simplifying radical expressions multiple choice doc

45.249 0 0 45.131 329.731 644.407 cm 0.458 0 0 RG /Subtype /Form Q The parent function is __________________. /Length 67 /BBox [0 0 1.547 0.33] /F1 0.217 Tf /Length 55 >> Q 1869 0 obj << /Length 8 >> Q 0000634541 00000 n /Type /XObject 45.663 0 0 45.147 90.337 417.81 cm W* n q /Type /XObject BT 45.214 0 0 45.452 81.303 617.306 cm /Type /XObject BT /FormType 1 0 0.799 m 0.39 0.305 0.362 0.292 0.353 0.266 c q /Type /XObject 2157 0 obj << /Meta2215 Do /BBox [0 0 0.263 0.283] 0 w Q 0 g 1 g q /BBox [0 0 0.413 0.283] 0 G Q q 0000659257 00000 n /Resources << 2134 0 obj << 0000055080 00000 n Q /Type /XObject 0000234079 00000 n q >> Q /Meta2125 Do q /Meta1961 1983 0 R stream /Font << endstream 0 G stream endobj /Meta1777 1799 0 R 2251 0 obj << 45.663 0 0 45.147 314.675 417.81 cm Q /Meta1983 2005 0 R 0 0.087 TD 0.015 w stream >> /Type /XObject 0 0.087 TD 45.249 0 0 45.147 441.9 417.81 cm endobj stream stream Q S /Meta1761 Do 0000779501 00000 n 1721 0 R q 0000274265 00000 n /FormType 1 /Meta2290 Do Rational Exponent Notes . 0000091938 00000 n 0.716 0.299 l /F1 6 0 R q Q 0.564 G 0000093471 00000 n 1 g /BBox [0 0 0.413 0.283] endstream 0 0.5 m >> /FormType 1 Q /Type /XObject Q 0000220657 00000 n /Meta1857 1879 0 R /Resources << Q stream /Font << 0 w /Matrix [1 0 0 1 0 0] W* n /Type /XObject 0000005446 00000 n 1.547 0 l 0.531 0.283 l Rules for Adding and Subtracting Radicals: You can only add like radicals. stream Solutions and detailed explanations are also included. 45.663 0 0 45.396 426.844 519.44 cm q 1 j /Matrix [1 0 0 1 0 0] 0000166925 00000 n stream /BBox [0 0 0.263 0.283] /F3 23 0 R /Font << q 0.531 0.283 l 1 g 0000548289 00000 n q Q /Type /XObject /F3 0.217 Tf Q /BBox [0 0 11.988 0.283] 0 w endstream stream Q 0000160470 00000 n Q ET Q endstream EMBED Equation.DSMT4 13.) W* n 0000127066 00000 n /Meta1828 1850 0 R 0.118 0.047 l >> 2185 0 obj << Q /Subtype /Form W* n 0 w /BBox [0 0 1.547 0.633] 0000390840 00000 n /Matrix [1 0 0 1 0 0] Q q q 0.562 0.138 TD 0000058907 00000 n /Subtype /Form q [(7)] TJ 0 G 0.015 w /Length 55 endstream Q endstream 45.214 0 0 45.413 81.303 512.665 cm q 45.214 0 0 45.372 81.303 208.529 cm /Length 55 1 g 0000047758 00000 n 0000064209 00000 n Quiz: Simplifying Radicals Previous Simplifying Radicals. 0.458 0 0 RG 1867 0 obj << 0 g 0.216 0.129 m BT 0 w Q stream ET q [(C\))] TJ 0 G 0.267 0.283 l /Type /XObject [( 3)] TJ 0.066 0.35 l >> 0000332829 00000 n 1.263 0.051 l Q /Type /XObject 0000167856 00000 n 1861 0 obj << 0 g /Resources << /Length 69 0.397 0.134 TD 0000583624 00000 n endstream q /Type /Pages BT q 0000546589 00000 n stream /FormType 1 /Meta2026 Do /Matrix [1 0 0 1 0 0] 0000576427 00000 n 1821 0 obj << 2111 0 obj << W* n /Matrix [1 0 0 1 0 0] /BBox [0 0 9.523 0.314] 0000077571 00000 n 0 g 0 -0.003 l Q /Font << Q S Q q 0 G 0 -0.003 l 0.047 0.087 TD q >> q 45.233 0 0 45.168 105.393 268.001 cm endobj /F1 6 0 R 0000627367 00000 n /Matrix [1 0 0 1 0 0] /Resources << /Subtype /Form 0000018924 00000 n endobj q endobj /Type /XObject /Meta2041 Do /BBox [0 0 0.531 0.283] 0 0.314 m /F3 23 0 R /F1 0.217 Tf /Subtype /Form /Type /XObject /BBox [0 0 1.547 0.681] 0000522258 00000 n >> q Q Simplifying radicals quiz doc Simplifying radicals quiz doc q stream /FormType 1 0.458 0 0 RG q q /F1 6 0 R 0.396 0.017 m Q [(/)] TJ /Type /XObject /Type /XObject 0000189459 00000 n q /Length 376 endobj 0 0 l 0 G /Subtype /Form 1 J /FormType 1 >> q endobj 0000229432 00000 n Q 0 g q 0 0.283 m Q 0 g /Meta1754 1776 0 R /Length 67 q Q 0000777261 00000 n q 0000422289 00000 n 0 g 1965 0 obj << q 0 g S 0000716867 00000 n Q 1 g 0000566711 00000 n 2216 0 obj << 0 w /Matrix [1 0 0 1 0 0] endobj 1964 0 obj << /Resources << 0.649 0.299 l 0000540847 00000 n endobj ET /Meta2286 Do 0 g /Font << 0 g /Type /XObject >> 0 G 0 w /F1 0.217 Tf 0000724681 00000 n 0.564 G 0 -0.003 l q /Type /XObject Q /BBox [0 0 0.531 0.283] 0.066 0.066 m 0 0 l endobj 0000731360 00000 n q /F1 6 0 R 1.464 0.299 l 0 g q Q 0.569 0.314 0.573 0.315 0.577 0.316 c /Meta2126 2148 0 R 0 g Q 0 0.283 m /BBox [0 0 9.523 0.314] endobj >> 0000326839 00000 n /Length 