{"id":1570,"date":"2019-07-25T18:55:16","date_gmt":"2019-07-25T22:55:16","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1570"},"modified":"2019-07-26T13:15:11","modified_gmt":"2019-07-26T17:15:11","slug":"answer-key-7-4","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-7-4\/","title":{"raw":"Answer Key 7.4","rendered":"Answer Key 7.4"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(-21\\times 2=-42\\)\r\n\\(-21+2=-19\\)\r\n\\(7x^2-21x+2x-6\\)\r\n\\(7x(x-3)+2(x-3)\\)\r\n\\((x-3)(7x+2)\\)<\/li>\r\n \t
  2. \\(-6\\times 4=-24\\)\r\n\\(-6+4=-2\\)\r\n\\(3n^2-6n+4n-8\\)\r\n\\(3n(n-2)+4(n-2)\\)\r\n\\((n-2)(3n+4)\\)<\/li>\r\n \t
  3. \\(14\\times 1=14\\)\r\n\\(14+1=15\\)\r\n\\(7b^2+14b+b+2\\)\r\n\\(7b(b+2)+1(b+2)\\)\r\n\\((b+2)(7b+1)\\)<\/li>\r\n \t
  4. \\(-14\\times 3=-42\\)\r\n\\(-14+3=-11\\)\r\n\\(21v^2-14v+3v-2\\)\r\n\\(7v(3v-2)+1(3v-2)\\)\r\n\\((3v-2)(7v+1)\\)<\/li>\r\n \t
  5. \\(15\\times -2=-30\\)\r\n\\(15+-2=13\\)\r\n\\(5a^2+15a-2a-6\\)\r\n\\(5a(a+3)-2(a+3)\\)\r\n\\((a+3)(5a-2)\\)<\/li>\r\n \t
  6. \\(-20\\times 2=-40\\)\r\n\\(-20+2=-18\\)\r\n\\(5n^2-20n+2n-8\\)\r\n\\(5n(n-4)+2(n-4)\\)\r\n\\((n-4)(5n+2)\\)<\/li>\r\n \t
  7. \\(-1\\times -4=4\\)\r\n\\(-1+-4=-5\\)\r\n\\(2x^2-x-4x+2\\)\r\n\\(x(2x-1)-2(2x-1)\\)\r\n\\((2x-1)(x-2)\\)<\/li>\r\n \t
  8. \\(-6\\times 2=-12\\)\r\n\\(-6+2=-4\\)\r\n\\(3r^2-6r+2r-4\\)\r\n\\(3r(r-2)+2(r-2)\\)\r\n\\((r-2)(3r+2)\\)<\/li>\r\n \t
  9. \\(14\\times 5=70\\)\r\n\\(14+5=19\\)\r\n\\(2x^2+14x+5x+35\\)\r\n\\(2x(x+7)+5(x+7)\\)\r\n\\((x+7)(2x+5)\\)<\/li>\r\n \t
  10. \\(9\\times -5=-45\\)\r\n\\(9+-5=4\\)\r\n\\(3x^2+9x-5x-15\\)\r\n\\(3x(x+3)-5(x+3)\\)\r\n\\((x+3)(3x-5)\\)<\/li>\r\n \t
  11. \\(-3\\times 2=-6\\)\r\n\\(-3+2=-1\\)\r\n\\(2b^2-3b+2b-3\\)\r\n\\(b(2b-3)+1(2b-3)\\)\r\n\\((2b-3)(b+1)\\)<\/li>\r\n \t
  12. \\(8\\times -3=-24\\)\r\n\\(8+-3=5\\)\r\n\\(2k^2+8k-3k-12\\)\r\n\\(2k(k+4)-3(k+4)\\)\r\n\\((k+4)(2k-3)\\)<\/li>\r\n \t
  13. \\(15\\times 2=30\\)\r\n\\(15+2=17\\)\r\n\\(3x^2+15xy+2xy+10y^2\\)\r\n\\(3x(x+5y)+2y(x+5y)\\)\r\n\\((x+5y)(3x+2y)\\)<\/li>\r\n \t
  14. \\(-7\\times 5=-35\\)\r\n\\(-7+5=-2\\)\r\n\\(7x^2-7xy+5xy-5y^2\\)\r\n\\(7x(x-y)+5y(x-y)\\)\r\n\\((x-y)(7x+5y)\\)<\/li>\r\n \t
  15. \\(15\\times -4=-60\\)\r\n\\(15+-4=11\\)\r\n\\(3x^2+15xy-4xy-20y^2\\)\r\n\\(3x(x+5y)-4y(x+5y)\\)\r\n\\((x+5y)(3x-4y)\\)<\/li>\r\n \t
  16. \\(18\\times -2=-36\\)\r\n\\(18+-2=16\\)\r\n\\(12u^2+18uv-2uv-3v^2\\)\r\n\\(6u(2u+3v)-v(2u+3v)\\)\r\n\\((2u+3v)(6u-v)\\)<\/li>\r\n \t
