{"id":135,"date":"2026-01-12T15:50:15","date_gmt":"2026-01-12T15:50:15","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/?post_type=chapter&p=135"},"modified":"2026-01-12T15:50:15","modified_gmt":"2026-01-12T15:50:15","slug":"system-of-equations-with-matrices-get-stronger-answer-key","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/system-of-equations-with-matrices-get-stronger-answer-key\/","title":{"raw":"System of Equations With Matrices: Get Stronger Answer Key","rendered":"System of Equations With Matrices: Get Stronger Answer Key"},"content":{"raw":"

Introduction to Matrices and Matrix Operations<\/h2>\r\n
    \r\n \t
  1. [latex]\\left[\\begin{array}{cc}\\hfill 11& \\hfill 19\\\\ \\hfill 15& \\hfill 94\\\\ \\hfill 17& \\hfill 67\\end{array}\\right][\/latex]<\/li>\r\n \t
  2. [latex]\\left[\\begin{array}{cc}\\hfill -4& \\hfill 2\\\\ \\hfill 8& \\hfill 1\\end{array}\\right][\/latex]<\/li>\r\n \t
  3. Unidentified; dimensions do not match<\/li>\r\n \t
  4. [latex]\\left[\\begin{array}{cc}\\hfill 9& \\hfill 27\\\\ \\hfill 63& \\hfill 36\\\\ \\hfill 0& \\hfill 192\\end{array}\\right][\/latex]<\/li>\r\n \t
  5. [latex]\\left[\\begin{array}{cccc}\\hfill -64& \\hfill -12& \\hfill -28& \\hfill -72\\\\ \\hfill -360& \\hfill -20& \\hfill -12& \\hfill -116\\end{array}\\right][\/latex]<\/li>\r\n \t
  6. [latex]\\left[\\begin{array}{ccc}\\hfill 1,800& \\hfill 1,200& \\hfill 1,300\\\\ \\hfill 800& \\hfill 1,400& \\hfill 600\\\\ \\hfill 700& \\hfill 400& \\hfill 2,100\\end{array}\\right][\/latex]<\/li>\r\n \t
  7. [latex]\\left[\\begin{array}{cc}\\hfill 20& \\hfill 102\\\\ \\hfill 28& \\hfill 28\\end{array}\\right][\/latex]<\/li>\r\n \t
  8. [latex]\\left[\\begin{array}{ccc}\\hfill 60& \\hfill 41& \\hfill 2\\\\ \\hfill -16& \\hfill 120& \\hfill -216\\end{array}\\right][\/latex]<\/li>\r\n \t
  9. [latex]\\left[\\begin{array}{ccc}\\hfill -68& \\hfill 24& \\hfill 136\\\\ \\hfill -54& \\hfill -12& \\hfill 64\\\\ \\hfill -57& \\hfill 30& \\hfill 128\\end{array}\\right][\/latex]<\/li>\r\n \t
  10. Undefined; dimensions do not match.<\/li>\r\n \t
  11. [latex]\\left[\\begin{array}{ccc}\\hfill -8& \\hfill 41& \\hfill -3\\\\ \\hfill 40& \\hfill -15& \\hfill -14\\\\ \\hfill 4& \\hfill 27& \\hfill 42\\end{array}\\right][\/latex]<\/li>\r\n \t
  12. [latex]\\left[\\begin{array}{ccc}\\hfill -840& \\hfill 650& \\hfill -530\\\\ \\hfill 330& \\hfill 360& \\hfill 250\\\\ \\hfill -10& \\hfill 900& \\hfill 110\\end{array}\\right][\/latex]<\/li>\r\n \t
  13. [latex]\\left[\\begin{array}{cc}\\hfill -350& \\hfill 1,050\\\\ \\hfill 350& \\hfill 350\\end{array}\\right][\/latex]<\/li>\r\n \t
  14. Undefined; inner dimensions do not match.<\/li>\r\n \t
  15. [latex]\\left[\\begin{array}{cc}\\hfill 1,400& \\hfill 700\\\\ \\hfill -1,400& \\hfill 700\\end{array}\\right][\/latex]<\/li>\r\n \t
  16. [latex]\\left[\\begin{array}{cc}\\hfill 332,500& \\hfill 927,500\\\\ \\hfill -227,500& \\hfill 87,500\\end{array}\\right][\/latex]<\/li>\r\n \t
