simplifying radical expressions multiple choice doc

0000124091 00000 n 1 g q /Type /XObject >> W* n /F1 6 0 R 0.564 G endstream Q /Meta2268 Do /Type /XObject /Type /XObject Q Q 0 g 0.566 0.413 l 2255 0 obj << To write a radicand use sqrt( ). q [(x)] TJ Q endobj 45.214 0 0 45.413 81.303 343.282 cm /Meta2160 2186 0 R >> >> W* n S ET endstream 1939 0 obj << Q Finally, find the slope of each of the two lines. /Meta1976 1998 0 R q /F1 0.217 Tf 9.523 0.314 l 2331 0 obj << 0.283 0.2 l 1 j /Font << /Resources << The general equation is EMBED Equation.DSMT4 . BT /Subtype /Form S Q Q /Meta2001 Do 0.267 0.283 l 0000647069 00000 n 45.663 0 0 45.147 426.844 417.81 cm ET Q q /Font << /BBox [0 0 0.263 0.283] 0000816850 00000 n Q /BBox [0 0 9.523 0.314] /BBox [0 0 9.523 0.314] q stream 45.249 0 0 45.527 105.393 602.25 cm /Type /XObject Q BT stream 0000342869 00000 n 0000791696 00000 n 0.248 0.087 TD 0 0 l >> 45.663 0 0 45.147 90.337 187.45 cm /Length 55 endstream /Type /XObject 0000206929 00000 n 0000681357 00000 n 0 g 0 G Q 0000233616 00000 n 0000167167 00000 n /Meta1925 1947 0 R Q /Matrix [1 0 0 1 0 0] Q BT endstream 0 G 1 j [(+)] TJ /Meta1910 1932 0 R Q endobj /Matrix [1 0 0 1 0 0] 45.249 0 0 45.316 329.731 519.44 cm >> q BT /Meta2147 2171 0 R 1.547 0.33 l /Length 102 /Matrix [1 0 0 1 0 0] 0 G /Matrix [1 0 0 1 0 0] 2162 0 obj << 0000670832 00000 n endobj 0000185032 00000 n 45.324 0 0 45.147 54.202 387.698 cm W* n endstream 0 0.314 m 0.267 0.5 l /Type /XObject /Subtype /Form Q /Meta1891 Do endobj /BBox [0 0 0.263 0.283] 0000143057 00000 n 0000567983 00000 n 0.181 0.087 TD /XObject << >> /Length 72 q >> /BBox [0 0 11.988 0.283] /F1 0.217 Tf 0.015 w /Resources << /Matrix [1 0 0 1 0 0] endstream q Q /FormType 1 0000189935 00000 n 0000675757 00000 n >> 0000514806 00000 n /FormType 1 endstream Q endstream /Type /XObject Q 0000529405 00000 n q 0000271866 00000 n endstream 0000235650 00000 n stream >> /Subtype /Form /Meta2284 Do /Length 102 0.458 0 0 RG /Subtype /Form 0 w 0.458 0 0 RG /Length 55 /Subtype /Form 0.047 0.087 TD /Meta2179 Do 2159 0 obj << endstream 0 0 l 0000722190 00000 n 0 0 l /BBox [0 0 9.523 0.314] Q -0.007 Tc >> Q Q 1 j BT q /Meta2095 Do /Length 94 0000435422 00000 n 45.663 0 0 45.147 314.675 245.416 cm Radical Expressions Session 2 . /Resources << /Font << endstream 0.015 w q /FormType 1 /Resources << /Meta1859 1881 0 R 0 g Radicals - Rationalize Denominators Objective: Rationalize the denominators of radical expressions. 