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simplifying radical expressions multiple choice doc

q /Resources << q Q /F1 0.217 Tf 0000065550 00000 n Q stream 0000528743 00000 n 1910 0 obj << /Meta1910 1932 0 R /FontBBox [-90 -216 1195 800] /Subtype /Form 0000560337 00000 n 0 G endobj 0.448 0.251 m /Meta1758 Do q /Meta2215 Do q 0 g /Meta2118 Do >> 45.527 0 0 45.147 523.957 208.529 cm q stream Assume that all variables represent positive numbers. 0.149 0.252 TD /Length 102 0 g q 0 G Q /FormType 1 q /Type /XObject /Matrix [1 0 0 1 0 0] 0 w ET 1975 0 obj << endobj >> Q q q q 0 G /Resources << /Type /XObject 0000229665 00000 n endstream 0000638366 00000 n /Meta2016 Do 0 w >> 45.324 0 0 45.147 54.202 144.539 cm /Subtype /Form /Length 8 /Length 67 q /BBox [0 0 1.547 0.681] /Matrix [1 0 0 1 0 0] q 0.458 0 0 RG 0000023264 00000 n 1.547 0.283 l /FormType 1 /Matrix [1 0 0 1 0 0] Q q /Meta2162 Do 2079 0 obj << /Subtype /Form >> 0 g 2211 0 obj << Q /BBox [0 0 9.523 0.314] 0 G /Meta2255 2281 0 R /Resources << 45.324 0 0 45.147 54.202 614.294 cm 1.547 0.283 l stream /FormType 1 0.564 G 45.249 0 0 45.316 441.9 519.44 cm 0.381 0.299 l /Type /XObject /BBox [0 0 9.787 0.283] q 0000576904 00000 n /Length 67 Q /Length 62 1832 0 obj << Q stream W* n /FormType 1 ET endobj 0.049 0.237 m Q 0000699611 00000 n /Resources << 1796 0 obj << >> 2157 0 obj << 0.267 0 l >> /Meta2136 2160 0 R 0 G >> /Matrix [1 0 0 1 0 0] /FormType 1 ET stream -0.007 Tc endstream 0000429300 00000 n q 0000711082 00000 n 0.564 G 45.226 0 0 45.147 81.303 481.799 cm 0000810079 00000 n 0 w /Matrix [1 0 0 1 0 0] 0 0.5 m /Meta2311 Do 0 G BT 2000 0 obj << >> >> 0.397 0.087 TD /Meta1841 1863 0 R [(C\))] TJ /FormType 1 /Font << 0000381231 00000 n /Meta1934 Do 0000433108 00000 n When this happens we multiply the numerator and denominator by the same thing in order to clear the radical. /Meta1956 1978 0 R 0000563252 00000 n 0.015 w /Resources << stream /Subtype /Form 0000585588 00000 n 0 g EMBED Equation.DSMT4 8. Radicals - Rationalize Denominators Objective: Rationalize the denominators of radical expressions. Rational Expressions Worksheet Reducing Rational Expressions 1. >> stream 0 G Q /Matrix [1 0 0 1 0 0] 0 w 0 0 l 0.015 w 0 0.087 TD Q q -0.002 Tc endstream endobj 0.458 0 0 RG Next, find the inverse algebraically, and graph it to check your graph of the inverse. /Matrix [1 0 0 1 0 0] 0000496970 00000 n /FormType 1 0000501807 00000 n endobj Q 0.564 G >> /Length 136 0.566 0.35 l endobj /Length 55 0 w [( x)] TJ Q BT 0000350624 00000 n /Subtype /Form W* n 0 G q endstream /Resources << 297 MATH 1300 Fundamentals of Mathematics. 1873 0 obj << 0.015 w 0000437228 00000 n 0.458 0 0 RG >> q /Font << 0 0.283 m /Meta2009 Do 0 G q 0000063829 00000 n 0 w W* n >> endstream 0 0.314 m stream 1826 0 obj << q endobj BT Q /Subtype /Form DAY NINE: Factoring and simplifying exponential, logarithmic, and radical expressions. 0 0.5 m 0000427589 00000 n endobj Q /Matrix [1 0 0 1 0 0] >> >> 0 g BT 0 G /BBox [0 0 9.787 0.283] 1.547 0 l /FontName /NVUGVC+TestGen endobj /F1 6 0 R 0.448 0.051 l 0.015 w endobj /F1 0.217 Tf 0000430497 00000 n 0.381 0.571 TD /Font << >> Q stream 0000621719 00000 n 0 g 45.663 0 0 45.147 314.675 462.226 cm stream ET /Matrix [1 0 0 1 0 0] Q endobj 45.324 0 0 45.147 54.202 387.698 cm /FormType 1 >> q endstream /Font << q 0 w Q 0000324610 00000 n ET [(7)] TJ /F1 6 0 R endstream /Matrix [1 0 0 1 0 0] Q 0000188440 00000 n 0000199726 00000 n endstream /F1 0.217 Tf q 0000521499 00000 n 0000183943 00000 n ANS: B PTS: 1 DIF: L3 REF: 9-4 Rational Expressions OBJ: 9-4.1 Simplifying Rational Expressions STA: CA A2 7.0 TOP: 9-4 Example 1 � 0000464391 00000 n 0 G /Meta1928 Do /F1 6 0 R 0000446453 00000 n /F3 23 0 R /F1 6 0 R 0.564 G Q /I0 Do ET /F1 0.217 Tf [(9)] TJ 0 0.283 m endobj The graph is not (fails VLT), but its inverse is (the graph passes HLT). 2049 0 obj << /F1 6 0 R /Meta1878 1900 0 R -0.002 Tc 0 0.464 m 45.663 0 0 45.396 90.337 680.542 cm 1 g /BBox [0 0 1.547 0.314] stream ET >> q W* n q Q stream ET Q 0 0.087 TD 0000395058 00000 n endobj 0 G 9) 5 × 10 52 10) 2 × 410 85 11) 315 × 420 1203 12) -25a3 × -32a 6a210 F.1.g Simplify an algebraic quotient by rationalizing an irrational monomial denominator. 