Word Problems: Solve using any method

Transcription

1 Algebra 1: Systems of Equations Name ID: 1 Word Problems: Solve using any method Date Period 1) Flying with the wind a plane went 141 km/h. Flying into the same wind the plane only went 113 km/h. What is the speed of the wind? How fast would the plane go if there were no wind? A) Plane: 193 km/h, Wind: 22 km/h B) Plane: 74 km/h, Wind: 22 km/h C) Plane: 127 km/h, Wind: 14 km/h D) Plane: 119 km/h, Wind: 11 km/h 2) Pranav and Amanda each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Pranav spent $40 on 2 hostas and 4 shrubs. Amanda spent $36 on 1 hosta and 4 shrubs. What is the cost of one hosta and the cost of one shrub? A) hosta: $4, shrub: $8 B) hosta: $8, shrub: $4 C) hosta: $3, shrub: $9 D) hosta: $5, shrub: $7 3) The sum of two numbers is 12. Their difference is 4. What are the numbers? A) 5 and 12 B) 2 and 5 C) 4 and 8 D) 5 and 3 4) The school that Aliyah goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 7 senior citizen tickets and 7 student tickets for a total of $112. The school took in $100 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket? A) senior citizen ticket: $14, student ticket: $9 B) senior citizen ticket: $6, student ticket: $10 C) senior citizen ticket: $7, student ticket: $2 D) senior citizen ticket: $10, student ticket: $6 5) Anjali and Lisa are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of oatmeal cookie dough. Anjali sold 8 packages of sugar cookie dough and 7 packages of oatmeal cookie dough for a total of $124. Lisa sold 8 packages of sugar cookie dough and 3 packages of oatmeal cookie dough for a total of $76. What is the cost each of one package of sugar cookie dough and one package of oatmeal cookie dough? A) package of sugar cookie dough: $4, package of oatmeal cookie dough: $10 B) package of sugar cookie dough: $4, package of oatmeal cookie dough: $11 C) package of sugar cookie dough: $5, package of oatmeal cookie dough: $12 D) package of sugar cookie dough: $8, package of oatmeal cookie dough: $10 E c2l0s1p6t ZKwuitla_ msvotfgttwoagrmeb xlelccu.` h UA[l`lj SrjiBgjhStKsC trnemscevrzvyewdj.m k ymbaldeet swhiltdht didnhfkixnnivtheo ]APlFgIeibsr[ac Q1V. -1-

2 6) Mike's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 adult tickets and 7 child tickets for a total of $46. The school took in $66 on the second day by selling 7 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket. A) adult ticket: $4, child ticket: $6 B) adult ticket: $5, child ticket: $3 C) adult ticket: $6, child ticket: $4 D) adult ticket: $8, child ticket: $6 7) The school that Joe goes to is selling tickets to a play. On the first day of ticket sales the school sold 8 adult tickets and 6 student tickets for a total of $120. The school took in $108 on the second day by selling 2 adult tickets and 8 student tickets. What is the price each of one adult ticket and one student ticket? A) adult ticket: $6, student ticket: $12 B) adult ticket: $4, student ticket: $16 C) adult ticket: $12, student ticket: $6 D) adult ticket: $2, student ticket: $7 8) Flying to Lisbon with a tailwind a plane averaged 363 km/h. On the return trip the plane only averaged 299 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air. A) Plane: 329 km/h, Wind: 17 km/h B) Plane: 214 km/h, Wind: 51 km/h C) Plane: 331 km/h, Wind: 32 km/h D) Plane: 371 km/h, Wind: 24 km/h 9) Flying with the wind a plane went 323 km/h. Flying into the same wind the plane only went 293 km/h. Find the speed of the plane in still air and the speed of the wind. A) Plane: 441 km/h, Wind: 24 km/h B) Plane: 442 km/h, Wind: 16 km/h C) Plane: 308 km/h, Wind: 15 km/h D) Plane: 206 km/h, Wind: 16 km/h 10) Aliyah's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 2 adult tickets and 6 child tickets for a total of $54. The school took in $29 on the second day by selling 2 adult tickets and 1 child ticket. What is the price each of one adult ticket and one child ticket? A) adult ticket: $19, child ticket: $3 B) adult ticket: $11, child ticket: $7 C) adult ticket: $12, child ticket: $5 D) adult ticket: $10, child ticket: $3 U D2u0U1k6j jkcueteas gspoefct\wraqroe\ YLXLSC^.w s qail_lx DrWiLgqhntdsQ NrreYslefrZv[eidV.V a KMQaXdpex sweietwhb VINnUfIianPihtNe\ OARlJgseVb_reaG V1o. -2-

