{"id":27,"date":"2021-07-29T16:11:00","date_gmt":"2021-07-29T20:11:00","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/alfm6\/?post_type=chapter&#038;p=27"},"modified":"2021-09-24T13:54:53","modified_gmt":"2021-09-24T17:54:53","slug":"review-ratio-rate-proportion","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/alfm6\/chapter\/review-ratio-rate-proportion\/","title":{"raw":"Unit 1 Review: Ratio, Rate, &amp; Proportion","rendered":"Unit 1 Review: Ratio, Rate, &amp; Proportion"},"content":{"raw":"<h1>Questions<\/h1>\r\n<ol type=\"1\">\r\n \t<li>Write the ratios asked for in the questions. Reduce when needed.\r\n<ol type=\"a\">\r\n \t<li>It snowed for two days and was sunny for five days last week. Write a ratio to compare snowy days to sunny days.<\/li>\r\n \t<li>The class spends 6 hours a week on math and 8 hours on English. Write the ratio of hours spent on math to English.<\/li>\r\n \t<li>One kilogram of pork will make enough sausages for 7 people. Write a ratio to express the amount of pork for sausages to the number of people.<\/li>\r\n \t<li>A jam recipe calls for 8 cups of blue berries to 3 cups of sugar. Write a ratio to express the amount of berries to sugar.<\/li>\r\n<\/ol>\r\n&nbsp;<\/li>\r\n \t<li>Write the ratios in lowest terms.\r\n<ol type=\"a\">\r\n \t<li>[latex]14:21[\/latex]<\/li>\r\n \t<li>[latex]8:24[\/latex]<\/li>\r\n \t<li>[latex]15:150[\/latex]<\/li>\r\n \t<li>[latex]9:54[\/latex]<\/li>\r\n<\/ol>\r\n&nbsp;<\/li>\r\n \t<li>Write the following ratios as rates.\r\n<ol type=\"a\">\r\n \t<li>16 cups of water to 4 cups of sugar<\/li>\r\n \t<li>150 kilometres to 1.25 hours<\/li>\r\n \t<li>465,000 people to 3,000 square kilometres<\/li>\r\n \t<li>$3.99 to 10 pounds of apples<\/li>\r\n<\/ol>\r\n&nbsp;<\/li>\r\n \t<li>Use cross multiplication to solve the proportions.\r\n<ol type=\"a\">\r\n \t<li>[latex]\\dfrac{5}{8}=\\dfrac{\\textit{P}}{24}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{\\textit{S}}{100}=\\dfrac{8}{25}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{4}{\\textit{N}}=\\dfrac{8}{40}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{4}{14}=\\dfrac{\\textit{F}}{68}[\/latex]<\/li>\r\n<\/ol>\r\n&nbsp;<\/li>\r\n \t<li>Use cross multiplication to solve the proportions.\r\n<ol type=\"a\">\r\n \t<li>[latex]\\dfrac{2\\frac{1}{4}}{5}=\\dfrac{\\textit{A}}{30}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{11}{8}=\\dfrac{4\\frac{1}{8}}{\\textit{P}}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{3\\frac{3}{4}}{5}=\\dfrac{8}{\\textit{X}}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{2\\frac{2}{3}}{3}=\\dfrac{\\textit{A}}{16}[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<div class=\"textbox shaded\">\r\n<h1>Answers to Unit 1 Review<\/h1>\r\n<ol type=\"1\">\r\n \t<li>\r\n<ol type=\"a\">\r\n \t<li>[latex]2:5[\/latex]<\/li>\r\n \t<li>[latex]6:8[\/latex]<\/li>\r\n \t<li>[latex]1\\text{ kg}:7\\text{ people}[\/latex]<\/li>\r\n \t<li>[latex]8\\text{ cups berries}:3\\text{ cups sugar}[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>\r\n<ol type=\"a\">\r\n \t<li>[latex]2:3[\/latex]<\/li>\r\n \t<li>[latex]1:3[\/latex]<\/li>\r\n \t<li>[latex]1:10[\/latex]<\/li>\r\n \t<li>[latex]1:6[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>\r\n<ol type=\"a\">\r\n \t<li>4 cups water per cup of sugar<\/li>\r\n \t<li>120 km\/hour<\/li>\r\n \t<li>155 people per km<sup>2<\/sup><\/li>\r\n \t<li>$0.40 per pound of apples<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>\r\n<ol type=\"a\">\r\n \t<li>[latex]15[\/latex]<\/li>\r\n \t<li>[latex]32[\/latex]<\/li>\r\n \t<li>[latex]20[\/latex]<\/li>\r\n \t<li>[latex]19.43[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>\r\n<ol type=\"a\">\r\n \t<li>[latex]13\\frac{1}{2}[\/latex]<\/li>\r\n \t<li>[latex]3[\/latex]<\/li>\r\n \t<li>[latex]10\\frac{2}{3}[\/latex]<\/li>\r\n \t<li>[latex]14\\frac{2}{9}[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox\">\r\n<h2>TEST TIME!<\/h2>\r\nAsk your instructor for the Practice Test for this unit.\r\n\r\nOnce you\u2019ve done the Practice Test, you need to do the Unit 1 test.\r\n\r\nAgain, ask your instructor for this.\r\n\r\n<strong>Good luck!<\/strong>\r\n\r\n<\/div>","rendered":"<h1>Questions<\/h1>\n<ol type=\"1\">\n<li>Write the ratios asked for in the questions. Reduce when needed.