{"id":320,"date":"2026-02-02T19:36:45","date_gmt":"2026-02-02T19:36:45","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/?post_type=chapter&p=320"},"modified":"2026-08-07T17:00:27","modified_gmt":"2026-08-07T17:00:27","slug":"matrices-and-matrix-operations-get-stronger-answer-key","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/matrices-and-matrix-operations-get-stronger-answer-key\/","title":{"raw":"Systems of Equations and Inequalities: Get Stronger Answer Key","rendered":"Systems of Equations and Inequalities: Get Stronger Answer Key"},"content":{"raw":"Systems of Linear Equations: Two Variables<\/h2>\r\n1. No, you can either have zero, one, or infinitely many. Examine graphs.\r\n\r\n2. You can solve by substitution (isolating [latex]x[\/latex] or [latex]y[\/latex] ), graphically, or by addition.\r\n\r\n3. Yes\r\n\r\n4. Yes\r\n\r\n5. [latex]\\left(-1,2\\right)[\/latex]\r\n\r\n6. [latex]\\left(-3,1\\right)[\/latex]\r\n\r\n7. [latex]\\left(-\\frac{3}{5},0\\right)[\/latex]\r\n\r\n8. No solutions exist.\r\n\r\n9. [latex]\\left(\\frac{72}{5},\\frac{132}{5}\\right)[\/latex]\r\n\r\n10. [latex]\\left(6,-6\\right)[\/latex]\r\n\r\n11. [latex]\\left(-\\frac{1}{2},\\frac{1}{10}\\right)[\/latex]\r\n\r\n12. No solutions exist.\r\n\r\n13. [latex]\\left(-\\frac{1}{5},\\frac{2}{3}\\right)[\/latex]\r\n\r\n14. [latex]\\left(x,\\frac{x+3}{2}\\right)[\/latex]\r\n\r\n15. [latex]\\left(-4,4\\right)[\/latex]\r\n\r\n16. [latex]\\left(\\frac{1}{2},\\frac{1}{8}\\right)[\/latex]\r\n\r\n17. [latex]\\left(\\frac{1}{6},0\\right)[\/latex]\r\n\r\n18. [latex]\\left(x,2\\left(7x - 6\\right)\\right)[\/latex]\r\n\r\n19. [latex]\\left(-\\frac{5}{6},\\frac{4}{3}\\right)[\/latex]\r\n\r\n20. Consistent with one solution\r\n\r\n21. Consistent with one solution\r\n\r\n22. Dependent with infinitely many solutions\r\n\r\n23. [latex]\\left(-3.08,4.91\\right)[\/latex]\r\n\r\n24. [latex]\\left(-1.52,2.29\\right)[\/latex]\r\n\r\n25. The numbers are 7.5 and 20.5.\r\n\r\n26. 24,000\r\n\r\n27. 790 sophomores, 805 freshman\r\n\r\n28. 56 men, 74 women\r\n\r\n29. 10 gallons of 10% solution, 15 gallons of 60% solution\r\n\r\n30. $12,500 in the first account, $10,500 in the second account.\r\nSystems of Linear Equations: Three Variables<\/h2>\r\n1. No, there can be only one, zero, or infinitely many solutions.