3 Algebra 1: Systems of Equations Name ID: 2 Word Problems: Solve using any method Date Period 1) Flying to Jacksonville with a tailwind a plane averaged 145 mph. On the return trip the plane only averaged 71 mph while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air. A) Plane: 101 mph, Wind: 51 mph B) Plane: 126 mph, Wind: 31 mph C) Plane: 108 mph, Wind: 37 mph D) Plane: 83 mph, Wind: 58 mph 2) Flying to Houston with a tailwind a plane averaged 161 km/h. On the return trip the plane only averaged 129 km/h while flying back into the same wind. What is the speed of the wind? How fast would the plane go if there were no wind? A) Plane: 84 km/h, Wind: 20 km/h B) Plane: 83 km/h, Wind: 13 km/h C) Plane: 145 km/h, Wind: 16 km/h D) Plane: 200 km/h, Wind: 10 km/h 3) Trevon and Ndiba each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. Trevon spent $105 on 7 rose bushes and 7 pots of ivy. Ndiba spent $110 on 8 rose bushes and 7 pots of ivy. Find the cost of one rose bush and the cost of one pot of ivy. A) rose bush: $2, pot of ivy: $5 B) rose bush: $5, pot of ivy: $10 C) rose bush: $10, pot of ivy: $5 D) rose bush: $2, pot of ivy: $13 4) Amy and Alberto each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. Amy spent $22 on 6 rose bushes and 1 pot of ivy. Alberto spent $26 on 6 rose bushes and 2 pots of ivy. What is the cost of one rose bush and the cost of one pot of ivy? A) rose bush: $3, pot of ivy: $4 B) rose bush: $5, pot of ivy: $5 C) rose bush: $2, pot of ivy: $3 D) rose bush: $4, pot of ivy: $3 5) The difference of two numbers is 2. Their sum is 10. Find the numbers. A) 2 and 10 B) 6 and 3 C) 5 and 2 D) 4 and 6 N b2q0a1j6^ LKxudtya[ SSIo_fstlwZavrueU ilnlice.v t _AGl`lC ]riizguhtt_sb nrwevs\e^rovkesdf.t D hmaaedpeu ^wgigtqhi LIYnbfBi_nhiQtteD SAGlUgTevb`rEac R1P. -1-

4 6) Beth and Ryan each improved their yards by planting hostas and geraniums. They bought their supplies from the same store. Beth spent $87 on 6 hostas and 5 geraniums. Ryan spent $74 on 8 hostas and 2 geraniums. What is the cost of one hosta and the cost of one geranium? A) hosta: $7, geranium: $9 B) hosta: $10, geranium: $12 C) hosta: $5, geranium: $8 D) hosta: $9, geranium: $7 7) The sum of two numbers is 12. Their difference is 2. Find the numbers. A) 5 and 7 B) 4 and 6 C) 7 and 10 D) 6 and 9 8) John's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 3 adult tickets and 3 child tickets for a total of $45. The school took in $90 on the second day by selling 4 adult tickets and 7 child tickets. What is the price each of one adult ticket and one child ticket? A) adult ticket: $5, child ticket: $10 B) adult ticket: $7, child ticket: $16 C) adult ticket: $6, child ticket: $13 D) adult ticket: $4, child ticket: $8 9) DeShawn and Molly each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. DeShawn spent $64 on 4 rose bushes and 8 geraniums. Molly spent $76 on 6 rose bushes and 8 geraniums. Find the cost of one rose bush and the cost of one geranium. A) rose bush: $5, geranium: $2 B) rose bush: $6, geranium: $5 C) rose bush: $9, geranium: $3 D) rose bush: $5, geranium: $6 10) Find the value of two numbers if their sum is 13 and their difference is 3. A) 6 and 9 B) 2 and 5 C) 5 and 8 D) 7 and 7 ` E2Y0Z1r6[ VKzuItOaA LSEolf^tMwzaarLe_ WLILgCX.C x ma^lrlr ariizgwhjtpsd frle`szehrtvke\di.o T nmxajdzea kwpiltihj `IJnsfNiYnyiRtQeF ZAul_gbe_bKrna] Y1K. -2-

