{"id":3262,"date":"2019-11-19T14:29:51","date_gmt":"2019-11-19T19:29:51","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=3262"},"modified":"2019-12-29T19:46:36","modified_gmt":"2019-12-30T00:46:36","slug":"midterm-two-version-e-answer-key","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/midterm-two-version-e-answer-key\/","title":{"raw":"Midterm 2: Version E Answer Key","rendered":"Midterm 2: Version E Answer Key"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \r\n\r\n\r\n\r\n\r\n
    \\(x-y=-3\\)<\/caption>\r\n
    \\(x\\)<\/th>\r\n\\(y\\)<\/th>\r\n<\/tr>\r\n
    0<\/td>\r\n3<\/td>\r\n<\/tr>\r\n
    \u22123<\/td>\r\n0<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n
    \\(x+2y=3\\)<\/caption>\r\n
    \\(x\\)<\/th>\r\n\\(y\\)<\/th>\r\n<\/tr>\r\n
    3<\/td>\r\n0<\/td>\r\n<\/tr>\r\n
    0<\/td>\r\n\\(\\dfrac{3}{2}\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\"Graph<\/li>\r\n \t
  2. \\(\\begin{array}{rrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&(2x&-&5y&=&-2)(-3) \\\\\r\n&(3x&-&4y&=&\\phantom{-}4)(2) \\\\ \\\\\r\n&-6x&+&15y&=&6 \\\\\r\n+&6x&-&8y&=&8 \\\\\r\n\\midrule\r\n&&&7y&=&14 \\\\\r\n&&&y&=&2 \\\\ \\\\\r\n&2x&-&5(2)&=&-2 \\\\\r\n&2x&-&10&=&-2 \\\\\r\n&&+&10&&+10 \\\\\r\n\\midrule\r\n&&&2x&=&8 \\\\\r\n&&&x&=&4\r\n\\end{array}\\)\r\n\\((4,2)\\)<\/li>\r\n \t
  3. \\(\\begin{array}{rrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&(4x&+&3y&=&-29)(-2) \\\\\r\n&(3x&+&2y&=&-21)(3) \\\\ \\\\\r\n&-8x&-&6y&=&\\phantom{-}58 \\\\\r\n+&9x&+&6y&=&-63 \\\\\r\n\\midrule\r\n&&&x&=&-5 \\\\ \\\\\r\n&3(-5)&+&2y&=&-21 \\\\\r\n&-15&+&2y&=&-21 \\\\\r\n+&15&&&&+15 \\\\\r\n\\midrule\r\n&&&2y&=&-6 \\\\\r\n&&&y&=&-3\r\n\\end{array}\\)\r\n\\((-5,-3)\\)<\/li>\r\n \t
  4. \\(\\begin{array}{ll}\r\n\\begin{array}{rrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&(x&+&y&-&3z&=&0)(-2) \\\\ \\\\\r\n&-2x&-&2y&+&6z&=&0 \\\\\r\n+&2x&-&3y&&&=&16 \\\\\r\n\\midrule\r\n&&&-5y&+&6z&=&16 \\\\ \\\\\r\n&&&(2y&-&2z&=&-12)(3) \\\\ \\\\\r\n&&&6y&-&6z&=&-36 \\\\\r\n+&&&-5y&+&6z&=&\\phantom{-}16 \\\\\r\n\\midrule\r\n&&&&&y&=&-20\r\n\\end{array}\r\n& \\hspace{0.25in}\r\n\\begin{array}{rrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n2x&-&3y&=&16 \\\\\r\n2x&-&3(-20)&=&16 \\\\\r\n2x&+&60&=&16 \\\\\r\n&&-60&&-60 \\\\\r\n\\midrule\r\n&&2x&=&-44 \\\\\r\n&&x&=&-22 \\\\ \\\\\r\n2y&-&2z&=&-12 \\\\\r\n2(-20)&-&2z&=&-12 \\\\\r\n-40&-&2z&=&-12 \\\\\r\n+40&&&&+40 \\\\\r\n\\midrule\r\n&&-2z&=&28 \\\\\r\n&&z&=&-14\r\n\\end{array}\r\n\\end{array}\\)\r\n\\((-22,-20,-14)\\)<\/li>\r\n \t
