{"id":31,"date":"2025-01-02T23:02:30","date_gmt":"2025-01-02T23:02:30","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/numbers-and-their-applications-get-stronger-answer-key\/"},"modified":"2025-01-02T23:02:30","modified_gmt":"2025-01-02T23:02:30","slug":"numbers-and-their-applications-get-stronger-answer-key","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/numbers-and-their-applications-get-stronger-answer-key\/","title":{"raw":"Numbers and Their Applications: Get Stronger Answer Key","rendered":"Numbers and Their Applications: Get Stronger Answer Key"},"content":{"raw":"\n<h3>Name Decimals<\/h3>\n<p>In the following exercises, name each decimal.<\/p>\n<ol start=\"1\">\n\t<li>five and five tenths<\/li>\n\t<li>five and one hundredth<\/li>\n\t<li>eight and seventy-one hundredths<\/li>\n\t<li>two thousandths<\/li>\n\t<li>three hundred eighty-one thousandths<\/li>\n\t<li>negative seventeen and nine tenths<\/li>\n<\/ol>\n<h3>Write Decimals<\/h3>\n<p>In the following exercises, translate the name into a decimal number.<\/p>\n<ol start=\"7\">\n\t<li>[latex]8.03[\/latex]<\/li>\n\t<li>[latex]29.81[\/latex]<\/li>\n\t<li>[latex]0.7[\/latex]<\/li>\n\t<li>[latex]0.001[\/latex]<\/li>\n\t<li>[latex]0.029[\/latex]<\/li>\n\t<li>[latex]\u221211.0009[\/latex]<\/li>\n\t<li>[latex]13.0395[\/latex]<\/li>\n<\/ol>\n<h3>Convert Decimals to Fractions or Mixed Numbers<\/h3>\n<p>In the following exercises, convert each decimal to a fraction or mixed number.<\/p>\n<ol start=\"14\">\n\t<li>[latex] 1 \\frac{99}{100} [\/latex]<\/li>\n\t<li>[latex] 15 \\frac{7}{10} [\/latex]<\/li>\n\t<li>[latex] \\frac{239}{1000} [\/latex]<\/li>\n\t<li>[latex] \\frac{13}{100} [\/latex]<\/li>\n\t<li>[latex] \\frac{11}{1000} [\/latex]<\/li>\n\t<li>[latex] - \\frac{7}{100000} [\/latex]<\/li>\n\t<li>[latex] 6 \\frac{2}{5} [\/latex]<\/li>\n\t<li>[latex] 7 \\frac{1}{20} [\/latex]<\/li>\n\t<li>[latex] 4 \\frac{3}{500} [\/latex]<\/li>\n\t<li>[latex] 10 \\frac{1}{4} [\/latex]<\/li>\n\t<li>[latex] 1 \\frac{81}{250} [\/latex]<\/li>\n\t<li>[latex] 14 \\frac{1}{8} [\/latex]<\/li>\n<\/ol>\n<h3>Locate Decimals on the Number Line<\/h3>\n<ol start=\"26\">In the following exercises, locate each number on a number line.\n\n\t<li><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221530\/CNX_BMath_Figure_05_01_201_img.png\" alt=\"There is a number line shown with integers from negative 4 to 4. There is a red dot between 0 and 1 labeled 0.8.\"><\/li>\n\t<li><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221532\/CNX_BMath_Figure_05_01_203_img.png\" alt=\"There is a number line shown with integers from negative 4 to 4. There is a red dot between negative 1 and 0 labeled negative 0.2.\"><\/li>\n\t<li><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221533\/CNX_BMath_Figure_05_01_209_img.png\" alt=\"This is an image of a number line. It spans from negative 5 on the left to 5 on the right. To the right of 0 are tick marks with the numbers 1, 2, 3, 4, 5 on the number line. To the left of the zero are tick marks with the numbers negative 1, negative 2, negative 3, negative 4, and negative 5. A point is plotted at 3.1.\"><\/li>\n\t<li><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221536\/CNX_BMath_Figure_05_01_206_img.png\" alt=\"There is a number line shown with integers from negative 4 to 4. There is a red dot between negative 3 and negative 2 labeled negative 2.5.\"><\/li>\n<\/ol>\n<h3>Order Decimals<\/h3>\n<p>In the following exercises, order each of the following pairs of numbers, using&nbsp;[latex] &lt; or &gt; [\/latex].<\/p>\n<ol start=\"30\">\n\t<li>[latex]&gt;[\/latex]<\/li>\n\t<li>[latex]&lt;[\/latex]<\/li>\n\t<li>[latex]&gt;[\/latex]<\/li>\n\t<li>[latex]&gt;[\/latex]<\/li>\n\t<li>[latex]&lt;[\/latex]<\/li>\n\t<li>[latex]&lt;[\/latex]<\/li>\n<\/ol>\n<h3>Round Decimals<\/h3>\n<p>In the following exercises, round each number to the nearest tenth.<\/p>\n<ol start=\"36\">\n\t<li>[latex]0.7[\/latex]<\/li>\n\t<li>[latex]2.8[\/latex]<\/li>\n<\/ol>\n<p>In the following exercises, round each number to the nearest hundredth.<\/p>\n<ol start=\"38\">\n\t<li>[latex]0.85[\/latex]<\/li>\n\t<li>[latex]5.79[\/latex]<\/li>\n\t<li>[latex]0.30[\/latex]<\/li>\n\t<li>[latex]4.10[\/latex]<\/li>\n<\/ol>\n<p>In the following exercises, round each number to the nearest \u24d0 hundredth \u24d1 tenth \u24d2 whole number.<\/p>\n<ol start=\"42\">\n\t<li>\u24d0 [latex]5.78[\/latex] \u24d1 [latex]5.8[\/latex] \u24d2 [latex]6[\/latex]<\/li>\n\t<li>\u24d0 [latex]63.48[\/latex] \u24d1 [latex]63.5[\/latex] \u24d2 [latex]63[\/latex]<\/li>\n<\/ol>\n<h2>Operations on Decimals<\/h2>\n<h3>Add and Subtract Decimals<\/h3>\n<p>In the following exercises, add or subtract.<\/p>\n<ol start=\"44\">\n\t<li>[latex]24.48[\/latex]<\/li>\n\t<li>[latex]170.88[\/latex]<\/li>\n\t<li>[latex]\u22129.23[\/latex]<\/li>\n\t<li>[latex]49.73[\/latex]<\/li>\n\t<li>[latex]\u221240.91[\/latex]<\/li>\n\t<li>[latex]\u22127.22[\/latex]<\/li>\n\t<li>[latex]\u221213.5[\/latex]<\/li>\n\t<li>[latex]35.8[\/latex]<\/li>\n\t<li>[latex]\u221227.5[\/latex]<\/li>\n\t<li>[latex]15.73[\/latex]<\/li>\n\t<li>[latex]42.51[\/latex]<\/li>\n\t<li>[latex]102.212[\/latex]<\/li>\n\t<li>[latex]51.31[\/latex]<\/li>\n\t<li>[latex]\u22124.89[\/latex]<\/li>\n<\/ol>\n<h3>Multiply Decimals<\/h3>\n<p>In the following exercises, multiply.<\/p>\n<ol start=\"58\">\n\t<li>[latex]0.12[\/latex]<\/li>\n\t<li>[latex]0.144[\/latex]<\/li>\n\t<li>[latex]42.008[\/latex]<\/li>\n\t<li>[latex]26.7528[\/latex]<\/li>\n\t<li>[latex]\u221211.653[\/latex]<\/li>\n\t<li>[latex]337.8914[\/latex]<\/li>\n\t<li>[latex]2.2302[\/latex]<\/li>\n\t<li>[latex]1.305[\/latex]<\/li>\n\t<li>[latex]92.4[\/latex]<\/li>\n\t<li>[latex]55,200[\/latex]<\/li>\n<\/ol>\n<h3>Divide Decimals<\/h3>\n<p>In the following exercises, divide.