5 Algebra 1: Systems of Equations Name ID: 3 Word Problems: Solve using any method Date Period 1) Jasmine and Bill each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jasmine spent $75 on 5 rose bushes and 5 geraniums. Bill spent $67 on 4 rose bushes and 5 geraniums. Find the cost of one rose bush and the cost of one geranium. A) rose bush: $7, geranium: $8 B) rose bush: $8, geranium: $7 C) rose bush: $12, geranium: $11 D) rose bush: $10, geranium: $8 2) Going down the river a boat went 12 mph. Going up the river it only went 4 mph. Find the current and the speed of the boat if there were no current. A) Boat: 8 mph, Current: 4 mph B) Boat: 7 mph, Current: 5 mph C) Boat: 9 mph, Current: 5 mph D) Boat: 5 mph, Current: 6 mph 3) Find the value of two numbers if their sum is 13 and their difference is 1. A) 6 and 7 B) 2 and 3 C) 4 and 9 D) 3 and 8 4) Emily and Heather are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Emily sold 7 small boxes of oranges and 1 large box of oranges for a total of $91. Heather sold 7 small boxes of oranges and 6 large boxes of oranges for a total of $161. Find the cost each of one small box of oranges and one large box of oranges. A) small box of oranges: $11, large box of oranges: $14 B) small box of oranges: $8, large box of oranges: $19 C) small box of oranges: $14, large box of oranges: $11 D) small box of oranges: $8, large box of oranges: $18 5) The sum of two numbers is 11. Their difference is 3. Find the numbers. A) 5 and 8 B) 4 and 7 C) 3 and 8 D) 3 and 5 J p2i0n1e6e okauytqas WSnowfItSwra`rPeG RLILpCI.t s HAllzlZ VrAi[gThutZsB ZrJevsKeDrDvWepd\.T k RMXa`dMeI dw`ixtwhk tiknif_ionzibtdew FA^lwgxeqbIrBaN m1b. -1-

6 6) Flying to Toronto with a tailwind a plane averaged 121 mph. On the return trip the plane only averaged 95 mph while flying back into the same wind. What is the speed of the wind? How fast would the plane go if there were no wind? A) Plane: 164 mph, Wind: 15 mph B) Plane: 95 mph, Wind: 17 mph C) Plane: 166 mph, Wind: 7 mph D) Plane: 108 mph, Wind: 13 mph 7) Mike's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 8 adult tickets and 5 student tickets for a total of $148. The school took in $71 on the second day by selling 1 adult ticket and 5 student tickets. Find the price of an adult ticket and the price of a student ticket. A) adult ticket: $11, student ticket: $12 B) adult ticket: $10, student ticket: $17 C) adult ticket: $18, student ticket: $18 D) adult ticket: $14, student ticket: $14 8) Brenda and Perry each improved their yards by planting daylilies and shrubs. They bought their supplies from the same store. Brenda spent $154 on 7 daylilies and 7 shrubs. Perry spent $108 on 4 daylilies and 6 shrubs. Find the cost of one daylily and the cost of one shrub. A) daylily: $7, shrub: $16 B) daylily: $10, shrub: $12 C) daylily: $14, shrub: $15 D) daylily: $12, shrub: $10 9) The difference of two numbers is 1. Their sum is 13. What are the numbers? A) 5 and 8 B) 6 and 7 C) 10 and 11 D) 4 and 5 10) Find the value of two numbers if their sum is 11 and their difference is 1. A) 5 and 6 B) 4 and 3 C) 6 and 9 D) 8 and 10 ^ U2C0l1P6m lkluwtna[ OSioBfbthwDaZrwed WLoLhCU.v n qaplel[ Orui^gChitbsj KrZersSeDrhvzendQ.i k hmrandgeu rwsixtqhs jisnwf`idnuiztzeq ia`l]g[erb[rlat C1R. -2-

