{"id":1578,"date":"2021-12-02T19:38:35","date_gmt":"2021-12-03T00:38:35","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-chapter-1-3\/"},"modified":"2023-08-31T19:48:43","modified_gmt":"2023-08-31T23:48:43","slug":"answer-key-chapter-1-3","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-chapter-1-3\/","title":{"raw":"Answer Key 1.3","rendered":"Answer Key 1.3"},"content":{"raw":"
    \r\n \t
  1. [latex]-6 \\cdot -\\dfrac{4}{1}[\/latex]\r\n[latex]-6 \\cdot -4[\/latex]\r\n[latex]24[\/latex]<\/li>\r\n \t
  2. [latex](-1)^3=-1[\/latex]<\/li>\r\n \t
  3. [latex]3+8 \\div 4[\/latex]\r\n[latex]3+2[\/latex]\r\n[latex]5[\/latex]<\/li>\r\n \t
  4. [latex]5(1)\\cdot 36[\/latex]\r\n[latex]5\\cdot 36[\/latex]\r\n[latex]180[\/latex]<\/li>\r\n \t
  5. [latex]8 \\div 4\\cdot 2[\/latex]\r\n[latex]2 \\cdot 2[\/latex]\r\n[latex]4[\/latex]<\/li>\r\n \t
  6. [latex]2+6=8[\/latex]<\/li>\r\n \t
  7. [latex]\\left[-9-(2-5)\\right] \\div -6[\/latex]\r\n[latex]\\left[-9-(-3)\\right]\\div -6[\/latex]\r\n[latex]\\left[-6\\right] \\div -6[\/latex]\r\n1<\/li>\r\n \t
  8. [latex](-2 \\cdot 8\\cdot 2) \\div (-4) [\/latex]\r\n[latex]-32 \\div -4[\/latex]\r\n8<\/li>\r\n \t
  9. [latex]-6 + (-6)^2\\div 3[\/latex]\r\n[latex]-6 + 36 \\div 3[\/latex]\r\n[latex]-6 + 12[\/latex]\r\n6<\/li>\r\n \t
  10. [latex]-12 \\div [-2-2+6][\/latex]\r\n[latex]-12 \\div 2[\/latex]\r\n\u2212 6<\/li>\r\n \t
  11. [latex]4-2|9-16|\u00a0[\/latex]\r\n[latex]4-2(7)[\/latex]\r\n[latex]4-14[\/latex]\r\n[latex]-10[\/latex]<\/li>\r\n \t
  12. [latex]-16 \\div 4 -5[\/latex]\r\n[latex]-4-5[\/latex]\r\n[latex]-9[\/latex]<\/li>\r\n \t
  13. [latex](-1+5)(5)[\/latex]\r\n[latex]4(5)[\/latex]\r\n20<\/li>\r\n \t
  14. [latex]-3-\\{3-[-3(6)+2]\\}[\/latex]\r\n[latex]-3-\\{3-[-18+2]\\}[\/latex]\r\n[latex]-3-\\{3-[-16]\\}[\/latex]\r\n[latex]-3-\\{19\\}[\/latex]\r\n[latex]-22[\/latex]<\/li>\r\n \t
  15. [latex]\\left[2+4|7+4| \\right] \\div \\left[8+15\\right][\/latex]\r\n[latex]\\left[2+4(11)\\right] \\div 23[\/latex]\r\n[latex]2+44 \\div 23[\/latex]\r\n[latex]46\\div 23[\/latex]\r\n2<\/li>\r\n \t
  16. [latex]-4-\\left[2-24-4-22-10\\right][\/latex]\r\n[latex]-4-\\left[-58\\right][\/latex]\r\n54<\/li>\r\n \t
  17. [latex]\\left[12+2+6\\right](-5+ |-3|)[\/latex]\r\n[latex](20)(-5+3)[\/latex]\r\n[latex](20)(-2)[\/latex]\r\n[latex]-40[\/latex]<\/li>\r\n \t
  18. [latex]-6+3-6\\left[-2-(-4)\\right]\u00a0[\/latex]\r\n[latex]-3-6\\left[-2+4\\right]\u00a0[\/latex]\r\n[latex]-3-6\\left[2\\right]\u00a0[\/latex]\r\n[latex]-3-12\u00a0[\/latex]\r\n[latex]-15[\/latex]<\/li>\r\n \t