  17. [latex]\\left[\\begin{array}{cc}\\hfill 490,000& \\hfill 0\\\\ \\hfill 0& \\hfill 490,000\\end{array}\\right][\/latex]<\/li>\r\n \t
  18. [latex]\\left[\\begin{array}{ccc}\\hfill -2& \\hfill 3& \\hfill 4\\\\ \\hfill -7& \\hfill 9& \\hfill -7\\end{array}\\right][\/latex]<\/li>\r\n \t
  19. [latex]\\left[\\begin{array}{ccc}\\hfill -4& \\hfill 29& \\hfill 21\\\\ \\hfill -27& \\hfill -3& \\hfill 1\\end{array}\\right][\/latex]<\/li>\r\n \t
  20. [latex]\\left[\\begin{array}{ccc}\\hfill -3& \\hfill -2& \\hfill -2\\\\ \\hfill -28& \\hfill 59& \\hfill 46\\\\ \\hfill -4& \\hfill 16& \\hfill 7\\end{array}\\right][\/latex]<\/li>\r\n \t
  21. [latex]\\left[\\begin{array}{ccc}\\hfill 1& \\hfill -18& \\hfill -9\\\\ \\hfill -198& \\hfill 505& \\hfill 369\\\\ \\hfill -72& \\hfill 126& \\hfill 91\\end{array}\\right][\/latex]<\/li>\r\n \t
  22. [latex]\\left[\\begin{array}{cc}\\hfill 0& \\hfill 1.6\\\\ \\hfill 9& \\hfill -1\\end{array}\\right][\/latex]<\/li>\r\n<\/ol>\r\n

    Solving System of Equations using Matrices<\/h2>\r\n
      \r\n \t
    1. [latex]\\left[\\begin{array}{ccc}\\hfill 0& \\hfill 16& \\hfill 4\\\\ \\hfill 9& \\hfill -1& \\hfill 2\\end{array}\\right][\/latex]<\/li>\r\n \t
    2. [latex]\\left[\\begin{array}{ccc}\\hfill 1& \\hfill 5& \\hfill 8\\\\ \\hfill 12& \\hfill 3& \\hfill 0\\\\ \\hfill 3& \\hfill 4& \\hfill 9\\end{array}\\right]\\left[\\begin{array}{c}\\hfill 16\\ \\hfill 4\\\\ \\hfill -7\\end{array}\\right][\/latex]<\/li>\r\n \t
    3. [latex]-2x + 5y = 5[\/latex] [latex]6x-18y = 26[\/latex] [latex]3x + 2y = 3[\/latex]<\/li>\r\n \t
    4. [latex]-x-9y + 4z = -1[\/latex] [latex]8x + 5y + 7z = 8[\/latex] [latex]4x + 5y-2z = 12[\/latex]<\/li>\r\n \t
    5. [latex]y + 58z = 2[\/latex] [latex]8x + 7y-3z = -5[\/latex]<\/li>\r\n \t
    6. [latex](6, 7)[\/latex]<\/li>\r\n \t
    7. [latex](\\dfrac{1}{5}, \\dfrac{1}{2})[\/latex]<\/li>\r\n \t
    8. [latex](3, 4)[\/latex]<\/li>\r\n \t
    9. [latex](\\dfrac{18}{13}, \\dfrac{15}{13}, -\\dfrac{15}{13})[\/latex]<\/li>\r\n \t
    10. [latex](x, -\\dfrac{x}{2}, -1)[\/latex]<\/li>\r\n \t
    11. [latex](8, 1, -2)[\/latex]<\/li>\r\n \t
    12. [latex]860[\/latex] red velvet, [latex]1,340[\/latex] chocolate<\/li>\r\n \t
    13. [latex]4%[\/latex] for account 1, [latex]6%[\/latex] for account 2<\/li>\r\n \t
    14. [latex]$126[\/latex]<\/li>\r\n \t
    15. Banana was [latex]3%[\/latex], pumpkin was [latex]7%[\/latex], and rocky road was [latex]2%[\/latex]<\/li>\r\n \t
    16. [latex]100[\/latex] almonds, [latex]200[\/latex] cashews, [latex]600[\/latex] pistachios<\/li>\r\n<\/ol>\r\n

      Solving Systems with Inverses<\/h2>\r\n
        \r\n \t
      1. [latex]AB = BA = \\left[\\begin{array}{cc}\\hfill 1& \\hfill 0\\\\ \\hfill 0& \\hfill 1\\end{array}\\right] = I[\/latex]<\/li>\r\n \t
      2. [latex]AB = BA = \\left[\\begin{array}{cc}\\hfill 1& \\hfill 0\\\\ \\hfill 0& \\hfill 1\\end{array}\\right] = I[\/latex]<\/li>\r\n \t
      3. [latex]AB = BA = \\left[\\begin{array}{ccc}\\hfill 1& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 1& \\hfill 0\\\\ \\hfill 0& \\hfill 0& \\hfill 1\\end{array}\\right] = I[\/latex]<\/li>\r\n \t