\r\n\r\n2. No\r\n\r\n3. Yes\r\n\r\n4. [latex]\\left(-1,4,2\\right)[\/latex]\r\n\r\n5. [latex]\\left(-\\frac{85}{107},\\frac{312}{107},\\frac{191}{107}\\right)[\/latex]\r\n\r\n6. [latex]\\left(1,\\frac{1}{2},0\\right)[\/latex]\r\n\r\n7. [latex]\\left(4,-6,1\\right)[\/latex]\r\n\r\n8. [latex]\\left(x,\\frac{1}{27}\\left(65 - 16x\\right),\\frac{x+28}{27}\\right)[\/latex]\r\n\r\n9. [latex]\\left(-\\frac{45}{13},\\frac{17}{13},-2\\right)[\/latex]\r\n\r\n10. No solutions exist\r\n\r\n11. [latex]\\left(0,0,0\\right)[\/latex]\r\n\r\n12. [latex]\\left(\\frac{4}{7},-\\frac{1}{7},-\\frac{3}{7}\\right)[\/latex]\r\n\r\n13. [latex]\\left(7,20,16\\right)[\/latex]\r\n\r\n14. [latex]\\left(\\frac{1}{2},\\frac{1}{5},\\frac{4}{5}\\right)[\/latex]\r\n\r\n15. [latex]\\left(2,0,0\\right)[\/latex]\r\n\r\n16. 24, 36, 48\r\n\r\n17. 70 grandparents, 140 parents, 190 children\r\n\r\n18. Your share was $19.95, Sarah's share was $40, and your other roommate's share was $22.05.\r\n\r\n19. There are infinitely many solutions; we need more information\r\n\r\n20. 500 students, 225 children, and 450 adults\r\n\r\n21. $400,000 in the account that pays 3% interest, $500,000 in the account that pays 4% interest, and $100,000 in the account that pays 2% interest.\r\n\r\n22. The United States consumed 26.3%, Japan 7.1%, and China 6.4% of the world's oil.\r\n\r\n23. Birds were 19.3%, fish were 18.6%, and mammals were 17.1% of endangered species\r\nSystems of Nonlinear Equations and Inequalities: Two Variables<\/h2>\r\n1. No. There does not need to be a feasible region. Consider a system that is bounded by two parallel lines. One inequality represents the region above the upper line; the other represents the region below the lower line. In this case, no points in the plane are located in both regions; hence there is no feasible region.\r\n\r\n2. [latex]\\left(0,-3\\right),\\left(3,0\\right)[\/latex]\r\n\r\n3. [latex]\\left(-\\frac{3\\sqrt{2}}{2},\\frac{3\\sqrt{2}}{2}\\right),\\left(\\frac{3\\sqrt{2}}{2},-\\frac{3\\sqrt{2}}{2}\\right)[\/latex]\r\n\r\n4. [latex]\\left(-3,0\\right),\\left(3,0\\right)[\/latex]\r\n\r\n5. [latex]\\left(\\frac{1}{4},-\\frac{\\sqrt{62}}{8}\\right),\\left(\\frac{1}{4},\\frac{\\sqrt{62}}{8}\\right)[\/latex]\r\n\r\n6. [latex]\\left(-\\frac{\\sqrt{398}}{4},\\frac{199}{4}\\right),\\left(\\frac{\\sqrt{398}}{4},\\frac{199}{4}\\right)[\/latex]\r\n\r\n7. [latex]\\left(0,2\\right),\\left(1,3\\right)[\/latex]\r\n\r\n8. [latex]\\left(-\\sqrt{\\frac{1}{2}\\left(\\sqrt{5}-1\\right)},\\frac{1}{2}\\left(1-\\sqrt{5}\\right)\\right),\\left(\\sqrt{\\frac{1}{2}\\left(\\sqrt{5}-1\\right)},\\frac{1}{2}\\left(1-\\sqrt{5}\\right)\\right)[\/latex]\r\n\r\n9. [latex]\\left(5,0\\right)[\/latex]\r\n\r\n10. [latex]\\left(3,0\\right)[\/latex]\r\n\r\n11. No Solutions Exist\r\n\r\n12. [latex]\\left(2,0\\right)[\/latex]\r\n\r\n13. [latex]\\left(-\\sqrt{7},-3\\right),\\left(-\\sqrt{7},3\\right),\\left(\\sqrt{7},-3\\right),\\left(\\sqrt{7},3\\right)[\/latex]\r\n\r\n14.\r\n![\"A](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3675\/2018\/09\/27181409\/CNX_Precalc_Figure_09_03_2042.jpg\")