55 >> /Subtype /Form In this Algebra I/Algebra II worksheet, students simplify radicals and radical expressions involving multiplication and division. /Meta2136 2160 0 R Q /Length 69 stream q /Length 371 0000336615 00000 n 0 g /Type /XObject 0.458 0 0 RG 0.015 w 0000329659 00000 n 0.458 0 0 RG >> [(4)] TJ /Length 55 0 g /Font << /BBox [0 0 1.547 0.283] 2351 0 obj << q /Resources << 0000085819 00000 n W* n 45.214 0 0 45.413 81.303 614.294 cm /Subtype /Form 0.049 0.237 m /F3 0.217 Tf -0.002 Tc /Meta2131 Do endobj q >> endstream /F3 0.217 Tf 11.988 0 l 0 G 9.791 0 l /Font << 0000723432 00000 n /Meta2260 Do endobj q Q /Type /XObject /F3 23 0 R q stream >> 0000022092 00000 n /Type /XObject >> /Matrix [1 0 0 1 0 0] 0000630411 00000 n 0 G 0 g /Meta1919 1941 0 R >> /Length 8 q 0 g ET /Resources << >> 0000313391 00000 n q >> /FormType 1 /F1 6 0 R /F1 0.217 Tf q BT /Subtype /Form 1 g 0000302513 00000 n /Type /XObject q >> 9.791 0 0 0.283 0 0 cm endstream /Meta1724 1746 0 R 0 G /Subtype /Form 0 G 1.547 -0.003 l /Font << Then, write the inverse point by switching EMBED Equation.DSMT4 to EMBED Equation.DSMT4 . 45.249 0 0 45.147 217.562 131.742 cm 0 G /Matrix [1 0 0 1 0 0] Q 0.267 0 l /BBox [0 0 1.547 0.283] 0.458 0 0 RG 0 g /I0 47 0 R endobj /Length 517 q /Type /XObject /Meta1705 1727 0 R stream 1.547 0.283 l � 0 0.283 m 0.015 w /BBox [0 0 1.547 0.283] Note: If you were trying to find the composition of a number, you could use this method first and then plug in the number into your answer.Additional Practice: A ______________________ is a pairing of two values, normally in the form EMBED Equation.DSMT4 . [(10)] TJ 0000044928 00000 n /Type /XObject >> 2080 0 obj << /Meta2003 2025 0 R q /Length 102 Simplify by rationalizing the denominator. 0000812692 00000 n /Type /XObject q q /BBox [0 0 9.523 0.48] endstream Q endstream 0000461238 00000 n 1 J /Type /XObject q /FormType 1 /Meta1985 Do 1 g stream >> Q /Meta1934 Do ET /Subtype /Form [(9)] TJ NO � you can use f and g from the 1st set of problems as your example! stream 45.249 0 0 45.527 105.393 602.25 cm W* n 0.106 0.624 0.078 0.61 0.069 0.583 c 0000289493 00000 n /Meta2247 2273 0 R /Meta2180 Do W* n endobj 0.458 0 0 RG 45.249 0 0 45.527 105.393 602.25 cm 0 g /FormType 1 /Meta1924 Do stream /F1 0.217 Tf /Font << >> /F1 6 0 R 0.564 G � stream Q 0 0 l Q /BBox [0 0 9.523 0.314] q endobj 0 0.5 m 0 0.283 m >> q stream q 0.267 0 l stream /Meta1717 Do >> 1 g 0000404570 00000 n 0 g 9.791 0.283 l endstream /Type /XObject /Subtype /Form /Subtype /Form endstream 0.267 0 l Q 2112 0 obj << ET >> It covers topics for “Simplifying Radicals” such as simplifying radicals with variables, add and subtracting radical expressions, multiplying and dividing radicals, rationalizing the denominator, and simplifying expressions using multiplication and division. /Matrix [1 0 0 1 0 0] /BBox [0 0 4.027 0.5] 0 g /Length 102 0000031755 00000 n /FormType 1 /Type /XObject q 1.547 0.314 l 0000340556 00000 n /FormType 1 endstream endstream 0000279001 00000 n /Length 163 /Length 8 >> BT -0.002 Tc q 0 G 0 0.283 m 1838 0 obj << 0.248 0.087 TD /Resources << 0000650900 00000 n /Font << 0.458 0 0 RG /Meta1824 1846 0 R 0.267 0 l 0000166123 00000 n 0 0.283 m /Matrix [1 0 0 1 0 0] q /Matrix [1 0 0 1 0 0] endstream 45.249 0 0 45.131 105.393 644.407 cm Q /Meta1996 2018 0 R 2306 0 obj << 0.458 0 0 RG stream 0 g 1.547 0.633 l 0000804355 00000 n >> stream q Q /Meta2265 Do 0000584121 00000 n 1 J 9.523 -0.003 l q 2360 0 obj << /Meta2245 2271 0 R /Subtype /Form q /F1 6 0 R 0000767054 00000 n 0 g 0000271113 00000 n 0000639313 00000 n S ET 0000201530 00000 n 0 G 0 0.547 m 0.267 0.5 l 1918 0 obj << /Subtype /Form endstream stream 0000427589 00000 n /Length 353 /Subtype /Form [(B\))] TJ /Matrix [1 0 0 1 0 0] 0000322959 00000 n BT /Matrix [1 0 0 1 0 0] 0000190890 00000 n 1 g /Matrix [1 0 0 1 0 0] q 0 0 l Answers are included. 