      4. [latex]\\dfrac{1}{29}\\left[\\begin{array}{cc}\\hfill 9& \\hfill 2\\\\ \\hfill -1& \\hfill 3\\end{array}\\right][\/latex]<\/li>\r\n \t
      5. [latex]\\dfrac{1}{69}\\left[\\begin{array}{cc}\\hfill -2& \\hfill 7\\\\ \\hfill 9& \\hfill 3\\end{array}\\right][\/latex]<\/li>\r\n \t
      6. [latex]\\dfrac{1}{17}\\left[\\begin{array}{ccc}\\hfill -5& \\hfill 5& \\hfill -3\\\\ \\hfill 20& \\hfill -3& \\hfill 12\\\\ \\hfill 1& \\hfill -1& \\hfill 4\\end{array}\\right][\/latex]<\/li>\r\n \t
      7. [latex]\\dfrac{1}{209}\\left[\\begin{array}{ccc}\\hfill 47& \\hfill -57& \\hfill 69\\\\ \\hfill 10& \\hfill 19& \\hfill -12\\\\ \\hfill -24& \\hfill 38& \\hfill -13\\end{array}\\right][\/latex]<\/li>\r\n \t
      8. [latex]\\left[\\begin{array}{ccc}\\hfill 18& \\hfill 60& \\hfill -168\\\\ \\hfill -56& \\hfill -140& \\hfill 448\\\\ \\hfill 40& \\hfill 80& \\hfill -280\\end{array}\\right][\/latex]<\/li>\r\n \t
      9. [latex](-5, 6)[\/latex]<\/li>\r\n \t
      10. [latex](2, 0)[\/latex]<\/li>\r\n \t
      11. [latex](\\dfrac{1}{3}, -\\dfrac{5}{2})[\/latex]<\/li>\r\n \t
      12. [latex](7, \\dfrac{1}{2}, \\dfrac{1}{5})[\/latex]<\/li>\r\n \t
      13. [latex](5, 0, -1)[\/latex]<\/li>\r\n \t
      14. [latex]\\dfrac{1}{34}(-35, -97, -154)[\/latex]<\/li>\r\n \t
      15. [latex]\\dfrac{1}{2}\\left[\\begin{array}{cccc}\\hfill 2& \\hfill 1& \\hfill -1& \\hfill -1\\\\ \\hfill 0& \\hfill 1& \\hfill 1& \\hfill -1\\\\ \\hfill 0& \\hfill -1& \\hfill 1& \\hfill 1\\\\ \\hfill 0& \\hfill 1& \\hfill -1& \\hfill 1\\end{array}\\right][\/latex]<\/li>\r\n \t
      16. [latex]\\dfrac{1}{30}\\left[\\begin{array}{cccc}\\hfill 3& \\hfill 2& \\hfill 1& \\hfill -7\\\\ \\hfill 18& \\hfill -53& \\hfill 32& \\hfill 10\\\\ \\hfill 24& \\hfill -36& \\hfill 21& \\hfill 9\\\\ \\hfill -9& \\hfill 46& \\hfill -16& \\hfill -5\\end{array}\\right][\/latex]<\/li>\r\n \t
      17. [latex]\\left[\\begin{array}{cccccc}\\hfill 1& \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 1& \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 0& \\hfill 1& \\hfill 0& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 1& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 1& \\hfill 0\\\\ \\hfill -1& \\hfill -1& \\hfill -1& \\hfill -1& \\hfill -1& \\hfill 1\\end{array}\\right][\/latex]<\/li>\r\n \t
      18. [latex]50%[\/latex] oranges, [latex]25%[\/latex] bananas, [latex]20%[\/latex] apples<\/li>\r\n \t
      19. [latex]10[\/latex] straw hats, [latex]50[\/latex] beanies, [latex]40[\/latex] cowboy hats<\/li>\r\n \t
      20. Micah ate [latex]6[\/latex], Joe ate [latex]3[\/latex], and Albert ate [latex]3[\/latex].<\/li>\r\n \t
      21. [latex]124[\/latex] oranges, [latex]10[\/latex] lemons, [latex]8[\/latex] pomegranates<\/li>\r\n<\/ol>","rendered":"

        Introduction to Matrices and Matrix Operations<\/h2>\n
          \n
        1. [latex]\\left[\\begin{array}{cc}\\hfill 11& \\hfill 19\\\\ \\hfill 15& \\hfill 94\\\\ \\hfill 17& \\hfill 67\\end{array}\\right][\/latex]<\/li>\n
