{"id":1570,"date":"2021-12-02T19:38:33","date_gmt":"2021-12-03T00:38:33","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/final-exam-preparation\/"},"modified":"2023-08-31T19:46:15","modified_gmt":"2023-08-31T23:46:15","slug":"final-exam-version-b","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/final-exam-version-b\/","title":{"raw":"Final Exam: Version B","rendered":"Final Exam: Version B"},"content":{"raw":"

Questions from Chapters 1 to 3<\/h1>\r\n
    \r\n \t
  1. Evaluate [latex]-2b-\\sqrt{b^2-4ac}[\/latex] if [latex]a=4,[\/latex] [latex]b=-3[\/latex] and [latex]c=-1[\/latex].<\/li>\r\n<\/ol>\r\nFor problems 2 and 3, solve for [latex]x.[\/latex]\r\n
      \r\n \t
    1. [latex]6(3x - 5) = 3\\left[4(1 - x) - 7\\right][\/latex]<\/li>\r\n \t
    2. [latex]\\dfrac{x+4}{2}-\\dfrac{1}{3}=\\dfrac{x+2}{6}[\/latex]<\/li>\r\n \t
    3. Find the equation that has a slope of [latex]\\dfrac{2}{3}[\/latex] 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 [latex]3x - 2y = 6[\/latex].<\/li>\r\n<\/ol>\r\nFor problems 7 and 8, find the solution set and graph it.\r\n
        \r\n \t
      1. [latex]3 \\le 6x + 3 < 9[\/latex]<\/li>\r\n \t
      2. [latex]\\left|\\dfrac{3x+1}{4}\\right|=2[\/latex]<\/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<\/h1>\r\nFor problems 1\u20133, find the solution set of each system by any convenient method.\r\n
            \r\n \t
          1. [latex]\\left\\{\r\n\\begin{array}{l}\r\n4x - 3y = 13 \\\\\r\n6x + 5y = -9\r\n\\end{array}\\right.[\/latex]<\/li>\r\n \t
          2. [latex]\\left\\{\r\n\\begin{array}{l}\r\n3x-4y=-5 \\\\\r\n\\phantom{3}x+\\phantom{4}y=-1\r\n\\end{array}\\right.[\/latex]<\/li>\r\n \t
          3. [latex]\\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.[\/latex]<\/li>\r\n<\/ol>\r\nFor problems 4\u20136, perform the indicated operations and simplify.\r\n
              \r\n \t
            1. [latex]28 - \\{5x^0 - \\left[6x - 3(5 - 2x)\\right]^0\\} + 5x^0[\/latex]<\/li>\r\n \t
            2. [latex](x^2 - 3x + 8)(x - 4)[\/latex]<\/li>\r\n \t
            3. [latex]\\left(\\dfrac{x^{3n}x^{-6}}{x^{3n}}\\right)^{-1}[\/latex]<\/li>\r\n<\/ol>\r\nFor problems 7 and 8, factor each expression completely.\r\n
                \r\n \t
              1. [latex]25y^3 - 15y^2 + 5y[\/latex]<\/li>\r\n \t
              2. [latex]x^3 + 8y^3[\/latex]<\/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 [latex]\\$1.85.[\/latex] 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<\/h1>\r\nIn problems 1\u20133, perform the indicated operations and simplify.\r\n
                  \r\n \t
                1. [latex]\\dfrac{9s^2}{7y^3}\\cdot \\dfrac{15t}{13s^2}\\cdot \\dfrac{26s}{9t}[\/latex]<\/li>\r\n \t
                2. [latex]\\dfrac{2a}{a^2-36}-\\dfrac{5}{a^2-7a+6}[\/latex]<\/li>\r\n \t
                3. [latex]\\dfrac{1-\\dfrac{8}{x}}{\\dfrac{3}{x}-\\dfrac{24}{x^2}}[\/latex]<\/li>\r\n<\/ol>\r\nFor questions 4\u20136, simplify each expression.\r\n
                    \r\n \t
                  1. [latex]\\sqrt{x^5y^7}+2xy\\sqrt{16xy^3}-\\sqrt{xy^3}[\/latex]<\/li>\r\n \t
                  2. [latex]\\dfrac{2+x}{1-\\sqrt{7}}[\/latex]<\/li>\r\n \t
                  3. [latex]\\left(\\dfrac{a^6b^3}{c^0d^{-9}}\\right)^{\\frac{2}{3}}[\/latex]<\/li>\r\n<\/ol>\r\nFor questions 7 and 8, solve [latex]x[\/latex] by any convenient method.\r\n
                      \r\n \t
                    1. [latex]x^2 - 2x - 15 = 0[\/latex]<\/li>\r\n \t
                    2. [latex]\\dfrac{2x-1}{3x}=\\dfrac{x-3}{x}[\/latex]<\/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<\/h1>\n
                          \n
                        1. Evaluate [latex]-2b-\\sqrt{b^2-4ac}[\/latex] if [latex]a=4,[\/latex] [latex]b=-3[\/latex] and [latex]c=-1[\/latex].<\/li>\n<\/ol>\n

