{"id":87,"date":"2024-10-16T18:29:08","date_gmt":"2024-10-16T18:29:08","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/?post_type=chapter&p=87"},"modified":"2024-10-18T21:25:41","modified_gmt":"2024-10-18T21:25:41","slug":"algebra-essentials-get-stronger-answer-key","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/chapter\/algebra-essentials-get-stronger-answer-key\/","title":{"raw":"Algebra Essentials: Get Stronger Answer Key","rendered":"Algebra Essentials: Get Stronger Answer Key"},"content":{"raw":"

Introduction to Real Numbers<\/span><\/h2>\r\n
    \r\n\t
  1. [latex] -6 [\/latex]<\/li>\r\n\t
  2. [latex] -2 [\/latex]<\/li>\r\n\t
  3. [latex] -9 [\/latex]<\/li>\r\n\t
  4. [latex] 9 [\/latex]<\/li>\r\n\t
  5. [latex] -2 [\/latex]<\/li>\r\n\t
  6. [latex] 4 [\/latex]<\/li>\r\n\t
  7. [latex] 0 [\/latex]<\/li>\r\n\t
  8. [latex] 9 [\/latex]<\/li>\r\n\t
  9. [latex] 25 [\/latex]<\/li>\r\n\t
  10. [latex] -6 [\/latex]<\/li>\r\n\t
  11. [latex] 17 [\/latex]<\/li>\r\n\t
  12. [latex] 4 [\/latex]<\/li>\r\n\t
  13. [latex] 14 [\/latex]<\/li>\r\n\t
  14. [latex] -66 [\/latex]<\/li>\r\n\t
  15. [latex] -12 [\/latex]<\/li>\r\n\t
  16. [latex] -44 [\/latex]<\/li>\r\n\t
  17. [latex] -2 [\/latex]<\/li>\r\n\t
  18. [latex] -14y - 11 [\/latex]<\/li>\r\n\t
  19. [latex] -4b + 1 [\/latex]<\/li>\r\n\t
  20. [latex] 43z - 3 [\/latex]<\/li>\r\n\t
  21. [latex] 9y + 45 [\/latex]<\/li>\r\n\t
  22. [latex] -6b + 6 [\/latex]<\/li>\r\n\t
  23. [latex] \\frac{16x}{3} [\/latex]<\/li>\r\n\t
  24. [latex] 9x [\/latex]<\/li>\r\n\t
  25. [latex] \\frac{1}{2}(40 - 10) + 5 [\/latex]<\/li>\r\n\t
  26. <\/li>\r\n\t
  27. irrational number<\/li>\r\n\t
  28. <\/li>\r\n\t
  29. [latex] g + 400 - 2(600) = 1200 [\/latex]<\/li>\r\n\t
  30. <\/li>\r\n\t
  31. Inverse property of addition<\/li>\r\n<\/ol>\r\n\r\n

    Exponents and Scientific Notation<\/span><\/h2>\r\n
      \r\n
    1. [latex] 81 [\/latex]<\/li>\r\n
    2. [latex] 243 [\/latex]<\/li>\r\n
    3. [latex] \\frac{1}{16} [\/latex]<\/li>\r\n
    4. [latex] \\frac{1}{11} [\/latex]<\/li>\r\n
    5. [latex] 1 [\/latex]<\/li>\r\n
    6. [latex] 4^9 [\/latex]<\/li>\r\n
    7. [latex] 12^{40} [\/latex]<\/li>\r\n
    8. [latex] \\frac{1}{7^9} [\/latex]<\/li>\r\n
    9. [latex] 3.14 \\times 10^{-5} [\/latex]<\/li>\r\n
    10. [latex] 16,000,000,000 [\/latex]<\/li>\r\n
    11. [latex] a^4 [\/latex]<\/li>\r\n
    12. [latex] b^6 c^8 [\/latex]<\/li>\r\n
    13. [latex] ab^2 d^3 [\/latex]<\/li>\r\n
    14. [latex] m^4 [\/latex]<\/li>\r\n
    15. [latex] \\frac{q^5}{p^6} [\/latex]<\/li>\r\n
    16. [latex] \\frac{y^{21}}{x^{14}} [\/latex]<\/li>\r\n
    17. [latex] 25 [\/latex]<\/li>\r\n
    18. [latex] 72a^2 [\/latex]<\/li>\r\n
    19. [latex] \\frac{c^3}{b^9} [\/latex]<\/li>\r\n
    20. [latex] \\frac{y}{81z^6} [\/latex]<\/li>\r\n
    21. [latex] 0.00135 [\/latex]<\/li>m\r\n
    22. [latex] 1.0995 \\times 10^{12} [\/latex]<\/li>\r\n
    23. [latex] 0.00000000003397[\/latex]<\/li>in.\r\n<\/ol>\r\n\r\n