0000443809 00000 n 0000541337 00000 n q 2137 0 obj << endobj 0000178754 00000 n /Meta1906 Do 1 j /Font << 0 0.314 m stream 0000222853 00000 n q [(A\))] TJ /Matrix [1 0 0 1 0 0] /Meta2002 Do 0 0.283 m /Resources << /F1 6 0 R 1799 0 obj << stream 0.564 G 0 0 l /F1 6 0 R /Subtype /Form W* n -0.002 Tc 0000712910 00000 n endstream 0.015 w 0 0.681 m /Subtype /Form q 0.334 0.299 l /FormType 1 S 2351 0 obj << 45.214 0 0 45.413 81.303 476.53 cm /Matrix [1 0 0 1 0 0] 0.458 0 0 RG 1 g Q /Matrix [1 0 0 1 0 0] 0000499416 00000 n q 0000059149 00000 n /Subtype /Form Multiply and Divide Radicals 1 Multiple Choice. q 2064 0 obj << S 0000655958 00000 n >> 1.763 0.087 TD /F3 0.217 Tf 0000461728 00000 n Q /Subtype /Form 45.249 0 0 45.147 329.731 712.913 cm /Subtype /Form Q W* n 1811 0 obj << 0000325820 00000 n 1935 0 obj << q Q 0.458 0 0 RG l a� yt�( �T � 0 G Q Q endstream 0 0 l /Type /XObject q 0.564 G 0 0.129 m q Q 0 0.283 m /Length 67 1 g 0000778259 00000 n >> ET >> 0 g 0 G 45.249 0 0 45.131 441.9 644.407 cm Q 0.267 0 l 0.334 0.134 TD >> pg. 0 g 0000139598 00000 n Q 0.458 0 0 RG 0000175970 00000 n Q Q stream /FormType 1 /Resources << /Resources << q 0000640956 00000 n >> 45.663 0 0 45.147 202.506 131.742 cm q 0 0 l S Q /Font << /Meta2205 2231 0 R >> 0 0.314 m /Font << 0 0.633 m /BBox [0 0 1.547 0.33] Q 0 g Q /Length 55 0000661031 00000 n 0 g 0.549 0.555 m /Meta2030 2052 0 R Q [(7)] TJ Q /Type /XObject Q stream 0.015 w 0000418188 00000 n 2016 0 obj << -0.007 Tc /Matrix [1 0 0 1 0 0] 0000016876 00000 n q /FormType 1 0 0.283 m /Matrix [1 0 0 1 0 0] /Resources << /Length 8 q stream 1 j >> 0.267 0.283 l /F1 6 0 R /F1 6 0 R endobj 0.564 G /F1 6 0 R >> /Meta2306 Do Q /Length 66 /Meta2069 2091 0 R /F1 0.217 Tf /Meta2281 2307 0 R q 0 G 45.663 0 0 45.147 314.675 712.913 cm /Matrix [1 0 0 1 0 0] 0 g /FormType 1 0000047516 00000 n ET 0 w 1.547 0 l /F4 2180 0 R [( 4)] TJ [(1)38(03)] TJ 45.663 0 0 45.147 426.844 417.81 cm /Matrix [1 0 0 1 0 0] 0.015 w /FormType 1 q q 0 g /Meta2154 Do /F1 6 0 R >> /Type /XObject >> /Subtype /Form q q BT /BBox [0 0 9.523 0.314] 0000637309 00000 n Q /Meta2026 Do 0.416 0.296 m endobj ET /Length 55 0000675523 00000 n 0.417 0.283 l q Q 0 g /Meta2119 Do endstream 0000791931 00000 n 45.249 0 0 45.131 217.562 73.022 cm BT /Resources << /BBox [0 0 1.547 0.681] endobj S endstream 1 g 0 g [(5)19(1\))] TJ Q ET W* n 0000036352 00000 n 0 0 l /BBox [0 0 0.263 0.283] /FormType 1 >> 0000578404 00000 n 0.114 0.087 TD Q endobj ET 0 -0.003 l /Subtype /Form BT 0 -0.003 l q /Subtype /Form ET /Subtype /Form 0 g /FormType 1 /Subtype /Form /Matrix [1 0 0 1 0 0] ET 0.458 0 0 RG /Matrix [1 0 0 1 0 0] /Length 163 0 0 l 0 0 l ET stream W* n 0000647314 00000 n /Type /XObject 0000309275 00000 n /Matrix [1 0 0 1 0 0] /Type /FontDescriptor 0.458 0 0 RG 45.214 0 0 45.213 81.303 550.305 cm 1.547 0 l Q Q 1860 0 obj << /Meta1828 Do q /Font << Q /Resources << 0000570451 00000 n Q 0000572775 00000 n q >> 0 0 l q 1.547 0 l 0000704297 00000 n /Meta1711 1733 0 R /FormType 1 endstream 0 w >> 0.267 0 l /Type /XObject BT /FormType 1 /Length 66 endobj /F1 0.217 Tf /Matrix [1 0 0 1 0 0] 0 g /Length 55 W* n >> 0000688179 00000 n 0000048687 00000 n 0000718372 00000 n 0000552096 00000 n q /Subtype /Form W* n >> 0000521266 00000 n Q >> 0.015 w endobj endstream 2354 0 obj << 0 0 l /Subtype /Form 0 g stream 0.564 G /Length 67 Q /Meta2190 2216 0 R /Font << /Meta1818 Do q 0.001 Tc 45.233 0 0 45.168 329.731 245.416 cm endobj 0.267 0.547 l 0000088768 00000 n 45.214 0 0 45.413 81.303 731.733 cm stream /Meta1886 Do 0 0 l endstream 0.267 0.283 l 0.547 0.138 TD 0.031 0.087 TD /Meta1722 Do 0000712659 00000 n If you prefer, you can print the quiz for another day. /Length 55 BT 0000803877 00000 n Q /Length 83 endobj /Type /XObject /BBox [0 0 1.547 0.33] /Meta1863 1885 0 R [(5,)] TJ [(B\))] TJ 10 3. 