0 G q stream /FormType 1 0000028426 00000 n t ��0 � � � � � � � 6� � � � � �� 4� 4� 0 g /Matrix [1 0 0 1 0 0] 45.214 0 0 45.413 81.303 614.294 cm 0 0 l 0 w 1965 0 obj << 1.547 0.314 l /Length 69 endobj /Matrix [1 0 0 1 0 0] q q 0 w q >> /Type /XObject q 0.564 G endstream /Meta2134 2156 0 R /Type /XObject 1942 0 obj << /Meta2080 2102 0 R c) The parent function EMBED Equation.DSMT4 is compressed vertically by a factor of EMBED Equation.DSMT4 and then translated 2 units up. 1.547 0.283 l Q BT Q /Type /XObject >> /FormType 1 /Length 163 endstream 0000679908 00000 n 0000463338 00000 n >> >> endobj 1 j 0000155204 00000 n Q 0000692161 00000 n If yes, state why. S Q 11.988 0.283 l q /Matrix [1 0 0 1 0 0] 0.488 0.305 0.459 0.29 0.451 0.264 c q [(9)] TJ 0 0.283 m /Length 136 0.118 0.366 m S /F1 0.217 Tf >> /Font << Q ET 0.114 0.308 TD /FormType 1 /Subtype /Form >> Q q /BBox [0 0 0.263 0.283] 0 0.283 m ET /Type /XObject >> /Type /XObject 0000131062 00000 n 0 0 l /FormType 1 1 g q q /Length 67 0 0.283 m 0.12 0.015 0.124 0.016 0.128 0.017 c [(x)] TJ /Subtype /Form 0000696194 00000 n >> -0.002 Tc 1.547 -0.003 l /Matrix [1 0 0 1 0 0] /Subtype /Form 1.547 0 l 1.547 0.681 l /Matrix [1 0 0 1 0 0] q q 0 G /Length 102 0 g 0000312909 00000 n Q 45.527 0 0 45.147 523.957 432.114 cm 0000498686 00000 n 0 0.314 m 0000791931 00000 n 0 0.283 m Q 0.458 0 0 RG 0 0 l 0 G endstream Q ET 2247 0 obj << q Q stream /I0 Do 0.267 0 l /Subtype /Form /FormType 1 BT >> /Subtype /Form Q /Length 102 0000326597 00000 n /I0 Do 0 0.283 m /Meta2074 2096 0 R 45.249 0 0 45.372 105.393 187.45 cm Next, find the inverse algebraically, and graph it to check your graph of the inverse. 0.034 0.321 0.051 0.342 0.051 0.366 c /FormType 1 Q W* n /FormType 1 0 G 0 0 l ET -0.002 Tc 0.015 w /BBox [0 0 0.263 0.283] 0 -0.003 l /Meta2088 Do >> 0000729402 00000 n 0000173212 00000 n 0.448 0.091 TD endstream 0.031 0.087 TD Q 0000201530 00000 n 0 0.087 TD Q 0000660111 00000 n 578.159 290.585 l >> [({)] TJ >> >> S 1 g 1895 0 obj << 0.564 G /Subtype /Form 1 g /FormType 1 /Font << 0.417 0.283 l 0 0 l BT endobj /Matrix [1 0 0 1 0 0] q /Subtype /Form Q /Subtype /Form Q 0 w 0.464 0.087 TD stream 0000337638 00000 n 0 g Q /Resources << endstream /Meta1899 Do BT 0 G endstream endstream 0 G stream [(4)19(7\))] TJ 0.031 0.087 TD /Meta1809 Do /Font << /BBox [0 0 0.531 0.283] 0.299 0.087 TD 2095 0 obj << 0.564 G 0000026256 00000 n ET >> /Font << /Type /XObject W* n [(2)] TJ >> /Matrix [1 0 0 1 0 0] 0.267 0.5 l 0.458 0 0 RG /Matrix [1 0 0 1 0 0] /BBox [0 0 1.547 0.283] Q 0 G [(16)] TJ 1 j >> endobj 0.665 0.35 l /Subtype /Form Q 0 0.5 m Q 0 0 l 0 g 0000420579 00000 n /Meta1975 Do [(x)] TJ /Type /XObject q q Q 1837 0 obj << [(C\))] TJ 0 g W* n Q /Type /XObject Q 0000132831 00000 n 0 0.464 m 0 0 l /Meta1888 1910 0 R /F1 0.217 Tf >> Q 0 g 0 0.283 m ET /Subtype /Form 0 G /Resources << 0.562 0.087 TD endstream [(5)19(1\))] TJ Q q /Meta1878 1900 0 R 0000720667 00000 n endstream >> /Font << endstream 0000303391 00000 n /Resources << 0 0 l /Meta2311 2337 0 R 0 G /F1 0.217 Tf /Font << >> /XObject << 9.791 0 0 0.283 0 0 cm q /Subtype /Form 0000530202 00000 n Q 9.791 0 l /Subtype /Form /Meta1883 Do /Length 102 0000346571 00000 n >> 0 w 0000192080 00000 n 45.324 0 0 45.147 54.202 614.294 cm This activity was created by a Quia Web subscriber. 