{"id":1590,"date":"2021-12-02T19:38:39","date_gmt":"2021-12-03T00:38:39","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-2-3\/"},"modified":"2022-11-02T10:36:47","modified_gmt":"2022-11-02T14:36:47","slug":"answer-key-2-3","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-2-3\/","title":{"raw":"Answer Key 2.3","rendered":"Answer Key 2.3"},"content":{"raw":"
    \n \t
  1. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrr}\n2&-(-3a&-&8)&=&1 \\\\\n-2&&&&&-2 \\\\\n\\hline\n&-(-3a&-&8)&=&-1 \\\\\n&3a&+&8&=&-1 \\\\\n&&-&8&&-8 \\\\\n\\hline\n&&&3a&=&-9 \\\\\n&&&a&=&-3\n\\end{array}[\/latex]<\/li>\n \t
  2. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrcrc}\n2(-3n&+&8)&=&-20\\\\ \\\\\n\\dfrac{2}{2}(-3n&+&8)&=&\\dfrac{-20}{2} \\\\ \\\\\n-3n&+&8&=&-10 \\\\\n&-&8&&-8 \\\\\n\\hline\n&&\\dfrac{-3n}{-3}&=&\\dfrac{-18}{-3} \\\\ \\\\\n&&n&=&6\n\\end{array}[\/latex]<\/li>\n \t
  3. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrcrc}\n-5(-4&+&2v)&=&-50\\\\ \\\\\n\\dfrac{-5}{-5}(-4&+&2v)&=&\\dfrac{-50}{-5}\\\\ \\\\\n-4&+&2v&=&10 \\\\\n+4&&&&+4 \\\\\n\\hline\n&&\\dfrac{2v}{2}&=&\\dfrac{14}{2}\\\\ \\\\\n&&v&=&7\n\\end{array}[\/latex]<\/li>\n \t
  4. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrcrrrl}\n2&-&8(-4&+&3x)&=&34 \\\\\n-2&&&&&&-2 \\\\\n\\hline\n&&\\dfrac{-8}{-8}(-4&+&3x)&=&\\dfrac{32}{-8} \\\\ \\\\\n&&-4&+&3x&=&-4 \\\\\n&&+4&&&&+4 \\\\\n\\hline\n&&&&3x&=&0 \\\\\n&&&&x&=&0\n\\end{array}[\/latex]<\/li>\n \t
  5. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrr}\n\\dfrac{66}{6}&=&\\dfrac{6}{6}(6&+&5x) \\\\ \\\\\n11&=&6&+&5x \\\\\n-6&&-6&& \\\\\n\\hline\n\\dfrac{5}{5}&=&\\dfrac{5x}{5}&& \\\\ \\\\\nx&=&1&&\n\\end{array}[\/latex]<\/li>\n \t
  6. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrcrcrr}\n32&=&\\phantom{-}2&-&5(-4n&+&6) \\\\\n-2&&-2&&&& \\\\\n\\hline\n\\dfrac{30}{-5}&=&\\dfrac{-5}{-5}(-4n&+&6)&& \\\\ \\\\\n-6&=&-4n&+&6&& \\\\\n-6&&&-&6&& \\\\\n\\hline\n\\dfrac{-12}{-4}&=&\\dfrac{-4n}{-4}&&&& \\\\ \\\\\nn&=&3&&&&\n\\end{array}[\/latex]<\/li>\n \t
  7. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n-2&+&2(8x&-&9)&=&-16 \\\\\n+2&&&&&&+2 \\\\\n\\hline\n&&\\dfrac{2}{2}(8x&-&9)&=&\\dfrac{-14}{2} \\\\ \\\\\n&&8x&-&9&=&-7 \\\\\n&&&+&9&&+9 \\\\\n\\hline\n&&&&8x&=&2 \\\\ \\\\\n&&&&x&=&\\dfrac{1}{4}\n\\end{array}[\/latex]<\/li>\n \t
  8. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrl}\n-3&+&5n&=&12 \\\\\n+3&&&&+3 \\\\\n\\hline\n&&\\dfrac{5n}{5}&=&\\dfrac{15}{5} \\\\ \\\\\n&&n&=&3\n\\end{array}[\/latex]<\/li>\n \t
  9. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrlll}\n-1&-&7m&=&-8m&+&7 \\\\\n-7&+&7m&&+7m&-&7 \\\\\n\\hline\n&&(-8&=&-m)(-1)&& \\\\\n&&m&=&8&&\n\\end{array}[\/latex]<\/li>\n \t