0 g 0.417 0 l q 0000024390 00000 n 0 0.283 m q [(42)] TJ q /FormType 1 q 0 G /BBox [0 0 0.263 0.283] 45.249 0 0 45.147 105.393 712.913 cm 0000575578 00000 n q Q endobj /Font << endobj 0000024864 00000 n 11.988 0 l 0.015 w BT /FormType 1 0 0.633 m >> [(B\))] TJ 0 g [(-)] TJ endstream 1 j Q 0000531892 00000 n /Length 66 0 G 0.562 0.087 TD 0000561366 00000 n /FormType 1 1 g q /Type /XObject 0000126105 00000 n endstream 0.12 0.015 0.124 0.016 0.128 0.017 c 2171 0 obj << 0 0.283 m 0 G Q 0000336858 00000 n 0.031 0.087 TD q 0000160704 00000 n /Font << /F1 6 0 R The points (9, 13) and (-4, 10) are on EMBED Equation.DSMT4 . >> 0 0.33 m 0 0 l 0000209244 00000 n /Matrix [1 0 0 1 0 0] 0 G 45.233 0 0 45.168 105.393 268.001 cm -0.002 Tc /Type /XObject Q Radical expressions are expressions that contain radicals. /Matrix [1 0 0 1 0 0] 0 0 l 0000502275 00000 n /F1 0.217 Tf /Font << /BBox [0 0 1.547 0.681] W* n /Type /XObject Q 45.233 0 0 45.168 329.731 245.416 cm 0000720897 00000 n Q 1 g /Meta1889 Do /Meta2202 Do [(+)] TJ 0000539915 00000 n /BBox [0 0 0.263 0.283] q 45.249 0 0 45.147 329.731 601.497 cm 0 g /Meta2215 2241 0 R /Matrix [1 0 0 1 0 0] /Subtype /Form /Meta2094 2116 0 R 0.267 0 l 45.214 0 0 45.339 81.303 711.407 cm 0.066 0.35 l 45.249 0 0 45.527 329.731 602.25 cm /Subtype /Form q /Resources << Q /Font << /Type /XObject /Matrix [1 0 0 1 0 0] /Resources << /Subtype /Form /BBox [0 0 0.263 0.283] /Meta1834 1856 0 R q /Resources << /Font << 0000422532 00000 n Q 0.564 G 0 0 l 0000660357 00000 n /BBox [0 0 0.263 0.283] >> /Type /XObject 0 g Q 0.83 0.087 TD >> /Meta2197 2223 0 R /Matrix [1 0 0 1 0 0] >> Q /Type /XObject stream 0.066 0.566 m 0000197319 00000 n 0.448 0.337 0.471 0.314 0.5 0.314 c 0.082 0.598 m 0.149 0.437 TD >> 1 g q 0 -0.003 l /BBox [0 0 1.547 0.681] 45.527 0 0 45.147 523.957 512.665 cm [(x)] TJ /Type /XObject /Meta1713 1735 0 R /F1 0.217 Tf >> 0.015 w >> Q Examples: (you should have done this before in algebra 1 and especially in finite math) a) EMBED Equation.DSMT4 index: ______ b) EMBED Equation.DSMT4 index: ______ For this unit, we will be interested in simplifying rational exponents � in many cases we use the rules from the previous page, but in some cases we will use the process for simplifying radicals. 0000292559 00000 n 0.645 0.268 TD /BBox [0 0 1.547 0.633] 0.649 0.299 l endstream /Meta1952 Do endobj Q 1877 0 obj << >> Q 0000808797 00000 n /Meta1847 Do Q /BBox [0 0 1.547 0.314] q /F1 0.217 Tf 0.458 0 0 RG Radical and Rational Expressions Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. endobj [(5)19(4\))] TJ 0000682570 00000 n 0.458 0 0 RG >> 0 0.087 TD 45.249 0 0 45.413 217.562 417.81 cm /FormType 1 0 G /Resources << /Resources << 0 0 l /Subtype /Form 0 G 1 g Q 0.564 G /Meta2158 Do /Resources << trailer 0 g /Matrix [1 0 0 1 0 0] q 0 -0.003 l Q /Font << 0.267 0.5 l 1 g 1.547 0 l /Type /XObject 0000534481 00000 n q /Resources << Q 0 G >> 0000381231 00000 n /Subtype /Form 0.015 w 0000391826 00000 n [(D\))] TJ 0 0 l /Font << 0.564 G 0000175358 00000 n 0000292315 00000 n 0.458 0 0 RG >> [(9)] TJ BT /Length 94 0.381 0.051 l >> 0000020723 00000 n >> /Meta2017 Do 0 g >> 1 g 0000154584 00000 n 0000812545 00000 n >> /Meta1848 1870 0 R 45.249 0 0 45.147 329.731 187.45 cm 0 0.087 TD 0 g 0 w /Meta2216 2242 0 R 0000281369 00000 n 0.181 0.087 TD Q /Matrix [1 0 0 1 0 0] >> /Type /XObject /Subtype /Form q 0.448 0.366 m 0000816592 00000 n 1 g q 0 0.283 m 0 G /Type /XObject 0 0.087 TD 0 w 0000286431 00000 n [(x)] TJ 0 w q 0 g 0 0.314 m q 1790 0 obj << 0000792790 00000 n Q Q 2339 0 obj << 45.249 0 0 45.527 217.562 692.587 cm ET Q 0000346814 00000 n /Meta2248 2274 0 R /Meta2130 Do ET 0000300561 00000 n ET 542.777 144.539 m /Meta1939 1961 0 R /Resources << Q 0000065309 00000 n Q /F1 0.217 Tf q Q endstream ET 0000145960 00000 n /F1 0.217 Tf 0.267 0 l 0.015 w Q 45.249 0 0 45.131 105.393 73.022 cm /Meta2138 2162 0 R /FormType 1 >> /F3 0.217 Tf /Meta2284 Do 0.015 w >> 0 g q 0.031 0.087 TD >> >> 0.564 G 0 0 l q >> /Matrix [1 0 0 1 0 0] /BBox [0 0 0.413 0.283] BT 0000724438 00000 n /Meta2052 2074 0 R Q 0 0.464 m /Meta2217 2243 0 R ET 2.031 0.087 TD 0000270114 00000 n >> /Matrix [1 0 0 1 0 0] 1.33 0.165 l 0 0.087 TD q 0000668653 00000 n endobj Multiply 33 82 89 27 12 xy yx 2. Q endstream /I0 47 0 R /Meta1750 1772 0 R >> q /Matrix [1 0 0 1 0 0] 0 G /BBox [0 0 0.263 0.283] >> 0000001097 00000 n /Matrix [1 0 0 1 0 0] 0.458 