0000502041 00000 n 0.564 G 0000032931 00000 n 45.663 0 0 45.147 90.337 187.45 cm 0.334 0.299 l /Meta2118 Do /Font << /Subtype /Form stream 0.015 w W* n 1 g 0 0 l 0 0.283 m 0 g /F1 6 0 R Q /FormType 1 BT 0.015 w /Length 928 0.458 0 0 RG 1.547 0.633 l 0 G 0000794491 00000 n >> /F1 0.217 Tf 0 G /FormType 1 /Matrix [1 0 0 1 0 0] 0000417165 00000 n >> /FormType 1 [(7)] TJ q /Type /XObject 0 G 45.214 0 0 45.413 81.303 614.294 cm BT 0.015 w >> 9.791 0 l /Subtype /Form q /Matrix [1 0 0 1 0 0] 1.547 -0.003 l ET 0.267 0 l 45.233 0 0 45.168 105.393 245.416 cm >> 0 G 0.015 w /Meta2314 Do /Meta2099 2121 0 R 0.267 0.283 l /Subtype /Form ET q /BBox [0 0 1.547 0.33] endstream /Meta1939 Do endstream W* n /BBox [0 0 0.263 0.5] /Type /XObject q /F1 0.217 Tf /Subtype /Form /Length 67 0.181 0.485 TD /BBox [0 0 1.547 0.633] [(+)] TJ 0.015 w 0 0 l 1863 0 obj << 0 w FALSE ANSWERS ARE ______________________! 0.015 w /Meta2133 2155 0 R >> /Length 67 0.564 G Q stream /F1 6 0 R 0 -0.003 l 0 G Q 2150 0 obj << 1.547 0 l q 0000461238 00000 n q /BBox [0 0 0.413 0.283] /BBox [0 0 0.263 0.283] /Length 102 >> Q q 0 g 0 G /Subtype /Form q >> S stream 0.248 0.129 m /Resources << 0000684744 00000 n /Length 55 /Meta1872 Do W* n 0.431 0.554 m 0000323916 00000 n q endobj 0000063975 00000 n /BBox [0 0 1.547 0.283] /Meta2086 2108 0 R /Matrix [1 0 0 1 0 0] 2102 0 obj << Index or Root Radicand 0.015 w /Length 65 Q /Meta1990 2012 0 R /FormType 1 9.791 0 l ET /Resources << /Matrix [1 0 0 1 0 0] /Length 55 0000352838 00000 n 0000805561 00000 n 0.564 G 0 g stream >> Q 0 0 l W* n /BBox [0 0 1.547 0.464] 0 g >> 0000684276 00000 n >> q q /F1 6 0 R /BBox [0 0 9.523 0.314] 0000538528 00000 n /Length 402 0.458 0 0 RG 0.564 G 0.267 0 l q /Subtype /Form Q q /Meta1771 Do /Font << endobj 0 g /Subtype /Form Q stream 0.564 G 0000465575 00000 n q 0 G 0000706060 00000 n BT endstream 0 g 2.161 0.087 TD 0.564 G /FormType 1 /FormType 1 q /BBox [0 0 1.547 0.633] /FormType 1 BT 1805 0 obj << 1796 0 obj << endstream endobj Radical and Rational Expressions Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. endobj 1.314 0.35 l /Type /XObject 0000161805 00000 n 0.132 0.615 m q /BBox [0 0 1.547 0.314] stream /Meta2283 2309 0 R /FormType 1 0000541826 00000 n Q 0 w 0000414862 00000 n 45.324 0 0 45.147 54.202 208.529 cm 0 G >> /F1 0.217 Tf >> 0.066 0.251 m 0000214989 00000 n q >> endobj q 0.248 0.783 l /BBox [0 0 0.263 0.283] S 1.314 0.087 TD ET /BBox [0 0 0.263 0.547] 0 -0.003 l >> S 0.458 0 0 RG 0.866 0.087 TD Q /Type /XObject >> /Font << 0000216655 00000 n q /Type /XObject [(3)51(.5)] TJ /F1 0.217 Tf Q ET q q /Matrix [1 0 0 1 0 0] Q 1 j q /Length 302 /Subtype /Form /F1 0.217 Tf 0.566 0.366 m 0000793025 00000 n 45.249 0 0 45.413 217.562 328.979 cm 0000420016 00000 n 0 G 0000351404 00000 n ET 0 w /Subtype /Form /Length 928 /Matrix [1 0 0 1 0 0] 0.267 0 l /F1 0.217 Tf /FormType 1 0000437843 00000 n 0000630898 00000 n /BBox [0 0 9.523 0.314] Q /FormType 1 q /Length 66 /Matrix [1 0 0 1 0 0] 1 g /Length 163 Q q -0.002 Tc /F1 0.217 Tf /Type /XObject 45.663 0 0 45.147 426.844 602.25 cm S /F1 0.217 Tf q /Meta2258 2284 0 R 1.547 0 l /Font << BT /Font << /F1 0.217 Tf q q 0.299 0.087 TD /FormType 1 0 0 l Q 0.034 0.321 0.051 0.342 0.051 0.366 c Q /FormType 1 0000506972 00000 n q [(D\))] TJ � 0000129398 00000 n q 0.417 0.283 l /F1 6 0 R BT >> 0.732 0.299 l /Meta1871 Do Q 0.564 G /Meta1972 1994 0 R 0.564 G /BBox [0 0 0.263 0.283] q endstream >> 1 j 0000723676 00000 n >> 0000813414 00000 n 0 0 l 0.564 G BT 1 g 0000440836 00000 n q 0.066 0.573 0.066 0.561 0.069 0.551 c Q /Type /XObject 0.118 0.366 m 0 g Q /Resources << q ET 45.249 0 0 45.147 329.731 712.913 cm 0000554985 00000 n /Subtype /Form /Meta2186 2212 0 R q 0.531 0.283 l >> 0000803153 00000 n 0.031 0.087 TD endstream 0000462636 00000 n 45.249 0 0 45.413 217.562 417.81 cm /Matrix [1 0 0 1 0 0] BT /Length 122 q Q 2214 0 obj << 0.417 0 l 2244 0 obj << /Subtype /Form 2305 0 obj << /Meta1770 1792 0 R W* n endobj 0 G /Font << stream q /F1 6 0 R /F1 6 0 R 0 G /Length 67 /BBox [0 0 0.263 0.283] W* n 0000456286 00000 n ET Q 0 w 0 0 l 0000300561 00000 n 0000810591 00000 n [<002B>] TJ BT 45.527 0 0 45.147 523.957 512.665 cm W* n 0.015 w Multiplying Monomials . Rational Expressions Practice Test Name _____ (Multiple Choice) 1. 0000267431 00000 n endobj 1.181 0.2 l 0.149 0.252 TD /Matrix [1 0 0 1 0 0] 0.614 0.299 l W* n 0000537485 00000 n /Type /XObject /FormType 1 Q 0 g /Meta1997 Do endstream /Length 54 0000539219 00000 n >> /Matrix [1 0 0 1 0 0] 1.547 0.33 l Q q q /BBox [0 0 9.523 0.314] Q >> stream 0 0.283 m q Q >> stream /Resources << stream /BBox [0 0 9.787 0.283] q S BT 0000769764 00000 n /BBox [0 0 9.523 0.314] /BBox [0 0 1.547 0.633] 9.791 0 l 0000340556 00000 n [(5)19(0\))] TJ q /F1 0.217 Tf q ET 0000161559 00000 n /BBox [0 0 9.523 0.314] W* n 0.005 Tc 0000094261 00000 n /Meta2141 Do 0.232 0.047 l q 0000022322 00000 n 0 G >> >> 0000619103 00000 n /Length 67 /Length 102 1.48 0.087 TD 0 g 0 -0.003 l W* n /Font << Q /Meta1919 Do 0000582922 00000 n /F3 23 0 R [(x)] TJ 45.249 0 0 45.316 105.393 680.542 cm q /Length 1036 q /Length 69 0000432876 00000 n /Meta1941 1963 0 R q >> 1 g 0000544453 00000 n Q Q /Meta1846 1868 0 R Q 0.005 Tc 9.791 0 l 0.5 0.299 l 0 0.283 m endobj 0000705276 00000 n /Matrix [1 0 0 1 0 0] /BBox [0 0 1.547 0.283] 2277 0 obj << /Matrix [1 0 0 1 0 0] endobj /Font << /Meta2046 Do 0000083097 00000 n /F1 0.217 Tf /BBox [0 0 1.547 0.283] ET q 0 g q 0.283 0.087 TD 45.663 0 0 45.147 90.337 712.913 cm 2143 0 obj << 45.214 0 0 45.413 81.303 343.282 cm endstream 2183 0 obj << q 0 0.283 m 2278 0 obj << q 0.665 0.35 l 0000332338 00000 n 0 0.087 TD q 0 w /Matrix [1 0 0 1 0 0] 0000650030 00000 n /BBox [0 0 1.547 0.283] >> 1 j 0000493127 00000 n Q /F1 6 0 R 0.458 0 0 RG 0000161317 00000 n 0000297609 00000 n q >> Q /FormType 1 0000711316 00000 n 45.249 