  5. \\(5-4\\left[2x-2\\cancel{(6x-5)^0}1-(7-2x)\\right]\\)\r\n\\(5-4\\left[2x-2(1)-7+2x\\right]\\)\r\n\\(5-4\\left[4x-9\\right]\\)\r\n\\(5-16x+36\\)\r\n\\(-16x+41\\)<\/li>\r\n \t
  6. \\(3ab^4(a^2-25)\\)\r\n\\(3a^3b^4-75ab^4\\)<\/li>\r\n \t
  7. \\(\\begin{array}{rrrrrlrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&x^2&+&3x&-&6&&&& \\\\\r\n\\times &x^2&+&3x&-&6&&&& \\\\\r\n\\midrule\r\n&x^4&+&3x^3&-&6x^2&&&& \\\\\r\n&&&3x^3&+&9x^2&-&18x&& \\\\\r\n+&&&&-&6x^2&-&18x&+&36 \\\\\r\n\\midrule\r\n&x^4&+&6x^3&-&3x^2&-&36x&+&36\r\n\\end{array}\\)<\/li>\r\n \t
  8. \\(\\polylongdiv{3x^3+18+7x^2}{x+3}\\)<\/li>\r\n \t
  9. \\(x^2-3z+7x-21\\)\r\n\\(x(x-3)+7(x-3)\\)\r\n\\((x-3)(x+7)\\)<\/li>\r\n \t
  10. \\(4x^2(x+1)-9(x+1)\\)\r\n\\((x+1)(4x^2-9)\\)\r\n\\((x+1)(2x-3)(2x+3)\\)<\/li>\r\n \t
  11. \\((2x)^3-(3y)^3\\)\r\n\\((2x-3y)(4x^2+6xy+9y^2)\\)<\/li>\r\n \t
  12. \\(x^4-625x^2+x^2-625\\)\r\n\\(x^2(x^2-625)+1(x^2-625)\\)\r\n\\((x^2+1)(x^2-625)\\)\r\n\\((x^2+1)(x-25)(x+25)\\)<\/li>\r\n \t
  13. \\(\\phantom{1}\\)\r\n\\(B+G=20\\Rightarrow B=20-G \\\\ \\)\r\n\\(\\begin{array}{rrrrrrrrrl}\r\n&G&-&4&=&2(B&-&4)&& \\\\\r\n&G&-&4&=&2B&-&8&& \\\\ \\\\\r\n&G&-&4&=&2(20&-&G)&-&8 \\\\\r\n&G&-&4&=&40&-&2G&-&8 \\\\\r\n&G&-&4&=&32&-&2G&& \\\\\r\n+&2G&+&4&&4&+&2G&& \\\\\r\n\\midrule\r\n&&&3G&=&36&&&& \\\\\r\n&&&G&=&12&&&& \\\\ \\\\\r\n&&&B&=&20&-&G&& \\\\\r\n&&&B&=&20&-&12&=&8 \\\\\r\n\\end{array}\\)<\/li>\r\n \t
  14. \\(\\phantom{1}\\)\r\n\\(x=16\\%\\text{ solution} \\\\ \\)\r\n\\(\\begin{array}{rrrrrrrr}\r\n&16x&+&6(20)&=&12(x&+&20) \\\\\r\n&16x&+&120&=&12x&+&240 \\\\\r\n-&12x&-&120&&-12x&-&120 \\\\\r\n\\midrule\r\n&&&4x&=&120&& \\\\ \\\\\r\n&&&x&=&\\dfrac{120}{4}&=&30\\text{ ml} \\\\\r\n\\end{array}\\)<\/li>\r\n \t
  15. \\(\\begin{array}{rrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&(C&+&R&=&60)(-3.40) \\\\ \\\\\r\n&-3.40C&-&3.40R&=&-204 \\\\\r\n+&3.40C&+&3.90R&=&\\phantom{-}213\\\\\r\n\\midrule\r\n&&&0.50R&=&\\phantom{-}9 \\\\ \\\\\r\n&&&R&=&\\dfrac{9}{0.50}\\text{ or 18 kg} \\\\ \\\\\r\n&C&+&R&=&\\phantom{-}60 \\\\\r\n&C&+&18&=&\\phantom{-}60 \\\\\r\n&&-&18&&-18 \\\\\r\n\\midrule\r\n&&&C&=&\\phantom{-}42\\text{ kg}\r\n\\end{array}\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \n\n\n\n\n\n