        2. [latex]\\left[\\begin{array}{cc}\\hfill -4& \\hfill 2\\\\ \\hfill 8& \\hfill 1\\end{array}\\right][\/latex]<\/li>\n
        3. Unidentified; dimensions do not match<\/li>\n
        4. [latex]\\left[\\begin{array}{cc}\\hfill 9& \\hfill 27\\\\ \\hfill 63& \\hfill 36\\\\ \\hfill 0& \\hfill 192\\end{array}\\right][\/latex]<\/li>\n
        5. [latex]\\left[\\begin{array}{cccc}\\hfill -64& \\hfill -12& \\hfill -28& \\hfill -72\\\\ \\hfill -360& \\hfill -20& \\hfill -12& \\hfill -116\\end{array}\\right][\/latex]<\/li>\n
        6. [latex]\\left[\\begin{array}{ccc}\\hfill 1,800& \\hfill 1,200& \\hfill 1,300\\\\ \\hfill 800& \\hfill 1,400& \\hfill 600\\\\ \\hfill 700& \\hfill 400& \\hfill 2,100\\end{array}\\right][\/latex]<\/li>\n
        7. [latex]\\left[\\begin{array}{cc}\\hfill 20& \\hfill 102\\\\ \\hfill 28& \\hfill 28\\end{array}\\right][\/latex]<\/li>\n
        8. [latex]\\left[\\begin{array}{ccc}\\hfill 60& \\hfill 41& \\hfill 2\\\\ \\hfill -16& \\hfill 120& \\hfill -216\\end{array}\\right][\/latex]<\/li>\n
        9. [latex]\\left[\\begin{array}{ccc}\\hfill -68& \\hfill 24& \\hfill 136\\\\ \\hfill -54& \\hfill -12& \\hfill 64\\\\ \\hfill -57& \\hfill 30& \\hfill 128\\end{array}\\right][\/latex]<\/li>\n
        10. Undefined; dimensions do not match.<\/li>\n
        11. [latex]\\left[\\begin{array}{ccc}\\hfill -8& \\hfill 41& \\hfill -3\\\\ \\hfill 40& \\hfill -15& \\hfill -14\\\\ \\hfill 4& \\hfill 27& \\hfill 42\\end{array}\\right][\/latex]<\/li>\n
        12. [latex]\\left[\\begin{array}{ccc}\\hfill -840& \\hfill 650& \\hfill -530\\\\ \\hfill 330& \\hfill 360& \\hfill 250\\\\ \\hfill -10& \\hfill 900& \\hfill 110\\end{array}\\right][\/latex]<\/li>\n
        13. [latex]\\left[\\begin{array}{cc}\\hfill -350& \\hfill 1,050\\\\ \\hfill 350& \\hfill 350\\end{array}\\right][\/latex]<\/li>\n
        14. Undefined; inner dimensions do not match.<\/li>\n
        15. [latex]\\left[\\begin{array}{cc}\\hfill 1,400& \\hfill 700\\\\ \\hfill -1,400& \\hfill 700\\end{array}\\right][\/latex]<\/li>\n
        16. [latex]\\left[\\begin{array}{cc}\\hfill 332,500& \\hfill 927,500\\\\ \\hfill -227,500& \\hfill 87,500\\end{array}\\right][\/latex]<\/li>\n
        17. [latex]\\left[\\begin{array}{cc}\\hfill 490,000& \\hfill 0\\\\ \\hfill 0& \\hfill 490,000\\end{array}\\right][\/latex]<\/li>\n
        18. [latex]\\left[\\begin{array}{ccc}\\hfill -2& \\hfill 3& \\hfill 4\\\\ \\hfill -7& \\hfill 9& \\hfill -7\\end{array}\\right][\/latex]<\/li>\n
        19. [latex]\\left[\\begin{array}{ccc}\\hfill -4& \\hfill 29& \\hfill 21\\\\ \\hfill -27& \\hfill -3& \\hfill 1\\end{array}\\right][\/latex]<\/li>\n
        20. [latex]\\left[\\begin{array}{ccc}\\hfill -3& \\hfill -2& \\hfill -2\\\\ \\hfill -28& \\hfill 59& \\hfill 46\\\\ \\hfill -4& \\hfill 16& \\hfill 7\\end{array}\\right][\/latex]<\/li>\n
        21. [latex]\\left[\\begin{array}{ccc}\\hfill 1& \\hfill -18& \\hfill -9\\\\ \\hfill -198& \\hfill 505& \\hfill 369\\\\ \\hfill -72& \\hfill 126& \\hfill 91\\end{array}\\right][\/latex]<\/li>\n