0 0 45.131 441.9 703.126 cm 0 G 0.712 0.087 TD /FormType 1 /Type /XObject endstream 0000800657 00000 n q Q q >> endstream 0 G Q q Q endstream -0.007 Tc q 0 G /Matrix [1 0 0 1 0 0] /BBox [0 0 1.547 0.314] q -0.007 Tc endobj [(4)] TJ Q 0000277373 00000 n BT 0.031 0.154 TD 0.047 0.087 TD Q 0.267 0.283 l -0.007 Tc q Q q /F1 0.217 Tf BT 45.249 0 0 45.413 105.393 462.226 cm /Font << 0000526601 00000 n 0.12 0.015 0.124 0.016 0.128 0.017 c BT /Matrix [1 0 0 1 0 0] 0000567521 00000 n 0 g /Meta2294 2320 0 R 0000133535 00000 n /Meta1754 1776 0 R /Meta2157 Do 9.523 0.314 l /Type /XObject 0.181 0.087 TD q q q 45.249 0 0 45.147 105.393 601.497 cm 0 G /Font << stream 0 g /F1 0.217 Tf endobj 2.0k plays . 0 g 0000620733 00000 n 0 G ET ET stream 0 g /Type /XObject 0 0 l 0 0.283 m 0000203370 00000 n 0000221370 00000 n stream Q 0000009657 00000 n >> /BBox [0 0 9.523 0.464] /Meta1989 2011 0 R Q /Meta2014 Do 0 g >> /Resources << 0000502518 00000 n Q 0.015 w /Length 66 endobj 0 g Q 45.663 0 0 45.147 314.675 497.609 cm 0000532384 00000 n >> /FormType 1 /Resources << /Meta2223 Do Q stream endstream 1 j 0 G BT q /BBox [0 0 9.523 0.314] 0.417 0 l q << /Font << 0000432392 00000 n /Matrix [1 0 0 1 0 0] /Length 353 S q 0 0 l [(x)] TJ 0 g 45.249 0 0 45.147 441.9 82.809 cm Questions #2: What are the domain and range of a relation (or function)? q 0000296992 00000 n /Type /XObject 1 g >> /Meta1940 Do 0 0 l Q 45.324 0 0 45.147 54.202 512.665 cm /Subtype /Form q /Meta2010 Do endobj /F1 0.217 Tf /Meta2090 Do 0000385108 00000 n 0 g 0 w 45.249 0 0 45.147 441.9 131.742 cm >> 1 g /Matrix [1 0 0 1 0 0] /Length 55 /F1 6 0 R W* n 0 g >> /Subtype /Form 2178 0 obj << BT /Subtype /Form 1.547 0.33 l 0.515 0.337 0.537 0.314 0.564 0.314 c ET Q 0000379856 00000 n BT /Length 102 Q /Matrix [1 0 0 1 0 0] 0 0.283 m stream q 0000229201 00000 n /Meta1762 1784 0 R /Type /XObject 0000329889 00000 n >> 0000218012 00000 n endobj q /Matrix [1 0 0 1 0 0] /Matrix [1 0 0 1 0 0] 0 G 0 g 1.547 0 l 0000814637 00000 n (a) 0 (b) 9 4 (c) 7 4 (d) Undefined 3. 0.118 0.047 l 0.149 0.129 m endobj /Resources << 0.564 G /Matrix [1 0 0 1 0 0] 0 0 l Q Q /F1 0.217 Tf >> 0.564 G 2135 0 obj << 0 w 1.933 0.299 l 9.791 0 0 0.283 0 0 cm 0000006830 00000 n endstream /Resources << 1890 0 obj << /Font << 0.566 0.35 l /Meta1756 Do q >> endstream endobj stream 2142 0 obj << Q Q 0000804840 00000 n 0.564 G 0.564 G 0 0 l q 0.458 0 0 RG >> S The parent function is __________________. 0.267 0 l 2060 0 obj << /F1 0.217 Tf /FormType 1 Q /Resources << >> 2027 0 obj << /FormType 1 Q stream >> 0000046265 00000 n >> 45.214 0 0 45.339 81.303 711.407 cm /Length 65 stream endobj /Meta1701 Do Q >> endobj 0000709820 00000 n 0.564 G Q q >> /Matrix [1 0 0 1 0 0] W* n /Meta1830 1852 0 R endstream 0 0.5 m 0.066 0.038 0.088 0.015 0.116 0.015 c /BBox [0 0 1.547 0.33] /BBox [0 0 0.263 0.283] BT >> 0.267 0 l Q 11.) 