  10. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n56p&-&48&=&6p&+&2 \\\\\n-6p&+&48&&-6p&+&48 \\\\\n\\hline\n&&\\dfrac{50p}{50}&=&\\dfrac{50}{50}&& \\\\ \\\\\n&&p&=&1&&\n\\end{array}[\/latex]<\/li>\n \t
  11. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n1&-&12r&=&29&-&8r \\\\\n-1&+&8r&&-1&+&8r \\\\\n\\hline\n&&\\dfrac{-4r}{-4}&=&\\dfrac{28}{-4}&& \\\\ \\\\\n&&r&=&-7&&\n\\end{array}[\/latex]<\/li>\n \t
  12. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n4&+&3x&=&-12x&+&4 \\\\\n-4&+&12x&&+12x&-&4 \\\\\n\\hline\n&&15x&=&0&& \\\\\n&&x&=&0&&\n\\end{array}[\/latex]<\/li>\n \t
  13. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n20&-&7b&=&-12b&+&30 \\\\\n-20&+&12b&&+12b&-&20 \\\\\n\\hline\n&&\\dfrac{5b}{5}&=&\\dfrac{10}{5}&& \\\\ \\\\\n&&b&=&2&&\n\\end{array}[\/latex]<\/li>\n \t
  14. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n-16n&+&12&=&39&-&7n \\\\\n+7n&-&12&&-12&+&7n \\\\\n\\hline\n&&\\dfrac{-9n}{-9}&=&\\dfrac{27}{-9}&& \\\\ \\\\\n&&n&=&-3&&\n\\end{array}[\/latex]<\/li>\n \t
  15. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrrrr}\n-2&-&5(2&-&4m)&=&33&+&5m \\\\\n+2&&&&&&+2&& \\\\\n\\hline\n&&-10&+&20m&=&35&+&5m \\\\\n&&+10&-&5m&&+10&-&5m \\\\\n\\hline\n&&&&\\dfrac{15m}{15}&=&\\dfrac{45}{15}&& \\\\ \\\\\n&&&&m&=&3&&\n\\end{array}[\/latex]<\/li>\n \t
  16. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n-25&-&7x&=&12x&-&6 \\\\\n+25&-&12x&&-12x&+&25 \\\\\n\\hline\n&&\\dfrac{-19x}{-19}&=&\\dfrac{19}{-19}&& \\\\ \\\\\n&&x&=&-1&&\n\\end{array}[\/latex]<\/li>\n \t
  17. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrrrr}\n-4n&+&11&=&2&-&16n&+&3n \\\\\n+16n&-&11&&-11&+&16n&-&3n \\\\\n-3n&&&&&&&& \\\\\n\\hline\n&&\\dfrac{9n}{9}&=&\\dfrac{-9}{9}&&&& \\\\ \\\\\n&&n&=&-1&&&&\n\\end{array}[\/latex]<\/li>\n \t
  18. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrr}\n-7&-&7b&=&-5&-&5b \\\\\n+7&+&5b&&+7&+&5b \\\\\n\\hline\n&&\\dfrac{-2b}{-2}&=&\\dfrac{2}{-2}&& \\\\ \\\\\n&&b&=&-1&&\n\\end{array}[\/latex]<\/li>\n \t
  19. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrlrrrr}\n-6v&-&29&=&-4v&-&5v&-&5 \\\\\n+4v&+&29&&+4v&+&5v&+&29 \\\\\n+5v&&&&&&&& \\\\\n\\hline\n&&\\dfrac{3v}{3}&=&\\dfrac{24}{3}&&&& \\\\ \\\\\n&&v&=&8&&&&\n\\end{array}[\/latex]<\/li>\n \t
  20. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrcrrrr}\n-64r&+&16&=&3r&+&16 \\\\\n-3r&-&16&&-3r&-&16 \\\\\n\\hline\n&&-67r&=&0&& \\\\\n&&r&=&0&&\n\\end{array}[\/latex]<\/li>\n \t
  21. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrcrrrr}\n8x&-&8&=&-20&-&4x \\\\\n+4x&+&8&&+8&+&4x \\\\\n\\hline\n&&\\dfrac{12x}{12}&&\\dfrac{-12}{12}&& \\\\ \\\\\n&&x&=&-1&&\n\\end{array}[\/latex]<\/li>\n \t
