{"id":1349,"date":"2019-06-17T17:51:38","date_gmt":"2019-06-17T21:51:38","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1349"},"modified":"2019-11-04T13:06:26","modified_gmt":"2019-11-04T18:06:26","slug":"answer-key-3-7","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-3-7\/","title":{"raw":"Answer Key 3.7","rendered":"Answer Key 3.7"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(2x+5=25\\)<\/li>\r\n \t
  2. \\(4x+12=36\\)<\/li>\r\n \t
  3. \\(3x-8=22\\)<\/li>\r\n \t
  4. \\(6x-8=22\\)<\/li>\r\n \t
  5. \\(x-8=\\dfrac{x}{2}\\)<\/li>\r\n \t
  6. \\(x-4=\\dfrac{x}{2}\\)<\/li>\r\n \t
  7. \\(x+x+1+x+2=21\\)<\/li>\r\n \t
  8. \\(x+x+2-(x+4)=5\\)<\/li>\r\n \t
  9. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n5&+&3x&=&17& \\\\\r\n-5&&&&-5& \\\\\r\n\\midrule\r\n&&3x&=&12& \\\\ \\\\\r\n&&x&=&\\dfrac{12}{3}&\\text{or } 4\r\n\\end{array}\\)<\/li>\r\n \t
  10. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n3x&-&5&=&10& \\\\\r\n&+&5&&+5& \\\\\r\n\\midrule\r\n&&3x&=&15& \\\\ \\\\\r\n&&x&=&\\dfrac{15}{3}&\\text{or } 5\r\n\\end{array}\\)<\/li>\r\n \t
  11. \\(\\begin{array}{rrrrrrr}\r\n\\\\ \\\\\r\n60&+&9x&=&10x&-&2 \\\\\r\n+2&-&9x&&-9x&+&2 \\\\\r\n\\midrule\r\n&&62&=&x&&\r\n\\end{array}\\)<\/li>\r\n \t
  12. \\(\\begin{array}{rrrrrrr}\r\n\\\\ \\\\\r\n7x&-&11&=&6x&+&5 \\\\\r\n-6x&+&11&&-6x&+&11 \\\\\r\n\\midrule\r\n&&x&=&16&&\r\n\\end{array}\\)<\/li>\r\n \t
  13. \\(\\begin{array}{rrrrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nx&+&x&+&1&+&x&+&2&=&108 \\\\\r\n&&&&&&3x&+&3&=&108 \\\\\r\n&&&&&&&-&3&&-3 \\\\\r\n\\midrule\r\n&&&&&&&&3x&=&105 \\\\ \\\\\r\n&&&&&&&&x&=&\\dfrac{105}{3}\\text{ or }35 \\\\ \\\\\r\n&&&&&&&&&\\therefore &35, 36, 37\r\n\\end{array}\\)<\/li>\r\n \t
  14. \\(\\begin{array}{rrrrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nx&+&x&+&1&+&x&+&2&=&-126 \\\\\r\n&&&&&&3x&+&3&=&-126 \\\\\r\n&&&&&&&-&3&&-\\phantom{00}3 \\\\\r\n\\midrule\r\n&&&&&&&&3x&=&-129 \\\\ \\\\\r\n&&&&&&&&x&=&\\dfrac{-129}{3}\\text{ or }-43 \\\\ \\\\\r\n&&&&&&&&&\\therefore &-43, -42, -41\r\n\\end{array}\\)<\/li>\r\n \t
  15. \\(\\begin{array}{rrrrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nx&+&2(x&+&1)&+&3(x&+&2)&=&-76 \\\\\r\nx&+&2x&+&2&+&3x&+&6&=&-76 \\\\\r\n&&&&&&6x&+&8&=&-76 \\\\\r\n&&&&&&&-&8&&-\\phantom{0}8 \\\\\r\n\\midrule\r\n&&&&&&&&6x&=&-84 \\\\ \\\\\r\n&&&&&&&&x&=&\\dfrac{-84}{6}\\text{ or }-14 \\\\ \\\\\r\n&&&&&&&&&\\therefore &-14, -13, -12\r\n\\end{array}\\)<\/li>\r\n \t
  16. \\(\\begin{array}{rrrrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\nx&+&2(x&+&2)&+&3(x&+&4)&=&\\phantom{0}70 \\\\\r\nx&+&2x&+&4&+&3x&+&12&=&\\phantom{0}70 \\\\\r\n&&&&&&6x&+&16&=&\\phantom{0}70 \\\\\r\n&&&&&&&-&16&&-16 \\\\\r\n\\midrule\r\n&&&&&&&&6x&=&54 \\\\ \\\\\r\n&&&&&&&&x&=&\\dfrac{54}{6}\\text{ or }9 \\\\ \\\\\r\n&&&&&&&&&\\therefore &9,11,13\r\n\\end{array}\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"2x+5=25\"<\/li>\n
    2. \"4x+12=36\"<\/li>\n
    3. \"3x-8=22\"<\/li>\n
    4. \"6x-8=22\"<\/li>\n
    5. \"x-8=\dfrac{x}{2}\"<\/li>\n
    6. \"x-4=\dfrac{x}{2}\"<\/li>\n
    7. \"x+x+1+x+2=21\"<\/li>\n
    8. \"x+x+2-(x+4)=5\"<\/li>\n
    9. \"\begin{array}{rrrrrr}<\/li>\n
    10. \"\begin{array}{rrrrrr}<\/li>\n
    11. \"\begin{array}{rrrrrrr}<\/li>\n
    12. \"\begin{array}{rrrrrrr}<\/li>\n
    13. \"\begin{array}{rrrrrrrrrrl}<\/li>\n
    14. \"\begin{array}{rrrrrrrrrrl}<\/li>\n
    15. \"\begin{array}{rrrrrrrrrrl}<\/li>\n
    16. \"\begin{array}{rrrrrrrrrrl}<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":24,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1349","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1349","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":4,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1349\/revisions"}],"predecessor-version":[{"id":2966,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1349\/revisions\/2966"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1349\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1349"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1349"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1349"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}