\r\n\r\n15.\r\n![\"Two](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3675\/2018\/09\/27181412\/CNX_Precalc_Figure_09_03_2072.jpg\")
\r\n\r\n16.\r\n![\"Two](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3675\/2018\/09\/27181415\/CNX_Precalc_Figure_09_03_2092.jpg\")
\r\n\r\n17. [latex]\\left(-2\\sqrt{\\frac{70}{383}},-2\\sqrt{\\frac{35}{29}}\\right),\\left(-2\\sqrt{\\frac{70}{383}},2\\sqrt{\\frac{35}{29}}\\right),\\left(2\\sqrt{\\frac{70}{383}},-2\\sqrt{\\frac{35}{29}}\\right),\\left(2\\sqrt{\\frac{70}{383}},2\\sqrt{\\frac{35}{29}}\\right)[\/latex]\r\n\r\n18. No Solution Exists\r\n\r\n19. 12, 288\r\n\r\n20. 2\u201320 computers\r\nPartial Fractions<\/h2>\r\n1. Find a common denominator and condense your partial fractions back into a single fraction. If it matches the original expression it was decomposed correctly.\r\n\r\n2. [latex]\\frac{8}{x+3}-\\frac{5}{x - 8}[\/latex]\r\n\r\n3. [latex]\\frac{3}{5x - 2}+\\frac{4}{4x - 1}[\/latex]\r\n\r\n4. [latex]\\frac{5}{2\\left(x+3\\right)}+\\frac{5}{2\\left(x - 3\\right)}[\/latex]\r\n\r\n5. [latex]\\frac{9}{5\\left(x+2\\right)}+\\frac{11}{5\\left(x - 3\\right)}[\/latex]\r\n\r\n6. [latex]\\frac{1}{x - 2}+\\frac{2}{{\\left(x - 2\\right)}^{2}}[\/latex]\r\n\r\n7. [latex]-\\frac{6}{4x+5}+\\frac{3}{{\\left(4x+5\\right)}^{2}}[\/latex]\r\n\r\n8. [latex]\\frac{4}{x}-\\frac{3}{2\\left(x+1\\right)}+\\frac{7}{2{\\left(x+1\\right)}^{2}}[\/latex]\r\n\r\n9. [latex]\\frac{4}{x}+\\frac{2}{{x}^{2}}-\\frac{3}{3x+2}+\\frac{7}{2{\\left(3x+2\\right)}^{2}}[\/latex]\r\n\r\n10. [latex]\\frac{x+1}{{x}^{2}+x+3}+\\frac{3}{x+2}[\/latex]\r\n\r\n11. [latex]\\frac{4 - 3x}{{x}^{2}+3x+8}+\\frac{1}{x - 1}[\/latex]\r\n\r\n12. [latex]\\frac{1}{{x}^{2}+x+1}+\\frac{4}{x - 1}[\/latex]\r\n\r\n13. [latex]-\\frac{1}{4{x}^{2}+6x+9}+\\frac{1}{2x - 3}[\/latex]\r\n\r\n14. [latex]\\frac{1}{x}+\\frac{1}{x+6}-\\frac{4x}{{x}^{2}-6x+36}[\/latex]\r\n\r\n15. [latex]\\frac{x+6}{{x}^{2}+1}+\\frac{4x+3}{{\\left({x}^{2}+1\\right)}^{2}}[\/latex]\r\n\r\n16. [latex]\\frac{x+1}{x+2}+\\frac{2x+3}{{\\left(x+2\\right)}^{2}}[\/latex]\r\n\r\n17. [latex]\\frac{1}{{x}^{2}+3x+25}-\\frac{3x}{{\\left({x}^{2}+3x+25\\right)}^{2}}[\/latex]\r\n\r\n18. [latex]\\frac{1}{8x}-\\frac{x}{8\\left({x}^{2}+4\\right)}+\\frac{10-x}{2{\\left({x}^{2}+4\\right)}^{2}}[\/latex]\r\n\r\n19. [latex]-\\frac{16}{x}-\\frac{9}{{x}^{2}}+\\frac{16}{x - 1}-\\frac{7}{{\\left(x - 1\\right)}^{2}}[\/latex]\r\n\r\n20. [latex]\\frac{5}{x - 2}-\\frac{3}{10\\left(x+2\\right)}+\\frac{7}{x+8}-\\frac{7}{10\\left(x - 8\\right)}[\/latex]\r\n\r\n21. [latex]-\\frac{5}{4x}-\\frac{5}{2\\left(x+2\\right)}+\\frac{11}{2\\left(x+4\\right)}+\\frac{5}{4\\left(x+4\\right)}[\/latex]","rendered":"Systems of Linear Equations: Two Variables<\/h2>\n
1. No, you can either have zero, one, or infinitely many. Examine graphs.<\/p>\n
2. You can solve by substitution (isolating [latex]x[\/latex] or [latex]y[\/latex] ), graphically, or by addition.<\/p>\n
3. Yes<\/p>\n
4. Yes<\/p>\n
5. [latex]\\left(-1,2\\right)[\/latex]<\/p>\n
6. [latex]\\left(-3,1\\right)[\/latex]<\/p>\n
7. [latex]\\left(-\\frac{3}{5},0\\right)[\/latex]<\/p>\n
8. No solutions exist.<\/p>\n
9. [latex]\\left(\\frac{72}{5},\\frac{132}{5}\\right)[\/latex]<\/p>\n
10. [latex]\\left(6,-6\\right)[\/latex]<\/p>\n
11. [latex]\\left(-\\frac{1}{2},\\frac{1}{10}\\right)[\/latex]<\/p>\n
12. No solutions exist.<\/p>\n
13. [latex]\\left(-\\frac{1}{5},\\frac{2}{3}\\right)[\/latex]<\/p>\n
14. [latex]\\left(x,\\frac{x+3}{2}\\right)[\/latex]<\/p>\n
15. [latex]\\left(-4,4\\right)[\/latex]<\/p>\n
16. [latex]\\left(\\frac{1}{2},\\frac{1}{8}\\right)[\/latex]<\/p>\n
17. [latex]\\left(\\frac{1}{6},0\\right)[\/latex]<\/p>\n
18. [latex]\\left(x,2\\left(7x - 6\\right)\\right)[\/latex]<\/p>\n
19. [latex]\\left(-\\frac{5}{6},\\frac{4}{3}\\right)[\/latex]<\/p>\n
20. Consistent with one solution<\/p>\n
21. Consistent with one solution<\/p>\n
22. Dependent with infinitely many solutions<\/p>\n
23. [latex]\\left(-3.08,4.91\\right)[\/latex]<\/p>\n
24. [latex]\\left(-1.52,2.29\\right)[\/latex]<\/p>\n
25. The numbers are 7.5 and 20.5.<\/p>\n
26. 24,000<\/p>\n
27. 790 sophomores, 805 freshman<\/p>\n
28. 56 men, 74 women<\/p>\n
29. 10 gallons of 10% solution, 15 gallons of 60% solution<\/p>\n
30. $12,500 in the first account, $10,500 in the second account.<\/p>\n
Systems of Linear Equations: Three Variables<\/h2>\n
1. No, there can be only one, zero, or infinitely many solutions.<\/p>\n
2. No<\/p>\n
3. Yes<\/p>\n
4. [latex]\\left(-1,4,2\\right)[\/latex]<\/p>\n
5. [latex]\\left(-\\frac{85}{107},\\frac{312}{107},\\frac{191}{107}\\right)[\/latex]<\/p>\n
6. [latex]\\left(1,\\frac{1}{2},0\\right)[\/latex]<\/p>\n
7. [latex]\\left(4,-6,1\\right)[\/latex]<\/p>\n
8. [latex]\\left(x,\\frac{1}{27}\\left(65 - 16x\\right),\\frac{x+28}{27}\\right)[\/latex]<\/p>\n
9. [latex]\\left(-\\frac{45}{13},\\frac{17}{13},-2\\right)[\/latex]<\/p>\n
