{"id":31,"date":"2020-02-07T11:13:12","date_gmt":"2020-02-07T16:13:12","guid":{"rendered":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/chapter\/1-6-practice-question-answers\/"},"modified":"2024-01-01T23:07:12","modified_gmt":"2024-01-02T04:07:12","slug":"1-6-practice-question-answers","status":"publish","type":"chapter","link":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/chapter\/1-6-practice-question-answers\/","title":{"raw":"1.6. Practice question answers","rendered":"1.6. Practice question answers"},"content":{"raw":"
\r\n\r\n[Latexpage]\r\n

Chapter 1 practice question answers<\/h1>\r\n<\/div>\r\n
\r\n

1.1 Introduction<\/strong><\/p>\r\n\r\n<\/header>\r\n

\r\n\r\n1.<\/strong> a.<\/strong> 5x<\/em>3<\/sup>\u00a0 \u00a0,\u00a0 \u00a08x<\/em>2<\/sup>\u00a0 \u00a0,\u00a0 \u00a02x<\/em>\r\n\r\n\u00a0 \u00a0 b.<\/strong> \u2013$\\frac{2}{3}$y<\/em>4<\/sup>\u00a0 \u00a0,\u00a0\u00a0 9a<\/em>2<\/sup>\u00a0 \u00a0,\u00a0 \u00a0a<\/em>\u00a0 \u00a0, \u00a0 -<\/em>1\r\n\r\n2.<\/strong> a.<\/strong> -x<\/em> + 19y <\/em>\r\n\r\n\u00a0 \u00a0 b.<\/strong> 6a<\/em>2<\/sup> \u2013 31b<\/em>\r\n\r\n\u00a0 \u00a0 c.<\/strong>\u00a09<\/span>m<\/em>2<\/sup> + 64<\/span>n<\/em>\r\n\r\n3.<\/strong> a.<\/strong> 10a<\/em>2<\/sup> + 13\r\n\r\n\u00a0 \u00a0 b.<\/strong> -19x<\/em> + 39y<\/em>\r\n\r\n\u00a0 \u00a0 c.<\/strong> 17ab<\/em> \u2013 28xy<\/em>\r\n\r\n\u00a0 \u00a0 d.<\/strong>\u00a040y<\/em>2<\/sup> \u2013<\/em> 11y<\/em> \u2013<\/em> 63\r\n\r\n\u00a0 \u00a0 e.<\/strong>\u00a021r<\/em>2<\/sup> + 28rt<\/em>2<\/sup> \u2013<\/em> 6rt \u2013<\/em>8t<\/em>3<\/sup>\r\n\r\n\u00a0 \u00a0 f.<\/strong>\u00a0x<\/em>2<\/sup> \u2013<\/em> x<\/em> + $\\frac{2}{9}$\r\n\r\n<\/div>\r\n<\/div>\r\n \r\n
\r\n

1.2. Equations<\/strong><\/p>\r\n\r\n<\/header>\r\n

\r\n\r\n1.<\/strong> a.<\/strong>\u00a0x<\/em> = 19\r\n\r\n\u00a0 \u00a0 b.<\/strong>\u00a0y<\/em> = $\\frac{1}{4}$\r\n\r\n\u00a0 \u00a0 c.<\/strong>\u00a0x<\/em> = $\\frac{3}{8}$\r\n\r\n\u00a0 \u00a0<\/strong> d.<\/strong>\u00a0<\/span>t<\/em> = $\\frac{3}{14}$<\/span>\r\n\r\n\u00a0 \u00a0 e.<\/strong>\u00a0x <\/em>= 2\r\n\r\n\u00a0 \u00a0 f.<\/strong>\u00a0y<\/em> = $\\frac{1}{2}$\r\n\r\n\u00a0 \u00a0 g.<\/strong>\u00a0t <\/em>= - 0.05\r\n\r\n\u00a0 \u00a0 h.<\/strong>\u00a0x<\/em> = $-\\frac{4}{5}$\r\n\r\n2. a.<\/strong>\u00a0\\$375 + y<\/em>\r\n\r\n\u00a0 \u00a0 b.<\/strong>\u00a0175 \u2013 y<\/em>\r\n\r\n\u00a0 \u00a0 c.<\/strong>\u00a045 \u2013 w<\/em>\r\n\r\n\u00a0 \u00a0 d.<\/strong>\u00a0$\\frac{x}{4}$\u00a0 ,\u00a0 <\/em>$\\frac{x}{48}$ \u00a0\u00a0\u00a0<\/em><\/strong>\r\n\r\n<\/div>\r\n<\/div>\r\n \r\n
\r\n