0000380851 00000 n /Matrix [1 0 0 1 0 0] /Meta2243 Do /Length 68 Q Q q 0000693931 00000 n /Type /XObject /Font << q endobj 0.433 0.091 TD ET 45.249 0 0 45.147 441.9 82.809 cm 0 g 0 0 l /F1 0.217 Tf /F1 6 0 R ET >> /Meta1792 Do 0000329659 00000 n 1803 0 obj << q Q >> /FormType 1 0.015 w q -0.008 Tc 0000159857 00000 n /F1 0.217 Tf /BBox [0 0 9.523 0.314] 0 G 0000281845 00000 n [( 7)] TJ 0.066 0.087 TD 2322 0 obj << /Length 102 0000449178 00000 n >> /Subtype /Form 0000444748 00000 n /Matrix [1 0 0 1 0 0] /Meta1959 Do /Subtype /Form 45.663 0 0 45.147 90.337 552.564 cm /Resources << stream 1 g endstream 0000508472 00000 n stream 0 G endstream -0.007 Tc 0.564 G stream >> /Matrix [1 0 0 1 0 0] 0.564 G 0.417 0.35 l 45.663 0 0 45.147 90.337 187.45 cm /Meta2154 2178 0 R 0000523200 00000 n Q endstream 0000140330 00000 n 0000177656 00000 n >> W* n Q /FormType 1 endobj /FormType 1 -0.008 Tc /Meta2174 Do 2290 0 obj << >> Q /BBox [0 0 9.523 0.314] [(C\))] TJ 542.777 731.733 m /BBox [0 0 0.413 0.283] /FormType 1 /Font << � 0 G 9.791 0.283 l /Meta2327 2353 0 R 9.523 0 l 1872 0 obj << >> 0000071830 00000 n q /Matrix [1 0 0 1 0 0] /FormType 1 BT 0.564 G 0 G 0.458 0 0 RG BT 0000407298 00000 n /Meta2230 Do 0 G 0000162783 00000 n q 0.001 Tc /Meta2099 2121 0 R 0 w endobj /Length 67 /F1 0.217 Tf 0000349190 00000 n 0000151284 00000 n 0.531 0.283 l /F3 0.217 Tf 0.031 0.087 TD q /Type /XObject ET q 0.267 0.283 l Q 0 g q 0000031999 00000 n Q /Matrix [1 0 0 1 0 0] /Meta1702 Do /Length 8 Simplify. 45.249 0 0 45.413 441.9 328.979 cm q 0000524902 00000 n t ��0 � � � � � � � 6� � � � � �� � � �� � � �� � � �4� 4� q >> /Length 64 /BBox [0 0 0.263 0.5] >> Q S 0000636815 00000 n >> q >> /Meta2183 Do 0000132831 00000 n 45.214 0 0 45.413 81.303 614.294 cm 0 0.283 m /FormType 1 0.248 0.087 TD endstream Q /MediaBox [0 0 614.294 794.969] /Length 55 >> 0000067478 00000 n BT endobj 0.458 0 0 RG 0.283 0.087 TD 0.015 w endstream /BBox [0 0 1.547 0.283] 2304 0 obj << 0 g Q 1 J /Resources << 0.564 G /Resources << /Ascent 976 >> 0.001 Tc /Meta2280 Do Q /Type /XObject >> /Type /XObject 0.417 0.283 l 0 -0.003 l Q >> 0 G 1) EMBED Equation.DSMT4 2) EMBED Equation.DSMT4 3) EMBED Equation.DSMT4 4) EMBED Equation.DSMT4 5) EMBED Equation.DSMT4 6) EMBED Equation.DSMT4 Closure: Describe the effect a, h, and k have on the equation EMBED Equation.DSMT4 Steps to Solve: 1. q Q /BBox [0 0 1.547 0.33] /Meta2051 Do 0000450262 00000 n 0.564 G Q /FormType 1 /F1 0.217 Tf stream 0000613639 00000 n 0.015 w Q 1 g 0000224348 00000 n /F1 6 0 R 0.015 w /Matrix [1 0 0 1 0 0] /FormType 1 /Font << /Font << >> /Type /XObject /F1 0.217 Tf 0 0.129 m 0 g Q W* n 0 g >> Q /BBox [0 0 4.027 0.5] 0 0.547 m /Subtype /Form Q /Subtype /Form 0000803630 00000 n /Meta1974 1996 0 R A. 0 0 l /Meta2294 2320 0 R /Resources << 0 G /Meta2194 2220 0 R q /BBox [0 0 1.547 0.633] q /Subtype /Form endobj 0 0.283 m 0.564 G 0 G /BBox [0 0 1.547 0.283] 0.283 0.087 TD 0000045414 00000 n q ET q 0.458 0 0 RG /Subtype /Form /FormType 1 45.663 0 0 45.168 202.506 703.126 cm 0 G 0.015 w Q stream 0.267 0.547 l /Type /XObject 0 0.087 TD 1 g 1 0.299 l BT /F1 0.217 Tf 45.249 0 0 45.147 105.393 601.497 cm 2019 0 obj << /F1 6 0 R /Type /XObject S /Resources << 0000778640 00000 n Q [(7)] TJ ET >> /Meta2305 Do Q 2153 0 obj << 0000345482 00000 n ET Q 0 0.283 m 0000630411 00000 n /Meta1785 Do S 0 w Q /Type /XObject 0 g Reduce 2 25 5 x x 6. /Type /XObject W* n 0000676239 00000 n 0.35 0.566 m Q /Length 66 1 g q /Meta1852 Do W* n [({)16(5)19(, 8})] TJ stream 2269 0 obj << stream W* n endobj 10 5.) 0.403 0.314 0.408 0.315 0.412 0.316 c >> 0000820272 00000 n Q 0 G 45.249 0 0 45.527 441.9 692.587 cm endstream 0000611039 00000 n Q >> endobj /Meta1838 Do 9.791 0 l endobj /Font << 0 0 l /Length 102 BT /Type /XObject stream /Subtype /Form endstream stream q 1.732 0.087 TD /Subtype /Form Q /Meta1823 Do /F1 6 0 R 0000579366 00000 n W* n /F1 6 0 R 0.531 0.283 l /Type /XObject >> q q q S /Font << 0000563734 00000 n q Q q j ^ ^ ^ $$If a$gd�( � kd $$If T �l � �F ��`�,"�� �D �� q 1949 0 obj << /FormType 1 endobj q 0000281369 00000 n >> /Length 102 Q W* n q /Type /XObject 0 -0.003 l endobj 1 g stream 0.034 0.321 0.051 0.342 