<\/p>\n<ol start=\"68\">\n\t<li>[latex]0.03[\/latex]<\/li>\n\t<li>[latex]0.19[\/latex]<\/li>\n\t<li>[latex]$0.71[\/latex]<\/li>\n\t<li>[latex]$2.44[\/latex]<\/li>\n\t<li>[latex]3[\/latex]<\/li>\n\t<li>[latex]\u22124.8[\/latex]<\/li>\n\t<li>[latex]35[\/latex]<\/li>\n\t<li>[latex]2.08[\/latex]<\/li>\n\t<li>[latex]150[\/latex]<\/li>\n\t<li>[latex]20[\/latex]<\/li>\n<\/ol>\n<h3>Mixed Practice<\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol start=\"78\">\n\t<li>[latex]19.2[\/latex]<\/li>\n\t<li>[latex]12.09[\/latex]<\/li>\n\t<li>[latex]32.706[\/latex]<\/li>\n\t<li>[latex]$48.60[\/latex]<\/li>\n\t<li>[latex]20[\/latex]<\/li>\n\t<li>[latex]2[\/latex]<\/li>\n\t<li>[latex]$17.80[\/latex]<\/li>\n<\/ol>\n<h3>Use Decimals in Money Applications<\/h3>\n<p>In the following exercises, use the strategy for applications to solve.<\/p>\n<ol start=\"85\">\n\t<li>[latex]$24.89[\/latex]<\/li>\n\t<li>[latex]$29.06[\/latex]<\/li>\n\t<li>[latex]$3.19[\/latex]<\/li>\n\t<li>[latex]181.7 pounds[\/latex]<\/li>\n\t<li>[latex]$15.00[\/latex]<\/li>\n\t<li>[latex]$296.00[\/latex]<\/li>\n\t<li>[latex]$12.75[\/latex]<\/li>\n\t<li>\n<ul>\n\t<li>[latex]$3[\/latex]<\/li>\n\t<li>[latex]$1.50[\/latex]<\/li>\n\t<li>[latex]$1[\/latex]<\/li>\n<\/ul>\n<\/li>\n\t<li>[latex]$18.64[\/latex]<\/li>\n\t<li>[latex]$259.45[\/latex]<\/li>\n<\/ol>\n<h2>Exploring The Relationship Between Decimals and Fractions<\/h2>\n<h3>Convert Fractions to Decimals<\/h3>\n<ol start=\"95\">\n\t<li>[latex]0.4[\/latex]<\/li>\n\t<li>[latex]\u22120.375[\/latex]<\/li>\n\t<li>[latex]0.85[\/latex]<\/li>\n\t<li>[latex]2.75[\/latex]<\/li>\n\t<li>[latex]\u221212.4[\/latex]<\/li>\n\t<li>[latex] -0.5 [\/latex]<\/li>\n\t<li>[latex] -1.36 [\/latex]<\/li>\n\t<li>[latex] -0.135 [\/latex]<\/li>\n<\/ol>\n<h3>Convert Fractions to Decimals and Simplify<\/h3>\n<p>In the following exercises, simplify the expression.<\/p>\n<ol start=\"103\">\n\t<li>[latex]7[\/latex]<\/li>\n\t<li>[latex]3.025[\/latex]<\/li>\n\t<li>[latex]10.58[\/latex]<\/li>\n<\/ol>\n<h3>Order Decimals and Fractions<\/h3>\n<p>In the following exercises, order each pair of numbers, using&nbsp;[latex] &lt; or &gt; [\/latex].<\/p>\n<ol start=\"106\">\n\t<li>[latex]&lt;[\/latex]<\/li>\n\t<li>[latex]&gt;[\/latex]<\/li>\n\t<li>[latex]&lt;[\/latex]<\/li>\n\t<li>[latex]&lt;[\/latex]<\/li>\n\t<li>[latex]&gt;[\/latex]<\/li>\n\t<li>[latex]&gt;[\/latex]<\/li>\n\t<li>[latex] 0.55, \\frac{9}{16}, \\frac{3}{5} [\/latex]<\/li>\n\t<li>[latex] \\frac{5}{8}, \\frac{13}{20}, 0.702 [\/latex]<\/li>\n\t<li>[latex] - \\frac{7}{20}, - \\frac{1}{3}, -0.3 [\/latex]<\/li>\n\t<li>[latex] - \\frac{7}{9}, - \\frac{3}{4}, -0.7 [\/latex]<\/li>\n\t<li>[latex]\u2212187[\/latex]<\/li>\n\t<li>[latex]295.12[\/latex]<\/li>\n\t<li>[latex]6.15[\/latex]<\/li>\n\t<li>[latex]20.2[\/latex]<\/li>\n\t<li>[latex]107.11[\/latex]<\/li>\n\t<li>[latex]449[\/latex]<\/li>\n\t<li>[latex]9.14[\/latex]<\/li>\n\t<li>[latex]\u22120.23[\/latex]<\/li>\n\t<li>[latex]\u22123.25[\/latex]<\/li>\n\t<li>[latex]16.29[\/latex]<\/li>\n\t<li>[latex]632.045[\/latex]<\/li>\n\t<li>[latex]\u22125.742[\/latex]<\/li>\n<\/ol>\n<h3>Find the Circumference and Area of Circles<\/h3>\n<ol start=\"128\">\n\t<li>[latex] 31.4[\/latex] in \u24d1 [latex]78.5[\/latex] sq. in<\/li>\n\t<li>[latex] 56.52[\/latex] ft \u24d1 [latex]254.34[\/latex] sq. ft<\/li>\n\t<li>[latex] 288.88[\/latex] cm \u24d1 [latex]6644.24[\/latex] sq. cm<\/li>\n\t<li>[latex] 116.808\/latex] m \u24d1 [latex]1086.3144\/latex] sq. ml<\/li>\n\t<li>\u24d0 [latex]\\frac{22}{5}[\/latex] mile \u24d1 [latex]frac{77}{50}[\/latex] sq. mile<\/li>\n\t<li>\u24d0 [latex]\\frac{33}{14}[\/latex] yard \u24d1[latex]\\frac{99}{224}[\/latex] sq. yard<\/li>\n\t<li>\u24d0 no \u24d1 no \u24d2 yes<\/li>\n\t<li>\u24d0 no \u24d1 yes \u24d2 no<\/li>\n\t<li>[latex] y = 2.8[\/latex]<\/li>\n\t<li>[latex] f = \u22120.85[\/latex]<\/li>\n\t<li>[latex] a = \u22127.9[\/latex]<\/li>\n\t<li>[latex] c = \u22124.65[\/latex]<\/li>\n\t<li>[latex] n = 4.4[\/latex]<\/li>\n\t<li>[latex] x = \u22123.5[\/latex]<\/li>\n\t<li>[latex] j = \u22124.68[\/latex]<\/li>\n\t<li>[latex] m = \u22121.42[\/latex]<\/li>\n\t<li>[latex] x = 7[\/latex]<\/li>\n\t<li>[latex] c = \u22125[\/latex]<\/li>\n\t<li>[latex] p = 3[\/latex]<\/li>\n\t<li>[latex] q = \u221280[\/latex]<\/li>\n\t<li>[latex] x = 20[\/latex]<\/li>\n\t<li>[latex] z = 2.7[\/latex]<\/li>\n\t<li>[latex] a = \u22128[\/latex]<\/li>\n\t<li>[latex] x = \u22120.28[\/latex]<\/li>\n\t<li>[latex] p = 8.25[\/latex]<\/li>\n\t<li>[latex] r = 7.2[\/latex]<\/li>\n<\/ol>\n<p><b>Mixed Practice<\/b><\/p>\n<ol start=\"154\">\n\t<li>[latex] x = \u22126[\/latex]<\/li>\n\t<li>[latex] p = \u221210[\/latex]<\/li>\n\t<li>[latex] m = 8[\/latex]<\/li>\n\t<li>[latex]q = - \\frac{3}{4}[\/latex]<\/li>\n\t<li>[latex]n-1.9 = 3.4; 5.3[\/latex]<\/li>\n\t<li>[latex]\u22126.2x = \u22124.96; 0.8 [\/latex]<\/li>\n\t<li>[latex] \\frac{y}{-1.7} = -5; 8.5 [\/latex]<\/li>\n\t<li>[latex]n + (\u22127.3) = 2.4; 9.7[\/latex]<\/li>\n<\/ol>\n<h4>Name Decimals<\/h4>\n<ol start=\"162\">\n\t<li>three hundred seventy-five thousandths<\/li>\n\t<li>five and twenty-four hundredths<\/li>\n\t<li>negative four and nine hundredths<\/li>\n\t<li>[latex]0.09[\/latex]<\/li>\n\t<li>[latex]10.035[\/latex]<\/li>\n\t<li>[latex]\u22120.05[\/latex]<\/li>\n\t<li>[latex]\\frac{33}{40} [\/latex]<\/li>\n\t<li>[latex]3 \\frac{16}{25} [\/latex]<\/li>\n\t<li>[latex]&lt;[\/latex]<\/li>\n\t<li>[latex]&lt;[\/latex]<\/li>\n\t<li>\u24d0 [latex]12.53[\/latex] \u24d1 [latex]12.5[\/latex] \u24d2 [latex]13[\/latex]<\/li>\n\t<li>\u24d0 [latex]5.90[\/latex] \u24d1 [latex]5.9[\/latex] \u24d2 [latex]6[\/latex]<\/li>\n\t<li>[latex]24.67[\/latex]<\/li>\n\t<li>[latex]24.831[\/latex]<\/li>\n\t<li>[latex]\u22122.37[\/latex]<\/li>\n<\/ol>\n<h3><strong>Multiply Decimals<\/strong><\/h3>\n<ol start=\"177\">\n\t<li>[latex]\u22121.6[\/latex]<\/li>\n\t<li>[latex]15,400[\/latex]<\/li>\n\t<li>[latex]0.18[\/latex]<\/li>\n\t<li>[latex]4[\/latex]<\/li>\n\t<li>[latex]200[\/latex]<\/li>\n\t<li>[latex]$28.22[\/latex]<\/li>\n\t<li>[latex]$1.79[\/latex]<\/li>\n\t<li>[latex]0.875[\/latex]<\/li>\n\t<li>[latex]\u22125.25[\/latex]<\/li>\n\t<li>[latex]\u22120.54[\/latex]<\/li>\n<\/ol>\n<h3><strong>Order Decimals and Fractions<\/strong><\/h3>\n<p>In the following exercises, order each pair of numbers, using&nbsp;[latex]&lt; or&nbsp;&gt;[\/latex]<\/p>\n<ol start=\"187\">\n\t<li>[latex]&gt;[\/latex]<\/li>\n\t<li>[latex]&gt;[\/latex]<\/li>\n\t<li>[latex]&gt;[\/latex]<\/li>\n\t<li>[latex] \\frac{11}{15}, 0.75, \\frac{7}{9} [\/latex]<\/li>\n\t<li>[latex]6.03[\/latex]<\/li>\n\t<li>[latex]1.975[\/latex]<\/li>\n\t<li>[latex]\u22120.22[\/latex]<\/li>\n\t<li>\u24d0 [latex]21.98[\/latex] ft. \u24d1 [latex]38.465[\/latex] sq. ft.