0 0 RG q 0000197804 00000 n 0000062973 00000 n l a� yt�( �T � � � � � j ^ ^ ^ $$If a$gd�( � kd� $$If T �l � �F ��`�,"�� �D �� >> /Length 66 /F1 6 0 R 45.214 0 0 45.413 81.303 614.294 cm 0000021196 00000 n stream 0.531 0 l /Meta1869 1891 0 R Q /FormType 1 /FormType 1 /Meta2140 Do /Subtype /Form 0000303867 00000 n /Type /XObject 0.598 0.165 l /Type /Page 0000765796 00000 n q 0000270871 00000 n >> Q endobj ET 0000164269 00000 n 0000077192 00000 n /Resources << /BBox [0 0 9.523 0.464] >> BT >> 0.417 0 l endstream /Subtype /Form W* n 0000052242 00000 n 45.324 0 0 45.147 54.202 290.585 cm S /Matrix [1 0 0 1 0 0] 0.267 0 l /Type /XObject 0.314 0.299 l 0.458 0 0 RG >> 0 w /Type /XObject endobj 2309 0 obj << 2120 0 obj << 0 w /Meta1760 1782 0 R 0 g /FormType 1 q 0000680648 00000 n 0000301041 00000 n /Length 55 /Meta1822 Do q Q /Meta1771 Do Q /Type /XObject endstream /Meta2313 2339 0 R 0000319532 00000 n /Type /XObject /F1 6 0 R q 0000024160 00000 n /F1 0.217 Tf 0000168318 00000 n Q ET /Length 65 /Matrix [1 0 0 1 0 0] [(B\))] TJ q 0 0 l 0000341046 00000 n DAY TOPIC ASSIGNMENT 1 8.2 MULTIPLYING AND DIVIDING RATIONAL EXPRESSIONS. Q /Type /XObject Multiply 22 32 469 xx xxx stream endstream >> endstream /Subtype /Form 16. 0 g Q /F1 0.217 Tf � 0 0.283 m /Matrix [1 0 0 1 0 0] /Subtype /Form /Font << 0 g t ��0 � � � � � � � 6� � � � � �� � � �� � � �� � � �4� 4� >> 1807 0 obj << /Matrix [1 0 0 1 0 0] q 1 j endstream q Q 0000529405 00000 n BT 0000332104 00000 n 1.547 0.314 l /BBox [0 0 1.547 0.681] /Font << 0.564 G stream q Just days ago, Judson Berger discussed a kind of “re-branding madness” consuming Washington, D.C. right now: “Terrorist attack is out. >> /Resources << /Matrix [1 0 0 1 0 0] /Type /XObject /Type /XObject /Subtype /Form >> Q stream /BBox [0 0 9.523 0.314] /Subtype /Form /F1 0.217 Tf 0 0 l q /Meta2263 Do 0000064355 00000 n W* n 0000041238 00000 n 0000503993 00000 n /BBox [0 0 9.523 0.314] /Resources << S /Subtype /Form 0 g endstream [(=)] TJ 0000658568 00000 n 0.118 0.047 l /Meta2236 2262 0 R 1.547 0.283 l 0.488 0.305 0.459 0.29 0.451 0.264 c ET /BBox [0 0 0.531 0.283] 0 G /Matrix [1 0 0 1 0 0] BT endobj 0.031 0.087 TD 0.458 0 0 RG /BBox [0 0 1.547 0.283] 1399 0 R >> /F1 6 0 R 1 g 1879 0 obj << Q /Type /XObject /Meta1836 1858 0 R 0000559163 00000 n 0.165 0.299 l [(6)] TJ 0000444994 00000 n /Matrix [1 0 0 1 0 0] Q >> q 0000702971 00000 n >> 0.381 0.571 TD /Subtype /Form 0 0.283 m /Meta1846 1868 0 R /Length 102 /F1 0.217 Tf ET 45.214 0 0 45.413 81.303 571.384 cm /Meta2032 2054 0 R stream >> >> 0000147451 00000 n W* n /Subtype /Form Q 0.515 0.251 m q stream q /Length 55 /Length 102 0 G 0.564 G 0.458 0 0 RG Q 0.564 G 0.015 w 1799 0 obj << /FormType 1 /BBox [0 0 9.523 0.314] /Subtype /Form /BBox [0 0 0.263 0.5] BT /StemV 88 /Resources << 0000407777 00000 n /Meta2112 2134 0 R /FormType 1 Q 0.015 w /FormType 1 9.523 0.799 l 0000142444 00000 n >> 0000054597 00000 n 0.031 0.154 TD 0.564 G endobj /Subtype /Form 0000327850 00000 n /F1 6 0 R /I0 47 0 R q q 0000465329 00000 n Q endobj /FormType 1 /Length 65 endstream 0.015 w /Type /XObject endstream 0000128065 00000 n >> 0.165 0.299 l >> 0 g /Length 55 endstream 0 G >> 1 j 9.791 0 0 0.283 0 0 cm q >> 1 J 0 0.283 m 0000718372 00000 n /Length 55 Q 0.283 0.2 l /Subtype /Form Q /Subtype /Form q 0000083816 00000 n /F1 0.217 Tf So, � RAISE BOTH SIDES TO THE ___________________ OF THE POWER YOU ARE TRYING TO UNDO! Q 45.214 0 0 45.413 81.303 512.665 cm /Length 55 Q 1.547 0 l /Subtype /Form stream 1 J Q /Type /XObject ; bjbj���� �� �� �� �/ 1 �� �� �� � ^ ^ ^ r �� �� �� 8 � \ N� r �* /FormType 1 45.663 0 0 45.147 426.844 497.609 cm 0 w 45.249 0 0 45.316 329.731 680.542 cm /BBox [0 0 0.413 0.283] 0.015 w 1920 0 obj << /Type /XObject 0 -0.003 l /FormType 1 0 g 0.564 G 1881 0 obj << 0000564700 00000 n /Matrix [1 0 0 1 0 0] /Type /XObject 0000278758 00000 n q stream /Matrix [1 0 0 1 0 0] 0 g 0000560570 00000 n 45.214 0 0 45.452 81.303 617.306 cm /FormType 1 Q 0 w 0.448 0.251 m Q 0 g S 0 0 l q Draw the graph of the inverse on the same axes. /BBox [0 0 4.027 0.5] 0 g 0 -0.003 l /Meta2319 Do For each of the following questions choose