10. No solutions exist<\/p>\n
11. [latex]\\left(0,0,0\\right)[\/latex]<\/p>\n
12. [latex]\\left(\\frac{4}{7},-\\frac{1}{7},-\\frac{3}{7}\\right)[\/latex]<\/p>\n
13. [latex]\\left(7,20,16\\right)[\/latex]<\/p>\n
14. [latex]\\left(\\frac{1}{2},\\frac{1}{5},\\frac{4}{5}\\right)[\/latex]<\/p>\n
15. [latex]\\left(2,0,0\\right)[\/latex]<\/p>\n
16. 24, 36, 48<\/p>\n
17. 70 grandparents, 140 parents, 190 children<\/p>\n
18. Your share was $19.95, Sarah’s share was $40, and your other roommate’s share was $22.05.<\/p>\n
19. There are infinitely many solutions; we need more information<\/p>\n
20. 500 students, 225 children, and 450 adults<\/p>\n
21. $400,000 in the account that pays 3% interest, $500,000 in the account that pays 4% interest, and $100,000 in the account that pays 2% interest.<\/p>\n
22. The United States consumed 26.3%, Japan 7.1%, and China 6.4% of the world’s oil.<\/p>\n
23. Birds were 19.3%, fish were 18.6%, and mammals were 17.1% of endangered species<\/p>\n
Systems of Nonlinear Equations and Inequalities: Two Variables<\/h2>\n
1. No. There does not need to be a feasible region. Consider a system that is bounded by two parallel lines. One inequality represents the region above the upper line; the other represents the region below the lower line. In this case, no points in the plane are located in both regions; hence there is no feasible region.<\/p>\n
2. [latex]\\left(0,-3\\right),\\left(3,0\\right)[\/latex]<\/p>\n
3. [latex]\\left(-\\frac{3\\sqrt{2}}{2},\\frac{3\\sqrt{2}}{2}\\right),\\left(\\frac{3\\sqrt{2}}{2},-\\frac{3\\sqrt{2}}{2}\\right)[\/latex]<\/p>\n
4. [latex]\\left(-3,0\\right),\\left(3,0\\right)[\/latex]<\/p>\n
5. [latex]\\left(\\frac{1}{4},-\\frac{\\sqrt{62}}{8}\\right),\\left(\\frac{1}{4},\\frac{\\sqrt{62}}{8}\\right)[\/latex]<\/p>\n
6. [latex]\\left(-\\frac{\\sqrt{398}}{4},\\frac{199}{4}\\right),\\left(\\frac{\\sqrt{398}}{4},\\frac{199}{4}\\right)[\/latex]<\/p>\n
7. [latex]\\left(0,2\\right),\\left(1,3\\right)[\/latex]<\/p>\n
8. [latex]\\left(-\\sqrt{\\frac{1}{2}\\left(\\sqrt{5}-1\\right)},\\frac{1}{2}\\left(1-\\sqrt{5}\\right)\\right),\\left(\\sqrt{\\frac{1}{2}\\left(\\sqrt{5}-1\\right)},\\frac{1}{2}\\left(1-\\sqrt{5}\\right)\\right)[\/latex]<\/p>\n
9. [latex]\\left(5,0\\right)[\/latex]<\/p>\n
10. [latex]\\left(3,0\\right)[\/latex]<\/p>\n
11. No Solutions Exist<\/p>\n
12. [latex]\\left(2,0\\right)[\/latex]<\/p>\n
13. [latex]\\left(-\\sqrt{7},-3\\right),\\left(-\\sqrt{7},3\\right),\\left(\\sqrt{7},-3\\right),\\left(\\sqrt{7},3\\right)[\/latex]<\/p>\n
14.
\n<\/p>\n
15.
\n<\/p>\n
16.