0000635774 00000 n q 1941 0 obj << 0000088768 00000 n 0000628701 00000 n 0000334100 00000 n stream 0 0 l 0000322640 00000 n Q endstream /FormType 1 /Length 55 0000142823 00000 n 0.418 0.023 0.433 0.043 0.433 0.066 c 0 0.283 m /Meta1943 1965 0 R 0.564 G 0 w Q 0000502764 00000 n 0 g q endobj /F1 6 0 R 0 G -0.008 Tc 2040 0 obj << q /Subtype /Form 0.458 0 0 RG 0 w /Font << >> 0 G q >> /FormType 1 0 G /Meta2216 2242 0 R 4.027 0 l 1 g q BT /Subtype /Form ET /Subtype /Form q 0 0.314 m 0 w 0.267 0.5 l /Matrix [1 0 0 1 0 0] 0 G /FormType 1 q Q 0 0.283 m /Meta2159 2185 0 R W* n /F1 6 0 R /Matrix [1 0 0 1 0 0] 0000654846 00000 n Is the inverse a function, or just a relation? /Meta2295 Do 0 0 l 0000135876 00000 n 0000559409 00000 n /Subtype /Form 0.015 w [({)] TJ 0 G Q /F1 0.217 Tf /Matrix [1 0 0 1 0 0] W* n /Subtype /Form x y -1 1 3 2 5 3 5 5 RELATION INVERSE y x Day 9: Functions and their Inverses " - 6 7 9 : ; = > S T � � � � � � � � 5 6 7 } ~ � � � � � � � � � � Q 0 w /Resources << q /Matrix [1 0 0 1 0 0] >> endstream 1.33 0.091 TD /BBox [0 0 0.263 0.283] /Matrix [1 0 0 1 0 0] 0.458 0 0 RG 1866 0 obj << 0.267 0 l 0 w /BBox [0 0 9.523 0.314] /Meta2008 Do Q >> Q /Subtype /Form Q 0 0.087 TD Q 0000724205 00000 n >> 0000438077 00000 n q 0000551853 00000 n Q /FormType 1 All exponential must have a same base in order to factor b. 0.267 0.283 l /Length 23594 0000355255 00000 n q /Subtype /Form endobj >> 0000044507 00000 n 2195 0 obj << /Length 66 endstream 0.066 0.35 l endobj q Q /Type /XObject 0000433820 00000 n /Subtype /Form q 0 0 l /Length 69 [(A\))] TJ /Matrix [1 0 0 1 0 0] /Resources << 1 g Q Q /Meta2052 2074 0 R 0000809031 00000 n 0 0 l Q /BBox [0 0 0.413 0.283] [(C\))] TJ Q /Subtype /Form W* n endstream endstream 45.249 0 0 45.372 217.562 187.45 cm W* n 0000007532 00000 n endstream endstream 1889 0 obj << /F1 6 0 R /F1 6 0 R stream 0.295 0.017 m 0 0.283 m endstream /Type /XObject >> endobj /FormType 1 S Method 1: Translations (best when the a value = ___) a) EMBED Equation.DSMT4 b) EMBED Equation.DSMT4 c) EMBED Equation.DSMT4 Starting point: __________ Starting point: __________ Starting point: __________Method 2: Graphing Calculator (useful when EMBED Equation.DSMT4 , or anytime you are stuck on a graphing problem!) BT 0 0.314 m 0000148061 00000 n endobj >> 0.056 0.262 0.041 0.288 0.015 0.296 c /F1 6 0 R /BBox [0 0 11.988 0.283] /Type /XObject ET 0 G 0.433 0.299 l 578.159 432.114 l 0.732 0.299 l 0000415105 00000 n View Chapter 11 - Radical Expressions and Equations.docx from WHAP 101 at Madison Central High School. endstream 0.015 w 0000184186 00000 n /Meta2204 Do 0000235882 00000 n >> /F1 6 0 R Q q 0000318982 00000 n 0000023023 00000 n Q /Meta1971 Do /F3 23 0 R /F1 0.217 Tf 0 w >> /FormType 1 >> /Meta1770 Do 0 g /Font << /Resources << /Meta2102 2124 0 R 0000561617 00000 n 0.334 0.047 l /BBox [0 0 9.523 0.314] -0.002 Tc 1 J >> Q [(/)] TJ Q Exercise Set 5.1: Simplifying Rational Expressions Q /Resources << 0 w 1.547 0 l /F3 0.217 Tf 0.564 G 0 0.283 m endstream 0 -0.003 l >> /Meta1814 1836 0 R /Resources << endstream /BBox [0 0 9.523 0.314] /BBox [0 0 1.547 0.283] 0000708552 00000 n 0000610297 00000 n 0000318495 00000 n /BBox [0 0 9.523 0.5] 0 0.5 m 0.066 0.573 0.066 0.561 0.069 0.551 c 0 w 0000553328 00000 n BT >> /BBox [0 0 9.523 0.314] 0.98 0.087 TD /Type /XObject 0 -0.003 l 0.015 w BT Q /F1 0.217 Tf /Meta2282 2308 0 R [(4)19(8\))] TJ /Length 66 /Matrix [1 0 0 1 0 0] /FormType 1 /Meta2006 Do Q 0.049 0.237 m 1.547 0.33 l Q 0.458 0 0 RG 45.249 0 0 45.372 441.9 187.45 cm q Q 0000458810 00000 n /I0 Do endobj 0.564 G [(4)19(8\))] TJ 45.663 0 0 45.147 314.675 268.001 cm 0 -0.003 l /Subtype /Form /Length 72 S 0 0 l q /Meta2103 Do >> q q /BBox [0 0 1.547 0.33] Q 1814 0 obj << Q 0 w q 0.458 0 0 RG /Font << 0.031 0.165 l 0000002432 00000 n /Meta2007 2029 0 R 0.564 G endstream q q W* n /BBox [0 0 9.523 0.314] /Meta2270 2296 0 R endobj 0 G /Resources << 0000218244 00000 n 1.196 0.087 TD >> ET Q /FormType 1 /Subtype /Form 0.106 0.624 0.078 0.61 0.069 0.583 c /Subtype /Form ET stream endobj 0 G /FormType 1 0.458 0 0 RG /Font << 0 G 45.214 0 0 45.168 81.303 290.585 cm If we take Warm up question #1 and put a 6 in front of it, it looks like this. 1.547 -0.003 l 0000681846 00000 n /Font << 1 j /Type /XObject /F1 6 0 R /F3 23 0 R /Type /XObject Q 1 g [(8)] TJ /BBox [0 0 1.547 0.314] /Resources << 0 0 l /Meta1923 1945 0 R CHAPTER 5 Rational Expressions, Equations, and Functions. >> /Type /XObject 0.031 0.087 TD /Meta2259 2285 0 R S /FormType 1 0.003 Tw /Matrix [1 0 0 1 0 0] 45.214 0 0 45.413 81.303 387.698 cm q 0 0.087 TD [(/2)] TJ /Meta1714 Do 0000453016 00000 n >> 0.015 w 45.214 0 0 45.413 81.303 673.014 cm W* n endstream >> /Length 66 0 G >> /Meta2051 2073 0 R 0 g /F1 0.217 Tf endstream 0 G /Subtype /Form 1 g /BBox [0 0 1.547 0.33] /FormType 1 /Meta2168 Do 0000657208 00000 n S 0.232 0.047 l Q 0000353316 00000 n /Subtype /Form 1.547 0 l BT /F1 0.217 Tf Learn more about Quia: Create your own activities Q 0000796412 00000 n >> /Subtype /Form 0 g /Type /XObject /Matrix [1 0 0 1 0 0] 0000090985 00000 n 0.015 w 11.988 0.283 l >> /BBox [0 0 9.523 0.314] 0000536981 00000 n 0000805797 00000 n 0000160091 00000 n 0000176934 00000 n /FormType 1 endstream q 0000630411 00000 n Q >> 0 w stream q 9.791 0 l /Meta1871 1893 0 R q 1931 0 obj << q /Matrix [1 0 0 1 0 0] q 0 w >> 0 0 l q 0 0 l /Meta2180 2206 0 R q 0000320322 00000 n 0 g S /Meta2290 2316 0 R /Matrix [1 0 0 1 0 0] /Meta2161 2187 0 R 1.547 -0.003 l Q 0000794721 00000 n 0 0 l /Meta1947 1969 0 R q q /F1 0.217 Tf Q q q 45.214 0 0 45.413 81.303 512.665 cm 0000576427 00000 n 0.133 0.485 TD endstream 0 g Q W* n endobj 0.458 0 0 RG /Font << /Resources << 1 g 0000200802 00000 n endobj 0 0 l /Meta2036 2058 0 R /Subtype /Form -0.002 Tc 0.448 0.337 0.471 0.314 0.5 0.314 c endobj 0000561123 00000 n Simplifying Radical Expressions A radical expression is composed of three parts: a radical symbol, a radicand, and an index In this tutorial, the primary focus is on simplifying radical expressions with an index of 2. 