### HW No.5

```
ID: 1
GEN102
Name___________________________________
HW No.5
Student ID________________
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Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y
4)  y x


 x y


Solve each system by substitution.
5) y x
y x
6)  x y
x y
7)  x y
x y
8)  x y
y
9) The school that Nicole goes to is selling tickets to a fall musical. On the first day of ticket sales the
school sold 8 senior citizen tickets and 6 student tickets for a total of \$96. The school took in \$81
on the second day by selling 3 senior citizen tickets and 6 student tickets. Find the price of a senior
citizen ticket and the price of a student ticket.
10) The sum of the digits of a certain two-digit number is 6. When you reverse its digits you decrease the
number by 54. Find the number.
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Worksheet by Kuta Software LLC

ID: 1
GEN102
Name___________________________________
HW No.5
Student ID________________
©F F2 u0 Y1Q3J GKPu rt9an 9SlobfotzwVa9rweJ uLMLECt.S j iAzl4lt OrGi6gphMtQsx trse3sGeLrovSeodd.r
Solve each system by elimination.
1)  x y
 x y
(, )
2)  x y
 x y
(, )
3)  x y
 x y
(, )
4)  y x


 x y


(, )
Solve each system by substitution.
5) y x
y x
(, )
6)  x y
x y
(, )
7)  x y
x y
(, )
8)  x y
y
(, )
9) The school that Nicole goes to is selling tickets to a fall musical. On the first day of ticket sales the
school sold 8 senior citizen tickets and 6 student tickets for a total of \$96. The school took in \$81
on the second day by selling 3 senior citizen tickets and 6 student tickets. Find the price of a senior
citizen ticket and the price of a student ticket.
senior citizen ticket: \$3, student ticket: \$12
10) The sum of the digits of a certain two-digit number is 6. When you reverse its digits you decrease the
number by 54. Find the number.
60
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Worksheet by Kuta Software LLC

ID: 2
GEN102
Name___________________________________
HW No.5
Student ID________________
©L T2 70 a1w3w KK7u etkaI JSWoXfgtwwAa1rGep lL8LpCK.l L gAklDl1 ZrPiAgKhHtnsS Ar3e6slemruvVeKds.6
Solve each system by elimination.
1)  x y
 x y
2)  x y
x y
3)  x y
 x y

4)  y x

 y x
Solve each system by substitution.
5) y x
y
6)  x y
 x y
7) x y
 x y
8)  x y
 x y
9) The school that Eugene goes to is selling tickets to the annual talent show. On the first day of ticket
sales the school sold 6 adult tickets and 2 student tickets for a total of \$58. The school took in \$48
on the second day by selling 4 adult tickets and 2 student tickets. What is the price each of one adult
ticket and one student ticket?
10) The senior classes at High School A and High School B planned separate trips to the local
amusement park. The senior class at High School A rented and filled 12 vans and 10 buses with 576
students. High School B rented and filled 3 vans and 2 buses with 120 students. Every van had the
same number of students in it as did the buses. Find the number of students in each van and in each
bus.
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Worksheet by Kuta Software LLC

ID: 2
GEN102
Name___________________________________
HW No.5
Student ID________________
©p N210n1B3a oKBuAtzas 0Sxoif5tfw0a4rYea YLcLGCJ.h o IAKlxlX HrUi2gThZt7sA PrneFsaemrSvZeqdy.2
Solve each system by elimination.
1)  x y
 x y
(, )
3)  x y
 x y
(, )
2)  x y
x y
(, )

4)  y x

 y x
(, )
Solve each system by substitution.
5) y x
6)  x y
y
 x y
(, )
(, )
7) x y
8)  x y
 x y
 x y
(, )
(, )
9) The school that Eugene goes to is selling tickets to the annual talent show. On the first day of ticket
sales the school sold 6 adult tickets and 2 student tickets for a total of \$58. The school took in \$48
on the second day by selling 4 adult tickets and 2 student tickets. What is the price each of one adult
ticket and one student ticket?
adult ticket: \$5, student ticket: \$14
10) The senior classes at High School A and High School B planned separate trips to the local
amusement park. The senior class at High School A rented and filled 12 vans and 10 buses with 576
students. High School B rented and filled 3 vans and 2 buses with 120 students. Every van had the
same number of students in it as did the buses. Find the number of students in each van and in each
bus.