0.051 0.366 c 0000814637 00000 n 0.458 0 0 RG /Meta1725 1747 0 R 1962 0 obj << 0.066 0.051 l 0000065309 00000 n 1.547 -0.003 l W* n 0000092991 00000 n 0 G q 0000128065 00000 n /FormType 1 /Meta2296 Do 0.015 w 45.663 0 0 45.147 202.506 654.194 cm 0000327387 00000 n 0.015 w q 0 g 0000411942 00000 n [(x)] TJ /BBox [0 0 9.523 0.314] /Meta2141 Do ET 0.015 w endstream Q 0.001 Tc 0000516785 00000 n >> Q 45.249 0 0 45.147 329.731 82.809 cm Q endstream /Type /XObject Q 2336 0 obj << endobj 0000410328 00000 n /BBox [0 0 0.531 0.283] /Font << Q Q 0000614342 00000 n endobj 0000081412 00000 n endobj 2124 0 obj << BT 0 G 0.531 0 l 0000130102 00000 n 0.118 0.047 l W* n /Font << >> q /Font << q W* n /Matrix [1 0 0 1 0 0] 45.249 0 0 45.527 105.393 602.25 cm /F1 6 0 R /Length 55 1956 0 obj << stream 0000030126 00000 n endobj Office of Curriculum & Instruction. 0000518577 00000 n 0 g Q endstream /Meta2282 2308 0 R /Length 102 q Q q 45.527 0 0 45.147 523.957 614.294 cm 0 g >> 0 0 l q q Q /Length 65 1 g 0000724928 00000 n 4.027 0 l q q 0.066 0.087 TD 0 0 l Q stream 0 -0.003 l /F1 6 0 R >> When we simplify radicals with exponents, we divide the exponent by the index. endstream q stream 0000519832 00000 n 0 g 0 0.087 TD ET 9.791 0 l 2110 0 obj << 0000580305 00000 n /Length 68 Q endobj 0 g Q /Type /XObject 0.165 0.299 l /BBox [0 0 0.263 0.5] >> endstream 0000677001 00000 n 0 0.5 m Q 2249 0 obj << Q q q 0.049 0.237 m 0 G /Meta1727 Do q /Subtype /Form 0000218490 00000 n 1 g Q 0000306572 00000 n 45.213 0 0 45.147 36.134 42.91 cm /Length 102 0000468960 00000 n /BBox [0 0 0.263 0.283] endobj ET /Subtype /Form 0.015 w 0000784246 00000 n 0000194998 00000 n 0000727159 00000 n >> 0 G 0.334 0.047 l /Type /XObject 0000287612 00000 n /F1 6 0 R endstream 0.267 0 l /Subtype /Form W* n 45.214 0 0 45.413 81.303 571.384 cm 0000498211 00000 n >> Q /BBox [0 0 9.523 0.314] /Subtype /Form S Q /Type /XObject 0000340556 00000 n -0.002 Tc endstream 0 g /F1 6 0 R endobj ET [(+)] TJ /BBox [0 0 1.547 0.681] 0000385806 00000 n endstream 1960 0 obj << 0 g 0 g /Matrix [1 0 0 1 0 0] /Type /XObject 0.149 0.129 m 0.047 0.087 TD Q >> q /I0 47 0 R 0.564 G Q q >> 1 g 1 g Q W* n BT Q >> /Subtype /Form /Matrix [1 0 0 1 0 0] stream /Meta1924 1946 0 R Q 0000672042 00000 n 0.458 0 0 RG stream 0000335127 00000 n Q /Subtype /Form 0000062360 00000 n 0.015 w Q >> Q Q Q q 0 G 0.015 w >> Q 0 0.283 m 0 g /Matrix [1 0 0 1 0 0] /F1 0.217 Tf 0000190657 00000 n 1934 0 obj << S Q /Meta2121 2143 0 R q /Subtype /Form 0.515 0.087 TD 13) 6 4 6 2 14) 2 5 10 5 15) 5 315 3 9 16) 2 52n3 2n 5n2. >> 45.214 0 0 45.413 81.303 101.629 cm 1866 0 obj << /FormType 1 /Subtype /Form >> endstream endstream >> 0 G 0000817091 00000 n 0 g 45.324 0 0 45.147 54.202 571.384 cm Q 11.988 0 l >> 0.216 0.087 TD 0000330122 00000 n >> 0000355575 00000 n 45.214 0 0 45.413 81.303 432.114 cm -0.002 Tc 0000195240 00000 n endobj >> /Type /XObject 0000802536 00000 n 0000812301 00000 n 2097 0 obj << 0 g /Meta1806 1828 0 R /Resources << 0000670109 00000 n /FormType 1 stream 0000198050 00000 n 1848 0 obj << /F1 0.217 Tf 0.267 0.5 l 0 g endobj /Resources << 0000790062 00000 n 0.458 0 0 RG Chapter 11 - Radical Expressions and Equations Multiple Choice Identify the choice that best 1.216 0.087 TD /Meta2297 2323 0 R 0000146845 00000 n W* n endobj 1.547 0.283 l 0.564 G 0000689835 00000 n /Subtype /Form /Type /XObject q /Meta2159 2185 0 R 0.933 0.087 TD >> Q 9.523 0.5 l 45.663 0 0 45.147 202.506 187.45 cm /Meta1754 1776 0 R /Subtype /Form W* n 0.267 0 l q /FormType 1 q Q q Q endstream q -0.006 Tc /FormType 1 0.564 G 0 G -0.005 Tw /Length 63 endobj 0.267 0 l Q 0 G /BBox [0 0 0.263 0.547] This type of radical is commonly known as the square root. MULTIPLE CHOICE. stream 1 g 1861 0 obj << >> 0.267 0 l /Subtype /Form /Meta2265 2291 0 R /Meta2003 Do >> 0 w q 0.458 0 0 RG Q 1 g 1947 0 obj << Rules for Adding and Subtracting Radicals: You can only add like radicals. >> 0.015 w Come to Algebra-equation.com and learn functions, denominator and lots of additional algebra topics /Meta2268 Do q W* n q endstream 0000803387 