<\/li>\n\t<li>\u24d0 [latex]34.54[\/latex] cm \u24d1 [latex]379.94[\/latex] sq. cm<\/li>\n<\/ol>\n<h3><strong>Use the Definition of Percents<\/strong><\/h3>\n<ol start=\"196\">\n\t<li>[latex] \\frac{6}{100} [\/latex]<\/li>\n\t<li>[latex] \\frac{32}{1000} [\/latex]<\/li>\n\t<li>\u24d0 [latex] \\frac{57}{100} [\/latex] \u24d1&nbsp;[latex] 57\\% [\/latex]<\/li>\n\t<li>\u24d0 [latex] \\frac{42}{100} [\/latex] \u24d1 [latex] 42\\% [\/latex]<\/li>\n\t<li>[latex] \\frac{1}{25} [\/latex]<\/li>\n\t<li>[latex] \\frac{17}{100} [\/latex]<\/li>\n\t<li>[latex] \\frac{13}{25} [\/latex]<\/li>\n\t<li>[latex] \\frac{5}{4} [\/latex]<\/li>\n\t<li>[latex] \\frac{3}{8} [\/latex]<\/li>\n\t<li>[latex] \\frac{23}{125} [\/latex]<\/li>\n\t<li>[latex]0.05[\/latex]<\/li>\n\t<li>[latex]0.01[\/latex]<\/li>\n\t<li>[latex]0.63[\/latex]<\/li>\n\t<li>[latex]0.4[\/latex]<\/li>\n\t<li>[latex]1.15[\/latex]<\/li>\n\t<li>[latex]1.5[\/latex]<\/li>\n\t<li>[latex]0.214[\/latex]<\/li>\n\t<li>[latex]0.078[\/latex]<\/li>\n\t<li>\u24d0 [latex] \\frac{3}{200} [\/latex] \u24d1 [latex]0.015[\/latex]<\/li>\n\t<li>\u24d0 [latex] \\frac{7023}{10000} [\/latex] \u24d1 [latex]0.7023[\/latex]<\/li>\n\t<li>\u24d0 [latex] \\frac{1}{4} [\/latex] \u24d1[latex]0.25[\/latex]<\/li>\n\t<li>\u24d0 [latex] \\frac{3}{5} [\/latex] \u24d1[latex]0.6[\/latex]<\/li>\n\t<li>[latex]1\\%[\/latex]<\/li>\n\t<li>[latex]18\\%[\/latex]<\/li>\n\t<li>[latex]135\\%[\/latex]<\/li>\n\t<li>[latex]300\\%[\/latex]<\/li>\n\t<li>[latex]0.9\\%[\/latex]<\/li>\n\t<li>[latex]8.75\\%[\/latex]<\/li>\n\t<li>[latex]150\\%[\/latex]<\/li>\n\t<li>[latex]225.4\\%[\/latex]<\/li>\n\t<li>[latex]25\\%[\/latex]<\/li>\n\t<li>[latex]37.5\\%[\/latex]<\/li>\n\t<li>[latex]175\\%[\/latex]<\/li>\n\t<li>[latex]680\\%[\/latex]<\/li>\n\t<li>[latex]41.7\\%[\/latex]<\/li>\n\t<li>[latex]266.6\\%[\/latex]<\/li>\n\t<li>[latex]42.9\\%[\/latex]<\/li>\n\t<li>[latex]55.6\\%[\/latex]<\/li>\n\t<li>[latex]25\\%[\/latex]<\/li>\n\t<li>[latex]35\\%[\/latex]<\/li>\n<\/ol>\n<h3><strong>Translate and Solve Basic Percent Equations<\/strong><\/h3>\n<ol start=\"236\">\n\t<li>[latex]54[\/latex]<\/li>\n\t<li>[latex]26.88[\/latex]<\/li>\n\t<li>[latex]162.5[\/latex]<\/li>\n\t<li>[latex]18,000[\/latex]<\/li>\n\t<li>[latex]112[\/latex]<\/li>\n\t<li>[latex]108[\/latex]<\/li>\n\t<li>[latex]$35[\/latex]<\/li>\n\t<li>[latex]$940[\/latex]<\/li>\n\t<li>[latex]30\\%[\/latex]<\/li>\n\t<li>[latex]36\\%[\/latex]<\/li>\n\t<li>[latex]150%[\/latex]<\/li>\n\t<li>[latex]175%[\/latex]<\/li>\n<\/ol>\n<h3><strong>Solve Applications of Percents<\/strong><\/h3>\n<ol start=\"248\">\n\t<li>[latex]$11.88[\/latex]<\/li>\n\t<li>[latex]$259.80[\/latex]<\/li>\n\t<li>[latex]24.2[\/latex] grams<\/li>\n\t<li>[latex]2,407[\/latex] grams<\/li>\n\t<li>[latex]45\\%[\/latex]<\/li>\n\t<li>[latex]25\\%[\/latex]<\/li>\n<\/ol>\n<h3>Find Percent Increase and Percent Decrease<\/h3>\n<ol start=\"254\">\n\t<li>[latex]13.2\\%[\/latex]<\/li>\n\t<li>[latex]125\\%[\/latex]<\/li>\n\t<li>[latex]72.7\\%[\/latex]<\/li>\n\t<li>[latex]2.5\\%[\/latex]<\/li>\n\t<li>[latex]11\\%[\/latex]<\/li>\n\t<li>[latex]5.5\\%[\/latex]<\/li>\n\t<li>\u24d0 [latex]$4.20[\/latex] \u24d1 [latex]$88.20[\/latex]<\/li>\n\t<li>\u24d0 [latex]$9.68[\/latex] \u24d1 [latex]$138.68[\/latex]<\/li>\n\t<li>\u24d0 [latex]$17.13[\/latex] \u24d1 [latex]$267.13[\/latex]<\/li>\n\t<li>\u24d0 [latex]$61.45[\/latex] \u24d1 [latex]$1,260.45[\/latex]<\/li>\n\t<li>[latex]6.5\\%[\/latex]<\/li>\n\t<li>[latex]6.85\\%[\/latex]<\/li>\n\t<li>[latex]$20.25[\/latex]<\/li>\n\t<li>[latex]$975[\/latex]<\/li>\n\t<li>[latex]$859.25[\/latex]<\/li>\n\t<li>[latex]3\\%[\/latex]<\/li>\n\t<li>[latex]16\\%[\/latex]<\/li>\n\t<li>[latex]15.5\\%[\/latex]<\/li>\n\t<li>[latex]$139[\/latex]<\/li>\n\t<li>[latex]$125[\/latex]<\/li>\n\t<li>\u24d0 [latex]$26.97[\/latex] \u24d1 [latex]$17.98[\/latex]<\/li>\n\t<li>\u24d0 [latex]$128.37[\/latex] \u24d1 [latex]$260.63[\/latex]<\/li>\n\t<li>\u24d0 [latex]$332.48[\/latex] \u24d1 [latex]$617.50[\/latex]<\/li>\n\t<li>\u24d0[latex] $576[\/latex] \u24d1 [latex]30\\%[\/latex]<\/li>\n\t<li>\u24d0 [latex]$53.25[\/latex] \u24d1 [latex]15\\%[\/latex]<\/li>\n\t<li>\u24d0 [latex]$370[\/latex] \u24d1 [latex]43.5\\%[\/latex]<\/li>\n<\/ol>\n<h3><strong>Solve Mark-up Applications<\/strong><\/h3>\n<ol start=\"280\">\n\t<li>\u24d0 [latex]$7.20[\/latex] \u24d1 [latex]$23.20[\/latex]<\/li>\n\t<li>\u24d0 $[latex]0.20[\/latex] \u24d1 [latex]$0.80[\/latex]<\/li>\n\t<li>\u24d0 [latex]$258.75[\/latex] \u24d1 [latex]$373.75[\/latex]<\/li>\n\t<li>[latex]$90[\/latex]<\/li>\n\t<li>[latex]$579.96[\/latex]<\/li>\n\t<li>[latex]$14,167[\/latex]<\/li>\n\t<li>[latex]$3,280[\/latex]<\/li>\n\t<li>[latex]$860[\/latex]<\/li>\n\t<li>[latex]$24,679.91[\/latex]<\/li>\n\t<li>[latex]4\\%[\/latex]<\/li>\n\t<li>[latex]5.5\\%[\/latex]<\/li>\n\t<li>[latex]$116[\/latex]<\/li>\n\t<li>[latex]$4,836[\/latex]<\/li>\n\t<li>[latex]3\\%[\/latex]<\/li>\n\t<li>[latex]3.75\\%[\/latex]<\/li>\n\t<li>[latex]$35,000[\/latex]<\/li>\n\t<li>[latex]$3,345[\/latex]<\/li>\n\t<li>[latex]$332.10[\/latex]<\/li>\n\t<li>[latex]$195.00[\/latex]<\/li>\n<\/ol>\n<h3>Solving Proportions and their Applications<\/h3>\n<ol start=\"299\">\n\t<li>[latex] \\frac{4}{15} = \\frac{36}{135} [\/latex]<\/li>\n\t<li>[latex] \\frac{12}{5} = \\frac{96}{40} [\/latex]<\/li>\n\t<li>[latex] \\frac{5}{7} = \\frac{115}{161} [\/latex]<\/li>\n\t<li>[latex] \\frac{8}{1} = \\frac{48}{6} [\/latex]<\/li>\n\t<li>[latex] \\frac{9.36}{18} = \\frac{2.6}{5} [\/latex]<\/li>\n\t<li>[latex] \\frac{18.04}{11} = \\frac{4.92}{3} [\/latex]<\/li>\n\t<li>yes<\/li>\n\t<li>no<\/li>\n\t<li>no<\/li>\n\t<li>yes<\/li>\n\t<li>[latex]x = 49[\/latex]<\/li>\n\t<li>[latex]z = 7[\/latex]<\/li>\n\t<li>[latex]a = 9[\/latex]<\/li>\n\t<li>[latex]p = -11[\/latex]<\/li>\n\t<li>[latex]a = 7[\/latex]<\/li>\n\t<li>[latex]c = 2[\/latex]<\/li>\n\t<li>[latex]j = 0.6[\/latex]<\/li>\n\t<li>[latex]m = 4[\/latex]<\/li>\n\t<li>[latex]9[\/latex] ml<\/li>\n\t<li>[latex]114[\/latex], no<\/li>\n\t<li>[latex]159[\/latex] cal<\/li>\n\t<li>[latex] \\frac{3}{4} [\/latex] cup<\/li>\n\t<li>[latex]$252.50[\/latex]<\/li>\n\t<li>[latex]1.25[\/latex]<\/li>\n\t<li>[latex]48[\/latex] quarters<\/li>\n\t<li>[latex]19, $58.71[\/latex]<\/li>\n\t<li>[latex]12.8[\/latex] hours<\/li>\n\t<li>[latex]4[\/latex] bags<\/li>\n\t<li>[latex] \\frac{n}{250} = \\frac{35}{100} [\/latex]<\/li>\n\t<li>[latex] \\frac{n}{47} = \\frac{110}{100} [\/latex]<\/li>\n\t<li>[latex] \\frac{45}{n} = \\frac{30}{100} [\/latex]<\/li>\n\t<li>[latex] \\frac{90}{n} = \\frac{150}{100} [\/latex]<\/li>\n\t<li>[latex] \\frac{17}{85} = \\frac{p}{100} [\/latex]<\/li>\n\t<li>[latex] \\frac{340}{260} = \\frac{p}{100} [\/latex]<\/li>\n\t<li>[latex]117[\/latex]<\/li>\n\t<li>[latex]16.56[\/latex]<\/li>\n\t<li>[latex]45.5[\/latex]<\/li>\n\t<li>[latex]1464[\/latex]<\/li>\n\t<li>[latex]$45[\/latex]<\/li>\n\t<li>[latex]$164[\/latex]<\/li>\n\t<li>[latex]25\\%[\/latex]<\/li>\n\t<li>[latex]12.5\\%[\/latex]<\/li>\n<\/ol>\n<h2>Using the Language of Algebra<\/h2>\n<h3>Use Variables and Algebraic Symbols<\/h3>\n<ol start=\"341\">\n\t<li>[latex]16[\/latex] minus [latex]9[\/latex], the difference of sixteen and nine<\/li>\n\t<li>[latex]5[\/latex] times [latex]6[\/latex], the product of five and six<\/li>\n\t<li>[latex]28[\/latex] divided by [latex]4[\/latex], the quotient of twenty-eight and four<\/li>\n\t<li>[latex]x[\/latex] plus [latex]8[\/latex], the sum of [latex]x[\/latex] and eight<\/li>\n\t<li>[latex]2[\/latex] times [latex]7[\/latex], the product of two and seven<\/li>\n\t<li>fourteen is less than twenty-one<\/li>\n\t<li>thirty-six is greater than or equal to nineteen<\/li>\n\t<li>[latex]3[\/latex] times [latex]n[\/latex] equals [latex]24[\/latex], the product of three and [latex]n[\/latex] equals twenty-four<\/li>\n\t<li>[latex]y[\/latex] minus [latex]1[\/latex] is greater than [latex]6[\/latex], the difference of [latex]y[\/latex] and one is greater than six<\/li>\n\t<li>[latex]2[\/latex] is less than or equal to [latex]18[\/latex] divided by [latex]6[\/latex]; [latex]2[\/latex] is less than or equal to the quotient of eighteen and six<\/li>\n\t<li>[latex]2[\/latex] is less than or equal to [latex]18[\/latex] divided by [latex]6[\/latex]; [latex]2[\/latex] is less than or equal to the quotient of eighteen and six<\/li>\n<\/ol>\n<h3><strong>Identify<\/strong>&nbsp;Expressions<strong>&nbsp;and Equations<\/strong><\/h3>\n<p>In the following exercises, determine if each is an expression or an equation.<\/p>\n<ol start=\"352\">\n\t<li>equation<\/li>\n\t<li>expression<\/li>\n\t<li>expression<\/li>\n\t<li>equation<\/li>\n<\/ol>\n<h3>Simplify Expressions with Exponents<\/h3>\n<p>In the following exercises, write in exponential form.<\/p>\n<ol start=\"356\">\n\t<li>[latex]3^{7}[\/latex]<\/li>\n\t<li>[latex]x^{5}[\/latex]<\/li>\n<\/ol>\n<h3>Simplify Expressions with Exponents<\/h3>\n<p>In the following exercises, write in expanded form.<\/p>\n<ol start=\"358\">\n\t<li>[latex]125[\/latex]<\/li>\n\t<li>[latex]256[\/latex]<\/li>\n<\/ol>\n<h3><strong>Simplify<\/strong>&nbsp;Expressions<strong>&nbsp;Using the Order of Operations<\/strong><\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol start=\"360\">\n\t<li>[latex]43[\/latex]<\/li>\n\t<li>[latex]55[\/latex]<\/li>\n\t<li>[latex]5[\/latex]<\/li>\n\t<li>[latex]34[\/latex]<\/li>\n\t<li>[latex]58[\/latex]<\/li>\n\t<li>[latex]6[\/latex]<\/li>\n\t<li>[latex]13[\/latex]<\/li>\n\t<li>[latex]4[\/latex]<\/li>\n\t<li>[latex]35[\/latex]<\/li>\n\t<li>[latex]10[\/latex]<\/li>\n\t<li>[latex]41[\/latex]<\/li>\n\t<li>[latex]81[\/latex]<\/li>\n\t<li>[latex]149[\/latex]<\/li>\n\t<li>[latex]50[\/latex]<\/li>\n<\/ol>\n<h2>Evaluating, Simplifying, and Translating Algebraic Expressions<\/h2>\n<h3>Evaluate Algebraic Expressions<\/h3>\n<p>In the following exercises, evaluate the expression for the given value.<\/p>\n<ol start=\"374\">\n\t<li>[latex]22[\/latex]<\/li>\n\t<li>[latex]26[\/latex]<\/li>\n\t<li>[latex]144[\/latex]<\/li>\n\t<li>[latex]32[\/latex]<\/li>\n\t<li>[latex]27[\/latex]<\/li>\n\t<li>[latex]21[\/latex]<\/li>\n\t<li>[latex]41[\/latex]<\/li>\n\t<li>[latex]9[\/latex]<\/li>\n\t<li>[latex]73[\/latex]<\/li>\n\t<li>[latex]73[\/latex]<\/li>\n\t<li>[latex]54[\/latex]<\/li>\n<\/ol>\n<h3>Identify Terms, Coefficients, and Like Terms<\/h3>\n<p>In the following exercises, list the terms in the given expression.<\/p>\n<ol start=\"385\">\n\t<li>[latex]15x^{2}, 6x, 2[\/latex]<\/li>\n\t<li>[latex]10y^{3}, y, 2[\/latex]<\/li>\n\t<li>[latex]8[\/latex]<\/li>\n\t<li>[latex]5[\/latex]<\/li>\n\t<li>[latex]x^{3}[\/latex], [latex]8x^{3}[\/latex] and [latex]14, 5[\/latex]<\/li>\n\t<li>[latex]16ab[\/latex] and [latex]4ab[\/latex]; [latex]16b^{2}[\/latex] and [latex]9b^{2}[\/latex]<\/li>\n<\/ol>\n<h3>Simplify Expressions by Combining Like Terms<\/h3>\n<p>In the following exercises, simplify the given expression by combining like terms.<\/p>\n<ol start=\"391\">\n\t<li>[latex]13x[\/latex]<\/li>\n\t<li>[latex]26a[\/latex]<\/li>\n\t<li>[latex]7c[\/latex]<\/li>\n\t<li>[latex]12x + 8[\/latex]<\/li>\n\t<li>[latex]10u + 3[\/latex]<\/li>\n\t<li>[latex]12p + 10[\/latex]<\/li>\n\t<li>[latex]22a + 1[\/latex]<\/li>\n\t<li>[latex]17x^{2} + 20x + 16[\/latex]<\/li>\n<\/ol>\n<h3>Translate English Phrases into Algebraic Expressions<\/h3>\n<p>In the following exercises, translate the given word phrase into an algebraic expression.