  22. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrlrrrr}\n-8n&-&19&=&-16n&+&6&+&3n \\\\\n+16n&+&19&&+16n&+&19&-&3n \\\\\n-3n&&&&&&&& \\\\\n\\hline\n&&\\dfrac{5n}{5}&=&\\dfrac{25}{5}&&&& \\\\ \\\\\n&&n&=&5&&&&\n\\end{array}[\/latex]<\/li>\n \t
  23. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrrrr}\n-2m&+&4&+&7m&-&56&=&-67 \\\\\n&-&4&&&+&56&&+56 \\\\\n&&&&&&&&-4 \\\\\n\\hline\n&&&&&&\\dfrac{5m}{5}&=&\\dfrac{-15}{5} \\\\ \\\\\n&&&&&&m&=&-3\n\\end{array}[\/latex]<\/li>\n \t
  24. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrlrrrrrr}\n7&=&4n&-&28&+&35n&+&35 \\\\\n+28&&&+&28&&&-&35 \\\\\n-35&&&&&&&& \\\\\n\\hline\n0&=&39n&&&&&& \\\\\nn&=&0&&&&&&\n\\end{array}[\/latex]<\/li>\n \t
  25. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrlrrrrrr}\n50&=&\\phantom{-}56&+&56r&-&4r&-&6 \\\\\n-56&&-56&&&&&+&6 \\\\\n+6&&&&&&&& \\\\\n\\hline\n0&=&52r&&&&&& \\\\\nr&=&0&&&&&&\n\\end{array}[\/latex]<\/li>\n \t
  26. [latex]\\phantom{a}[\/latex]\n[latex]\\begin{array}[t]{rrrrrrrrr}\n-48&-&48x&-&12&+&24x&=&-12 \\\\\n+48&&&+&12&&&&+12 \\\\\n&&&&&&&&+48 \\\\\n\\hline\n&&&&&&\\dfrac{-24x}{-24}&=&\\dfrac{48}{-24} \\\\ \\\\\n&&&&&&x&=&-2\n\\end{array}[\/latex]<\/li>\n<\/ol>","rendered":"
      \n
    1. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrr} 2&-(-3a&-&8)&=&1 \\\\ -2&&&&&-2 \\\\ \\hline &-(-3a&-&8)&=&-1 \\\\ &3a&+&8&=&-1 \\\\ &&-&8&&-8 \\\\ \\hline &&&3a&=&-9 \\\\ &&&a&=&-3 \\end{array}[\/latex]<\/li>\n
    2. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrcrc} 2(-3n&+&8)&=&-20\\\\ \\\\ \\dfrac{2}{2}(-3n&+&8)&=&\\dfrac{-20}{2} \\\\ \\\\ -3n&+&8&=&-10 \\\\ &-&8&&-8 \\\\ \\hline &&\\dfrac{-3n}{-3}&=&\\dfrac{-18}{-3} \\\\ \\\\ &&n&=&6 \\end{array}[\/latex]<\/li>\n
    3. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrcrc} -5(-4&+&2v)&=&-50\\\\ \\\\ \\dfrac{-5}{-5}(-4&+&2v)&=&\\dfrac{-50}{-5}\\\\ \\\\ -4&+&2v&=&10 \\\\ +4&&&&+4 \\\\ \\hline &&\\dfrac{2v}{2}&=&\\dfrac{14}{2}\\\\ \\\\ &&v&=&7 \\end{array}[\/latex]<\/li>\n
    4. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrcrrrl} 2&-&8(-4&+&3x)&=&34 \\\\ -2&&&&&&-2 \\\\ \\hline &&\\dfrac{-8}{-8}(-4&+&3x)&=&\\dfrac{32}{-8} \\\\ \\\\ &&-4&+&3x&=&-4 \\\\ &&+4&&&&+4 \\\\ \\hline &&&&3x&=&0 \\\\ &&&&x&=&0 \\end{array}[\/latex]<\/li>\n
    5. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrr} \\dfrac{66}{6}&=&\\dfrac{6}{6}(6&+&5x) \\\\ \\\\ 11&=&6&+&5x \\\\ -6&&-6&& \\\\ \\hline \\dfrac{5}{5}&=&\\dfrac{5x}{5}&& \\\\ \\\\ x&=&1&& \\end{array}[\/latex]<\/li>\n
