{"id":3358,"date":"2019-11-19T15:28:50","date_gmt":"2019-11-19T20:28:50","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=3358"},"modified":"2019-11-22T18:49:47","modified_gmt":"2019-11-22T23:49:47","slug":"final-exam-version-a","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/final-exam-version-a\/","title":{"raw":"Final Exam: Version A","rendered":"Final Exam: Version A"},"content":{"raw":"[latexpage]\r\n

Questions from Chapters 1 to 3<\/h2>\r\n
    \r\n \t
  1. Evaluate \\(-b-\\sqrt{b^2-4ac}\\) if \\(a=4,\\) \\(b=6\\) and \\(c=2\\).<\/li>\r\n<\/ol>\r\nFor problems 2 and 3, solve for \\(x\\).\r\n
      \r\n \t
    1. \\(6(x + 4) = 5(7 - x) - 4( 2 - 3x)\\)<\/li>\r\n \t
    2. \\(\\dfrac{x+4}{2}-\\dfrac{1}{2}=\\dfrac{x+2}{4}\\)<\/li>\r\n \t
    3. Write an equation of the vertical line that passes through the point (\u22122, \u22123).<\/li>\r\n \t
    4. Find the distance between the points (\u22124, \u22122) and (2, 6).<\/li>\r\n \t
    5. Graph the relation \\(2x - 3y = 6\\).<\/li>\r\n<\/ol>\r\nFor problems 7 and 8, find the solution set and graph it.\r\n
        \r\n \t
      1. \\(x - 2 ( x - 5 ) \\le 3 ( 6 + x )\\)<\/li>\r\n \t
      2. \\(\\left|\\dfrac{3x-2}{7}\\right|<1\\)<\/li>\r\n<\/ol>\r\nIn problems 9 and 10, set up each problem algebraically and solve. Be sure to state what your variables represent.\r\n
          \r\n \t
        1. The time \\((t)\\) required to empty a tank varies inversely to the rate of pumping \\((r).\\) If a pump can empty a tank in 45 minutes at the rate of 600 kL\/min, how much time will it take the pump to empty the same tank at the rate of 1000 kL\/min?<\/li>\r\n \t
        2. Find two consecutive odd integers such that their sum is 12 less than four times the first integer.<\/li>\r\n<\/ol>\r\n

          Questions from Chapters 4 to 6<\/h2>\r\nFor problems 1\u20133, find the solution set of each system by any convenient method.\r\n
            \r\n \t
          1. \\(\\left\\{\r\n\\begin{array}{l}\r\n2x + 5y = -18 \\\\\r\n\\phantom{2}y - 6\\phantom{y} = \\phantom{-}2x\r\n\\end{array}\\right.\\)<\/li>\r\n \t
          2. \\(\\left\\{\r\n\\begin{array}{l}\r\n8x+7y=51 \\\\\r\n5x+2y=20\r\n\\end{array}\\right.\\)<\/li>\r\n \t
          3. \\(\\left\\{\r\n\\begin{array}{l}\r\n\\phantom{2}x+y+6z=5 \\\\\r\n2x\\phantom{+3y}-3z=4 \\\\\r\n\\phantom{2x+}3y+4z=9\r\n\\end{array}\\right.\\)<\/li>\r\n<\/ol>\r\nFor problems 4\u20136, perform the indicated operations and simplify.\r\n
              \r\n \t
            1. \\(24 + \\{-3x - \\left[6x - 3(5 - 2x)]^0\\} + 3x\\)<\/li>\r\n \t
            2. \\(2ab^3 (a - 4)(a + 4)\\)<\/li>\r\n \t
            3. \\(\\left(\\dfrac{xy^{-3}}{x^{-2}y^4}\\right)^{-1}\\)<\/li>\r\n<\/ol>\r\nFor problems 7 and 8, factor each expression completely.\r\n
                \r\n \t
              1. \\(3x^2 +11x + 8\\)<\/li>\r\n \t
              2. \\(64x^3 - y^3\\)<\/li>\r\n \t
              3. A 50 kg mixture of two different grades of coffee costs \\(\\$191.25.\\) If grade A is worth \\(\\$3.95\\) per kg and grade B is worth \\(\\$3.70\\) per kg, how many kg of each type were used?<\/li>\r\n \t
              4. Kyra gave her brother Mark a logic question to solve: If she has 16 coins in her pocket worth \\(\\$2.35,\\) and if the coins are only dimes and quarters, how many of each kind of coin does she have?<\/li>\r\n<\/ol>\r\n