Van: 8, Bus: 48
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Worksheet by Kuta Software LLC

ID: 3
GEN102
Name___________________________________
HW No.5
Student ID________________
©y A2P0g1F3H TKDuttNa1 pSfoPfMt2wvalrGeX lL2LRCn.E 8 zAslsl9 WroiSgGhNtosl hrieVsceQrgvweXdG.9
Solve each system by elimination.
1)  x y
x y
2)  x y
 x y
3)  x y
 x y
4)  x y
 x y
Solve each system by substitution.
5) y x
y x
6) y
 x y
7)  x y
x y
8)  x y
 x y
9) Traveling downstream a certain boat went 10 km/h. Traveling upstream it only went 2 km/h. Find
the current and the speed of the boat if there were no current.
10) A plane traveled 1152 miles to Ankara and back. The trip there was with the wind. It took 12
hours. The trip back was into the wind. The trip back took 24 hours. What is the speed of the
plane in still air? What is the speed of the wind?
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Worksheet by Kuta Software LLC

ID: 3
GEN102
Name___________________________________
HW No.5
Student ID________________
©e i2Y0u1n3m 0KfugtOas cSWomfitWwWaGr4e1 dLsLaCg.9 D EAVlNlk WrCi6gph6tUsX orjelsgeDr6vOekdd.s
Solve each system by elimination.
1)  x y
x y
2)  x y
 x y
(, )
(, )
3)  x y
 x y
4)  x y
 x y
(, )
(, )
Solve each system by substitution.
5) y x
y x
(, )
7)  x y
x y
(, )
6) y
 x y
(, )
8)  x y
 x y
(, )
9) Traveling downstream a certain boat went 10 km/h. Traveling upstream it only went 2 km/h. Find
the current and the speed of the boat if there were no current.
Boat: 6 km/h, Current: 4 km/h
10) A plane traveled 1152 miles to Ankara and back. The trip there was with the wind. It took 12
hours. The trip back was into the wind. The trip back took 24 hours. What is the speed of the
plane in still air? What is the speed of the wind?
plane: 72 mph, wind: 24 mph
©W W2m0F1i3m NKeu6tOa6 tSjo7frtQwoalrfeG OL6LnC0.9 8 9AmlHlo vr9iygkhdtusn DrLeVsaeArmvcecdK.S 2 YMBaUdIes Gwji9tJhf hIHn3fXiHnjiWt9eA iAulUgWe1bqr3aM K1i.T
Worksheet by Kuta Software LLC

ID: 4
GEN102
Name___________________________________
HW No.5
Student ID________________
©B d2 50 q1 N3X wKPuMtLaY cSZoDfbtRw9a6rCe8 JLGLvCK.t S VAxl5lQ Nruitg8h0tUsc ZrUe0s7evrmvEeSdc.b
Solve each system by elimination.
1)  x y
x y
2)  x y
 x y
3)  x y
 x y
4)  y x
 y x
Solve each system by substitution.
5) y
y x
6)  x y
 x y
7)  x y
x y
8)  x y
 x y
9) The sum of two numbers is 9. Their difference is 1. What are the numbers?
10) The sum of the digits of a certain two-digit number is 16. Reversing its digits increases the number by
18. What is the number?
©K W25061a36 TK8uztuav KSMoVfbt0wZawrjes SLBLHCW.t O XAdlVl1 NrUiHgah6tIsw JrqeAs0errwvYebd0.X Q qM0ardFed swdi7tNhg uIUnvfSidnQiWtSea DA5lTgoeCbQrSaW 71v.T
Worksheet by Kuta Software LLC

ID: 4
GEN102
Name___________________________________
HW No.5
Student ID________________
©y 92 W0E1V3P OKUuLt4aw ISSovfpttwgalrwei 9LgLGCP.E d ZANljlS arQiAgmhNthsx ArAevs2ebrHvbemdD.C
Solve each system by elimination.
1)  x y
x y
(, )
2)  x y
 x y
(, )
3)  x y
 x y
4)  y x
 y x
(, )
(, )
Solve each system by substitution.
5) y
y x
(, )
7)  x y
x y
(, )
6)  x y
 x y
(, )
8)  x y
 x y
(, )
9) The sum of two numbers is 9. Their difference is 1. What are the numbers?
4 and 5
10) The sum of the digits of a certain two-digit number is 16. Reversing its digits increases the number by
18. What is the number?
79
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Worksheet by Kuta Software LLC

ID: 5
GEN102
Name___________________________________
HW No.5
Student ID________________
Solve each system by elimination.
1) x y
 x y
2)  x y
x y
3)  x y
 x y
4)  y x
 x y
Solve each system by substitution.