    6. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrcrcrr} 32&=&\\phantom{-}2&-&5(-4n&+&6) \\\\ -2&&-2&&&& \\\\ \\hline \\dfrac{30}{-5}&=&\\dfrac{-5}{-5}(-4n&+&6)&& \\\\ \\\\ -6&=&-4n&+&6&& \\\\ -6&&&-&6&& \\\\ \\hline \\dfrac{-12}{-4}&=&\\dfrac{-4n}{-4}&&&& \\\\ \\\\ n&=&3&&&& \\end{array}[\/latex]<\/li>\n
    7. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} -2&+&2(8x&-&9)&=&-16 \\\\ +2&&&&&&+2 \\\\ \\hline &&\\dfrac{2}{2}(8x&-&9)&=&\\dfrac{-14}{2} \\\\ \\\\ &&8x&-&9&=&-7 \\\\ &&&+&9&&+9 \\\\ \\hline &&&&8x&=&2 \\\\ \\\\ &&&&x&=&\\dfrac{1}{4} \\end{array}[\/latex]<\/li>\n
    8. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrl} -3&+&5n&=&12 \\\\ +3&&&&+3 \\\\ \\hline &&\\dfrac{5n}{5}&=&\\dfrac{15}{5} \\\\ \\\\ &&n&=&3 \\end{array}[\/latex]<\/li>\n
    9. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrlll} -1&-&7m&=&-8m&+&7 \\\\ -7&+&7m&&+7m&-&7 \\\\ \\hline &&(-8&=&-m)(-1)&& \\\\ &&m&=&8&& \\end{array}[\/latex]<\/li>\n
    10. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 56p&-&48&=&6p&+&2 \\\\ -6p&+&48&&-6p&+&48 \\\\ \\hline &&\\dfrac{50p}{50}&=&\\dfrac{50}{50}&& \\\\ \\\\ &&p&=&1&& \\end{array}[\/latex]<\/li>\n
    11. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 1&-&12r&=&29&-&8r \\\\ -1&+&8r&&-1&+&8r \\\\ \\hline &&\\dfrac{-4r}{-4}&=&\\dfrac{28}{-4}&& \\\\ \\\\ &&r&=&-7&& \\end{array}[\/latex]<\/li>\n
    12. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 4&+&3x&=&-12x&+&4 \\\\ -4&+&12x&&+12x&-&4 \\\\ \\hline &&15x&=&0&& \\\\ &&x&=&0&& \\end{array}[\/latex]<\/li>\n
    13. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} 20&-&7b&=&-12b&+&30 \\\\ -20&+&12b&&+12b&-&20 \\\\ \\hline &&\\dfrac{5b}{5}&=&\\dfrac{10}{5}&& \\\\ \\\\ &&b&=&2&& \\end{array}[\/latex]<\/li>\n
    14. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} -16n&+&12&=&39&-&7n \\\\ +7n&-&12&&-12&+&7n \\\\ \\hline &&\\dfrac{-9n}{-9}&=&\\dfrac{27}{-9}&& \\\\ \\\\ &&n&=&-3&& \\end{array}[\/latex]<\/li>\n
    15. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrrrr} -2&-&5(2&-&4m)&=&33&+&5m \\\\ +2&&&&&&+2&& \\\\ \\hline &&-10&+&20m&=&35&+&5m \\\\ &&+10&-&5m&&+10&-&5m \\\\ \\hline &&&&\\dfrac{15m}{15}&=&\\dfrac{45}{15}&& \\\\ \\\\ &&&&m&=&3&& \\end{array}[\/latex]<\/li>\n
    16. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} -25&-&7x&=&12x&-&6 \\\\ +25&-&12x&&-12x&+&25 \\\\ \\hline &&\\dfrac{-19x}{-19}&=&\\dfrac{19}{-19}&& \\\\ \\\\ &&x&=&-1&& \\end{array}[\/latex]<\/li>\n
    17. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrrrr} -4n&+&11&=&2&-&16n&+&3n \\\\ +16n&-&11&&-11&+&16n&-&3n \\\\ -3n&&&&&&&& \\\\ \\hline &&\\dfrac{9n}{9}&=&\\dfrac{-9}{9}&&&& \\\\ \\\\ &&n&=&-1&&&& \\end{array}[\/latex]<\/li>\n