  19. [latex]\\dfrac{-15}{2--1-6-[-1+3]}[\/latex]\r\n[latex]-15 \\div (-3-[2])[\/latex]\r\n[latex]-15 \\div (-5)[\/latex]\r\n3<\/li>\r\n \t
  20. [latex]\\dfrac{25+25}{|16-32| - 6}[\/latex]\r\n[latex]\\dfrac{50}{|-16|-6}[\/latex]\r\n[latex]\\dfrac{50}{16-6}[\/latex]\r\n[latex]\\dfrac{50}{10}[\/latex]\r\n5<\/li>\r\n \t
  21. [latex]\\dfrac{-48-4-4-[-4+3]}{(16+9)\\div 5}[\/latex]\r\n[latex]\\dfrac{-56-[-1]}{25\\div 5}[\/latex]\r\n[latex]\\dfrac{-55}{5}[\/latex]\r\n[latex]-11[\/latex]<\/li>\r\n \t
  22. [latex]\\dfrac{-18-(-3)}{1-(-1)+3}[\/latex]\r\n[latex]-\\dfrac{15}{5}[\/latex]\r\n[latex]-3[\/latex]<\/li>\r\n \t
  23. [latex]\\dfrac{8+4}{-24-4-[-25]}[\/latex]\r\n[latex]-\\dfrac{12}{3}[\/latex]\r\n[latex]-4[\/latex]<\/li>\r\n \t
  24. [latex]\\dfrac{13+9-12+1-[-10+6]}{\\{9 \\div [16-9(1)-8]\\}+12}[\/latex]\r\n[latex]\\dfrac{11-[-4]}{\\{9\\div [-1]\\}+12}[\/latex]\r\n[latex]\\dfrac{15}{-9+12}[\/latex]\r\n[latex]\\dfrac{15}{3}[\/latex]\r\n5<\/li>\r\n<\/ol>","rendered":"
      \n
    1. [latex]-6 \\cdot -\\dfrac{4}{1}[\/latex]
      \n[latex]-6 \\cdot -4[\/latex]
      \n[latex]24[\/latex]<\/li>\n
    2. [latex](-1)^3=-1[\/latex]<\/li>\n
    3. [latex]3+8 \\div 4[\/latex]
      \n[latex]3+2[\/latex]
      \n[latex]5[\/latex]<\/li>\n
    4. [latex]5(1)\\cdot 36[\/latex]
      \n[latex]5\\cdot 36[\/latex]
      \n[latex]180[\/latex]<\/li>\n
    5. [latex]8 \\div 4\\cdot 2[\/latex]
      \n[latex]2 \\cdot 2[\/latex]
      \n[latex]4[\/latex]<\/li>\n
    6. [latex]2+6=8[\/latex]<\/li>\n
    7. [latex]\\left[-9-(2-5)\\right] \\div -6[\/latex]
      \n[latex]\\left[-9-(-3)\\right]\\div -6[\/latex]
      \n[latex]\\left[-6\\right] \\div -6[\/latex]
      \n1<\/li>\n
    8. [latex](-2 \\cdot 8\\cdot 2) \\div (-4)[\/latex]
      \n[latex]-32 \\div -4[\/latex]
      \n8<\/li>\n
    9. [latex]-6 + (-6)^2\\div 3[\/latex]
      \n[latex]-6 + 36 \\div 3[\/latex]
      \n[latex]-6 + 12[\/latex]
      \n6<\/li>\n
    10. [latex]-12 \\div [-2-2+6][\/latex]
      \n[latex]-12 \\div 2[\/latex]
      \n\u2212 6<\/li>\n
    11. [latex]4-2|9-16|\u00a0[\/latex]
      \n[latex]4-2(7)[\/latex]
      \n[latex]4-14[\/latex]
      \n[latex]-10[\/latex]<\/li>\n
    12. [latex]-16 \\div 4 -5[\/latex]
      \n[latex]-4-5[\/latex]
      \n[latex]-9[\/latex]<\/li>\n
    13. [latex](-1+5)(5)[\/latex]
      \n[latex]4(5)[\/latex]
      \n20<\/li>\n
    14. [latex]-3-\\{3-[-3(6)+2]\\}[\/latex]
      \n[latex]-3-\\{3-[-18+2]\\}[\/latex]
      \n[latex]-3-\\{3-[-16]\\}[\/latex]
      \n[latex]-3-\\{19\\}[\/latex]
      \n[latex]-22[\/latex]<\/li>\n