5) y x
y x
6)  x y
 x y
7)  x y
 x y
8)  x y
 x y
9) Nicole and Ashley are selling cookie dough for a school fundraiser. Customers can buy packages of
total of \$138. Ashley sold 2 packages of white chocoloate chip cookie dough and 6 packages of
gingerbread cookie dough for a total of \$122. Find the cost each of one package of white
10) Danielle and Natalie are selling pies for a school fundraiser. Customers can buy apple pies and
lemon meringue pies. Danielle sold 2 apple pies and 10 lemon meringue pies for a total of \$202.
Natalie sold 6 apple pies and 4 lemon meringue pies for a total of \$112. What is the cost each of
one apple pie and one lemon meringue pie?
©0 p210T183h 0KwuZtMab iS3oHfgtVwbaGrde5 fLYLhCc.2 b RAjlelF 6rQibgRhltasC HrlevsEe8rQvVerdi.L I hM9aAdne 1 WwLiMtyh8 TIxnPf7iCnSi3tueS DAzlcg4e sb4rda9 R1F.Y
Worksheet by Kuta Software LLC

ID: 5
GEN102
Name___________________________________
HW No.5
Student ID________________
©S M2e0q153y kKDuUtkas VSJo5fntkwXaJrreQ SLVLNCz.t B 0Aplel1 QrziTgCh3tvsm SrrebsqeOrkvbeidD.t
Solve each system by elimination.
1) x y
 x y
(, )
3)  x y
 x y
(, )
Solve each system by substitution.
2)  x y
x y
(, )
4)  y x
 x y
(, )
5) y x
6)  x y
y x
 x y
(, )
(, )
7)  x y
8)  x y
 x y
 x y
(, )
(, )
9) Nicole and Ashley are selling cookie dough for a school fundraiser. Customers can buy packages of
total of \$138. Ashley sold 2 packages of white chocoloate chip cookie dough and 6 packages of
gingerbread cookie dough for a total of \$122. Find the cost each of one package of white
10) Danielle and Natalie are selling pies for a school fundraiser. Customers can buy apple pies and
lemon meringue pies. Danielle sold 2 apple pies and 10 lemon meringue pies for a total of \$202.
Natalie sold 6 apple pies and 4 lemon meringue pies for a total of \$112. What is the cost each of
one apple pie and one lemon meringue pie?
apple pie: \$6, lemon meringue pie: \$19
©s X2Q0P1W3X qKPuptgax gSnotfRt GwZaOrOeb gLKLuC7.B y XAYlElR OrXiUgrhxtIsv 4rSe5sBeYrevIe idI.W 8 6MBaGd0e5 owMiVtLhZ mIFnhfoiXnViJtSey PAHlugee8bor4aW G17.6
Worksheet by Kuta Software LLC

ID: 6
GEN102
Name___________________________________
HW No.5
Student ID________________
©h g2 h0 y1 K31 aKguI tBaX BSRoPf2tVwyaMrUes ILVLcCQ.m a 4AClKlW frDicg2hNtwsY rraeJsmekr6vxeRdf.W
Solve each system by elimination.
1) x y
 x y
2)  x y
 x y
3)  x y
 x y
4)  y x

 x y

Solve each system by substitution.
5) y x
y x
6)  x y
y
7) x y
 x y
8)  x y
 x y
9) Sumalee and Adam each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Sumalee spent \$77 on 6 daylilies and 7 pots of ivy. Adam spent \$56
on 3 daylilies and 7 pots of ivy. What is the cost of one daylily and the cost of one pot of ivy?
10) Huong and Shawna each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Huong spent \$105 on 3 daylilies and 12 shrubs. Shawna spent \$81
on 11 daylilies and 6 shrubs. Find the cost of one daylily and the cost of one shrub.
©O h2l0u1n3J nKVuGtya5 vSeohfptQw0aJryek nLpLCCG.T 7 GAxldl1 arEi4gPhStqsx Cr6ePszeCrNv4eSdn.c G sMGaDdpeE BwPi2tahE 7IxnFfkiSnIiTtten IAOlngHe2bzrvax V1R.F
Worksheet by Kuta Software LLC

ID: 6
GEN102
Name___________________________________
HW No.5
Student ID________________
Solve each system by elimination.
1) x y
 x y
(, )
2)  x y
 x y
(, )
3)  x y
 x y
(, )
4)  y x

 x y

(, )
Solve each system by substitution.