      \"x-y=-3\"<\/caption>\n
      \"x\"<\/th>\n\"y\"<\/th>\n<\/tr>\n
      0<\/td>\n3<\/td>\n<\/tr>\n
      \u22123<\/td>\n0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n
      \"x+2y=3\"<\/caption>\n
      \"x\"<\/th>\n\"y\"<\/th>\n<\/tr>\n
      3<\/td>\n0<\/td>\n<\/tr>\n
      0<\/td>\n\"\dfrac{3}{2}\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"Graph<\/li>\n

    2. \"\begin{array}{rrrrrl}
      \n\"(4,2)\"<\/li>\n
    3. \"\begin{array}{rrrrrl}
      \n\"(-5,-3)\"<\/li>\n
    4. \"\begin{array}{ll}
      \n\"(-22,-20,-14)\"<\/li>\n
    5. \"5-4\left[2x-2\cancel{(6x-5)^0}1-(7-2x)\right]\"
      \n\"5-4\left[2x-2(1)-7+2x\right]\"
      \n\"5-4\left[4x-9\right]\"
      \n\"5-16x+36\"
      \n\"-16x+41\"<\/li>\n
    6. \"3ab^4(a^2-25)\"
      \n\"3a^3b^4-75ab^4\"<\/li>\n
    7. \"\begin{array}{rrrrrlrrrr}<\/li>\n
    8. \"\polylongdiv{3x^3+18+7x^2}{x+3}\"<\/li>\n
    9. \"x^2-3z+7x-21\"
      \n\"x(x-3)+7(x-3)\"
      \n\"(x-3)(x+7)\"<\/li>\n
    10. \"4x^2(x+1)-9(x+1)\"
      \n\"(x+1)(4x^2-9)\"
      \n\"(x+1)(2x-3)(2x+3)\"<\/li>\n
    11. \"(2x)^3-(3y)^3\"
      \n\"(2x-3y)(4x^2+6xy+9y^2)\"<\/li>\n
    12. \"x^4-625x^2+x^2-625\"
      \n\"x^2(x^2-625)+1(x^2-625)\"
      \n\"(x^2+1)(x^2-625)\"
      \n\"(x^2+1)(x-25)(x+25)\"<\/li>\n
    13. \"\phantom{1}\"
      \n\"B+G=20\Rightarrow B=20-G \\\"
      \n\"\begin{array}{rrrrrrrrrl}<\/li>\n
    14. \"\phantom{1}\"
      \n\"x=16\%\text{ solution} \\\"
      \n\"\begin{array}{rrrrrrrr}<\/li>\n
    15. \"\begin{array}{rrrrrl}<\/li>\n<\/ol>\n","protected":false},"author":14,"menu_order":68,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-3262","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/3262","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/14"}],"version-history":[{"count":7,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/3262\/revisions"}],"predecessor-version":[{"id":3747,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/3262\/revisions\/3747"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/3262\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=3262"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=3262"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=3262"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=3262"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}