1.3. Measurement Systems<\/strong><\/p>\r\n\r\n<\/header>\r\n

\r\n\r\n1.<\/strong> a.<\/strong>\u00a00.439 m\r\n\r\n\u00a0 \u00a0 b.<\/strong>\u00a00.0000483 kL\r\n\r\n\u00a0 \u00a0 c.<\/strong>\u00a07.23 kg\r\n\r\n\u00a0 \u00a0 d.<\/strong>\u00a0520 mm\r\n\r\n2. a.<\/strong>\u00a04000 mm\r\n\r\n\u00a0 \u00a0 b.<\/strong>\u00a063006 g\r\n\r\n3.<\/strong>\u00a0<\/strong>a.<\/strong>\u00a038 g\r\n\r\n\u00a0 \u00a0 b.<\/strong>\u00a05000 cm3<\/sup>\r\n\r\n\u00a0 \u00a0 c.<\/strong>\u00a018,000 cm3<\/sup>\r\n\r\n\u00a0 \u00a0 d.<\/strong>\u00a00.039375 kL\r\n\r\n<\/div>\r\n<\/div>\r\n \r\n
\r\n

1.4. Ratios, Rates, and Percent<\/strong><\/p>\r\n\r\n<\/header>\r\n

\r\n\r\n1.<\/strong> a.<\/strong>\u00a0$\\frac{1}{4}$\r\n\r\n\u00a0 \u00a0 b.<\/strong>\u00a0$\\frac{7\\;people}{30\\;tickets}$\r\n\r\n\u00a0 \u00a0 c.<\/strong>\u00a0$\\frac{8\\;km}{37\\;min}$\r\n\r\n2.<\/strong> 76.5 km\/h\r\n\r\n3.<\/strong> $\\frac{24}{1970}=\\frac{12}{985}$\r\n\r\n4.<\/strong> \\$3.69\r\n\r\n5.<\/strong> \\$18,000\r\n\r\n6.<\/strong> 40%\r\n\r\n7.<\/strong> a.<\/strong> 28%\r\n\r\n\u00a0 \u00a0 b.<\/strong> 308\r\n\r\n\u00a0 \u00a0 c.<\/strong> 1200\r\n\r\n<\/div>\r\n<\/div>\r\n \r\n
\r\n

1.5. Exponents and Scientific Notation<\/strong><\/p>\r\n\r\n<\/header>\r\n

\r\n\r\n1. a.<\/strong> 24\r\n\r\n\u00a0 \u00a0 b.<\/strong> 982\r\n\r\n2. a.<\/strong> - 92\r\n\r\n\u00a0 \u00a0 b.<\/strong> y<\/em>7<\/sup>\r\n\r\n\u00a0 \u00a0 c.<\/strong> x<\/em>3<\/sup>\r\n\r\n\u00a0 \u00a0 d.<\/strong> $\\frac{13}{a}$\r\n\r\n\u00a0 \u00a0 e.<\/strong> 81a<\/em>8<\/sup> b<\/em>12<\/sup>\r\n\r\n\u00a0<\/strong>\u00a0 \u00a0f.<\/strong> $\\frac{5x^2}{y^{10}}$\r\n\r\n\u00a0 \u00a0 g.<\/strong> $\\frac{u^6}{w^{12}v^9}$\u00a0 \u00a0 \u00a0\u00a0\u00a0 <\/em>\r\n\r\n3. a.<\/strong> 4.56 \u00d7 107<\/sup>\r\n\r\n\u00a0 \u00a0 b.<\/strong> 5.23 \u00d7 10-6<\/sup>\r\n\r\n4. a.<\/strong> 3578\r\n\r\n\u00a0 \u00a0 b.<\/strong> 0.000043\r\n\r\n<\/div>\r\n<\/div>\r\n ","rendered":"
\n