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

                            \n
                          1. [latex]6(3x - 5) = 3\\left[4(1 - x) - 7\\right][\/latex]<\/li>\n
                          2. [latex]\\dfrac{x+4}{2}-\\dfrac{1}{3}=\\dfrac{x+2}{6}[\/latex]<\/li>\n
                          3. Find the equation that has a slope of [latex]\\dfrac{2}{3}[\/latex] 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 [latex]3x - 2y = 6[\/latex].<\/li>\n<\/ol>\n

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

                              \n
                            1. [latex]3 \\le 6x + 3 < 9[\/latex]<\/li>\n
                            2. [latex]\\left|\\dfrac{3x+1}{4}\\right|=2[\/latex]<\/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<\/h1>\n

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

                                  \n
                                1. [latex]\\left\\{ \\begin{array}{l} 4x - 3y = 13 \\\\ 6x + 5y = -9 \\end{array}\\right.[\/latex]<\/li>\n
                                2. [latex]\\left\\{ \\begin{array}{l} 3x-4y=-5 \\\\ \\phantom{3}x+\\phantom{4}y=-1 \\end{array}\\right.[\/latex]<\/li>\n
                                3. [latex]\\left\\{ \\begin{array}{l} x+2y\\phantom{-2z}=0 \\\\ \\phantom{x+}\\phantom{2}y-2z=0 \\\\ x\\phantom{+2y}-4z=0 \\end{array}\\right.[\/latex]<\/li>\n<\/ol>\n

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

                                    \n
                                  1. [latex]28 - \\{5x^0 - \\left[6x - 3(5 - 2x)\\right]^0\\} + 5x^0[\/latex]<\/li>\n
                                  2. [latex](x^2 - 3x + 8)(x - 4)[\/latex]<\/li>\n
                                  3. [latex]\\left(\\dfrac{x^{3n}x^{-6}}{x^{3n}}\\right)^{-1}[\/latex]<\/li>\n<\/ol>\n

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

                                      \n
                                    1. [latex]25y^3 - 15y^2 + 5y[\/latex]<\/li>\n
                                    2. [latex]x^3 + 8y^3[\/latex]<\/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 [latex]\\$1.85.[\/latex] 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<\/h1>\n

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

                                        \n
                                      1. [latex]\\dfrac{9s^2}{7y^3}\\cdot \\dfrac{15t}{13s^2}\\cdot \\dfrac{26s}{9t}[\/latex]<\/li>\n
                                      2. [latex]\\dfrac{2a}{a^2-36}-\\dfrac{5}{a^2-7a+6}[\/latex]<\/li>\n
                                      3. [latex]\\dfrac{1-\\dfrac{8}{x}}{\\dfrac{3}{x}-\\dfrac{24}{x^2}}[\/latex]<\/li>\n<\/ol>\n

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

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

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

                                            \n
                                          1. [latex]x^2 - 2x - 15 = 0[\/latex]<\/li>\n
                                          2. [latex]\\dfrac{2x-1}{3x}=\\dfrac{x-3}{x}[\/latex]<\/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":90,"menu_order":2,"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-1570","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1566,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1570","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\/1570\/revisions"}],"predecessor-version":[{"id":2185,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1570\/revisions\/2185"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1566"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1570\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1570"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1570"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1570"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1570"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}