        22. [latex]\\left[\\begin{array}{cc}\\hfill 0& \\hfill 1.6\\\\ \\hfill 9& \\hfill -1\\end{array}\\right][\/latex]<\/li>\n<\/ol>\n

          Solving System of Equations using Matrices<\/h2>\n
            \n
          1. [latex]\\left[\\begin{array}{ccc}\\hfill 0& \\hfill 16& \\hfill 4\\\\ \\hfill 9& \\hfill -1& \\hfill 2\\end{array}\\right][\/latex]<\/li>\n
          2. [latex]\\left[\\begin{array}{ccc}\\hfill 1& \\hfill 5& \\hfill 8\\\\ \\hfill 12& \\hfill 3& \\hfill 0\\\\ \\hfill 3& \\hfill 4& \\hfill 9\\end{array}\\right]\\left[\\begin{array}{c}\\hfill 16\\ \\hfill 4\\\\ \\hfill -7\\end{array}\\right][\/latex]<\/li>\n
          3. [latex]-2x + 5y = 5[\/latex] [latex]6x-18y = 26[\/latex] [latex]3x + 2y = 3[\/latex]<\/li>\n
          4. [latex]-x-9y + 4z = -1[\/latex] [latex]8x + 5y + 7z = 8[\/latex] [latex]4x + 5y-2z = 12[\/latex]<\/li>\n
          5. [latex]y + 58z = 2[\/latex] [latex]8x + 7y-3z = -5[\/latex]<\/li>\n
          6. [latex](6, 7)[\/latex]<\/li>\n
          7. [latex](\\dfrac{1}{5}, \\dfrac{1}{2})[\/latex]<\/li>\n
          8. [latex](3, 4)[\/latex]<\/li>\n
          9. [latex](\\dfrac{18}{13}, \\dfrac{15}{13}, -\\dfrac{15}{13})[\/latex]<\/li>\n
          10. [latex](x, -\\dfrac{x}{2}, -1)[\/latex]<\/li>\n
          11. [latex](8, 1, -2)[\/latex]<\/li>\n
          12. [latex]860[\/latex] red velvet, [latex]1,340[\/latex] chocolate<\/li>\n
          13. [latex]4%[\/latex] for account 1, [latex]6%[\/latex] for account 2<\/li>\n
          14. [latex]$126[\/latex]<\/li>\n
          15. Banana was [latex]3%[\/latex], pumpkin was [latex]7%[\/latex], and rocky road was [latex]2%[\/latex]<\/li>\n
          16. [latex]100[\/latex] almonds, [latex]200[\/latex] cashews, [latex]600[\/latex] pistachios<\/li>\n<\/ol>\n

            Solving Systems with Inverses<\/h2>\n
              \n
            1. [latex]AB = BA = \\left[\\begin{array}{cc}\\hfill 1& \\hfill 0\\\\ \\hfill 0& \\hfill 1\\end{array}\\right] = I[\/latex]<\/li>\n
            2. [latex]AB = BA = \\left[\\begin{array}{cc}\\hfill 1& \\hfill 0\\\\ \\hfill 0& \\hfill 1\\end{array}\\right] = I[\/latex]<\/li>\n
            3. [latex]AB = BA = \\left[\\begin{array}{ccc}\\hfill 1& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 1& \\hfill 0\\\\ \\hfill 0& \\hfill 0& \\hfill 1\\end{array}\\right] = I[\/latex]<\/li>\n
            4. [latex]\\dfrac{1}{29}\\left[\\begin{array}{cc}\\hfill 9& \\hfill 2\\\\ \\hfill -1& \\hfill 3\\end{array}\\right][\/latex]<\/li>\n
            5. [latex]\\dfrac{1}{69}\\left[\\begin{array}{cc}\\hfill -2& \\hfill 7\\\\ \\hfill 9& \\hfill 3\\end{array}\\right][\/latex]<\/li>\n
            6. [latex]\\dfrac{1}{17}\\left[\\begin{array}{ccc}\\hfill -5& \\hfill 5& \\hfill -3\\\\ \\hfill 20& \\hfill -3& \\hfill 12\\\\ \\hfill 1& \\hfill -1& \\hfill 4\\end{array}\\right][\/latex]<\/li>\n
            7. [latex]\\dfrac{1}{209}\\left[\\begin{array}{ccc}\\hfill 47& \\hfill -57& \\hfill 69\\\\ \\hfill 10& \\hfill 19& \\hfill -12\\\\ \\hfill -24& \\hfill 38& \\hfill -13\\end{array}\\right][\/latex]<\/li>\n
