{"id":87,"date":"2019-02-27T14:01:46","date_gmt":"2019-02-27T19:01:46","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=chapter&p=87"},"modified":"2019-11-22T18:50:16","modified_gmt":"2019-11-22T23:50:16","slug":"final-exam-preparation","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/chapter\/final-exam-preparation\/","title":{"raw":"Final Exam: Version B","rendered":"Final Exam: Version B"},"content":{"raw":"[latexpage]\r\n

Questions from Chapters 1 to 3<\/h2>\r\n
    \r\n \t
  1. Evaluate \\(-2b-\\sqrt{b^2-4ac}\\) if \\(a=4,\\) \\(b=-3\\) and \\(c=-1\\).<\/li>\r\n<\/ol>\r\nFor problems 2 and 3, solve for \\(x.\\)\r\n
      \r\n \t
    1. \\(6(3x - 5) = 3\\left[4(1 - x) - 7\\right]\\)<\/li>\r\n \t
    2. \\(\\dfrac{x+4}{2}-\\dfrac{1}{3}=\\dfrac{x+2}{6}\\)<\/li>\r\n \t
    3. Find the equation that has a slope of \\(\\dfrac{2}{3}\\) and passes through the point (1, 4).<\/li>\r\n \t
    4. Find the distance between the points (\u22124, \u22122) and (4, 4).<\/li>\r\n \t
    5. Graph the relation \\(3x - 2y = 6\\).<\/li>\r\n<\/ol>\r\nFor problems 7 and 8, find the solution set and graph it.\r\n
        \r\n \t
      1. \\(3 \\le 6x + 3 < 9\\)<\/li>\r\n \t
      2. \\(\\left|\\dfrac{3x+1}{4}\\right|=2\\)<\/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 weight (wm<\/sub>) of an object on Mars varies directly with its weight (we<\/sub>) on Earth. A person who weighs 95 lb on Earth weighs 38 lb on Mars. How much would a 240 lb person weigh on Mars?<\/li>\r\n \t
        2. Find two consecutive even integers such that their sum is 20 less than the second 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\n4x - 3y = 13 \\\\\r\n6x + 5y = -9\r\n\\end{array}\\right.\\)<\/li>\r\n \t
          2. \\(\\left\\{\r\n\\begin{array}{l}\r\n3x-4y=-5 \\\\\r\n\\phantom{3}x+\\phantom{4}y=-1\r\n\\end{array}\\right.\\)<\/li>\r\n \t
          3. \\(\\left\\{\r\n\\begin{array}{l}\r\nx+2y\\phantom{-2z}=0 \\\\\r\n\\phantom{x+}\\phantom{2}y-2z=0 \\\\\r\nx\\phantom{+2y}-4z=0\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. \\(28 - \\{5x^0 - \\left[6x - 3(5 - 2x)\\right]^0\\} + 5x^0\\)<\/li>\r\n \t
            2. \\((x^2 - 3x + 8)(x - 4)\\)<\/li>\r\n \t
            3. \\(\\left(\\dfrac{x^{3n}x^{-6}}{x^{3n}}\\right)^{-1}\\)<\/li>\r\n<\/ol>\r\nFor problems 7 and 8, factor each expression completely.\r\n
                \r\n \t
              1. \\(25y^3 - 15y^2 + 5y\\)<\/li>\r\n \t
              2. \\(x^3 + 8y^3\\)<\/li>\r\n \t
              3. How many litres of club soda (carbonated water) must be added to 2 litres of 35% fruit juice to turn it into a carbonated drink diluted to 8% fruit juice?<\/li>\r\n \t
              4. Kyra has 14 coins with a total value of \\(\\$1.85.\\) If all the coins are 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{9s^2}{7y^3}\\cdot \\dfrac{15t}{13s^2}\\cdot \\dfrac{26s}{9t}\\)<\/li>\r\n \t
                2. \\(\\dfrac{2a}{a^2-36}-\\dfrac{5}{a^2-7a+6}\\)<\/li>\r\n \t
                3. \\(\\dfrac{1-\\dfrac{8}{x}}{\\dfrac{3}{x}-\\dfrac{24}{x^2}}\\)<\/li>\r\n<\/ol>\r\nFor questions 4\u20136, simplify each expression.\r\n
                    \r\n \t
                  1. \\(\\sqrt{x^5y^7}+2xy\\sqrt{16xy^3}-\\sqrt{xy^3}\\)<\/li>\r\n \t
                  2. \\(\\dfrac{2+x}{1-\\sqrt{7}}\\)<\/li>\r\n \t
                  3. \\(\\left(\\dfrac{a^6b^3}{c^0d^{-9}}\\right)^{\\frac{2}{3}}\\)<\/li>\r\n<\/ol>\r\nFor questions 7 and 8, solve \\(x\\) by any convenient method.\r\n
                      \r\n \t
                    1. \\(x^2 - 2x - 15 = 0\\)<\/li>\r\n \t
                    2. \\(\\dfrac{2x-1}{3x}=\\dfrac{x-3}{x}\\)<\/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 length of a rectangle is 5 cm longer than twice the width. If the area of the rectangle is 75 cm2<\/sup>, find its length and width.<\/li>\r\n \t
                      2. Find three consecutive odd integers such that the product of the first and the second is 25 less than 8 times the third.<\/li>\r\n<\/ol>\r\nFinal Exam: Version B<\/a>","rendered":"