                Questions from Chapters 7 to 9<\/h2>\r\nIn problems 1\u20133, perform the indicated operations and simplify.\r\n
                  \r\n \t
                1. \\(\\dfrac{15s^3}{3t^2}\\div \\dfrac{5t}{17s^3}\\div \\dfrac{34s^4}{3t^3}\\)<\/li>\r\n \t
                2. \\(\\dfrac{2x}{x-2}-\\dfrac{4x}{x-2}+\\dfrac{20}{x^2-4}\\)<\/li>\r\n \t
                3. \\(\\dfrac{\\dfrac{x^2}{y^2}-9}{\\dfrac{x+3y}{y^3}}\\)<\/li>\r\n<\/ol>\r\nFor questions 4\u20136, simplify each expression.\r\n
                    \r\n \t
                  1. \\(3\\sqrt{25x}-2\\sqrt{72x}-\\sqrt{16x^3}\\)<\/li>\r\n \t
                  2. \\(\\dfrac{\\sqrt{m^6n}}{\\sqrt{3n}}\\)<\/li>\r\n \t
                  3. \\(\\left(\\dfrac{a^0b^4}{c^8d^{-12}}\\right)^{\\frac{1}{4}}\\)<\/li>\r\n<\/ol>\r\nFor questions 7 and 8, solve \\(x\\) by any convenient method.\r\n
                      \r\n \t
                    1. \\(x^2 - 4x - 5 = 0\\)<\/li>\r\n \t
                    2. \\(\\dfrac{x-3}{x}=\\dfrac{x}{x-3}\\)<\/li>\r\n<\/ol>\r\nIn problems 9 and 10, find the solution set of each system by any convenient method.\r\n
                        \r\n \t
                      1. The base of a right triangle is 6 cm longer than its height. If the area of this triangle is 20 cm2<\/sup>, find the length of both the base and the height.<\/li>\r\n \t
                      2. Find three consecutive even integers such that the product of the first two is 8 more than six times the third number.<\/li>\r\n<\/ol>\r\nFinal Exam: Version A Answer Key<\/a>\r\n

                        <\/h1>","rendered":"

                        Questions from Chapters 1 to 3<\/h2>\n
                          \n
                        1. Evaluate \"-b-\sqrt{b^2-4ac}\" if \"a=4,\" \"b=6\" and \"c=2\".<\/li>\n<\/ol>\n

                          For problems 2 and 3, solve for \"x\".<\/p>\n

                            \n
                          1. \"6(x + 4) = 5(7 - x) - 4( 2 - 3x)\"<\/li>\n
                          2. \"\dfrac{x+4}{2}-\dfrac{1}{2}=\dfrac{x+2}{4}\"<\/li>\n
                          3. Write an equation of the vertical line that passes through the point (\u22122, \u22123).<\/li>\n
                          4. Find the distance between the points (\u22124, \u22122) and (2, 6).<\/li>\n
                          5. Graph the relation \"2x - 3y = 6\".<\/li>\n<\/ol>\n

                            For problems 7 and 8, find the solution set and graph it.<\/p>\n

                              \n
                            1. \"x - 2 ( x - 5 ) \le 3 ( 6 + x )\"<\/li>\n
                            2. \"\left|\dfrac{3x-2}{7}\right|<1\"<\/li>\n<\/ol>\n