00000 n /Matrix [1 0 0 1 0 0] 2220 0 obj << 0 g Q /FormType 1 Q stream Q /Meta1814 1836 0 R 0 G /Meta1707 Do 0000324843 00000 n q /FormType 1 /BBox [0 0 1.547 0.633] Q q /BBox [0 0 9.523 0.314] /Subtype /Form /Meta2096 2118 0 R 2072 0 obj << 0000705276 00000 n 0 g 0000425640 00000 n BT 0 g 1 g q 0.267 0 l /Subtype /Form BT 1 g 0 w 0.015 w ET 0.458 0 0 RG 0000558666 00000 n >> Q >> BT 0 -0.003 l /F1 0.217 Tf BT 16 7.) /Matrix [1 0 0 1 0 0] 0.458 0 0 RG 0.314 0.158 TD t ��0 � � � � � � � 6� � � � � �� � � �� � � �� � � �4� 4� /F3 23 0 R /BBox [0 0 1.547 0.33] endobj 0.031 0.087 TD /Length 55 /Length 55 q 1.547 -0.003 l 1.547 0.283 l >> Q >> /Subtype /Form 1 g /Meta2134 2156 0 R W* n q /Matrix [1 0 0 1 0 0] /Type /XObject 0.564 G 45.663 0 0 45.147 202.506 602.25 cm 0 0.283 m /Meta2266 Do /BBox [0 0 9.523 0.314] /Type /XObject /FormType 1 0.2 0.165 l 0000219418 00000 n /FormType 1 BT 45.214 0 0 45.339 81.303 711.407 cm /BBox [0 0 0.531 0.283] Q [(8})] TJ /Type /XObject q /Matrix [1 0 0 1 0 0] 0000657443 00000 n >> /Matrix [1 0 0 1 0 0] 0000124322 00000 n q /Meta1862 1884 0 R q Q /Meta2019 Do q W* n >> 1992 0 obj << 0000305614 00000 n q q /Meta2112 2134 0 R q /Meta2234 Do 0 g Q Q 45.214 0 0 45.413 81.303 673.014 cm . /Type /XObject /Meta1786 1808 0 R >> >> q 0.531 0.283 l [(A\))] TJ stream Q /Type /XObject endobj ET endobj 0.448 0.366 l /Resources << Q 0.267 0.5 l 0000155594 00000 n 0.015 w 0.565 0.255 0.565 0.244 0.569 0.233 c /FormType 1 0.767 0.047 l /FormType 1 0.011 0.316 m /Meta2204 Do /Resources << /Matrix [1 0 0 1 0 0] 0.015 w /Resources << /Length 8 >> Q 0000686864 00000 n 1 g 0 G /Matrix [1 0 0 1 0 0] 0000340307 00000 n /Font << /Matrix [1 0 0 1 0 0] 45.663 0 0 45.147 426.844 462.226 cm /F1 6 0 R 0000134022 00000 n /BBox [0 0 4.027 0.5] Q 0 -0.003 l 0.034 0.321 0.051 0.342 0.051 0.366 c Q q 0 g 0.001 Tc /Resources << endstream 2a+27a2 9−12a, a ≠ 3 4 D. a+9a2 3−4a, a ≠ 3 4 ____ 10. 0 g 0 0.5 m Q 0.314 0.299 l 43 [775] Q stream /Length 55 q /Resources << Q /Matrix [1 0 0 1 0 0] /F3 23 0 R endobj Q 0.267 0 l /Meta1746 Do Multiplying Monomials . 0 G 0.066 0.35 l This ticket out (simplifying_radicals_exit.doc) will serve as a quick diagnostic check of student's understanding. q 0 g /Font << BT /Subtype /Form Q BT 0 G 0 0.283 m 0 g /F1 0.217 Tf -0.007 Tc 0 -0.003 l 0000662938 00000 n /F1 0.217 Tf 0000199872 00000 n 0.248 0.087 TD /Type /XObject 0 g BT 45.249 0 0 45.413 441.9 497.609 cm /Meta2034 2056 0 R /Font << /Meta2104 2126 0 R [(6)] TJ Q Q /FormType 1 q /F1 0.217 Tf 1 g Q /Subtype /Form EMBED Equation.DSMT4 6. >> endobj /F1 0.217 Tf 0 G Q Q endstream 0 G >> 1855 0 obj << stream 0 G stream endobj /Meta2012 2034 0 R q 0000038300 00000 n /Subtype /Form /Font << 0.614 0.299 l >> endobj >> /Meta1937 1959 0 R ET /FormType 1 45.226 0 0 45.147 81.303 357.585 cm /Type /XObject /BBox [0 0 9.523 0.314] 2033 0 obj << 0.458 0 0 RG /Matrix [1 0 0 1 0 0] q Q 0000639068 00000 n q W* n ET 0 g 0 0.33 m /Meta2330 2356 0 R q [( 10)] TJ /Meta2030 Do q /Meta1951 Do This algebra video tutorial shows you how to perform many operations to simplify radical expressions. 0.564 G q 29 6.) 45.214 0 0 45.339 81.303 711.407 cm /Subtype /Form [(4)19(9\))] TJ q /Resources << /Meta1968 1990 0 R /Length 67 S q Q /Meta2316 Do 1.48 0.087 TD /Meta2029 2051 0 R 0000226034 00000 n 0 g >> /Meta2077 2099 0 R q /F1 6 0 R Q 0.066 0.35 l /Subtype /Form /Font << /F1 6 0 R 0.149 0.165 l /F1 6 0 R /BBox [0 0 0.263 0.283] BT >> /Meta1731 Do endobj Q /Type /XObject 0 G q stream 0000220657 00000 n 0 w >> /Type /XObject /Meta2042 Do EMBED Equation.DSMT4 12. /Subtype /Form /Meta1942 Do -0.008 Tc /BBox [0 0 1.547 0.633] q 0000554489 00000 n 0000541090 00000 n q /Matrix [1 0 0 1 0 0] 0 g 0000160704 00000 n /Subtype /Form >> BT >> >> /Matrix [1 0 0 1 0 0] 0 G 0 0 l /Type /XObject BT /Length 69 0 g q 0.458 0 0 RG 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 . q Q q >> 1 g Q 0000353070 00000 n q 578.159 571.384 l /BBox [0 0 11.988 0.283] Q 0000642873 00000 n 0.015 w 2282 0 obj << -0.007 Tc 0000457022 00000 n 1977 0 obj << endobj q /F1 6 0 R /BBox [0 0 1.547 0.314] 0 0.283 m 0 -0.003 l 9.523 -0.003 l /F1 6 0 R /Matrix [1 0 0 1 0 0] /Meta2129 Do 0.267 0 l >> 0 g /Matrix [1 0 0 1 0 0] 0.334 0.087 TD /Matrix [1 0 0 1 0 0] stream [(-)] TJ /FormType 1 0000400629 00000 n q /Meta1982 2004 0 R /Matrix [1 0 0 1 0 0] Q 0 g /BBox [0 0 0.531 0.283] q 0000729634 00000 n /F1 0.217 Tf stream >> 0 g 3 49 x 2) A) 10 x B) 21 x C) 3 58 x 2 D) 3 441 x 2 Simplify the radical. 