  17. \\(-16\\times -1=16\\)\r\n\\(-16+-1=-17\\)\r\n\\(4k^2-16k-k+4\\)\r\n\\(4k(k-4)-1(k-4)\\)\r\n\\((k-4)(4k-1)\\)<\/li>\r\n \t
  18. \\(7\\times -4=-28\\)\r\n\\(7+-4=3\\)\r\n\\(4r^2+7r-4r-7\\)\r\n\\(r(4r+7)-1(4r+7)\\)\r\n\\((4r+7)(r-1)\\)<\/li>\r\n \t
  19. \\(-12\\times 3=-36\\)\r\n\\(-12+3=-9\\)\r\n\\(4m^2-12mn+3mn-9n^2\\)\r\n\\(4m(m-3n)+3n(m-3n)\\)\r\n\\((m-3n)(4m+3n)\\)<\/li>\r\n \t
  20. \\(\\text{Cannot be factored.}\\)<\/li>\r\n \t
  21. \\(12\\times 1=12\\)\r\n\\(12+1=13\\)\r\n\\(4x^2+12xy+xy+3y^2\\)\r\n\\(4x(x+3y)+y(x+3y)\\)\r\n\\((x+3y)(4x+y)\\)<\/li>\r\n \t
  22. \\(8\\times -3=-24\\)\r\n\\(8+-3=5\\)\r\n\\(6u^2+8uv-3uv-4v^2\\)\r\n\\(2u(3u+4v)-v(3u+4v)\\)\r\n\\((3u+4v)(2u-v)\\)<\/li>\r\n \t
  23. \\(20\\times -1=-20\\)\r\n\\(20+-1=19\\)\r\n\\(10x^2+20xy-xy-2y^2\\)\r\n\\(10x(x+2y)-1(x+2y)\\)\r\n\\((x-2y)(10x-y)\\)<\/li>\r\n \t
  24. \\(-15\\times 2=-30\\)\r\n\\(-15+2=-13\\)\r\n\\(6x^2-15xy+2xy-5y^2\\)\r\n\\(3x(2x-5y)+y(2x-5y)\\)\r\n\\((2x-5y)(3x+y)\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"-21\times 2=-42\"
      \n\"-21+2=-19\"
      \n\"7x^2-21x+2x-6\"
      \n\"7x(x-3)+2(x-3)\"
      \n\"(x-3)(7x+2)\"<\/li>\n
    2. \"-6\times 4=-24\"
      \n\"-6+4=-2\"
      \n\"3n^2-6n+4n-8\"
      \n\"3n(n-2)+4(n-2)\"
      \n\"(n-2)(3n+4)\"<\/li>\n
    3. \"14\times 1=14\"
      \n\"14+1=15\"
      \n\"7b^2+14b+b+2\"
      \n\"7b(b+2)+1(b+2)\"
      \n\"(b+2)(7b+1)\"<\/li>\n
    4. \"-14\times 3=-42\"
      \n\"-14+3=-11\"
      \n\"21v^2-14v+3v-2\"
      \n\"7v(3v-2)+1(3v-2)\"
      \n\"(3v-2)(7v+1)\"<\/li>\n
    5. \"15\times -2=-30\"
      \n\"15+-2=13\"
      \n\"5a^2+15a-2a-6\"
      \n\"5a(a+3)-2(a+3)\"
      \n\"(a+3)(5a-2)\"<\/li>\n
    6. \"-20\times 2=-40\"
      \n\"-20+2=-18\"
      \n\"5n^2-20n+2n-8\"
      \n\"5n(n-4)+2(n-4)\"
      \n\"(n-4)(5n+2)\"<\/li>\n
    7. \"-1\times -4=4\"
      \n\"-1+-4=-5\"
      \n\"2x^2-x-4x+2\"
      \n\"x(2x-1)-2(2x-1)\"
      \n\"(2x-1)(x-2)\"<\/li>\n
    8. \"-6\times 2=-12\"
      \n\"-6+2=-4\"
      \n\"3r^2-6r+2r-4\"
      \n\"3r(r-2)+2(r-2)\"
      \n\"(r-2)(3r+2)\"<\/li>\n
    9. \"14\times 5=70\"
      \n\"14+5=19\"
      \n\"2x^2+14x+5x+35\"
      \n\"2x(x+7)+5(x+7)\"
      \n\"(x+7)(2x+5)\"<\/li>\n
    10. \"9\times -5=-45\"
      \n\"9+-5=4\"
      \n\"3x^2+9x-5x-15\"
      \n\"3x(x+3)-5(x+3)\"
      \n\"(x+3)(3x-5)\"<\/li>\n
    11. \"-3\times 2=-6\"
      \n\"-3+2=-1\"
      \n\"2b^2-3b+2b-3\"
      \n\"b(2b-3)+1(2b-3)\"
      \n\"(2b-3)(b+1)\"<\/li>\n
    12. \"8\times -3=-24\"