5) y x
y x
(, )
6)  x y
y
(, )
7) x y
 x y
(, )
8)  x y
 x y
(, )
9) Sumalee and Adam each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Sumalee spent \$77 on 6 daylilies and 7 pots of ivy. Adam spent \$56
on 3 daylilies and 7 pots of ivy. What is the cost of one daylily and the cost of one pot of ivy?
daylily: \$7, pot of ivy: \$5
10) Huong and Shawna each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Huong spent \$105 on 3 daylilies and 12 shrubs. Shawna spent \$81
on 11 daylilies and 6 shrubs. Find the cost of one daylily and the cost of one shrub.
daylily: \$3, shrub: \$8
©8 o2S051p3e zKguTt2aY oSdolfXtHwSair9ee 6LYLUCy.V A jAmlSlx BrBikgShhtmsF krDecs0eVrXvJeOdN.c w 5MbapdEeC lwCiQtUhZ pImnkfQi8nWiYtIeq 1AxlTgveSbcr2af D1l.3
Worksheet by Kuta Software LLC

ID: 7
GEN102
Name___________________________________
HW No.5
Student ID________________
©O P2y041E30 UKtultSai GSEoTfHtmwfaTrheN PLELwCj.N o zA4l5lq 2r7iWgVhWtrsy Pr5e9sler rfvbekdw.n
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y


4) x y 


 y x
Solve each system by substitution.
5) y x
y
6)  x y
x y
7) y
 x y
8)  x y
 x y
9) Ted's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 8
adult tickets and 7 child tickets for a total of \$130. The school took in \$114 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?
10) The senior classes at High School A and High School B planned separate trips to New York City.
The senior class at High School A rented and filled 10 vans and 3 buses with 216 students. High
School B rented and filled 5 vans and 10 buses with 295 students. Every van had the same number
of students in it as did the buses. Find the number of students in each van and in each bus.
©b F2a091E3d AKvu6taau fSXorfAtuwSagrie U 5LuLKC6.L E zAWlXl6 jrwi6gGhEt1sI 8rze4sne8r2v4e8dW.U p AMca3dYeP ewqiKtdh1 dI6nefniWndittfe8 eAvlCgBeebVrcao 818.Q
Worksheet by Kuta Software LLC

ID: 7
GEN102
Name___________________________________
HW No.5
Student ID________________
Solve each system by elimination.
1)  x y
 x y
(, )
3)  x y
 x y
(, )
2)  x y
 x y
(, )


4) x y 


 y x
(, )
Solve each system by substitution.
5) y x
6)  x y
y
x y
(, )
(, )
7) y
8)  x y
 x y
 x y
(, )
(, )
9) Ted's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 8
adult tickets and 7 child tickets for a total of \$130. The school took in \$114 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?
adult ticket: \$4, child ticket: \$14
10) The senior classes at High School A and High School B planned separate trips to New York City.
The senior class at High School A rented and filled 10 vans and 3 buses with 216 students. High
School B rented and filled 5 vans and 10 buses with 295 students. Every van had the same number
of students in it as did the buses. Find the number of students in each van and in each bus.
Van: 15, Bus: 22
©1 u2W0U1w3n vKLuotma5 nSDo4fltRwea6rpea 4L6L3C5.C u 0AulNl7 0rliMgxhpt qsf OrkedsWeArUvJe0dB.3 e yMLaBdvep 0wEidtdhU dILntfjiandiutSeR bA5lygZeVbvrvax a1t.W
Worksheet by Kuta Software LLC

ID: 8
GEN102
Name___________________________________
HW No.5
Student ID________________
©F 02 j0r1P3s BKNuot0av 2SxoPfpt2wgaarteO VLJLmCw.D W 0A9lXlu nrxi9gOhptusc OrgeVsGeWr0vLe4dL.I
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y
4)  x y


 y x


Solve each system by substitution.
5) y x
y x
6)  x y
 x y
7)  x y
x y
8)  x y
 x y
9) Micaela's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 8
adult tickets and 1 child ticket for a total of \$126. The school took in \$28 on the second day by
selling 1 adult ticket and 1 child ticket. Find the price of an adult ticket and the price of a child ticket.
10) The sum of the digits of a certain two-digit number is 8. Reversing its digits decreases the number by
36. What is the number?
©f 22D0j1z3o fK8u0tga9 1Seobfrt6wwaZrKeX YL2LCC K.c H 1Aql7le 9rTiugkhRtRsF wrZezsLeBrfvHeydt.u O gMxaXdqen 8wbi6tfhn tIVnKfHiHnei0tKeU OADlegfeeb1rdax f1n.n
Worksheet by Kuta Software LLC

ID: 8
GEN102
Name___________________________________
HW No.5
Student ID________________
©D N2d0r1M37 TKOuttbab 7SkoxfGtvwHanrBeL GLmL7CJ.y 5 HATlQla hrripgRhBtI sb GrNezsnesrqvveXdk.l
Solve each system by elimination.