<\/p>\n<ol start=\"399\">\n\t<li>[latex]8 + 12[\/latex]<\/li>\n\t<li>[latex]14 \u2212 9[\/latex]<\/li>\n\t<li>[latex]9 \u22c5 7[\/latex]<\/li>\n\t<li>[latex]36 \u00f7 9[\/latex]<\/li>\n\t<li>[latex]x \u2212 4[\/latex]<\/li>\n\t<li>[latex]6y[\/latex]<\/li>\n\t<li>[latex]8x + 3x[\/latex]<\/li>\n\t<li>[latex]\\frac{y}{3}[\/latex]<\/li>\n\t<li>[latex]8 (y \u2212 9)[\/latex]<\/li>\n\t<li>[latex]5 (x + y)[\/latex]<\/li>\n<\/ol>\n<h3>Translate English Phrases into Algebraic Expressions<\/h3>\n<p>In the following exercises, write an algebraic expression.<\/p>\n<ol start=\"409\">\n\t<li>[latex]b + 15[\/latex]<\/li>\n\t<li>[latex]b \u2212 4[\/latex]<\/li>\n\t<li>[latex]2n \u2212 7[\/latex]<\/li>\n<\/ol>\n","rendered":"<h3>Name Decimals<\/h3>\n<p>In the following exercises, name each decimal.<\/p>\n<ol start=\"1\">\n<li>five and five tenths<\/li>\n<li>five and one hundredth<\/li>\n<li>eight and seventy-one hundredths<\/li>\n<li>two thousandths<\/li>\n<li>three hundred eighty-one thousandths<\/li>\n<li>negative seventeen and nine tenths<\/li>\n<\/ol>\n<h3>Write Decimals<\/h3>\n<p>In the following exercises, translate the name into a decimal number.<\/p>\n<ol start=\"7\">\n<li>[latex]8.03[\/latex]<\/li>\n<li>[latex]29.81[\/latex]<\/li>\n<li>[latex]0.7[\/latex]<\/li>\n<li>[latex]0.001[\/latex]<\/li>\n<li>[latex]0.029[\/latex]<\/li>\n<li>[latex]\u221211.0009[\/latex]<\/li>\n<li>[latex]13.0395[\/latex]<\/li>\n<\/ol>\n<h3>Convert Decimals to Fractions or Mixed Numbers<\/h3>\n<p>In the following exercises, convert each decimal to a fraction or mixed number.<\/p>\n<ol start=\"14\">\n<li>[latex]1 \\frac{99}{100}[\/latex]<\/li>\n<li>[latex]15 \\frac{7}{10}[\/latex]<\/li>\n<li>[latex]\\frac{239}{1000}[\/latex]<\/li>\n<li>[latex]\\frac{13}{100}[\/latex]<\/li>\n<li>[latex]\\frac{11}{1000}[\/latex]<\/li>\n<li>[latex]- \\frac{7}{100000}[\/latex]<\/li>\n<li>[latex]6 \\frac{2}{5}[\/latex]<\/li>\n<li>[latex]7 \\frac{1}{20}[\/latex]<\/li>\n<li>[latex]4 \\frac{3}{500}[\/latex]<\/li>\n<li>[latex]10 \\frac{1}{4}[\/latex]<\/li>\n<li>[latex]1 \\frac{81}{250}[\/latex]<\/li>\n<li>[latex]14 \\frac{1}{8}[\/latex]<\/li>\n<\/ol>\n<h3>Locate Decimals on the Number Line<\/h3>\n<ol start=\"26\">\n<li><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221530\/CNX_BMath_Figure_05_01_201_img.png\" alt=\"There is a number line shown with integers from negative 4 to 4. There is a red dot between 0 and 1 labeled 0.8.\" \/><\/li>\n<li><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221532\/CNX_BMath_Figure_05_01_203_img.png\" alt=\"There is a number line shown with integers from negative 4 to 4. There is a red dot between negative 1 and 0 labeled negative 0.2.\" \/><\/li>\n<li><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221533\/CNX_BMath_Figure_05_01_209_img.png\" alt=\"This is an image of a number line. It spans from negative 5 on the left to 5 on the right. To the right of 0 are tick marks with the numbers 1, 2, 3, 4, 5 on the number line. To the left of the zero are tick marks with the numbers negative 1, negative 2, negative 3, negative 4, and negative 5. A point is plotted at 3.1.\" \/><\/li>\n<li><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221536\/CNX_BMath_Figure_05_01_206_img.png\" alt=\"There is a number line shown with integers from negative 4 to 4. There is a red dot between negative 3 and negative 2 labeled negative 2.5.\" \/><\/li>\n<\/ol>\n<h3>Order Decimals<\/h3>\n<p>In the following exercises, order each of the following pairs of numbers, using&nbsp;[latex]< or >[\/latex].<\/p>\n<ol start=\"30\">\n<li>[latex]>[\/latex]<\/li>\n<li>[latex]<[\/latex]<\/li>\n<li>[latex]>[\/latex]<\/li>\n<li>[latex]>[\/latex]<\/li>\n<li>[latex]<[\/latex]<\/li>\n<li>[latex]<[\/latex]<\/li>\n<\/ol>\n<h3>Round Decimals<\/h3>\n<p>In the following exercises, round each number to the nearest tenth.<\/p>\n<ol start=\"36\">\n<li>[latex]0.7[\/latex]<\/li>\n<li>[latex]2.8[\/latex]<\/li>\n<\/ol>\n<p>In the following exercises, round each number to the nearest hundredth.<\/p>\n<ol start=\"38\">\n<li>[latex]0.85[\/latex]<\/li>\n<li>[latex]5.79[\/latex]<\/li>\n<li>[latex]0.30[\/latex]<\/li>\n<li>[latex]4.10[\/latex]<\/li>\n<\/ol>\n<p>In the following exercises, round each number to the nearest \u24d0 hundredth \u24d1 tenth \u24d2 whole number.<\/p>\n<ol start=\"42\">\n<li>\u24d0 [latex]5.78[\/latex] \u24d1 [latex]5.8[\/latex] \u24d2 [latex]6[\/latex]<\/li>\n<li>\u24d0 [latex]63.48[\/latex] \u24d1 [latex]63.5[\/latex] \u24d2 [latex]63[\/latex]<\/li>\n<\/ol>\n<h2>Operations on Decimals<\/h2>\n<h3>Add and Subtract Decimals<\/h3>\n<p>In the following exercises, add or subtract.<\/p>\n<ol start=\"44\">\n<li>[latex]24.48[\/latex]<\/li>\n<li>[latex]170.88[\/latex]<\/li>\n<li>[latex]\u22129.23[\/latex]<\/li>\n<li>[latex]49.73[\/latex]<\/li>\n<li>[latex]\u221240.91[\/latex]<\/li>\n<li>[latex]\u22127.22[\/latex]<\/li>\n<li>[latex]\u221213.5[\/latex]<\/li>\n<li>[latex]35.8[\/latex]<\/li>\n<li>[latex]\u221227.5[\/latex]<\/li>\n<li>[latex]15.73[\/latex]<\/li>\n<li>[latex]42.51[\/latex]<\/li>\n<li>[latex]102.212[\/latex]<\/li>\n<li>[latex]51.31[\/latex]<\/li>\n<li>[latex]\u22124.89[\/latex]<\/li>\n<\/ol>\n<h3>Multiply Decimals<\/h3>\n<p>In the following exercises, multiply.<\/p>\n<ol start=\"58\">\n<li>[latex]0.12[\/latex]<\/li>\n<li>[latex]0.144[\/latex]<\/li>\n<li>[latex]42.008[\/latex]<\/li>\n<li>[latex]26.7528[\/latex]<\/li>\n<li>[latex]\u221211.653[\/latex]<\/li>\n<li>[latex]337.8914[\/latex]<\/li>\n<li>[latex]2.2302[\/latex]<\/li>\n<li>[latex]1.305[\/latex]<\/li>\n<li>[latex]92.4[\/latex]<\/li>\n<li>[latex]55,200[\/latex]<\/li>\n<\/ol>\n<h3>Divide Decimals<\/h3>\n<p>In the following exercises, divide.<\/p>\n<ol start=\"68\">\n<li>[latex]0.03[\/latex]<\/li>\n<li>[latex]0.19[\/latex]<\/li>\n<li>[latex]$0.71[\/latex]<\/li>\n<li>[latex]$2.44[\/latex]<\/li>\n<li>[latex]3[\/latex]<\/li>\n<li>[latex]\u22124.8[\/latex]<\/li>\n<li>[latex]35[\/latex]<\/li>\n<li>[latex]2.08[\/latex]<\/li>\n<li>[latex]150[\/latex]<\/li>\n<li>[latex]20[\/latex]<\/li>\n<\/ol>\n<h3>Mixed Practice<\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol start=\"78\">\n<li>[latex]19.2[\/latex]<\/li>\n<li>[latex]12.09[\/latex]<\/li>\n<li>[latex]32.706[\/latex]<\/li>\n<li>[latex]$48.60[\/latex]<\/li>\n<li>[latex]20[\/latex]<\/li>\n<li>[latex]2[\/latex]<\/li>\n<li>[latex]$17.80[\/latex]<\/li>\n<\/ol>\n<h3>Use Decimals in Money Applications<\/h3>\n<p>In the following exercises, use the strategy for applications to solve.