7 Algebra 1: Systems of Equations Name ID: 4 Word Problems: Solve using any method Date Period 1) The sum of two numbers is 11. Their difference is 1. Find the numbers. A) 6 and 3 B) 6 and 2 C) 5 and 6 D) 3 and 5 2) The difference of two numbers is 1. Their sum is 13. Find the numbers. A) 8 and 5 B) 4 and 9 C) 6 and 7 D) 4 and 6 3) Danielle's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 4 senior citizen tickets and 6 student tickets for a total of $118. The school took in $146 on the second day by selling 8 senior citizen tickets and 6 student tickets. What is the price each of one senior citizen ticket and one student ticket? A) senior citizen ticket: $9, student ticket: $11 B) senior citizen ticket: $11, student ticket: $17 C) senior citizen ticket: $7, student ticket: $15 D) senior citizen ticket: $15, student ticket: $7 4) The school that Scott goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 5 adult tickets and 4 child tickets for a total of $91. The school took in $70 on the second day by selling 2 adult tickets and 4 child tickets. What is the price each of one adult ticket and one child ticket? A) adult ticket: $7, child ticket: $14 B) adult ticket: $9, child ticket: $6 C) adult ticket: $6, child ticket: $16 D) adult ticket: $4, child ticket: $17 5) Flying to Lagos with a tailwind a plane averaged 192 mph. On the return trip the plane only averaged 114 mph while flying back into the same wind. Find the speed of the plane in still air and the speed of the wind. A) Plane: 76 mph, Wind: 54 mph B) Plane: 153 mph, Wind: 39 mph C) Plane: 98 mph, Wind: 57 mph D) Plane: 201 mph, Wind: 16 mph \ [2D0^1F6g ikvunt^ae xsaopfutkwcasrkew LLiLNCl.f D ^AVlula BrAiig`hXtPss wrgeespewrivwe[dv.i b XMoaAdiej nwbiytihn lienxfoixnqictwe[ dazlbguexbfrjaa h1n. -1-

8 6) Traveling with the current a certain boat went 9 mph. Against the same current it only went 1 mph. Find the speed of the boat in still water and the speed of the current. A) Boat: 5 mph, Current: 4 mph B) Boat: 7 mph, Current: 3 mph C) Boat: 8 mph, Current: 5 mph D) Boat: 7 mph, Current: 2 mph 7) DeShawn and Shawna each improved their yards by planting hostas and ivy. They bought their supplies from the same store. DeShawn spent $61 on 5 hostas and 4 pots of ivy. Shawna spent $43 on 3 hostas and 4 pots of ivy. Find the cost of one hosta and the cost of one pot of ivy. A) hosta: $9, pot of ivy: $4 B) hosta: $13, pot of ivy: $3 C) hosta: $14, pot of ivy: $2 D) hosta: $4, pot of ivy: $3 8) Going down the river a boat went 11 mph. Going up the river it only went 1 mph. Find the current and the speed of the boat if there were no current. A) Boat: 8 mph, Current: 2 mph B) Boat: 7 mph, Current: 6 mph C) Boat: 6 mph, Current: 5 mph D) Boat: 3 mph, Current: 4 mph 9) Chelsea's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 7 adult tickets and 2 child tickets for a total of $118. The school took in $120 on the second day by selling 5 adult tickets and 5 child tickets. Find the price of an adult ticket and the price of a child ticket. A) adult ticket: $11, child ticket: $15 B) adult ticket: $6, child ticket: $13 C) adult ticket: $10, child ticket: $14 D) adult ticket: $14, child ticket: $10 10) Traveling downstream a certain boat went 13 mph. Traveling upstream it only went 3 mph. Find the speed of the boat in still water and the speed of the current. A) Boat: 7 mph, Current: 7 mph B) Boat: 8 mph, Current: 5 mph C) Boat: 9 mph, Current: 2 mph D) Boat: 12 mph, Current: 6 mph ^ n2d0h1g6q LK]uYt^at RSBoofytAw[aqruee RLnLGCi.r s kablml_ ursiegdhntksw OrueGsSeLrFvXeHdE.a N VMWaXdQet `wxictdha XIunIfDilnYiotVeL natl]gnenbpr_av a1\. -2-

