id":1876,"date":"2019-08-26T13:56:07","date_gmt":"2019-08-26T17:56:07","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=1876"},"modified":"2019-11-27T13:13:11","modified_gmt":"2019-11-27T18:13:11","slug":"midterm-one-version-e","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/midterm-one-version-e\/","title":{"raw":"Midterm 1: Version E","rendered":"Midterm 1: Version E"},"content":{"raw":"[latexpage]\r\n\r\n\r\n
    \r\n \t
  1. Simplify the following:\r\n
      \r\n \t
    1. \\(-(3)^2\\)<\/li>\r\n \t
    2. \\((- 3)^2\\)<\/li>\r\n \t
    3. \\(- 3^2\\)<\/li>\r\n \t
    4. \\(3 ( 2 + 4 ) - ( 2 \\cdot 4 ) \\)<\/li>\r\n \t
    5. \\(- | -5 + 8|\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n
        \r\n \t
      1. Solve for \\(x\\) in the equation \\(2(x - 4) + 18 = -12 + 4(x + 3).\\)<\/li>\r\n \t
      2. Isolate the variable \\(r_1\\) in the equation \\(\\dfrac{1}{R}-\\dfrac{1}{r_1} = \\dfrac{1}{r_2}.\\)<\/li>\r\n \t
      3. Solve for \\(x\\) in the equation \\(\\dfrac{x}{12} - \\dfrac{x-4}{3}=\\dfrac{2}{3}.\\)<\/li>\r\n \t
      4. Find the equation of the horizontal line that passes through the point \\((-4, -6).\\)<\/li>\r\n \t
      5. Find the equation that has a slope of \\(\\dfrac{2}{5}\\) and passes through the point \\((-1, 1).\\)<\/li>\r\n \t
      6. Find the equation of the line passing through the points \\((0, -1)\\) and \\((2, 5).\\)<\/li>\r\n \t
      7. Graph the relation \\(y=\\dfrac{2}{3}x + 1.\\)<\/li>\r\n<\/ol>\r\nFor questions 9 to 11, find each solution set and graph it.\r\n
          \r\n \t
        1. \\(-20 \\le 8x - 4 \\le 28\\)<\/li>\r\n \t
        2. \\(\\left| \\dfrac{2x+2}{6} \\right| \\le 2\\)<\/li>\r\n \t
        3. \\(\\left| \\dfrac{3x-4}{5}\\right| >1\\)<\/li>\r\n \t
        4. Graph \\(3x - 2y < 12.\\)<\/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. \\(y\\) varies jointly with \\(m\\) and inversely with the square of \\(n.\\) If \\(y = 12\\) when \\(m = 3\\) and \\(n = 4,\\) find the constant \\(k,\\) then use \\(k\\) to find \\(y\\) when \\(m = 3\\) and \\(n = -3.\\)<\/li>\r\n<\/ol>\r\nMidterm 1: Version E Answer Key<\/a>","rendered":"

          <\/p>\n

            \n
          1. Simplify the following:\n
              \n
            1. \"-(3)^2\"<\/li>\n
            2. \"(- 3)^2\"<\/li>\n
            3. \"- 3^2\"<\/li>\n
            4. \"3 ( 2 + 4 ) - ( 2 \cdot 4 )\"<\/li>\n
            5. \"- | -5 + 8|\"<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n
                \n
              1. Solve for \"x\" in the equation \"2(x - 4) + 18 = -12 + 4(x + 3).\"<\/li>\n
              2. Isolate the variable \"r_1\" in the equation \"\dfrac{1}{R}-\dfrac{1}{r_1} = \dfrac{1}{r_2}.\"<\/li>\n
              3. Solve for \"x\" in the equation \"\dfrac{x}{12} - \dfrac{x-4}{3}=\dfrac{2}{3}.\"<\/li>\n
              4. Find the equation of the horizontal line that passes through the point \"(-4, -6).\"<\/li>\n
              5. Find the equation that has a slope of \"\dfrac{2}{5}\" and passes through the point \"(-1, 1).\"<\/li>\n
              6. Find the equation of the line passing through the points \"(0, -1)\" and \"(2, 5).\"<\/li>\n
              7. Graph the relation \"y=\dfrac{2}{3}x + 1.\"<\/li>\n<\/ol>\n

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

                  \n
                1. \"-20 \le 8x - 4 \le 28\"<\/li>\n
                2. \"\left| \dfrac{2x+2}{6} \right| \le 2\"<\/li>\n
                3. \"\left| \dfrac{3x-4}{5}\right| >1\"<\/li>\n
                4. Graph \"3x - 2y < 12.\"<\/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. \"y\" varies jointly with \"m\" and inversely with the square of \"n.\" If \"y = 12\" when \"m = 3\" and \"n = 4,\" find the constant \"k,\" then use \"k\" to find \"y\" when \"m = 3\" and \"n = -3.\"<\/li>\n<\/ol>\n

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