Chapter 1 practice question answers<\/h1>\n<\/div>\n
\n
\n

1.1 Introduction<\/strong><\/p>\n<\/header>\n

\n

1.<\/strong> a.<\/strong> 5x<\/em>3<\/sup>\u00a0 \u00a0,\u00a0 \u00a08x<\/em>2<\/sup>\u00a0 \u00a0,\u00a0 \u00a02x<\/em><\/p>\n

\u00a0 \u00a0 b.<\/strong> \u2013\"\frac{2}{3}\"y<\/em>4<\/sup>\u00a0 \u00a0,\u00a0\u00a0 9a<\/em>2<\/sup>\u00a0 \u00a0,\u00a0 \u00a0a<\/em>\u00a0 \u00a0, \u00a0 –<\/em>1<\/p>\n

2.<\/strong> a.<\/strong> –x<\/em> + 19y <\/em><\/p>\n

\u00a0 \u00a0 b.<\/strong> 6a<\/em>2<\/sup> \u2013 31b<\/em><\/p>\n

\u00a0 \u00a0 c.<\/strong>\u00a09<\/span>m<\/em>2<\/sup> + 64<\/span>n<\/em><\/p>\n

3.<\/strong> a.<\/strong> 10a<\/em>2<\/sup> + 13<\/p>\n

\u00a0 \u00a0 b.<\/strong> -19x<\/em> + 39y<\/em><\/p>\n

\u00a0 \u00a0 c.<\/strong> 17ab<\/em> \u2013 28xy<\/em><\/p>\n

\u00a0 \u00a0 d.<\/strong>\u00a040y<\/em>2<\/sup> \u2013<\/em> 11y<\/em> \u2013<\/em> 63<\/p>\n

\u00a0 \u00a0 e.<\/strong>\u00a021r<\/em>2<\/sup> + 28rt<\/em>2<\/sup> \u2013<\/em> 6rt \u2013<\/em>8t<\/em>3<\/sup><\/p>\n

\u00a0 \u00a0 f.<\/strong>\u00a0x<\/em>2<\/sup> \u2013<\/em> x<\/em> + \"\frac{2}{9}\"<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

1.2. Equations<\/strong><\/p>\n<\/header>\n

\n

1.<\/strong> a.<\/strong>\u00a0x<\/em> = 19<\/p>\n

\u00a0 \u00a0 b.<\/strong>\u00a0y<\/em> = \"\frac{1}{4}\"<\/p>\n

\u00a0 \u00a0 c.<\/strong>\u00a0x<\/em> = \"\frac{3}{8}\"<\/p>\n

\u00a0 \u00a0<\/strong> d.<\/strong>\u00a0<\/span>t<\/em> = \"\frac{3}{14}\"<\/span><\/p>\n

\u00a0 \u00a0 e.<\/strong>\u00a0x <\/em>= 2<\/p>\n

\u00a0 \u00a0 f.<\/strong>\u00a0y<\/em> = \"\frac{1}{2}\"<\/p>\n

\u00a0 \u00a0 g.<\/strong>\u00a0t <\/em>= – 0.05<\/p>\n

\u00a0 \u00a0 h.<\/strong>\u00a0x<\/em> = \"-\frac{4}{5}\"<\/p>\n

2. a.<\/strong>\u00a0$375 + y<\/em><\/p>\n

\u00a0 \u00a0 b.<\/strong>\u00a0175 \u2013 y<\/em><\/p>\n

\u00a0 \u00a0 c.<\/strong>\u00a045 \u2013 w<\/em><\/p>\n

\u00a0 \u00a0 d.<\/strong>\u00a0\"\frac{x}{4}\"\u00a0 ,\u00a0 <\/em>\"\frac{x}{48}\" \u00a0\u00a0\u00a0<\/em><\/strong><\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