                              In problems 9 and 10, set up each problem algebraically and solve. Be sure to state what your variables represent.<\/p>\n

                                \n
                              1. The time \"(t)\" required to empty a tank varies inversely to the rate of pumping \"(r).\" If a pump can empty a tank in 45 minutes at the rate of 600 kL\/min, how much time will it take the pump to empty the same tank at the rate of 1000 kL\/min?<\/li>\n
                              2. Find two consecutive odd integers such that their sum is 12 less than four times the first integer.<\/li>\n<\/ol>\n

                                Questions from Chapters 4 to 6<\/h2>\n

                                For problems 1\u20133, find the solution set of each system by any convenient method.<\/p>\n

                                  \n
                                1. \"\left\{<\/li>\n
                                2. \"\left\{<\/li>\n
                                3. \"\left\{<\/li>\n<\/ol>\n

                                  For problems 4\u20136, perform the indicated operations and simplify.<\/p>\n

                                    \n
                                  1. \"24 + \{-3x - \left[6x - 3(5 - 2x)]^0\} + 3x\"<\/li>\n
                                  2. \"2ab^3 (a - 4)(a + 4)\"<\/li>\n
                                  3. \"\left(\dfrac{xy^{-3}}{x^{-2}y^4}\right)^{-1}\"<\/li>\n<\/ol>\n

                                    For problems 7 and 8, factor each expression completely.<\/p>\n

                                      \n
                                    1. \"3x^2 +11x + 8\"<\/li>\n
                                    2. \"64x^3 - y^3\"<\/li>\n
                                    3. A 50 kg mixture of two different grades of coffee costs \"\$191.25.\" If grade A is worth \"\$3.95\" per kg and grade B is worth \"\$3.70\" per kg, how many kg of each type were used?<\/li>\n
                                    4. Kyra gave her brother Mark a logic question to solve: If she has 16 coins in her pocket worth \"\$2.35,\" and if the coins are only dimes and quarters, how many of each kind of coin does she have?<\/li>\n<\/ol>\n

                                      Questions from Chapters 7 to 9<\/h2>\n

                                      In problems 1\u20133, perform the indicated operations and simplify.<\/p>\n

                                        \n
                                      1. \"\dfrac{15s^3}{3t^2}\div \dfrac{5t}{17s^3}\div \dfrac{34s^4}{3t^3}\"<\/li>\n
                                      2. \"\dfrac{2x}{x-2}-\dfrac{4x}{x-2}+\dfrac{20}{x^2-4}\"<\/li>\n
                                      3. \"\dfrac{\dfrac{x^2}{y^2}-9}{\dfrac{x+3y}{y^3}}\"<\/li>\n<\/ol>\n

                                        For questions 4\u20136, simplify each expression.<\/p>\n

                                          \n
                                        1. \"3\sqrt{25x}-2\sqrt{72x}-\sqrt{16x^3}\"<\/li>\n
                                        2. \"\dfrac{\sqrt{m^6n}}{\sqrt{3n}}\"<\/li>\n
                                        3. \"\left(\dfrac{a^0b^4}{c^8d^{-12}}\right)^{\frac{1}{4}}\"<\/li>\n<\/ol>\n

                                          For questions 7 and 8, solve \"x\" by any convenient method.<\/p>\n

                                            \n
                                          1. \"x^2 - 4x - 5 = 0\"<\/li>\n
                                          2. \"\dfrac{x-3}{x}=\dfrac{x}{x-3}\"<\/li>\n<\/ol>\n

                                            In problems 9 and 10, find the solution set of each system by any convenient method.<\/p>\n

                                              \n
                                            1. The base of a right triangle is 6 cm longer than its height. If the area of this triangle is 20 cm2<\/sup>, find the length of both the base and the height.<\/li>\n
                                            2. Find three consecutive even integers such that the product of the first two is 8 more than six times the third number.<\/li>\n<\/ol>\n

                                              Final Exam: Version A Answer Key<\/a><\/p>\n

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