    15. [latex]\\left[2+4|7+4| \\right] \\div \\left[8+15\\right][\/latex]
      \n[latex]\\left[2+4(11)\\right] \\div 23[\/latex]
      \n[latex]2+44 \\div 23[\/latex]
      \n[latex]46\\div 23[\/latex]
      \n2<\/li>\n
    16. [latex]-4-\\left[2-24-4-22-10\\right][\/latex]
      \n[latex]-4-\\left[-58\\right][\/latex]
      \n54<\/li>\n
    17. [latex]\\left[12+2+6\\right](-5+ |-3|)[\/latex]
      \n[latex](20)(-5+3)[\/latex]
      \n[latex](20)(-2)[\/latex]
      \n[latex]-40[\/latex]<\/li>\n
    18. [latex]-6+3-6\\left[-2-(-4)\\right]\u00a0[\/latex]
      \n[latex]-3-6\\left[-2+4\\right]\u00a0[\/latex]
      \n[latex]-3-6\\left[2\\right]\u00a0[\/latex]
      \n[latex]-3-12\u00a0[\/latex]
      \n[latex]-15[\/latex]<\/li>\n
    19. [latex]\\dfrac{-15}{2--1-6-[-1+3]}[\/latex]
      \n[latex]-15 \\div (-3-[2])[\/latex]
      \n[latex]-15 \\div (-5)[\/latex]
      \n3<\/li>\n
    20. [latex]\\dfrac{25+25}{|16-32| - 6}[\/latex]
      \n[latex]\\dfrac{50}{|-16|-6}[\/latex]
      \n[latex]\\dfrac{50}{16-6}[\/latex]
      \n[latex]\\dfrac{50}{10}[\/latex]
      \n5<\/li>\n
    21. [latex]\\dfrac{-48-4-4-[-4+3]}{(16+9)\\div 5}[\/latex]
      \n[latex]\\dfrac{-56-[-1]}{25\\div 5}[\/latex]
      \n[latex]\\dfrac{-55}{5}[\/latex]
      \n[latex]-11[\/latex]<\/li>\n
    22. [latex]\\dfrac{-18-(-3)}{1-(-1)+3}[\/latex]
      \n[latex]-\\dfrac{15}{5}[\/latex]
      \n[latex]-3[\/latex]<\/li>\n
    23. [latex]\\dfrac{8+4}{-24-4-[-25]}[\/latex]
      \n[latex]-\\dfrac{12}{3}[\/latex]
      \n[latex]-4[\/latex]<\/li>\n
    24. [latex]\\dfrac{13+9-12+1-[-10+6]}{\\{9 \\div [16-9(1)-8]\\}+12}[\/latex]
      \n[latex]\\dfrac{11-[-4]}{\\{9\\div [-1]\\}+12}[\/latex]
      \n[latex]\\dfrac{15}{-9+12}[\/latex]
      \n[latex]\\dfrac{15}{3}[\/latex]
      \n5<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":11,"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-1578","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\/1578","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":4,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1578\/revisions"}],"predecessor-version":[{"id":2190,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1578\/revisions\/2190"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1578\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1578"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1578"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1578"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1578"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}