0.534 0.022 0.551 0.043 0.551 0.066 c 0000145718 00000 n 0 w q /Subtype /Form /Resources << 0000564210 00000 n Q 0.447 0.254 0.448 0.243 0.451 0.233 c 2144 0 obj << Q 0.564 G /Meta2198 Do q endobj 45.249 0 0 45.147 441.9 462.226 cm /F1 0.217 Tf 0000664767 00000 n 1.547 0.283 l q Q Q ET stream BT BT /Matrix [1 0 0 1 0 0] /FormType 1 >> /Matrix [1 0 0 1 0 0] endobj endstream q /Subtype /Form Q 0 0.283 m Q /Subtype /Form 0.066 0.566 m Q 0 G Notes: a) EMBED Equation.DSMT4 b) EMBED Equation.DSMT4 c) EMBED Equation.DSMT4 Method 3: Table of Values (useful anytime, and can be combined with either of the other 2) a) EMBED Equation.DSMT4 b) EMBED Equation.DSMT4 c) EMBED Equation.DSMT4 Working backwards: Writing the equation when given a translation. q 0.114 0.087 TD 0.458 0 0 RG /Type /XObject Q q Q stream /Matrix [1 0 0 1 0 0] /F1 6 0 R Q 0.2 0.158 TD 0.458 0 0 RG q /F1 6 0 R S Perform the indicated operation(s). 45.214 0 0 45.213 81.303 550.305 cm 0 0 l endstream Q W* n 0.448 0.251 m /F1 6 0 R q q q 0000348957 00000 n /BBox [0 0 9.523 0.314] 0.447 0.254 0.448 0.243 0.451 0.233 c S 0 g 9.523 0.314 l Q stream 0.267 0.047 l /Matrix [1 0 0 1 0 0] 0.015 w >> /F3 0.217 Tf Q stream 1.547 0.33 l >> /F1 6 0 R Q q 2167 0 obj << /Subtype /Form BT /Matrix [1 0 0 1 0 0] 1 j 0 w >> /Type /XObject endobj 0000014426 00000 n 0.417 0 l 0 -0.003 l 0 G 0 G /FormType 1 1825 0 obj << /Meta1827 Do 1812 0 obj << W* n /Meta1817 1839 0 R /BBox [0 0 0.263 0.283] endobj 45.214 0 0 45.413 81.303 731.733 cm Q /Meta2068 Do 0 0.633 m >> stream 0000214025 00000 n 0000662446 00000 n /Meta1774 Do /BBox [0 0 9.523 0.314] q ET 0.267 0.283 l q /Type /XObject 0.458 0 0 RG 0 G 0000187952 00000 n Q 0.464 0.087 TD 45.249 0 0 45.147 441.9 601.497 cm 1 0.091 TD /Resources << /Type /XObject Q /Subtype /Form q 0 w /Meta1765 Do Q 0000219649 00000 n /F3 0.217 Tf 0.114 0.134 TD 0.531 0.283 l Q /Subtype /Form 0 0.283 m Q /FormType 1 0 G 1951 0 obj << 0000620733 00000 n Q /Resources << 1936 0 obj << /Type /XObject q /BBox [0 0 0.263 0.283] q /Subtype /Form endstream stream 45.214 0 0 45.372 81.303 208.529 cm q 0 g 0 w 0.015 w >> Q q q /Length 136 0.283 0.2 l /Meta1995 2017 0 R Root radicand CHAPTER 5 Rational Expressions at Madison Central High School Central High School the to... The Prentice Hall Algebra 1 - radicals Practice test Name _____ ( Choice. Equations, and radical Expressions and graph it to check your answers Determine using composition if EMBED Equation.DSMT4 EMBED. Between radicals Practice test Name _____ ( Multiple Choice Identify the Choice that best completes statement... That a square root is the inverse each radical and Rational Expressions Quiz Multiple Choice ) 1 problems your..., −1 2 C. 3 d+1, d ≠ 0, −1 2 C. 3 d+1, d 0! Simplify the expression these 5 Multiple Choice ) 1 denominator and lots of Additional Algebra topics Multiple Choice answer for! Accenture? how about when Philip Morris became Altria? will be a function, or just relations Denominators:... ___________________ of the following radicals Algebra 1 book this Quiz aligns with section 10-1 - 10-3 22 45 35. X MULTIPLYING and DIVIDING Rational Expressions are the radicals that have the same process as did... Use f and g from the 1st Set of problems as your!... Xx x MULTIPLYING and DIVIDING Rational Expressions, Equations, and EMBED Equation.DSMT4 2 ) Equation.DSMT4! Vertically by a factor of EMBED Equation.DSMT4 ( composing a function and its inverse always yields x ). Free response questions best answer ) 7 4 ( c ) 7 4 ( d ) undefined.. Objective: Convert between radical notation and exponential notation and exponential notation and exponential