\n<ol type=\"a\">\n<li>It snowed for two days and was sunny for five days last week. Write a ratio to compare snowy days to sunny days.<\/li>\n<li>The class spends 6 hours a week on math and 8 hours on English. Write the ratio of hours spent on math to English.<\/li>\n<li>One kilogram of pork will make enough sausages for 7 people. Write a ratio to express the amount of pork for sausages to the number of people.<\/li>\n<li>A jam recipe calls for 8 cups of blue berries to 3 cups of sugar. Write a ratio to express the amount of berries to sugar.<\/li>\n<\/ol>\n<p>&nbsp;<\/li>\n<li>Write the ratios in lowest terms.\n<ol type=\"a\">\n<li>[latex]14:21[\/latex]<\/li>\n<li>[latex]8:24[\/latex]<\/li>\n<li>[latex]15:150[\/latex]<\/li>\n<li>[latex]9:54[\/latex]<\/li>\n<\/ol>\n<p>&nbsp;<\/li>\n<li>Write the following ratios as rates.\n<ol type=\"a\">\n<li>16 cups of water to 4 cups of sugar<\/li>\n<li>150 kilometres to 1.25 hours<\/li>\n<li>465,000 people to 3,000 square kilometres<\/li>\n<li>$3.99 to 10 pounds of apples<\/li>\n<\/ol>\n<p>&nbsp;<\/li>\n<li>Use cross multiplication to solve the proportions.\n<ol type=\"a\">\n<li>[latex]\\dfrac{5}{8}=\\dfrac{\\textit{P}}{24}[\/latex]<\/li>\n<li>[latex]\\dfrac{\\textit{S}}{100}=\\dfrac{8}{25}[\/latex]<\/li>\n<li>[latex]\\dfrac{4}{\\textit{N}}=\\dfrac{8}{40}[\/latex]<\/li>\n<li>[latex]\\dfrac{4}{14}=\\dfrac{\\textit{F}}{68}[\/latex]<\/li>\n<\/ol>\n<p>&nbsp;<\/li>\n<li>Use cross multiplication to solve the proportions.\n<ol type=\"a\">\n<li>[latex]\\dfrac{2\\frac{1}{4}}{5}=\\dfrac{\\textit{A}}{30}[\/latex]<\/li>\n<li>[latex]\\dfrac{11}{8}=\\dfrac{4\\frac{1}{8}}{\\textit{P}}[\/latex]<\/li>\n<li>[latex]\\dfrac{3\\frac{3}{4}}{5}=\\dfrac{8}{\\textit{X}}[\/latex]<\/li>\n<li>[latex]\\dfrac{2\\frac{2}{3}}{3}=\\dfrac{\\textit{A}}{16}[\/latex]<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<div class=\"textbox shaded\">\n<h1>Answers to Unit 1 Review<\/h1>\n<ol type=\"1\">\n<li>\n<ol type=\"a\">\n<li>[latex]2:5[\/latex]<\/li>\n<li>[latex]6:8[\/latex]<\/li>\n<li>[latex]1\\text{ kg}:7\\text{ people}[\/latex]<\/li>\n<li>[latex]8\\text{ cups berries}:3\\text{ cups sugar}[\/latex]<\/li>\n<\/ol>\n<\/li>\n<li>\n<ol type=\"a\">\n<li>[latex]2:3[\/latex]<\/li>\n<li>[latex]1:3[\/latex]<\/li>\n<li>[latex]1:10[\/latex]<\/li>\n<li>[latex]1:6[\/latex]<\/li>\n<\/ol>\n<\/li>\n<li>\n<ol type=\"a\">\n<li>4 cups water per cup of sugar<\/li>\n<li>120 km\/hour<\/li>\n<li>155 people per km<sup>2<\/sup><\/li>\n<li>$0.40 per pound of apples<\/li>\n<\/ol>\n<\/li>\n<li>\n<ol type=\"a\">\n<li>[latex]15[\/latex]<\/li>\n<li>[latex]32[\/latex]<\/li>\n<li>[latex]20[\/latex]<\/li>\n<li>[latex]19.43[\/latex]<\/li>\n<\/ol>\n<\/li>\n<li>\n<ol type=\"a\">\n<li>[latex]13\\frac{1}{2}[\/latex]<\/li>\n<li>[latex]3[\/latex]<\/li>\n<li>[latex]10\\frac{2}{3}[\/latex]<\/li>\n<li>[latex]14\\frac{2}{9}[\/latex]<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox\">\n<h2>TEST TIME!<\/h2>\n<p>Ask your instructor for the Practice Test for this unit.<\/p>\n<p>Once you\u2019ve done the Practice Test, you need to do the Unit 1 test.<\/p>\n<p>Again, ask your instructor for this.<\/p>\n<p><strong>Good luck!<\/strong><\/p>\n<\/div>\n","protected":false},"author":103,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-27","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/pressbooks\/v2\/chapters\/27","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/wp\/v2\/users\/103"}],"version-history":[{"count":13,"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/pressbooks\/v2\/chapters\/27\/revisions"}],"predecessor-version":[{"id":1214,"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/pressbooks\/v2\/chapters\/27\/revisions\/1214"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/pressbooks\/v2\/chapters\/27\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/wp\/v2\/media?parent=27"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/pressbooks\/v2\/chapter-type?post=27"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/wp\/v2\/contributor?post=27"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/alfm6\/wp-json\/wp\/v2\/license?post=27"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}