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

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

                            \n
                          1. \"6(3x - 5) = 3\left[4(1 - x) - 7\right]\"<\/li>\n
                          2. \"\dfrac{x+4}{2}-\dfrac{1}{3}=\dfrac{x+2}{6}\"<\/li>\n
                          3. Find the equation that has a slope of \"\dfrac{2}{3}\" and passes through the point (1, 4).<\/li>\n
                          4. Find the distance between the points (\u22124, \u22122) and (4, 4).<\/li>\n
                          5. Graph the relation \"3x - 2y = 6\".<\/li>\n<\/ol>\n

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

                              \n
                            1. \"3 \le 6x + 3 < 9\"<\/li>\n
                            2. \"\left|\dfrac{3x+1}{4}\right|=2\"<\/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 weight (wm<\/sub>) of an object on Mars varies directly with its weight (we<\/sub>) on Earth. A person who weighs 95 lb on Earth weighs 38 lb on Mars. How much would a 240 lb person weigh on Mars?<\/li>\n
                              2. Find two consecutive even integers such that their sum is 20 less than the second 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. \"28 - \{5x^0 - \left[6x - 3(5 - 2x)\right]^0\} + 5x^0\"<\/li>\n
                                  2. \"(x^2 - 3x + 8)(x - 4)\"<\/li>\n
                                  3. \"\left(\dfrac{x^{3n}x^{-6}}{x^{3n}}\right)^{-1}\"<\/li>\n<\/ol>\n

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

                                      \n
                                    1. \"25y^3 - 15y^2 + 5y\"<\/li>\n
                                    2. \"x^3 + 8y^3\"<\/li>\n
                                    3. How many litres of club soda (carbonated water) must be added to 2 litres of 35% fruit juice to turn it into a carbonated drink diluted to 8% fruit juice?<\/li>\n
                                    4. Kyra has 14 coins with a total value of \"\$1.85.\" If all the coins are 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{9s^2}{7y^3}\cdot \dfrac{15t}{13s^2}\cdot \dfrac{26s}{9t}\"<\/li>\n
                                      2. \"\dfrac{2a}{a^2-36}-\dfrac{5}{a^2-7a+6}\"<\/li>\n
                                      3. \"\dfrac{1-\dfrac{8}{x}}{\dfrac{3}{x}-\dfrac{24}{x^2}}\"<\/li>\n<\/ol>\n

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

                                          \n
                                        1. \"\sqrt{x^5y^7}+2xy\sqrt{16xy^3}-\sqrt{xy^3}\"<\/li>\n
                                        2. \"\dfrac{2+x}{1-\sqrt{7}}\"<\/li>\n
                                        3. \"\left(\dfrac{a^6b^3}{c^0d^{-9}}\right)^{\frac{2}{3}}\"<\/li>\n<\/ol>\n

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

                                            \n
                                          1. \"x^2 - 2x - 15 = 0\"<\/li>\n
                                          2. \"\dfrac{2x-1}{3x}=\dfrac{x-3}{x}\"<\/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 length of a rectangle is 5 cm longer than twice the width. If the area of the rectangle is 75 cm2<\/sup>, find its length and width.<\/li>\n
                                            2. Find three consecutive odd integers such that the product of the first and the second is 25 less than 8 times the third.<\/li>\n<\/ol>\n

                                              Final Exam: Version B<\/a><\/p>\n","protected":false},"author":28,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-87","chapter","type-chapter","status-publish","hentry"],"part":402,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/87","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/28"}],"version-history":[{"count":8,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/87\/revisions"}],"predecessor-version":[{"id":3557,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/87\/revisions\/3557"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/402"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapters\/87\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=87"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/chapter-type?post=87"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=87"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=87"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}