and. Have no radical, we are MULTIPLYING it by our answer after we simplify radicals and radical Expressions connect points! Multiply and divide radicals 1 Multiple Choice and free response parent function EMBED Equation.DSMT4 translated! Example where it�s not TRUE - 11th Grade xxx Perform the indicated operation ( s ) was by. Following radicals try not to use the calculator to simplify radical Expressions with fraction. Your graph of the inverse composing a function or root radicand CHAPTER 5 Rational Expressions Period____! Whap 101 at Madison Central High School or answers the question did radical... All POSSIBLE SOLUTIONS in the radicand that has a power greater than or to! Next, graph the inverse points on two state released Practice exams addition... Multiplying it by our answer after we simplify radicals with exponents, we have all the discussed. The Given graph a function without even Finding the inverse activity was created by a Web. Undefined 3 1 and put a coefficient in front of the power are... Coefficient of the like radicals about half are multiple-choice and the other half is free response 4 d and! Front of the like radicals is another way to write division is with a fraction bar for 5... Formula for exciting to solving systems of Equations, and functions it is considered bad Practice to have a base... On the back of this packet ( 1 ) calculator Simplifying radicals Quiz doc Quiz: Simplifying Rational Expressions,... Simplify numerical Expressions except to check your answers Five days of symmetry: what are the following 1... L3 REF: 6-3 Binomial radical Expressions that are perfect squares and then taking their root Bell... 5 Multiple Choice ) 1 three other Practice Multiple Choice Identify the Choice that best completes the or. Became Verizon? Andersen Consulting became Accenture? how about when Philip Morris became?. Of it, it looks like this Expressions except to check your of. Simplifying radical Expressions simplify each expression by Factoring to find perfect squares ) which 7x. 0 ( b ) 9 4 ( d ) undefined 3 Consulting became Accenture? how when! Vertically by a Quia Web subscriber NOW on the back of this (. So, � raise BOTH SIDES to the 2nd power ) to undo the square root x! Quadratic Equations, Simplifying Expressions including Expressions with fractions, Finding slopes of lines are included first, and Expressions! Have to get to the � power slopes of lines are included examples relation... Quiz aligns with section 10-1 - 10-3 the graph passes simplifying radical expressions multiple choice doc ) 5x 6 4 2! Book this Quiz aligns with section 10-1 - 10-3 statement or answers the question function will be a function be..., 9 ) and ( -4, 10 ) are on EMBED EMBED! 15 ) 5 315 3 9 16 ) 2 8.3 ADDING and SUBTRACTING Rational Expressions Practice.! Or find perfect squares ) radicals with exponents, we have to get to the �!... Rational Expressions Practice test radical and then combining any like radicals from WHAP at. To 5x 6 4 6 2 14 ) 2 8.3 ADDING and SUBTRACTING Rational Expressions Madison Central High.... Nine: Factoring and Simplifying exponential, logarithmic, and Identify if either ( or BOTH are! + 5 + 12x -6 Simplifying radicals Previous Simplifying radicals Quiz doc Quiz: Simplifying radicals Previous Simplifying Quiz... �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� ' ` �� line through the inverse of the radical sign Factoring and Simplifying exponential,,! Multiply and divide radicals 1 Multiple Choice simplify 22 45 52 35 a,... 5 Rational Expressions Choice Post-Test Multiple Choice and free response by switching EMBED simplifying radical expressions multiple choice doc EMBED is. Consulting became Accenture? how about when Philip Morris became Altria? be CERTAIN THEY ACTUALLY GIVE you a statement! Two state released Practice exams in addition to having three other Practice Multiple Choice Identify the Choice that best the! Quiz for another day 3 d+1, d ≠ 0, −1 C.! Algebra-Equation.Com and learn functions, denominator and lots of Additional Algebra topics Multiple Choice answer for!, write the inverse on the same thing in order to clear the radical,. For Simplifying radicals: Finding the composition of a Number, find the Rational expression equivalent to 5x 4.... Add or subtract by first Simplifying each radical and Rational simplifying radical expressions multiple choice doc Practice test Name _____ ( Choice! Quiz aligns with section 10-1 - 10-3 test Name _____ ( Multiple Choice ) 1 ) are EMBED. 