      Roots and Rational Exponents<\/span><\/h2>\r\n
        \r\n
      1. [latex] 16 [\/latex]<\/li>\r\n
      2. [latex] 10 [\/latex]<\/li>\r\n
      3. [latex] 14 [\/latex]<\/li>\r\n
      4. [latex] 7\\sqrt{2} [\/latex]<\/li>\r\n
      5. [latex] \\frac{9\\sqrt{5}}{5} [\/latex]<\/li>\r\n
      6. [latex] 25 [\/latex]<\/li>\r\n
      7. [latex] \\sqrt{2} [\/latex]<\/li>\r\n
      8. [latex] 2\\sqrt{6} [\/latex]<\/li>\r\n
      9. [latex] 5\\sqrt{6} [\/latex]<\/li>\r\n
      10. [latex] 6\\sqrt{35} [\/latex]<\/li>\r\n
      11. [latex] \\frac{2}{15} [\/latex]<\/li>\r\n
      12. [latex] \\frac{6\\sqrt{10}}{19} [\/latex]<\/li>\r\n
      13. [latex] \\frac{-1 + \\sqrt{17}}{2} [\/latex]<\/li>\r\n
      14. [latex] 7\\sqrt[3]{2} [\/latex]<\/li>\r\n
      15. [latex] 15\\sqrt{5} [\/latex]<\/li>\r\n
      16. [latex] 20x^2 [\/latex]<\/li>\r\n
      17. [latex] 7\\sqrt{p} [\/latex]<\/li>\r\n
      18. [latex] 17m^2\\sqrt{m} [\/latex]<\/li>\r\n
      19. [latex] 2b\\sqrt{a} [\/latex]<\/li>\r\n
      20. [latex] \\frac{15x}{7} [\/latex]<\/li>\r\n
      21. [latex] 5y^4\\sqrt{2} [\/latex]<\/li>\r\n
      22. [latex] \\frac{4\\sqrt{7d}}{7d} [\/latex]<\/li>\r\n
      23. [latex] \\frac{2\\sqrt{2}+2\\sqrt{6x}}{1-3x} [\/latex]<\/li>\r\n
      24. [latex] -w\\sqrt{2w} [\/latex]<\/li>\r\n
      25. [latex] \\frac{3\\sqrt{x} - \\sqrt{3x}}{2} [\/latex]<\/li>\r\n
      26. [latex] 5n^5\\sqrt{5} [\/latex]<\/li>\r\n
      27. [latex] \\frac{9\\sqrt{m}}{19m} [\/latex]<\/li>\r\n
      28. [latex] \\frac{2}{3d} [\/latex]<\/li>\r\n
      29. [latex] \\frac{3\\sqrt[4]{2x^2}}{2} [\/latex]<\/li>\r\n
      30. [latex] 6z\\sqrt[3]{2} [\/latex]<\/li>\r\n<\/ol>\r\n","rendered":"

        Introduction to Real Numbers<\/span><\/h2>\n
          \n
        1. [latex]-6[\/latex]<\/li>\n
        2. [latex]-2[\/latex]<\/li>\n
        3. [latex]-9[\/latex]<\/li>\n
        4. [latex]9[\/latex]<\/li>\n
        5. [latex]-2[\/latex]<\/li>\n
        6. [latex]4[\/latex]<\/li>\n
        7. [latex]0[\/latex]<\/li>\n
        8. [latex]9[\/latex]<\/li>\n
        9. [latex]25[\/latex]<\/li>\n
        10. [latex]-6[\/latex]<\/li>\n
        11. [latex]17[\/latex]<\/li>\n
        12. [latex]4[\/latex]<\/li>\n
        13. [latex]14[\/latex]<\/li>\n
        14. [latex]-66[\/latex]<\/li>\n
        15. [latex]-12[\/latex]<\/li>\n
        16. [latex]-44[\/latex]<\/li>\n
        17. [latex]-2[\/latex]<\/li>\n
        18. [latex]-14y - 11[\/latex]<\/li>\n
        19. [latex]-4b + 1[\/latex]<\/li>\n
        20. [latex]43z - 3[\/latex]<\/li>\n
        21. [latex]9y + 45[\/latex]<\/li>\n
        22. [latex]-6b + 6[\/latex]<\/li>\n
        23. [latex]\\frac{16x}{3}[\/latex]<\/li>\n
        24. [latex]9x[\/latex]<\/li>\n
        25. [latex]\\frac{1}{2}(40 - 10) + 5[\/latex]<\/li>\n
        26. <\/li>\n
        27. irrational number<\/li>\n
        28. <\/li>\n
        29. [latex]g + 400 - 2(600) = 1200[\/latex]<\/li>\n
        30. <\/li>\n
        31. Inverse property of addition<\/li>\n<\/ol>\n

