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ID: 1 Keystone Algebra 1 Name___________________________________ Exponent Properties and Word Problems Review Date________________ Period____ ©z v2v041p4c gKxuQtJaS gSoodfAtrwdaCrmem CL4LECu.9 f oAolklw 2rJiBghhltHs9 wrreus4eorPvvepdH.1 Simplify. Your answer should contain only positive exponents. 1) 4r 3) 5) −1 3n −1 4n −1 ⋅r 2) (3 x 3 4) −1 (b 3 ) −3 6) (2 x) 3 ⋅ x 0 ⋅ 2 x −2 2v −3 v ⋅ 3v b ) 0 4 −2 7) (2 −4 ⋅ 2 2 ) 2 0 8) 3 ⋅3 3 9) 3 x −1 y 0 ⋅ 3 x −1 y −4 ©K Q2A081B4r BKUuFtIa5 1S5otfwtAwDairOei ALuLFCA.x f 6ALlVl2 lrJi5g8hftNs0 jrXersEeZrcv9etdx.M i HMraXd0ec Xw9iwtvh4 1I6ndfmiZnYiAtzes GAhlygpevbZrHai l2j.C −2 −3 10) (4 x 4 y 0 ) -1- 3 Worksheet by Kuta Software LLC 4 2 11) 3x y 12) −4 4 3x y 13) y x ⋅ ( x y 3 (u 0 v −4 ) 3 v 0 ) −3 2 14) The difference of two numbers is 5. Their sum is 23. What are the numbers? 15) The school that Norachai goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 8 senior citizen tickets and 14 student tickets for a total of $136. The school took in $98 on the second day by selling 7 senior citizen tickets and 7 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. 16) Asanji and Cody each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Asanji spent $154 on 13 hostas and 9 pots of ivy. Cody spent $35 on 3 hostas and 2 pots of ivy. What is the cost of one hosta and the cost of one pot of ivy? 17) New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 10 vans and 12 buses with 760 students. High School B rented and filled 7 vans and 7 buses with 462 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry? ©Z 82u0t1l4i 0K8uQt7al 1SOogfRtHwcaRrGe5 vLfLoCt.Y t aAtlxll lrci4g9httusy ArleSsceFrsvUeNdD.i A PMGapdYem Rwxitt3hx JImnkfyienviCt2eq UADl9gCeKb4rpag 92R.7 -2- Worksheet by Kuta Software LLC Answers to Exponent Properties and Word Problems Review (ID: 1) 1) 4r 2 2) 81 4) b 8 3 3) 4 8) 3 1 7) 4 2 x8 1 11) 2 12) 12 y v 15) senior citizen ticket: $10, student ticket: $4 6) 16 x 2 2 3v 10) 64 x 12 9 9) 2 4 x y 14) 9 and 14 x5 13) 5 y 16) hosta: $7, pot of ivy: $7 17) Van: 16, Bus: 50 5) ©z c2K0K124J HKaupt6aD 3SPoxfVtWwea3rveR fL9LSCh.I R iAPl0lH DrUi8gehvtxsK xrEewsdekrAvGe8dX.w 2 oM7atdxeR Bwbigtehs IIJnUf3innNiJtye2 mAclugrefb0rMaA m2o.2 -3- Worksheet by Kuta Software LLC