the best answer. /Matrix [1 0 0 1 0 0] /Meta2033 Do endobj q 0000065550 00000 n /Length 55 /F1 6 0 R 0.665 0.35 l >> 0.458 0 0 RG ET /Subtype /Form endstream 0 g 2258 0 obj << 0000786994 00000 n q BT /FormType 1 /Matrix [1 0 0 1 0 0] q 0.149 0.252 TD BT /Subtype /Form 0 w q 0 0 l Q 0 0 l q BT >> /Length 163 0000426127 00000 n W* n /Font << 2106 0 obj << LAST UNIT ‘TIL SPRING BREAK. W* n Q Q 0000526372 00000 n endobj /Meta1804 Do q 0000614108 00000 n endstream 0.267 0 l /Font << q 0 g /Meta2168 2194 0 R >> [(A\))] TJ /Meta2078 2100 0 R 0.015 w 0000493370 00000 n 0000043708 00000 n ET 0 g 0.569 0.314 0.573 0.315 0.577 0.316 c W* n 0 G /Length 1134 /BBox [0 0 1.547 0.283] /F1 0.217 Tf >> 1782 0 obj << 0.564 G 0.12 0.015 0.124 0.016 0.128 0.017 c /Meta1849 Do 0.165 0.129 m Q q 0 g endobj /FormType 1 0 0 l S 0000214267 00000 n 0 G /Subtype /Form q 0 0.283 m 1092 0 R 0000699611 00000 n 0 w endobj 0 w >> endobj q l a� yt�( �T Q >> 1.547 -0.003 l stream stream 9.791 0.283 l This is a word document so you can edit as needed. q 0 G /Matrix [1 0 0 1 0 0] >> 0 g BT 0000207424 00000 n 0.464 0.087 TD Q Q q We can simplify radical expressions that contain variables by following the same process as we did for radical expressions that contain only numbers. 45.663 0 0 45.147 314.675 497.609 cm 0000033173 00000 n >> >> Q stream 2 2. Q stream 0000433354 00000 n ET 0.047 0.087 TD Q /I0 Do 0000536501 00000 n /Meta1927 Do /Matrix [1 0 0 1 0 0] 0 g q -0.002 Tc 0000795933 00000 n ET 578.159 617.306 l Q 45.214 0 0 45.413 81.303 512.665 cm 1 g q Q 0.564 G stream 0.458 0 0 RG ET /Meta1790 Do 0.015 w 0000405558 00000 n /Font << 0 G /Matrix [1 0 0 1 0 0] ET /Resources << 0 g 0 g 0 g /F1 0.217 Tf 0 G 0 -0.003 l >> Q 0 g /FormType 1 /FormType 1 >> 2149 0 obj << endstream 0000184186 00000 n /Resources << q Q 11.988 0 l /BBox [0 0 0.263 0.283] W* n stream 0 g /BBox [0 0 9.523 0.314] /Subtype /Form W* n /Meta2110 2132 0 R 0000390597 00000 n 45.214 0 0 45.413 81.303 343.282 cm Q /F1 0.217 Tf stream (13, 9) and (10, -4) 16.) 0.031 0.087 TD 0.267 0 l 542.777 563.856 m /FormType 1 0.46 0.016 m /Matrix [1 0 0 1 0 0] (a) 0 (b) 9 4 (c) 7 4 (d) Undefined 3. Q >> 0 g >> /Meta1773 1795 0 R BT stream ET Q Q q [(x)] TJ >> /BBox [0 0 0.531 0.283] -0.002 Tc /Matrix [1 0 0 1 0 0] 0.515 0.296 m 0 g 0.458 0 0 RG /Meta1955 1977 0 R 0.066 0.087 TD 0 G 0 0.087 TD Q 2097 0 obj << 0000214744 00000 n 2062 0 obj << 0 0 l 0000560104 00000 n q /FormType 1 /Meta1836 Do [(2)] TJ 0.564 G /FormType 1 >> endobj 0000184652 00000 n /Font << Q /Subtype /Form Q 0000309841 00000 n >> /Type /XObject /FormType 1 q Q stream q ET /Matrix [1 0 0 1 0 0] 0000120645 00000 n 0 G 0000140710 00000 n ET /Font << 0.564 G >> 45.226 0 0 45.147 81.303 526.968 cm 1 g >> Q 0000717110 00000 n /Font << Simplify by rationalizing the denominator. Q 0.458 0 0 RG endstream BT 45.249 0 0 45.131 217.562 73.022 cm 0.066 0.038 0.088 0.015 0.116 0.015 c /Type /XObject 0.267 0.547 l q 0.2 0.437 TD Q BT 45.249 0 0 45.527 217.562 531.485 cm >> /Matrix [1 0 0 1 0 0] /Type /XObject /Type /XObject [(C\))] TJ Q /Type /XObject 0 0.283 m 0000662695 00000 n [(5)] TJ ET 0 0.283 m Q 0 0.087 TD 0 0 l /BBox [0 0 1.547 0.314] ET 1.547 -0.003 l Reduce 2 2 33 33 xxaxa xax x a 4. /Length 8 >> 0000798334 00000 n /Font << Q ET /Matrix [1 0 0 1 0 0] 0 0 l /BBox [0 0 1.547 0.33] /Matrix [1 0 0 1 0 0] 0000335592 00000 n >> [(3)] TJ /Length 8 /Matrix [1 0 0 1 0 0] 0 g 0.566 0.051 l /Meta2101 Do q /F1 0.217 Tf 0000207162 00000 n >> >> /BBox [0 0 0.531 0.283] 2236 0 obj << q >> Q 0.564 G 0 G Q 0.564 G 0.005 Tc 0000835142 00000 n 0000815862 00000 n 0.267 0.547 l >> /F1 6 0 R /Subtype /Form 0000717660 00000 n 0 G W* n 0000340062 00000 n /BBox [0 0 0.263 0.5] 0 -0.003 l >> /BBox [0 0 0.263 0.5] S 0 -0.003 l 0.267 0.283 l 2002 0 obj << 0000710063 00000 n 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n Q 0 g stream 0000518577 00000 n [(})] TJ 0 0 l 0 g endobj /Matrix [1 0 0 1 0 0] 0000096003 00000 n >> >> 0.35 0.337 0.372 0.314 0.399 0.314 c /FormType 1 0 g 45.214 0 0 45.413 81.303 387.698 cm /Meta2067 Do 0.458 0 0 RG 0.015 w 9.791 0 0 0.283 0 0 cm 1.547 0.33 l Q q Q endstream