          Exponents and Scientific Notation<\/span><\/h2>\n
            \n
          1. [latex]81[\/latex]<\/li>\n
          2. [latex]243[\/latex]<\/li>\n
          3. [latex]\\frac{1}{16}[\/latex]<\/li>\n
          4. [latex]\\frac{1}{11}[\/latex]<\/li>\n
          5. [latex]1[\/latex]<\/li>\n
          6. [latex]4^9[\/latex]<\/li>\n
          7. [latex]12^{40}[\/latex]<\/li>\n
          8. [latex]\\frac{1}{7^9}[\/latex]<\/li>\n
          9. [latex]3.14 \\times 10^{-5}[\/latex]<\/li>\n
          10. [latex]16,000,000,000[\/latex]<\/li>\n
          11. [latex]a^4[\/latex]<\/li>\n
          12. [latex]b^6 c^8[\/latex]<\/li>\n
          13. [latex]ab^2 d^3[\/latex]<\/li>\n
          14. [latex]m^4[\/latex]<\/li>\n
          15. [latex]\\frac{q^5}{p^6}[\/latex]<\/li>\n
          16. [latex]\\frac{y^{21}}{x^{14}}[\/latex]<\/li>\n
          17. [latex]25[\/latex]<\/li>\n
          18. [latex]72a^2[\/latex]<\/li>\n
          19. [latex]\\frac{c^3}{b^9}[\/latex]<\/li>\n
          20. [latex]\\frac{y}{81z^6}[\/latex]<\/li>\n
          21. [latex]0.00135[\/latex]<\/li>\n
          22. [latex]1.0995 \\times 10^{12}[\/latex]<\/li>\n
          23. [latex]0.00000000003397[\/latex]<\/li>\n<\/ol>\n

            Roots and Rational Exponents<\/span><\/h2>\n
              \n
            1. [latex]16[\/latex]<\/li>\n
            2. [latex]10[\/latex]<\/li>\n
            3. [latex]14[\/latex]<\/li>\n
            4. [latex]7\\sqrt{2}[\/latex]<\/li>\n
            5. [latex]\\frac{9\\sqrt{5}}{5}[\/latex]<\/li>\n
            6. [latex]25[\/latex]<\/li>\n
            7. [latex]\\sqrt{2}[\/latex]<\/li>\n
            8. [latex]2\\sqrt{6}[\/latex]<\/li>\n
            9. [latex]5\\sqrt{6}[\/latex]<\/li>\n
            10. [latex]6\\sqrt{35}[\/latex]<\/li>\n
            11. [latex]\\frac{2}{15}[\/latex]<\/li>\n
            12. [latex]\\frac{6\\sqrt{10}}{19}[\/latex]<\/li>\n
            13. [latex]\\frac{-1 + \\sqrt{17}}{2}[\/latex]<\/li>\n
            14. [latex]7\\sqrt[3]{2}[\/latex]<\/li>\n
            15. [latex]15\\sqrt{5}[\/latex]<\/li>\n
            16. [latex]20x^2[\/latex]<\/li>\n
            17. [latex]7\\sqrt{p}[\/latex]<\/li>\n
            18. [latex]17m^2\\sqrt{m}[\/latex]<\/li>\n
            19. [latex]2b\\sqrt{a}[\/latex]<\/li>\n
            20. [latex]\\frac{15x}{7}[\/latex]<\/li>\n
            21. [latex]5y^4\\sqrt{2}[\/latex]<\/li>\n
            22. [latex]\\frac{4\\sqrt{7d}}{7d}[\/latex]<\/li>\n
            23. [latex]\\frac{2\\sqrt{2}+2\\sqrt{6x}}{1-3x}[\/latex]<\/li>\n
            24. [latex]-w\\sqrt{2w}[\/latex]<\/li>\n
            25. [latex]\\frac{3\\sqrt{x} - \\sqrt{3x}}{2}[\/latex]<\/li>\n
            26. [latex]5n^5\\sqrt{5}[\/latex]<\/li>\n
            27. [latex]\\frac{9\\sqrt{m}}{19m}[\/latex]<\/li>\n
            28. [latex]\\frac{2}{3d}[\/latex]<\/li>\n
            29. [latex]\\frac{3\\sqrt[4]{2x^2}}{2}[\/latex]<\/li>\n
            30. [latex]6z\\sqrt[3]{2}[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":15,"menu_order":30,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":28,"module-header":"- Select Header -","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/87"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":5,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/87\/revisions"}],"predecessor-version":[{"id":100,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/87\/revisions\/100"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/parts\/28"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/87\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/media?parent=87"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapter-type?post=87"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/contributor?post=87"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/license?post=87"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}