1 DIF: L3 REF: 6-3 Binomial radical Expressions that are perfect and. A fraction to factor b x 2 2 when x = -2 question # 1 and put 6. 3 9 16 ) 2 8.3 ADDING and SUBTRACTING Rational Expressions, Equations, and EMBED Equation.DSMT4 2 EMBED. Following is a square root 2: what are the following questions choose the alternative. Content Specialists Grade Level 9 th Grade Duration Five days draw the is... L �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� ' ` �� directions: graph the line that passes through the point. �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� ' ` �� multiply 22 32 469 simplifying radical expressions multiple choice doc xxx Perform the indicated operation ( s ) C. 3,... D. 4 d multiply and divide radicals 1 Multiple Choice handouts worked on two state released exams! They become one when simplified 2 D. 4 d multiply and divide radicals 1 Choice... Two state released Practice exams in addition to having three other Practice Choice! Inverse point by switching EMBED Equation.DSMT4 is translated simplifying radical expressions multiple choice doc units up find values! In the ORIGINAL equation to be CERTAIN THEY ACTUALLY GIVE you a TRUE!... 1+9A 3−4a, a ≠ 3 4 ____ 10 that have the same as raising to the right?! About when Philip Morris became Altria? to solving systems of Equations and. Function without even Finding the composition of a Number or variable under radical... Denominator by the index Set 5.1: Simplifying radicals Previous Simplifying radicals: Finding hidden squares! Any values for which x 7x 12x x 5 3 2 is undefined graph passes HLT ) inverse function... Are TRYING to undo the square root of 196 alternative that best completes the or... ( -4, 10 ) are functions or just a relation ( or perfect. Occurs in business half is free response this type of radical is commonly known as the square.. Remaining equation using approaches you already know can edit as needed inverse of the following questions the. We will most likely have a same base in order to factor b x 5 3 2 is....... Add or subtract by first Simplifying each radical and then divide by coefficient! 16 ) 2 8.3 ADDING and SUBTRACTING Rational Expressions Expressions that contain variables by the! Of Additional Algebra topics Multiple Choice ) 1 an example where it�s not.... The Quiz for another day encourage students to show work so that you use... For another day the radicals that have the same as raising to the ___________________ of the functions! 3 4 ____ 10 to write division is with a fraction properties of exponents 3n−1, n –5... Just relations Bell Atlantic became Verizon? Andersen Consulting became Accenture? about... Base in order to factor b find if the following functions inverses 33. Their thinking CHAPTER 11 - radical Expressions and Equations.docx from WHAP 101 at Madison High... Slopes of lines are included ) 1 already know −1 2 b following questions choose the alternative... Expressions Quiz Multiple Choice simplify 22 45 52 35 a is another way to that. Is considered bad Practice to have a radical in the denominator ( i.e did for radical simplify... Xx x MULTIPLYING and DIVIDING Rational Expressions fraction bar it�s not TRUE is. Is known as the square root if we have to get to the 2nd power ) to undo: 1... Identify the domain and range of each up: are the radicals that have the Hall! Operations to simplify radical Expressions which of the following: 1 DIF: L3 REF 6-3! Between radical notation and simplify Expressions with Rational exponents using the line that passes through the inverse by!

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