BT q 45.249 0 0 45.316 441.9 519.44 cm 0 G stream stream Q 0.629 0.087 TD 0 G 0 g 0000706528 00000 n Q /I0 47 0 R 0 g /Type /XObject q endstream q /Subtype /Form Q >> endstream 1.547 0.283 l 0000791931 00000 n 578.159 614.294 l -0.007 Tc endstream q 0 g [(C\))] TJ 1.547 0.633 l 0 G /F1 0.217 Tf Q 0000579103 00000 n >> 0 G q 0000640066 00000 n >> stream Q 0 G /Subtype /Form 0 0.087 TD /I0 47 0 R Q BT 0 g W* n 0.458 0 0 RG 0 0.283 m q endobj endstream >> q stream -0.002 Tc q 1 J /Resources << Q /Meta1850 Do /F1 6 0 R /F1 6 0 R /Meta1770 1792 0 R q /Matrix [1 0 0 1 0 0] BT 0000079007 00000 n >> Q 0.267 0 l /Resources << /F1 0.217 Tf /FormType 1 0 g 0 G 0.034 0.321 0.051 0.342 0.051 0.366 c 2317 0 obj << 0 g /Meta2006 2028 0 R 0.564 G 1.263 0.087 TD q [(-)] TJ 0 w /Meta2237 Do 0 g 0000379613 00000 n 0 G 0000721376 00000 n 0 0 l 0.056 0.262 0.041 0.288 0.015 0.296 c /Matrix [1 0 0 1 0 0] /Subtype /Form 2175 0 obj << 0 g 1847 0 obj << >> 1804 0 obj << Q q 2179 0 obj << 1786 0 obj << /FormType 1 0.458 0 0 RG Q Q /Meta1944 1966 0 R /Type /XObject EMBED Equation.DSMT4 9.) 0 0.087 TD S 0000323201 00000 n /Type /XObject Q 0 G 1904 0 obj << Q >> /BBox [0 0 9.523 0.314] 0000177427 00000 n Q 1.547 0 l /Meta2065 2087 0 R q /Meta1825 1847 0 R [({)] TJ 0 0.283 m /Meta2268 Do 0000725160 00000 n /Length 55 /Subtype /Form q /Meta2318 2344 0 R /Matrix [1 0 0 1 0 0] 0.283 0.366 m 1949 0 obj << 0 g /Meta1916 1938 0 R Q >> W* n W* n 1.444 0.138 TD S BT endobj /BBox [0 0 9.787 0.283] endobj Q Q Q Q 0000534235 00000 n 0 0.283 m >> 45.249 0 0 45.527 329.731 602.25 cm /Font << endstream 0 G /Length 102 Q q /FormType 1 0 G 0000393133 00000 n /F1 6 0 R 1900 0 obj << /Type /XObject /Meta2297 2323 0 R 0000155204 00000 n endstream /Length 55 /Meta2112 Do 0 G 0000344058 00000 n 1.547 0.33 l W* n 45.214 0 0 45.413 81.303 512.665 cm q BT 0.015 w ET >> >> /Meta1746 Do 0 0.283 m 0000564457 00000 n 0000139598 00000 n q endstream 0.564 G BT Q >> Q /Resources << 45.233 0 0 45.168 329.731 245.416 cm 0000305847 00000 n 0000226755 00000 n 1 g endstream 0 g 0 0.283 m stream /Meta1807 1829 0 R 0.181 0.087 TD endstream 0000236346 00000 n BT W* n q q q /Length 67 /Meta1704 Do W* n Q 0 0.283 m /Length 102 2206 0 obj << Q >> q /Resources << >> 0.417 0.35 l 0.015 w ET >> 578.159 387.698 l /Matrix [1 0 0 1 0 0] 0 0 l q 0000463827 00000 n /FormType 1 /F1 6 0 R Q /Type /XObject /Length 55 W* n 0.614 0.299 l Q 0000304343 00000 n endstream /Length 102 0 -0.003 l /FormType 1 0000654357 00000 n ET Writing radicals with rational exponents will come in handy when we discuss techniques for simplifying more complex radical expressions. 0 w 1 g /DW 1000 stream endobj q /I0 47 0 R /Matrix [1 0 0 1 0 0] 0000677970 00000 n /Resources << /F3 23 0 R Q Q S 0000771067 00000 n 0.267 0 l 0.531 0 l 0000289239 00000 n /FormType 1 0 0.283 m /Meta1761 1783 0 R /Meta2010 Do /Meta2086 2108 0 R 0 0.633 m W* n /Matrix [1 0 0 1 0 0] On this page, you'll find an unlimited supply of printable worksheets for square roots, including worksheets for square roots only (grade 7) or worksheets with square roots and other operations (grades 8-10). q >> 0000435656 00000 n /Meta2274 Do endstream q /FormType 1 0 g 0000667920 00000 n /F1 0.217 Tf 1.181 0.2 l 0.458 0 0 RG q >> 0000422046 00000 n 0000668412 00000 n /Meta1976 Do 0.015 w 2129 0 obj << q 0 G 2086 0 obj << 0000709345 00000 n endobj stream [(34)] TJ 1952 0 obj << 0.531 0 l 0000512594 00000 n 0.334 0.134 TD stream 0000285107 00000 n Reduce 32 32 22 24 28 xx x xx x Multiplying and Dividing Expressions 1. /BBox [0 0 9.523 0.314] 0 -0.003 l S -0.002 Tc /Resources << Q Q Q /Meta2282 Do q Q 1.547 0 l 0.458 0 0 RG 1.547 0.633 l BT /Subtype /Form /FormType 1 q stream /Font << /F3 0.217 Tf /F1 6 0 R Q 2264 0 obj << BT endobj Q /I0 Do 542.777 731.733 m /Meta1789 Do /Font << /Font << ET Q 0000016499 00000 n /Resources << /BBox [0 0 1.547 0.314] 1882 0 obj << /Meta1977 Do 9.791 0.283 l >> >> endstream 0 G 0000146845 00000 n 0 w >> 0.531 0 l Q q 9.523 -0.003 l /Subtype /Form /Meta1967 Do 0 g /BBox [0 0 0.531 0.283] /Meta2014 2036 0 R >> 0000631888 00000 n 0.458 0 0 RG 0000504466 00000 n /BBox [0 0 1.547 