<\/p>\n<ol start=\"85\">\n<li>[latex]$24.89[\/latex]<\/li>\n<li>[latex]$29.06[\/latex]<\/li>\n<li>[latex]$3.19[\/latex]<\/li>\n<li>[latex]181.7 pounds[\/latex]<\/li>\n<li>[latex]$15.00[\/latex]<\/li>\n<li>[latex]$296.00[\/latex]<\/li>\n<li>[latex]$12.75[\/latex]<\/li>\n<li>\n<ul>\n<li>[latex]$3[\/latex]<\/li>\n<li>[latex]$1.50[\/latex]<\/li>\n<li>[latex]$1[\/latex]<\/li>\n<\/ul>\n<\/li>\n<li>[latex]$18.64[\/latex]<\/li>\n<li>[latex]$259.45[\/latex]<\/li>\n<\/ol>\n<h2>Exploring The Relationship Between Decimals and Fractions<\/h2>\n<h3>Convert Fractions to Decimals<\/h3>\n<ol start=\"95\">\n<li>[latex]0.4[\/latex]<\/li>\n<li>[latex]\u22120.375[\/latex]<\/li>\n<li>[latex]0.85[\/latex]<\/li>\n<li>[latex]2.75[\/latex]<\/li>\n<li>[latex]\u221212.4[\/latex]<\/li>\n<li>[latex]-0.5[\/latex]<\/li>\n<li>[latex]-1.36[\/latex]<\/li>\n<li>[latex]-0.135[\/latex]<\/li>\n<\/ol>\n<h3>Convert Fractions to Decimals and Simplify<\/h3>\n<p>In the following exercises, simplify the expression.<\/p>\n<ol start=\"103\">\n<li>[latex]7[\/latex]<\/li>\n<li>[latex]3.025[\/latex]<\/li>\n<li>[latex]10.58[\/latex]<\/li>\n<\/ol>\n<h3>Order Decimals and Fractions<\/h3>\n<p>In the following exercises, order each pair of numbers, using&nbsp;[latex]< or >[\/latex].<\/p>\n<ol start=\"106\">\n<li>[latex]<[\/latex]<\/li>\n<li>[latex]>[\/latex]<\/li>\n<li>[latex]<[\/latex]<\/li>\n<li>[latex]<[\/latex]<\/li>\n<li>[latex]>[\/latex]<\/li>\n<li>[latex]>[\/latex]<\/li>\n<li>[latex]0.55, \\frac{9}{16}, \\frac{3}{5}[\/latex]<\/li>\n<li>[latex]\\frac{5}{8}, \\frac{13}{20}, 0.702[\/latex]<\/li>\n<li>[latex]- \\frac{7}{20}, - \\frac{1}{3}, -0.3[\/latex]<\/li>\n<li>[latex]- \\frac{7}{9}, - \\frac{3}{4}, -0.7[\/latex]<\/li>\n<li>[latex]\u2212187[\/latex]<\/li>\n<li>[latex]295.12[\/latex]<\/li>\n<li>[latex]6.15[\/latex]<\/li>\n<li>[latex]20.2[\/latex]<\/li>\n<li>[latex]107.11[\/latex]<\/li>\n<li>[latex]449[\/latex]<\/li>\n<li>[latex]9.14[\/latex]<\/li>\n<li>[latex]\u22120.23[\/latex]<\/li>\n<li>[latex]\u22123.25[\/latex]<\/li>\n<li>[latex]16.29[\/latex]<\/li>\n<li>[latex]632.045[\/latex]<\/li>\n<li>[latex]\u22125.742[\/latex]<\/li>\n<\/ol>\n<h3>Find the Circumference and Area of Circles<\/h3>\n<ol start=\"128\">\n<li>[latex]31.4[\/latex] in \u24d1 [latex]78.5[\/latex] sq. in<\/li>\n<li>[latex]56.52[\/latex] ft \u24d1 [latex]254.34[\/latex] sq. ft<\/li>\n<li>[latex]288.88[\/latex] cm \u24d1 [latex]6644.24[\/latex] sq. cm<\/li>\n<li>[latex]116.808\/latex] m \u24d1 [latex]1086.3144\/latex] sq. ml<\/li>\n<li>\u24d0 [latex]\\frac{22}{5}[\/latex] mile \u24d1 [latex]frac{77}{50}[\/latex] sq. mile<\/li>\n<li>\u24d0 [latex]\\frac{33}{14}[\/latex] yard \u24d1[latex]\\frac{99}{224}[\/latex] sq. yard<\/li>\n<li>\u24d0 no \u24d1 no \u24d2 yes<\/li>\n<li>\u24d0 no \u24d1 yes \u24d2 no<\/li>\n<li>[latex]y = 2.8[\/latex]<\/li>\n<li>[latex]f = \u22120.85[\/latex]<\/li>\n<li>[latex]a = \u22127.9[\/latex]<\/li>\n<li>[latex]c = \u22124.65[\/latex]<\/li>\n<li>[latex]n = 4.4[\/latex]<\/li>\n<li>[latex]x = \u22123.5[\/latex]<\/li>\n<li>[latex]j = \u22124.68[\/latex]<\/li>\n<li>[latex]m = \u22121.42[\/latex]<\/li>\n<li>[latex]x = 7[\/latex]<\/li>\n<li>[latex]c = \u22125[\/latex]<\/li>\n<li>[latex]p = 3[\/latex]<\/li>\n<li>[latex]q = \u221280[\/latex]<\/li>\n<li>[latex]x = 20[\/latex]<\/li>\n<li>[latex]z = 2.7[\/latex]<\/li>\n<li>[latex]a = \u22128[\/latex]<\/li>\n<li>[latex]x = \u22120.28[\/latex]<\/li>\n<li>[latex]p = 8.25[\/latex]<\/li>\n<li>[latex]r = 7.2[\/latex]<\/li>\n<\/ol>\n<p><b>Mixed Practice<\/b><\/p>\n<ol start=\"154\">\n<li>[latex]x = \u22126[\/latex]<\/li>\n<li>[latex]p = \u221210[\/latex]<\/li>\n<li>[latex]m = 8[\/latex]<\/li>\n<li>[latex]q = - \\frac{3}{4}[\/latex]<\/li>\n<li>[latex]n-1.9 = 3.4; 5.3[\/latex]<\/li>\n<li>[latex]\u22126.2x = \u22124.96; 0.8[\/latex]<\/li>\n<li>[latex]\\frac{y}{-1.7} = -5; 8.5[\/latex]<\/li>\n<li>[latex]n + (\u22127.3) = 2.4; 9.7[\/latex]<\/li>\n<\/ol>\n<h4>Name Decimals<\/h4>\n<ol start=\"162\">\n<li>three hundred seventy-five thousandths<\/li>\n<li>five and twenty-four hundredths<\/li>\n<li>negative four and nine hundredths<\/li>\n<li>[latex]0.09[\/latex]<\/li>\n<li>[latex]10.035[\/latex]<\/li>\n<li>[latex]\u22120.05[\/latex]<\/li>\n<li>[latex]\\frac{33}{40}[\/latex]<\/li>\n<li>[latex]3 \\frac{16}{25}[\/latex]<\/li>\n<li>[latex]<[\/latex]<\/li>\n<li>[latex]<[\/latex]<\/li>\n<li>\u24d0 [latex]12.53[\/latex] \u24d1 [latex]12.5[\/latex] \u24d2 [latex]13[\/latex]<\/li>\n<li>\u24d0 [latex]5.90[\/latex] \u24d1 [latex]5.9[\/latex] \u24d2 [latex]6[\/latex]<\/li>\n<li>[latex]24.67[\/latex]<\/li>\n<li>[latex]24.831[\/latex]<\/li>\n<li>[latex]\u22122.37[\/latex]<\/li>\n<\/ol>\n<h3><strong>Multiply Decimals<\/strong><\/h3>\n<ol start=\"177\">\n<li>[latex]\u22121.6[\/latex]<\/li>\n<li>[latex]15,400[\/latex]<\/li>\n<li>[latex]0.18[\/latex]<\/li>\n<li>[latex]4[\/latex]<\/li>\n<li>[latex]200[\/latex]<\/li>\n<li>[latex]$28.22[\/latex]<\/li>\n<li>[latex]$1.79[\/latex]<\/li>\n<li>[latex]0.875[\/latex]<\/li>\n<li>[latex]\u22125.25[\/latex]<\/li>\n<li>[latex]\u22120.54[\/latex]<\/li>\n<\/ol>\n<h3><strong>Order Decimals and Fractions<\/strong><\/h3>\n<p>In the following exercises, order each pair of numbers, using&nbsp;[latex]< or&nbsp;>[\/latex]<\/p>\n<ol start=\"187\">\n<li>[latex]>[\/latex]<\/li>\n<li>[latex]>[\/latex]<\/li>\n<li>[latex]>[\/latex]<\/li>\n<li>[latex]\\frac{11}{15}, 0.75, \\frac{7}{9}[\/latex]<\/li>\n<li>[latex]6.03[\/latex]<\/li>\n<li>[latex]1.975[\/latex]<\/li>\n<li>[latex]\u22120.22[\/latex]<\/li>\n<li>\u24d0 [latex]21.98[\/latex] ft. \u24d1 [latex]38.465[\/latex] sq. ft.