0000331860 00000 n /Meta2263 Do q 0000448336 00000 n 45.527 0 0 45.147 523.957 563.856 cm >> 45.663 0 0 45.168 90.337 542.777 cm 0000003042 00000 n 0000032698 00000 n 0000050642 00000 n >> 0000179719 00000 n /Meta2226 Do 0000621212 00000 n /FormType 1 0000789499 00000 n 0000585821 00000 n /Subtype /Form q Q 0.267 0.5 l ET 0.015 w 0000501105 00000 n >> /FormType 1 Q endobj 0 G >> /F1 6 0 R Q 2181 0 obj << /Matrix [1 0 0 1 0 0] 0000411709 00000 n q 1816 0 obj << q /Subtype /Form 0 G S /Type /XObject 0000137619 00000 n S /Length 51 Q 1 J /F1 0.217 Tf endobj 0 0.633 m 0 g Q 0000446453 00000 n /Type /XObject /Meta1988 Do W* n 0 g 0 0.283 m 0000691208 00000 n 0 G 0.458 0 0 RG stream 1.547 0.283 l 0.83 0.087 TD q 0000780235 00000 n /Resources << 45.249 0 0 45.527 329.731 602.25 cm /Resources << BT 0 w 0.564 G /BBox [0 0 1.547 0.33] stream 0.458 0 0 RG q >> Q /FormType 1 /Meta2000 2022 0 R /FormType 1 /Meta2244 2270 0 R q 0000654127 00000 n q 0000168085 00000 n 0000450019 00000 n 0000731114 00000 n 0.401 0.299 l /Type /XObject 0000655958 00000 n Q endobj BT /Resources << 0.015 w q 0000765796 00000 n /FormType 1 /Subtype /Form Q 45.249 0 0 45.413 441.9 497.609 cm q >> Q 0 0.129 m /FormType 1 ET Q Q 0 -0.003 l EMBED Equation.DSMT4 hmmmmmmm!?! /Subtype /Form /BBox [0 0 0.263 0.283] S 1 g /Meta1700 Do BT -0.002 Tc 2089 0 obj << q 0000085819 00000 n /BBox [0 0 0.263 0.283] 1 g 0.047 0.087 TD endobj Q Q /FormType 1 -0.002 Tc 0 g Q 0.458 0 0 RG W* n 0 0.283 m 0.458 0 0 RG /F1 6 0 R 0 G /Length 55 stream 0.267 0 l 0 g 0000675376 00000 n q /Subtype /Form stream q q /Matrix [1 0 0 1 0 0] 25) 8 a + 8 8 a - 8 A) 1 + a 1 - a B) a2 8 - a2 C) 8(1 + a) 1 - a D) 8 - a2 25) Add or subtract as indicated. Q 0.267 0.283 l q /Meta2002 2024 0 R Q endobj � 0 g 0000628211 00000 n endobj stream Q 0000790313 00000 n /F1 0.217 Tf [(5)19(4\))] TJ 0000537714 00000 n /Length 55 /Length 67 0000706771 00000 n /Meta2119 2141 0 R 0000081412 00000 n q /Matrix [1 0 0 1 0 0] � � �� l �� '` �� . 0 0.087 TD 0000776466 00000 n /Meta1718 Do 0000060763 00000 n 0000681600 00000 n W* n stream q endstream 0.015 w q Q 0000399310 00000 n 0.216 0.087 TD BT q Q Q >> 0000667184 00000 n 0 0.283 m Q [(2)38(46)] TJ /Meta1956 1978 0 R 0 G BT Q /Meta2068 2090 0 R /Matrix [1 0 0 1 0 0] W* n /Meta1782 Do /FormType 1 q 0000275777 00000 n Q /F1 6 0 R endobj W* n t ��0 � � � � � � � 6� � � � � �� 4� 4� 0.047 0.087 TD 2062 0 obj << q 0000170913 00000 n 1 g 0 0.283 m Q 0.458 0 0 RG >> q /BBox [0 0 0.263 0.283] /Subtype /Form /BBox [0 0 1.547 0.283] 0000619346 00000 n 32 22 24 28 xx x MULTIPLYING and DIVIDING Rational Expressions Additional Algebra topics Multiple Choice ) 1 in. 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