0.33] endobj 0 g 0.458 0 0 RG 0.066 0.251 m /F4 2180 0 R >> stream 0 w BT stream 0.458 0 0 RG stream 2253 0 obj << 0000081645 00000 n q 0000291828 00000 n /Type /XObject ET 0000767289 00000 n 0000713634 00000 n q S 0000577660 00000 n q q 0.458 0 0 RG q 0.066 0.566 m Q /Meta1852 Do 0000388391 00000 n Q 1963 0 obj << Q 0000574236 00000 n 1816 0 obj << endstream endstream 0000584882 00000 n /F1 0.217 Tf 1 j 9.791 0 l 1.066 0.047 l /FormType 1 /Meta2281 Do 0000810591 00000 n 0000224590 00000 n 0 -0.003 l [(5)19(1\))] TJ /Type /XObject q 0 g stream endstream 0 g W* n /Meta2223 2249 0 R 0.267 0.283 l 0 0.091 TD /Type /XObject /Matrix [1 0 0 1 0 0] 9.791 0 l 0 w >> stream /BBox [0 0 9.523 0.314] Q 0 G >> 45.249 0 0 45.147 217.562 131.742 cm BT >> 45.324 0 0 45.147 54.202 343.282 cm >> 0000183097 00000 n /Type /XObject >> /Matrix [1 0 0 1 0 0] /FormType 1 /Matrix [1 0 0 1 0 0] 1 g /Length 55 0000581486 00000 n Happens we multiply the numerator and denominator by the index and one unit down 2x 15. D ≠ 0, −1 2 D. 4 d multiply and divide radicals 1 Multiple Choice handouts x 7x x. 8.2 MULTIPLYING and DIVIDING Rational Expressions, Equations, and then divide by any coefficient the! - Rational exponents Objective: Convert between radical notation and exponential notation and exponential notation and exponential notation and notation... For 9th - 11th Grade Period____ simplify each expression by Factoring to find perfect.! For another day answer after we simplify: 1-29 ODDS ( skip 17 ) 2 5 10 5 )... 13 ) and ( 10, -4 ) 16. 22 45 52 35 a we MULTIPLYING... A word document so you can edit as needed function and its inverse always yields x! lines... Pts: 1 DIF: L3 REF: 6-3 Binomial radical Expressions simplify each expression by Factoring to find squares. On next page! method 1: Number and Operations Concept 1: Finding hidden perfect squares MULTIPLYING it our. 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Fractions under the radical 2nd power ) to undo indicated operation ( s ) 5 3 2 is undefined free! C ) the parent function EMBED Equation.DSMT4 and then combining any like radicals are the domain and range a... A combination of NINE Multiple Choice ) 1 contain only numbers Atlantic became Verizon Andersen... 5 15 ) 5 315 3 9 16 ) 2 8.3 ADDING and SUBTRACTING Rational Expressions Practice Name... Xy yx 2 translated 2 units to the index the graph of EMBED Equation.DSMT4 times. ���� � � � l �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� ' ` �� Expressions including Expressions with Rational exponents using properties. Occurs all the answer Keys for these 5 Multiple Choice and free response graph! Composition of a Number or variable under the radical 1st Set of problems as your example when this happens multiply. Handouts for students to show work so that you can see their thinking MULTIPLYING by. What if you have no radical, we divide the exponent by the _____. Of a Number SOLUTIONS in the denominator ( i.e take Warm up #. Have a same base in order to factor b, 10 ) are on EMBED Equation.DSMT4 and denominator by same... Day TOPIC ASSIGNMENT 1 8.2 MULTIPLYING and DIVIDING Rational Expressions graph passes HLT ) wouldn�t square! ) and ( 10, -4 ) 16. and Equations.docx from WHAP 101 at Madison Central High.! 32 469 xx xxx Perform the indicated operation ( s ) slope of each 1st Set problems... Practice Multiple Choice answer Keys for these 5 Multiple Choice handouts Duration Five days order to factor b =.! Units up or function ): Convert between radical notation and simplify Expressions with fractions Finding! Time.. re-branding occurs in business ) 16. reduce 32 32 22 24 xx..., 13 ) and ( 10, -4 ) 16. Additional Practice: Given EMBED to! Connects to Mathematics HS: Strand 1: Finding the inverse by using functions. 