<\/li>\n<li>\u24d0 [latex]34.54[\/latex] cm \u24d1 [latex]379.94[\/latex] sq. cm<\/li>\n<\/ol>\n<h3><strong>Use the Definition of Percents<\/strong><\/h3>\n<ol start=\"196\">\n<li>[latex]\\frac{6}{100}[\/latex]<\/li>\n<li>[latex]\\frac{32}{1000}[\/latex]<\/li>\n<li>\u24d0 [latex]\\frac{57}{100}[\/latex] \u24d1&nbsp;[latex]57\\%[\/latex]<\/li>\n<li>\u24d0 [latex]\\frac{42}{100}[\/latex] \u24d1 [latex]42\\%[\/latex]<\/li>\n<li>[latex]\\frac{1}{25}[\/latex]<\/li>\n<li>[latex]\\frac{17}{100}[\/latex]<\/li>\n<li>[latex]\\frac{13}{25}[\/latex]<\/li>\n<li>[latex]\\frac{5}{4}[\/latex]<\/li>\n<li>[latex]\\frac{3}{8}[\/latex]<\/li>\n<li>[latex]\\frac{23}{125}[\/latex]<\/li>\n<li>[latex]0.05[\/latex]<\/li>\n<li>[latex]0.01[\/latex]<\/li>\n<li>[latex]0.63[\/latex]<\/li>\n<li>[latex]0.4[\/latex]<\/li>\n<li>[latex]1.15[\/latex]<\/li>\n<li>[latex]1.5[\/latex]<\/li>\n<li>[latex]0.214[\/latex]<\/li>\n<li>[latex]0.078[\/latex]<\/li>\n<li>\u24d0 [latex]\\frac{3}{200}[\/latex] \u24d1 [latex]0.015[\/latex]<\/li>\n<li>\u24d0 [latex]\\frac{7023}{10000}[\/latex] \u24d1 [latex]0.7023[\/latex]<\/li>\n<li>\u24d0 [latex]\\frac{1}{4}[\/latex] \u24d1[latex]0.25[\/latex]<\/li>\n<li>\u24d0 [latex]\\frac{3}{5}[\/latex] \u24d1[latex]0.6[\/latex]<\/li>\n<li>[latex]1\\%[\/latex]<\/li>\n<li>[latex]18\\%[\/latex]<\/li>\n<li>[latex]135\\%[\/latex]<\/li>\n<li>[latex]300\\%[\/latex]<\/li>\n<li>[latex]0.9\\%[\/latex]<\/li>\n<li>[latex]8.75\\%[\/latex]<\/li>\n<li>[latex]150\\%[\/latex]<\/li>\n<li>[latex]225.4\\%[\/latex]<\/li>\n<li>[latex]25\\%[\/latex]<\/li>\n<li>[latex]37.5\\%[\/latex]<\/li>\n<li>[latex]175\\%[\/latex]<\/li>\n<li>[latex]680\\%[\/latex]<\/li>\n<li>[latex]41.7\\%[\/latex]<\/li>\n<li>[latex]266.6\\%[\/latex]<\/li>\n<li>[latex]42.9\\%[\/latex]<\/li>\n<li>[latex]55.6\\%[\/latex]<\/li>\n<li>[latex]25\\%[\/latex]<\/li>\n<li>[latex]35\\%[\/latex]<\/li>\n<\/ol>\n<h3><strong>Translate and Solve Basic Percent Equations<\/strong><\/h3>\n<ol start=\"236\">\n<li>[latex]54[\/latex]<\/li>\n<li>[latex]26.88[\/latex]<\/li>\n<li>[latex]162.5[\/latex]<\/li>\n<li>[latex]18,000[\/latex]<\/li>\n<li>[latex]112[\/latex]<\/li>\n<li>[latex]108[\/latex]<\/li>\n<li>[latex]$35[\/latex]<\/li>\n<li>[latex]$940[\/latex]<\/li>\n<li>[latex]30\\%[\/latex]<\/li>\n<li>[latex]36\\%[\/latex]<\/li>\n<li>[latex]150%[\/latex]<\/li>\n<li>[latex]175%[\/latex]<\/li>\n<\/ol>\n<h3><strong>Solve Applications of Percents<\/strong><\/h3>\n<ol start=\"248\">\n<li>[latex]$11.88[\/latex]<\/li>\n<li>[latex]$259.80[\/latex]<\/li>\n<li>[latex]24.2[\/latex] grams<\/li>\n<li>[latex]2,407[\/latex] grams<\/li>\n<li>[latex]45\\%[\/latex]<\/li>\n<li>[latex]25\\%[\/latex]<\/li>\n<\/ol>\n<h3>Find Percent Increase and Percent Decrease<\/h3>\n<ol start=\"254\">\n<li>[latex]13.2\\%[\/latex]<\/li>\n<li>[latex]125\\%[\/latex]<\/li>\n<li>[latex]72.7\\%[\/latex]<\/li>\n<li>[latex]2.5\\%[\/latex]<\/li>\n<li>[latex]11\\%[\/latex]<\/li>\n<li>[latex]5.5\\%[\/latex]<\/li>\n<li>\u24d0 [latex]$4.20[\/latex] \u24d1 [latex]$88.20[\/latex]<\/li>\n<li>\u24d0 [latex]$9.68[\/latex] \u24d1 [latex]$138.68[\/latex]<\/li>\n<li>\u24d0 [latex]$17.13[\/latex] \u24d1 [latex]$267.13[\/latex]<\/li>\n<li>\u24d0 [latex]$61.45[\/latex] \u24d1 [latex]$1,260.45[\/latex]<\/li>\n<li>[latex]6.5\\%[\/latex]<\/li>\n<li>[latex]6.85\\%[\/latex]<\/li>\n<li>[latex]$20.25[\/latex]<\/li>\n<li>[latex]$975[\/latex]<\/li>\n<li>[latex]$859.25[\/latex]<\/li>\n<li>[latex]3\\%[\/latex]<\/li>\n<li>[latex]16\\%[\/latex]<\/li>\n<li>[latex]15.5\\%[\/latex]<\/li>\n<li>[latex]$139[\/latex]<\/li>\n<li>[latex]$125[\/latex]<\/li>\n<li>\u24d0 [latex]$26.97[\/latex] \u24d1 [latex]$17.98[\/latex]<\/li>\n<li>\u24d0 [latex]$128.37[\/latex] \u24d1 [latex]$260.63[\/latex]<\/li>\n<li>\u24d0 [latex]$332.48[\/latex] \u24d1 [latex]$617.50[\/latex]<\/li>\n<li>\u24d0[latex]$576[\/latex] \u24d1 [latex]30\\%[\/latex]<\/li>\n<li>\u24d0 [latex]$53.25[\/latex] \u24d1 [latex]15\\%[\/latex]<\/li>\n<li>\u24d0 [latex]$370[\/latex] \u24d1 [latex]43.5\\%[\/latex]<\/li>\n<\/ol>\n<h3><strong>Solve Mark-up Applications<\/strong><\/h3>\n<ol start=\"280\">\n<li>\u24d0 [latex]$7.20[\/latex] \u24d1 [latex]$23.20[\/latex]<\/li>\n<li>\u24d0 $[latex]0.20[\/latex] \u24d1 [latex]$0.80[\/latex]<\/li>\n<li>\u24d0 [latex]$258.75[\/latex] \u24d1 [latex]$373.75[\/latex]<\/li>\n<li>[latex]$90[\/latex]<\/li>\n<li>[latex]$579.96[\/latex]<\/li>\n<li>[latex]$14,167[\/latex]<\/li>\n<li>[latex]$3,280[\/latex]<\/li>\n<li>[latex]$860[\/latex]<\/li>\n<li>[latex]$24,679.91[\/latex]<\/li>\n<li>[latex]4\\%[\/latex]<\/li>\n<li>[latex]5.5\\%[\/latex]<\/li>\n<li>[latex]$116[\/latex]<\/li>\n<li>[latex]$4,836[\/latex]<\/li>\n<li>[latex]3\\%[\/latex]<\/li>\n<li>[latex]3.75\\%[\/latex]<\/li>\n<li>[latex]$35,000[\/latex]<\/li>\n<li>[latex]$3,345[\/latex]<\/li>\n<li>[latex]$332.10[\/latex]<\/li>\n<li>[latex]$195.00[\/latex]<\/li>\n<\/ol>\n<h3>Solving Proportions and their Applications<\/h3>\n<ol start=\"299\">\n<li>[latex]\\frac{4}{15} = \\frac{36}{135}[\/latex]<\/li>\n<li>[latex]\\frac{12}{5} = \\frac{96}{40}[\/latex]<\/li>\n<li>[latex]\\frac{5}{7} = \\frac{115}{161}[\/latex]<\/li>\n<li>[latex]\\frac{8}{1} = \\frac{48}{6}[\/latex]<\/li>\n<li>[latex]\\frac{9.36}{18} = \\frac{2.6}{5}[\/latex]<\/li>\n<li>[latex]\\frac{18.04}{11} = \\frac{4.92}{3}[\/latex]<\/li>\n<li>yes<\/li>\n<li>no<\/li>\n<li>no<\/li>\n<li>yes<\/li>\n<li>[latex]x = 49[\/latex]<\/li>\n<li>[latex]z = 7[\/latex]<\/li>\n<li>[latex]a = 9[\/latex]<\/li>\n<li>[latex]p = -11[\/latex]<\/li>\n<li>[latex]a = 7[\/latex]<\/li>\n<li>[latex]c = 2[\/latex]<\/li>\n<li>[latex]j = 0.6[\/latex]<\/li>\n<li>[latex]m = 4[\/latex]<\/li>\n<li>[latex]9[\/latex] ml<\/li>\n<li>[latex]114[\/latex], no<\/li>\n<li>[latex]159[\/latex] cal<\/li>\n<li>[latex]\\frac{3}{4}[\/latex] cup<\/li>\n<li>[latex]$252.50[\/latex]<\/li>\n<li>[latex]1.25[\/latex]<\/li>\n<li>[latex]48[\/latex] quarters<\/li>\n<li>[latex]19, $58.71[\/latex]<\/li>\n<li>[latex]12.8[\/latex] hours<\/li>\n<li>[latex]4[\/latex] bags<\/li>\n<li>[latex]\\frac{n}{250} = \\frac{35}{100}[\/latex]<\/li>\n<li>[latex]\\frac{n}{47} = \\frac{110}{100}[\/latex]<\/li>\n<li>[latex]\\frac{45}{n} = \\frac{30}{100}[\/latex]<\/li>\n<li>[latex]\\frac{90}{n} = \\frac{150}{100}[\/latex]<\/li>\n<li>[latex]\\frac{17}{85} = \\frac{p}{100}[\/latex]<\/li>\n<li>[latex]\\frac{340}{260} = \\frac{p}{100}[\/latex]<\/li>\n<li>[latex]117[\/latex]<\/li>\n<li>[latex]16.56[\/latex]<\/li>\n<li>[latex]45.5[\/latex]<\/li>\n<li>[latex]1464[\/latex]<\/li>\n<li>[latex]$45[\/latex]<\/li>\n<li>[latex]$164[\/latex]<\/li>\n<li>[latex]25\\%[\/latex]<\/li>\n<li>[latex]12.5\\%[\/latex]<\/li>\n<\/ol>\n<h2>Using