            8. [latex]\\left[\\begin{array}{ccc}\\hfill 18& \\hfill 60& \\hfill -168\\\\ \\hfill -56& \\hfill -140& \\hfill 448\\\\ \\hfill 40& \\hfill 80& \\hfill -280\\end{array}\\right][\/latex]<\/li>\n
            9. [latex](-5, 6)[\/latex]<\/li>\n
            10. [latex](2, 0)[\/latex]<\/li>\n
            11. [latex](\\dfrac{1}{3}, -\\dfrac{5}{2})[\/latex]<\/li>\n
            12. [latex](7, \\dfrac{1}{2}, \\dfrac{1}{5})[\/latex]<\/li>\n
            13. [latex](5, 0, -1)[\/latex]<\/li>\n
            14. [latex]\\dfrac{1}{34}(-35, -97, -154)[\/latex]<\/li>\n
            15. [latex]\\dfrac{1}{2}\\left[\\begin{array}{cccc}\\hfill 2& \\hfill 1& \\hfill -1& \\hfill -1\\\\ \\hfill 0& \\hfill 1& \\hfill 1& \\hfill -1\\\\ \\hfill 0& \\hfill -1& \\hfill 1& \\hfill 1\\\\ \\hfill 0& \\hfill 1& \\hfill -1& \\hfill 1\\end{array}\\right][\/latex]<\/li>\n
            16. [latex]\\dfrac{1}{30}\\left[\\begin{array}{cccc}\\hfill 3& \\hfill 2& \\hfill 1& \\hfill -7\\\\ \\hfill 18& \\hfill -53& \\hfill 32& \\hfill 10\\\\ \\hfill 24& \\hfill -36& \\hfill 21& \\hfill 9\\\\ \\hfill -9& \\hfill 46& \\hfill -16& \\hfill -5\\end{array}\\right][\/latex]<\/li>\n
            17. [latex]\\left[\\begin{array}{cccccc}\\hfill 1& \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 1& \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 0& \\hfill 1& \\hfill 0& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 1& \\hfill 0& \\hfill 0\\\\ \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 0& \\hfill 1& \\hfill 0\\\\ \\hfill -1& \\hfill -1& \\hfill -1& \\hfill -1& \\hfill -1& \\hfill 1\\end{array}\\right][\/latex]<\/li>\n
            18. [latex]50%[\/latex] oranges, [latex]25%[\/latex] bananas, [latex]20%[\/latex] apples<\/li>\n
            19. [latex]10[\/latex] straw hats, [latex]50[\/latex] beanies, [latex]40[\/latex] cowboy hats<\/li>\n
            20. Micah ate [latex]6[\/latex], Joe ate [latex]3[\/latex], and Albert ate [latex]3[\/latex].<\/li>\n
            21. [latex]124[\/latex] oranges, [latex]10[\/latex] lemons, [latex]8[\/latex] pomegranates<\/li>\n<\/ol>\n","protected":false},"author":15,"menu_order":14,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":106,"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\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/135"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":1,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/135\/revisions"}],"predecessor-version":[{"id":143,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/135\/revisions\/143"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/parts\/106"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/135\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/media?parent=135"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapter-type?post=135"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/contributor?post=135"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/license?post=135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}