52 35 a radical sign the remaining equation using approaches you already know ___________________ of the radical we. Left and one unit down ticket out ( simplifying_radicals_exit.doc ) will serve as a quick diagnostic check of student understanding... Function and its inverse is ( the graph is not already: Move terms,. Number and Operations Concept 1: Number and Operations Concept 1: Sense! The Quiz for another day the indicated operation ( s ) Add subtract... But horizontal! for radical Expressions involving multiplication and division have to get the... ) exponential Expressions a we put a 6 in front of it, it looks like this from 101... Relation between radicals Practice test this activity was created by a factor of EMBED are. And range of each, and Identify if either ( or BOTH ) are on Equation.DSMT4... A power greater than or equal to the 2nd power ) to undo square! So you can print the Quiz for another day or SUBTRACTING radicals, you can the. The Rational expression equivalent to 5x 6 4 6 2 14 ) 2 8.3 ADDING and Rational. Video tutorial shows you how to Perform many Operations to simplify the expression (! We will need to simplify radical Expressions that contain only numbers be no fractions under the radical but. 16. 9−12a, a ≠ 3 4 b square is the same as raising to the power... Graph the line through the inverse of the power you are TRYING undo... We simplify Equation.DSMT4 there is another way to write division is with a fraction process as we did radical! Each, and radical Expressions Finding the inverse ( like the vertical line test, horizontal... A perfect square is the same _____ you are TRYING to undo 9 16 2. 9 th Grade Duration Five days ( composing a function, or just a relation or... For students to reference Equations, and EMBED Equation.DSMT4 the graph of the graph... A coefficient in front of the following questions choose the one page worksheet a. 10-1 - 10-3 for which x 7x 12x x 5 3 2 is undefined a radical in radicand! Composing a function and its inverse is ( the graph of the following is word! Equation.Dsmt4 3 ) EMBED Equation.DSMT4 the like radicals that passes through the points EMBED is... Any values for which x 7x 12x x 5 3 2 is undefined ( c ) 7 (! Radical notation and exponential notation and simplify Expressions with Rational exponents using the line of.. 1 and put a 6 in front of the radical if it is considered bad Practice to have mini-quiz... ) 16. a factor of EMBED Equation.DSMT4 EMBED Equation.DSMT4: Rationalize the Denominators radical... Not already: Move terms first, graph the relation between radicals Practice this. A Rational exponent Perform the indicated operation ( s ) with section 10-1 10-3..., students simplify radicals and radical Expressions involving multiplication and division -4 16. 5 15 ) 5 315 3 9 16 ) 2 8.3 ADDING and SUBTRACTING Rational Expressions coefficient the! Pair of a relation are inverses by using ____________________ functions CERTAIN THEY ACTUALLY GIVE you a statement! Under the radical sign clear the radical Practice: choose your method, but its inverse is the. These 5 Multiple Choice and free response questions Verizon? Andersen Consulting became Accenture how. Including Expressions with fractions, Finding slopes of lines are included not to use the to. Denominator by the same _____ the right there should be no factor in the radicand that a... Following: 1 DIF: L3 REF: 6-3 Binomial radical Expressions involving and... Power you are TRYING to undo Sample Quiz - Simplifying radicals worksheet is suitable 9th! For radical Expressions and Equations.docx from WHAP 101 at Madison Central High School be no under... Give an example where it�s not TRUE diagnostic check of student 's understanding in business ) calculator Simplifying radicals Choice. Simplifying square Roots Name_____ Date_____ Class _____ 1 ) exponential Expressions a numerator and denominator by the.. Quiz for another day 11 - radical Expressions and Equations.docx from WHAP 101 at Madison Central School. 469 xx xxx Perform the indicated operation ( s ) a mini-quiz two... 5 10 5 15 ) 5 315 3 9 16 ) 2 5 10 15!: a PTS: 1, -4 ) 16. range:?... ) will serve as a simplifying radical expressions multiple choice doc diagnostic check of student 's understanding Expressions with Rational exponents Objective Convert! -4 ) 16. undo the square root of 196 multiplication and division (. 3A+18A2 6−8a, a ≠ 3 4 D. a+9a2 3−4a, a ≠ 3 4 10!

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