the Language of Algebra<\/h2>\n<h3>Use Variables and Algebraic Symbols<\/h3>\n<ol start=\"341\">\n<li>[latex]16[\/latex] minus [latex]9[\/latex], the difference of sixteen and nine<\/li>\n<li>[latex]5[\/latex] times [latex]6[\/latex], the product of five and six<\/li>\n<li>[latex]28[\/latex] divided by [latex]4[\/latex], the quotient of twenty-eight and four<\/li>\n<li>[latex]x[\/latex] plus [latex]8[\/latex], the sum of [latex]x[\/latex] and eight<\/li>\n<li>[latex]2[\/latex] times [latex]7[\/latex], the product of two and seven<\/li>\n<li>fourteen is less than twenty-one<\/li>\n<li>thirty-six is greater than or equal to nineteen<\/li>\n<li>[latex]3[\/latex] times [latex]n[\/latex] equals [latex]24[\/latex], the product of three and [latex]n[\/latex] equals twenty-four<\/li>\n<li>[latex]y[\/latex] minus [latex]1[\/latex] is greater than [latex]6[\/latex], the difference of [latex]y[\/latex] and one is greater than six<\/li>\n<li>[latex]2[\/latex] is less than or equal to [latex]18[\/latex] divided by [latex]6[\/latex]; [latex]2[\/latex] is less than or equal to the quotient of eighteen and six<\/li>\n<li>[latex]2[\/latex] is less than or equal to [latex]18[\/latex] divided by [latex]6[\/latex]; [latex]2[\/latex] is less than or equal to the quotient of eighteen and six<\/li>\n<\/ol>\n<h3><strong>Identify<\/strong>&nbsp;Expressions<strong>&nbsp;and Equations<\/strong><\/h3>\n<p>In the following exercises, determine if each is an expression or an equation.<\/p>\n<ol start=\"352\">\n<li>equation<\/li>\n<li>expression<\/li>\n<li>expression<\/li>\n<li>equation<\/li>\n<\/ol>\n<h3>Simplify Expressions with Exponents<\/h3>\n<p>In the following exercises, write in exponential form.<\/p>\n<ol start=\"356\">\n<li>[latex]3^{7}[\/latex]<\/li>\n<li>[latex]x^{5}[\/latex]<\/li>\n<\/ol>\n<h3>Simplify Expressions with Exponents<\/h3>\n<p>In the following exercises, write in expanded form.<\/p>\n<ol start=\"358\">\n<li>[latex]125[\/latex]<\/li>\n<li>[latex]256[\/latex]<\/li>\n<\/ol>\n<h3><strong>Simplify<\/strong>&nbsp;Expressions<strong>&nbsp;Using the Order of Operations<\/strong><\/h3>\n<p>In the following exercises, simplify.<\/p>\n<ol start=\"360\">\n<li>[latex]43[\/latex]<\/li>\n<li>[latex]55[\/latex]<\/li>\n<li>[latex]5[\/latex]<\/li>\n<li>[latex]34[\/latex]<\/li>\n<li>[latex]58[\/latex]<\/li>\n<li>[latex]6[\/latex]<\/li>\n<li>[latex]13[\/latex]<\/li>\n<li>[latex]4[\/latex]<\/li>\n<li>[latex]35[\/latex]<\/li>\n<li>[latex]10[\/latex]<\/li>\n<li>[latex]41[\/latex]<\/li>\n<li>[latex]81[\/latex]<\/li>\n<li>[latex]149[\/latex]<\/li>\n<li>[latex]50[\/latex]<\/li>\n<\/ol>\n<h2>Evaluating, Simplifying, and Translating Algebraic Expressions<\/h2>\n<h3>Evaluate Algebraic Expressions<\/h3>\n<p>In the following exercises, evaluate the expression for the given value.<\/p>\n<ol start=\"374\">\n<li>[latex]22[\/latex]<\/li>\n<li>[latex]26[\/latex]<\/li>\n<li>[latex]144[\/latex]<\/li>\n<li>[latex]32[\/latex]<\/li>\n<li>[latex]27[\/latex]<\/li>\n<li>[latex]21[\/latex]<\/li>\n<li>[latex]41[\/latex]<\/li>\n<li>[latex]9[\/latex]<\/li>\n<li>[latex]73[\/latex]<\/li>\n<li>[latex]73[\/latex]<\/li>\n<li>[latex]54[\/latex]<\/li>\n<\/ol>\n<h3>Identify Terms, Coefficients, and Like Terms<\/h3>\n<p>In the following exercises, list the terms in the given expression.<\/p>\n<ol start=\"385\">\n<li>[latex]15x^{2}, 6x, 2[\/latex]<\/li>\n<li>[latex]10y^{3}, y, 2[\/latex]<\/li>\n<li>[latex]8[\/latex]<\/li>\n<li>[latex]5[\/latex]<\/li>\n<li>[latex]x^{3}[\/latex], [latex]8x^{3}[\/latex] and [latex]14, 5[\/latex]<\/li>\n<li>[latex]16ab[\/latex] and [latex]4ab[\/latex]; [latex]16b^{2}[\/latex] and [latex]9b^{2}[\/latex]<\/li>\n<\/ol>\n<h3>Simplify Expressions by Combining Like Terms<\/h3>\n<p>In the following exercises, simplify the given expression by combining like terms.<\/p>\n<ol start=\"391\">\n<li>[latex]13x[\/latex]<\/li>\n<li>[latex]26a[\/latex]<\/li>\n<li>[latex]7c[\/latex]<\/li>\n<li>[latex]12x + 8[\/latex]<\/li>\n<li>[latex]10u + 3[\/latex]<\/li>\n<li>[latex]12p + 10[\/latex]<\/li>\n<li>[latex]22a + 1[\/latex]<\/li>\n<li>[latex]17x^{2} + 20x + 16[\/latex]<\/li>\n<\/ol>\n<h3>Translate English Phrases into Algebraic Expressions<\/h3>\n<p>In the following exercises, translate the given word phrase into an algebraic expression.<\/p>\n<ol start=\"399\">\n<li>[latex]8 + 12[\/latex]<\/li>\n<li>[latex]14 \u2212 9[\/latex]<\/li>\n<li>[latex]9 \u22c5 7[\/latex]<\/li>\n<li>[latex]36 \u00f7 9[\/latex]<\/li>\n<li>[latex]x \u2212 4[\/latex]<\/li>\n<li>[latex]6y[\/latex]<\/li>\n<li>[latex]8x + 3x[\/latex]<\/li>\n<li>[latex]\\frac{y}{3}[\/latex]<\/li>\n<li>[latex]8 (y \u2212 9)[\/latex]<\/li>\n<li>[latex]5 (x + y)[\/latex]<\/li>\n<\/ol>\n<h3>Translate English Phrases into Algebraic Expressions<\/h3>\n<p>In the following exercises, write an algebraic expression.<\/p>\n<ol start=\"409\">\n<li>[latex]b + 15[\/latex]<\/li>\n<li>[latex]b \u2212 4[\/latex]<\/li>\n<li>[latex]2n \u2212 7[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":6,"menu_order":5,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":3,"module-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\/31"}],"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\/6"}],"version-history":[{"count":0,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/31\/revisions"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/31\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/media?parent=31"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapter-type?post=31"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/contributor?post=31"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/license?post=31"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}