\n<\/p>\n
17. [latex]\\left(-2\\sqrt{\\frac{70}{383}},-2\\sqrt{\\frac{35}{29}}\\right),\\left(-2\\sqrt{\\frac{70}{383}},2\\sqrt{\\frac{35}{29}}\\right),\\left(2\\sqrt{\\frac{70}{383}},-2\\sqrt{\\frac{35}{29}}\\right),\\left(2\\sqrt{\\frac{70}{383}},2\\sqrt{\\frac{35}{29}}\\right)[\/latex]<\/p>\n
18. No Solution Exists<\/p>\n
19. 12, 288<\/p>\n
20. 2\u201320 computers<\/p>\n
Partial Fractions<\/h2>\n
1. Find a common denominator and condense your partial fractions back into a single fraction. If it matches the original expression it was decomposed correctly.<\/p>\n
2. [latex]\\frac{8}{x+3}-\\frac{5}{x - 8}[\/latex]<\/p>\n
3. [latex]\\frac{3}{5x - 2}+\\frac{4}{4x - 1}[\/latex]<\/p>\n
4. [latex]\\frac{5}{2\\left(x+3\\right)}+\\frac{5}{2\\left(x - 3\\right)}[\/latex]<\/p>\n
5. [latex]\\frac{9}{5\\left(x+2\\right)}+\\frac{11}{5\\left(x - 3\\right)}[\/latex]<\/p>\n
6. [latex]\\frac{1}{x - 2}+\\frac{2}{{\\left(x - 2\\right)}^{2}}[\/latex]<\/p>\n
7. [latex]-\\frac{6}{4x+5}+\\frac{3}{{\\left(4x+5\\right)}^{2}}[\/latex]<\/p>\n
8. [latex]\\frac{4}{x}-\\frac{3}{2\\left(x+1\\right)}+\\frac{7}{2{\\left(x+1\\right)}^{2}}[\/latex]<\/p>\n
9. [latex]\\frac{4}{x}+\\frac{2}{{x}^{2}}-\\frac{3}{3x+2}+\\frac{7}{2{\\left(3x+2\\right)}^{2}}[\/latex]<\/p>\n
10. [latex]\\frac{x+1}{{x}^{2}+x+3}+\\frac{3}{x+2}[\/latex]<\/p>\n
11. [latex]\\frac{4 - 3x}{{x}^{2}+3x+8}+\\frac{1}{x - 1}[\/latex]<\/p>\n
12. [latex]\\frac{1}{{x}^{2}+x+1}+\\frac{4}{x - 1}[\/latex]<\/p>\n
13. [latex]-\\frac{1}{4{x}^{2}+6x+9}+\\frac{1}{2x - 3}[\/latex]<\/p>\n
14. [latex]\\frac{1}{x}+\\frac{1}{x+6}-\\frac{4x}{{x}^{2}-6x+36}[\/latex]<\/p>\n
15. [latex]\\frac{x+6}{{x}^{2}+1}+\\frac{4x+3}{{\\left({x}^{2}+1\\right)}^{2}}[\/latex]<\/p>\n
16. [latex]\\frac{x+1}{x+2}+\\frac{2x+3}{{\\left(x+2\\right)}^{2}}[\/latex]<\/p>\n
17. [latex]\\frac{1}{{x}^{2}+3x+25}-\\frac{3x}{{\\left({x}^{2}+3x+25\\right)}^{2}}[\/latex]<\/p>\n
18. [latex]\\frac{1}{8x}-\\frac{x}{8\\left({x}^{2}+4\\right)}+\\frac{10-x}{2{\\left({x}^{2}+4\\right)}^{2}}[\/latex]<\/p>\n
19. [latex]-\\frac{16}{x}-\\frac{9}{{x}^{2}}+\\frac{16}{x - 1}-\\frac{7}{{\\left(x - 1\\right)}^{2}}[\/latex]<\/p>\n
20. [latex]\\frac{5}{x - 2}-\\frac{3}{10\\left(x+2\\right)}+\\frac{7}{x+8}-\\frac{7}{10\\left(x - 8\\right)}[\/latex]<\/p>\n
21. [latex]-\\frac{5}{4x}-\\frac{5}{2\\left(x+2\\right)}+\\frac{11}{2\\left(x+4\\right)}+\\frac{5}{4\\left(x+4\\right)}[\/latex]<\/p>\n","protected":false},"author":13,"menu_order":9,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":224,"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\/320"}],"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\/13"}],"version-history":[{"count":6,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/320\/revisions"}],"predecessor-version":[{"id":400,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/320\/revisions\/400"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/parts\/224"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/320\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/media?parent=320"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapter-type?post=320"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/contributor?post=320"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/license?post=320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}