1.3. Measurement Systems<\/strong><\/p>\n<\/header>\n

\n

1.<\/strong> a.<\/strong>\u00a00.439 m<\/p>\n

\u00a0 \u00a0 b.<\/strong>\u00a00.0000483 kL<\/p>\n

\u00a0 \u00a0 c.<\/strong>\u00a07.23 kg<\/p>\n

\u00a0 \u00a0 d.<\/strong>\u00a0520 mm<\/p>\n

2. a.<\/strong>\u00a04000 mm<\/p>\n

\u00a0 \u00a0 b.<\/strong>\u00a063006 g<\/p>\n

3.<\/strong>\u00a0<\/strong>a.<\/strong>\u00a038 g<\/p>\n

\u00a0 \u00a0 b.<\/strong>\u00a05000 cm3<\/sup><\/p>\n

\u00a0 \u00a0 c.<\/strong>\u00a018,000 cm3<\/sup><\/p>\n

\u00a0 \u00a0 d.<\/strong>\u00a00.039375 kL<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

1.4. Ratios, Rates, and Percent<\/strong><\/p>\n<\/header>\n

\n

1.<\/strong> a.<\/strong>\u00a0\"\frac{1}{4}\"<\/p>\n

\u00a0 \u00a0 b.<\/strong>\u00a0\"\frac{7\;people}{30\;tickets}\"<\/p>\n

\u00a0 \u00a0 c.<\/strong>\u00a0\"\frac{8\;km}{37\;min}\"<\/p>\n

2.<\/strong> 76.5 km\/h<\/p>\n

3.<\/strong> \"\frac{24}{1970}=\frac{12}{985}\"<\/p>\n

4.<\/strong> $3.69<\/p>\n

5.<\/strong> $18,000<\/p>\n

6.<\/strong> 40%<\/p>\n

7.<\/strong> a.<\/strong> 28%<\/p>\n

\u00a0 \u00a0 b.<\/strong> 308<\/p>\n

\u00a0 \u00a0 c.<\/strong> 1200<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

\n
\n

1.5. Exponents and Scientific Notation<\/strong><\/p>\n<\/header>\n

\n

1. a.<\/strong> 24<\/p>\n

\u00a0 \u00a0 b.<\/strong> 982<\/p>\n

2. a.<\/strong> – 92<\/p>\n

\u00a0 \u00a0 b.<\/strong> y<\/em>7<\/sup><\/p>\n

\u00a0 \u00a0 c.<\/strong> x<\/em>3<\/sup><\/p>\n

\u00a0 \u00a0 d.<\/strong> \"\frac{13}{a}\"<\/p>\n

\u00a0 \u00a0 e.<\/strong> 81a<\/em>8<\/sup> b<\/em>12<\/sup><\/p>\n

\u00a0<\/strong>\u00a0 \u00a0f.<\/strong> \"\frac{5x^2}{y^{10}}\"<\/p>\n

\u00a0 \u00a0 g.<\/strong> \"\frac{u^6}{w^{12}v^9}\"\u00a0 \u00a0 \u00a0\u00a0\u00a0 <\/em><\/p>\n

3. a.<\/strong> 4.56 \u00d7 107<\/sup><\/p>\n

\u00a0 \u00a0 b.<\/strong> 5.23 \u00d7 10-6<\/sup><\/p>\n

4. a.<\/strong> 3578<\/p>\n

\u00a0 \u00a0 b.<\/strong> 0.000043<\/p>\n<\/div>\n<\/div>\n

 <\/p>\n","protected":false},"author":2,"menu_order":6,"template":"","meta":{"pb_show_title":"","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[49],"contributor":[],"license":[],"class_list":["post-31","chapter","type-chapter","status-publish","hentry","chapter-type-numberless"],"part":20,"_links":{"self":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters\/31","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/users\/2"}],"version-history":[{"count":2,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters\/31\/revisions"}],"predecessor-version":[{"id":208,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters\/31\/revisions\/208"}],"part":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/parts\/20"}],"metadata":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapters\/31\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/media?parent=31"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/pressbooks\/v2\/chapter-type?post=31"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/contributor?post=31"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/pohmath\/wp-json\/wp\/v2\/license?post=31"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}