9 Algebra 1: Systems of Equations Name ID: 5 Word Problems: Solve using any method Date Period 1) The school that Lea goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 7 senior citizen tickets and 8 student tickets for a total of $137. The school took in $82 on the second day by selling 7 senior citizen tickets and 3 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. A) senior citizen ticket: $7, student ticket: $11 B) senior citizen ticket: $10, student ticket: $4 C) senior citizen ticket: $8, student ticket: $18 D) senior citizen ticket: $11, student ticket: $7 2) Flying to Madrid with a tailwind a plane averaged 224 mph. On the return trip the plane only averaged 168 mph while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air. A) Plane: 266 mph, Wind: 11 mph B) Plane: 196 mph, Wind: 28 mph C) Plane: 219 mph, Wind: 30 mph D) Plane: 154 mph, Wind: 18 mph 3) Ryan and Eugene each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Ryan spent $34 on 1 rose bush and 5 shrubs. Eugene spent $52 on 1 rose bush and 8 shrubs. Find the cost of one rose bush and the cost of one shrub. A) rose bush: $5, shrub: $2 B) rose bush: $3, shrub: $3 C) rose bush: $4, shrub: $6 D) rose bush: $5, shrub: $8 4) Traveling downstream a certain boat went 11 mph. Traveling upstream it only went 1 mph. Find the speed of the boat in still water and the speed of the current. A) Boat: 7 mph, Current: 7 mph B) Boat: 7 mph, Current: 8 mph C) Boat: 6 mph, Current: 5 mph D) Boat: 8 mph, Current: 7 mph 5) Traveling downstream a certain boat went 13 km/h. Traveling upstream it only went 3 km/h. Find the speed of the boat in still water and the speed of the current. A) Boat: 4 km/h, Current: 8 km/h B) Boat: 12 km/h, Current: 8 km/h C) Boat: 11 km/h, Current: 3 km/h D) Boat: 8 km/h, Current: 5 km/h s ]2B0F1`6X BKJudt`ap PSZoGfztlwJaprIer JLmLgCa.i ` _AFlclq jrxiwgchftisz treevsae_rkv]ezdc.h [ HMiapdJem LwUivtHhD GIinIfaipnWittdeT WAFlcgQeTbirzaw m1k. -1-

10 6) Flying with the wind a plane went 165 mph. Flying into the same wind the plane only went 137 mph. Find the speed of the wind and the speed of the plane in still air. A) Plane: 166 mph, Wind: 12 mph B) Plane: 233 mph, Wind: 6 mph C) Plane: 223 mph, Wind: 19 mph D) Plane: 151 mph, Wind: 14 mph 7) Ashley and Eduardo each improved their yards by planting grass sod and ivy. They bought their supplies from the same store. Ashley spent $81 on 1 ft² of grass sod and 7 pots of ivy. Eduardo spent $15 on 1 ft² of grass sod and 1 pot of ivy. What is the cost of one ft² of grass sod and the cost of one pot of ivy? A) ft² of grass sod: $11, pot of ivy: $4 B) ft² of grass sod: $5, pot of ivy: $4 C) ft² of grass sod: $4, pot of ivy: $11 D) ft² of grass sod: $3, pot of ivy: $15 8) Jennifer and Asanji each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Jennifer spent $111 on 7 hostas and 4 shrubs. Asanji spent $111 on 3 hostas and 7 shrubs. What is the cost of one hosta and the cost of one shrub? A) hosta: $5, shrub: $13 B) hosta: $7, shrub: $7 C) hosta: $5, shrub: $15 D) hosta: $9, shrub: $12 9) The school that Jasmine goes to is selling tickets to a play. On the first day of ticket sales the school sold 5 adult tickets and 4 student tickets for a total of $71. The school took in $68 on the second day by selling 4 adult tickets and 4 student tickets. Find the price of an adult ticket and the price of a student ticket. A) adult ticket: $3, student ticket: $14 B) adult ticket: $2, student ticket: $15 C) adult ticket: $2, student ticket: $17 D) adult ticket: $4, student ticket: $11 10) Traveling downstream a certain boat went 13 mph. Traveling upstream it only went 3 mph. Find the speed of the boat in still water and the speed of the current. A) Boat: 6 mph, Current: 4 mph B) Boat: 7 mph, Current: 4 mph C) Boat: 8 mph, Current: 5 mph D) Boat: 5 mph, Current: 7 mph l u2p0w1q6x GKHuBtJaq ts_odfetawfaarqev ULwLKC`.` Q baplglv NrFiQgShJtFsC SrPeXs`ekrvvfe_dT.E d JMcaEdbeL dw[iptwhl fixnrfqiunoiqtoes CAtlOgheEbNrfaM c1[. -2-