Name LESSON 2-5 Date Class Practice A Solving for a Variable Answer each of the following. 1 relates the period of 2. The formula T __ f a sound wave T to its frequency f. 1. The formula K C 273 is used to convert temperatures from degrees Celsius to Kelvin. Solve this formula Solve this formula for f. for C. 1 f __ T C K 273 Solve each equation for the variable indicated. 3. x 5y for y 4. s 4t r for s x y __ 5 6. 6 hj k for j k j 6_____ h s r 4t v 7. __ w 9 for w v w __ 9 5. 3m 7n p for m p 7n m _______ 3 3 c for a _____ 8. a b a bc 3 Answer each of the following. 9. The formula d rt relates the distance an object travels d, to its average rate of speed r, and amount of time t that it travels. a. Solve the formula d rt for t. b. How many hours would it take for a car to travel 150 miles at an average rate of 50 miles per hour? d t __ r 3 10. The formula F E V 2 relates the number of faces F, edges E, and vertices V, in any convex polyhedron. a. Solve the formula F E V 2 for F. F2EV b. How many faces does a polyhedron with 20 vertices and 30 edges have? 12 Copyright © by Holt, Rinehart and Winston. All rights reserved. A1CRB07C02L05.indd 35 35 Holt Algebra 1 12/26/05 7:33:47 AM Process Black ,%33/. Óx *À>VÌViÊ 3OLVINGFORA6ARIABLE ,%33/. Óx *À>VÌViÊ 3OLVINGFORA6ARIABLE !NSWEREACHOFTHEFOLLOWING !NSWEREACHOFTHEFOLLOWING 4HEFORMULA4?? F RELATESTHEPERIODOF ASOUNDWAVE4TOITSFREQUENCYF 4HEFORMULA+#ISUSEDTO CONVERTTEMPERATURESFROMDEGREES 4HEFORMULA#QRRELATESTHERADIUSR OFACIRCLETOITSCIRCUMFERENCE#3OLVE THEFORMULAFORR 3OLVETHISFORMULAFORF #ELSIUSTO+ELVIN3OLVETHISFORMULA FOR# #+ 4 CDFORC STRFORS X Y?? W ????? A CFORA B W?? V PN M??????? Z X???????? Y B (OWMANYHOURSWOULDITTAKEFORACAR TOTRAVELMILESATANAVERAGERATEOF MILESPERHOUR WHEREBREPRESENTSTHELENGTHOFTHEBASEANDH B??? H! BHFORB A 3OLVETHEFORMULA!?? B )FATRIANGLEHASANAREAOFMM ANDTHE HEIGHTMEASURESMMWHATISTHEMEASURE OFTHEBASE &%6 MM (OLT!LGEBRA *À>VÌViÊ 3OLVINGFORA6ARIABLE ,%33/. 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All rights reserved. 3OLVEFORTHEINDICATEDVARIABLE MS A 3OLVETHEFORMULA)0RTFORT 4HEORDEROFTHEINVERSE OPERATIONSISTHEORDEROF OPERATIONSINREVERSE -ULTIPLYBOTHSIDESBY?? !BH 0SFORS T??? 0RL #OPYRIGHT©BY(OLT2INEHARTAND7INSTON !LLRIGHTSRESERVED AK4up.indd 91 & A?? M S D BISMULTIPLIEDBY?? 3OLVETHEFORMULAFORW !SQUAREPYRAMIDHASAVOLUMEOFINABASELENGTH OFINANDAHEIGHTOFIN7HATISITSBASEWIDTH (OLT!LGEBRA #OPYRIGHT©BY(OLT2INEHARTAND7INSTON !LLRIGHTSRESERVED 91 0??? +4FOR+ 6 60 +??? 4 W??? LH6 IN (OLT!LGEBRA Holt Algebra 1 12/26/05 7:33:35 AM
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