      \n\"8+-3=5\"
      \n\"2k^2+8k-3k-12\"
      \n\"2k(k+4)-3(k+4)\"
      \n\"(k+4)(2k-3)\"<\/li>\n
    13. \"15\times 2=30\"
      \n\"15+2=17\"
      \n\"3x^2+15xy+2xy+10y^2\"
      \n\"3x(x+5y)+2y(x+5y)\"
      \n\"(x+5y)(3x+2y)\"<\/li>\n
    14. \"-7\times 5=-35\"
      \n\"-7+5=-2\"
      \n\"7x^2-7xy+5xy-5y^2\"
      \n\"7x(x-y)+5y(x-y)\"
      \n\"(x-y)(7x+5y)\"<\/li>\n
    15. \"15\times -4=-60\"
      \n\"15+-4=11\"
      \n\"3x^2+15xy-4xy-20y^2\"
      \n\"3x(x+5y)-4y(x+5y)\"
      \n\"(x+5y)(3x-4y)\"<\/li>\n
    16. \"18\times -2=-36\"
      \n\"18+-2=16\"
      \n\"12u^2+18uv-2uv-3v^2\"
      \n\"6u(2u+3v)-v(2u+3v)\"
      \n\"(2u+3v)(6u-v)\"<\/li>\n
    17. \"-16\times -1=16\"
      \n\"-16+-1=-17\"
      \n\"4k^2-16k-k+4\"
      \n\"4k(k-4)-1(k-4)\"
      \n\"(k-4)(4k-1)\"<\/li>\n
    18. \"7\times -4=-28\"
      \n\"7+-4=3\"
      \n\"4r^2+7r-4r-7\"
      \n\"r(4r+7)-1(4r+7)\"
      \n\"(4r+7)(r-1)\"<\/li>\n
    19. \"-12\times 3=-36\"
      \n\"-12+3=-9\"
      \n\"4m^2-12mn+3mn-9n^2\"
      \n\"4m(m-3n)+3n(m-3n)\"
      \n\"(m-3n)(4m+3n)\"<\/li>\n
    20. \"\text{Cannot be factored.}\"<\/li>\n
    21. \"12\times 1=12\"
      \n\"12+1=13\"
      \n\"4x^2+12xy+xy+3y^2\"
      \n\"4x(x+3y)+y(x+3y)\"
      \n\"(x+3y)(4x+y)\"<\/li>\n
    22. \"8\times -3=-24\"
      \n\"8+-3=5\"
      \n\"6u^2+8uv-3uv-4v^2\"
      \n\"2u(3u+4v)-v(3u+4v)\"
      \n\"(3u+4v)(2u-v)\"<\/li>\n
    23. \"20\times -1=-20\"
      \n\"20+-1=19\"
      \n\"10x^2+20xy-xy-2y^2\"
      \n\"10x(x+2y)-1(x+2y)\"
      \n\"(x-2y)(10x-y)\"<\/li>\n
    24. \"-15\times 2=-30\"
      \n\"-15+2=-13\"
      \n\"6x^2-15xy+2xy-5y^2\"
      \n\"3x(2x-5y)+y(2x-5y)\"
      \n\"(2x-5y)(3x+y)\"<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":56,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1570","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1570","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\/727"}],"version-history":[{"count":2,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1570\/revisions"}],"predecessor-version":[{"id":1572,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1570\/revisions\/1572"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1570\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1570"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1570"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1570"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1570"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}