    18. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrr} -7&-&7b&=&-5&-&5b \\\\ +7&+&5b&&+7&+&5b \\\\ \\hline &&\\dfrac{-2b}{-2}&=&\\dfrac{2}{-2}&& \\\\ \\\\ &&b&=&-1&& \\end{array}[\/latex]<\/li>\n
    19. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrlrrrr} -6v&-&29&=&-4v&-&5v&-&5 \\\\ +4v&+&29&&+4v&+&5v&+&29 \\\\ +5v&&&&&&&& \\\\ \\hline &&\\dfrac{3v}{3}&=&\\dfrac{24}{3}&&&& \\\\ \\\\ &&v&=&8&&&& \\end{array}[\/latex]<\/li>\n
    20. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrcrrrr} -64r&+&16&=&3r&+&16 \\\\ -3r&-&16&&-3r&-&16 \\\\ \\hline &&-67r&=&0&& \\\\ &&r&=&0&& \\end{array}[\/latex]<\/li>\n
    21. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrcrrrr} 8x&-&8&=&-20&-&4x \\\\ +4x&+&8&&+8&+&4x \\\\ \\hline &&\\dfrac{12x}{12}&&\\dfrac{-12}{12}&& \\\\ \\\\ &&x&=&-1&& \\end{array}[\/latex]<\/li>\n
    22. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrlrrrr} -8n&-&19&=&-16n&+&6&+&3n \\\\ +16n&+&19&&+16n&+&19&-&3n \\\\ -3n&&&&&&&& \\\\ \\hline &&\\dfrac{5n}{5}&=&\\dfrac{25}{5}&&&& \\\\ \\\\ &&n&=&5&&&& \\end{array}[\/latex]<\/li>\n
    23. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrrrr} -2m&+&4&+&7m&-&56&=&-67 \\\\ &-&4&&&+&56&&+56 \\\\ &&&&&&&&-4 \\\\ \\hline &&&&&&\\dfrac{5m}{5}&=&\\dfrac{-15}{5} \\\\ \\\\ &&&&&&m&=&-3 \\end{array}[\/latex]<\/li>\n
    24. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrlrrrrrr} 7&=&4n&-&28&+&35n&+&35 \\\\ +28&&&+&28&&&-&35 \\\\ -35&&&&&&&& \\\\ \\hline 0&=&39n&&&&&& \\\\ n&=&0&&&&&& \\end{array}[\/latex]<\/li>\n
    25. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrlrrrrrr} 50&=&\\phantom{-}56&+&56r&-&4r&-&6 \\\\ -56&&-56&&&&&+&6 \\\\ +6&&&&&&&& \\\\ \\hline 0&=&52r&&&&&& \\\\ r&=&0&&&&&& \\end{array}[\/latex]<\/li>\n
    26. [latex]\\phantom{a}[\/latex]
      \n[latex]\\begin{array}[t]{rrrrrrrrr} -48&-&48x&-&12&+&24x&=&-12 \\\\ +48&&&+&12&&&&+12 \\\\ &&&&&&&&+48 \\\\ \\hline &&&&&&\\dfrac{-24x}{-24}&=&\\dfrac{48}{-24} \\\\ \\\\ &&&&&&x&=&-2 \\end{array}[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":17,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1590","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1590","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1590\/revisions"}],"predecessor-version":[{"id":1591,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1590\/revisions\/1591"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1590\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1590"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1590"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1590"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1590"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}