1)  x y
 x y
(, )
3)  x y
 x y
(, )
2)  x y
 x y
(, )
4)  x y


 y x


(, )
Solve each system by substitution.
5) y x
y x
(, )
7)  x y
x y
(, )
6)  x y
 x y
(, )
8)  x y
 x y
(, )
9) Micaela's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 8
adult tickets and 1 child ticket for a total of \$126. The school took in \$28 on the second day by
selling 1 adult ticket and 1 child ticket. Find the price of an adult ticket and the price of a child ticket.
adult ticket: \$14, child ticket: \$14
10) The sum of the digits of a certain two-digit number is 8. Reversing its digits decreases the number by
36. What is the number?
62
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Worksheet by Kuta Software LLC

ID: 9
GEN102
Name___________________________________
HW No.5
Student ID________________
©O h2W0v1D3y UKvustta1 HS0oNfftCwyaArWei yLMLKCC.S 8 jAQl9lG Qruicg3hXt5sW TrjecscekrzvqeYdi.F
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y
4)  x y


 x   y
 
Solve each system by substitution.
5) y x
y x
6)  x y
 x y
7) x y
 x y
8)  x y
 x y
9) The sum of two numbers is 15. Their difference is 1. Find the numbers.
10) The sum of the digits of a certain two-digit number is 3. When you reverse its digits you increase the
number by 9. What is the number?
©1 B2m0g1F3L TKwuqtlap ASlo3fIt VwSa4rlen QLyLlC9.Y F wAMl8lA Qr1iBgZh4t3sJ drpeRsxegrrvLe2dA.V l bMKaedQe4 TweigtuhF pI3nofSi2n1iktDeG vAvlrgee1bVr7aU n1R.f
Worksheet by Kuta Software LLC

ID: 9
GEN102
Name___________________________________
HW No.5
Student ID________________
©2 T2 K0w1j3A WK4u dtFat MSDoNfDtSwYa4rIew bLdLKCN.z w kA6lLlB rrriUgWhRt1sC jrgers4etrGvOeBd1.j
Solve each system by elimination.
1)  x y
 x y
(, )
3)  x y
 x y
(, )
2)  x y
 x y
(, )
4)  x y


 x   y
 
(, )
Solve each system by substitution.
5) y x
y x
6)  x y
 x y
(, )
(, )
7) x y
 x y
8)  x y
 x y
(, )
(, )
9) The sum of two numbers is 15. Their difference is 1. Find the numbers.
7 and 8
10) The sum of the digits of a certain two-digit number is 3. When you reverse its digits you increase the
number by 9. What is the number?
12
©C 52D0f1c3a 0KyuGtHaF tSOo7fotkwYagrdev bLeLOCX.0 w HA6lWl3 irOinghhut6sZ DrueLseevrUv8endo.S S 2M2aIdreW Fwnilt7hW MIFnQfaicndi6tCeb jAOlHg1etb7rWaX 51P.I
Worksheet by Kuta Software LLC

ID: 10
GEN102
Name___________________________________
HW No.5
Student ID________________
©H L210Y1h3n EKeu8tfaZ CS5o8fDtLwga7rUe6 ZLNLNCl.6 w 7AylUl6 2rxixg9hUtusJ urneas5ebrbv9e3dD.x
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y
4)  y x
 x y
Solve each system by substitution.
5) y x
y x
6) x y
 x y
7)  x y
x y
8)  x y
 x y
9) Jacob and Kristin are selling fruit for a school fundraiser. Customers can buy small boxes of
tangerines and large boxes of tangerines. Jacob sold 5 small boxes of tangerines and 5 large boxes
of tangerines for a total of \$115. Kristin sold 3 small boxes of tangerines and 5 large boxes of
tangerines for a total of \$99. What is the cost each of one small box of tangerines and one large box
of tangerines?
10) Natalie and Beth are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain
wrapping paper and rolls of shiny wrapping paper. Natalie sold 8 rolls of plain wrapping paper and
8 rolls of shiny wrapping paper for a total of \$248. Beth sold 2 rolls of plain wrapping paper and 9
rolls of shiny wrapping paper for a total of \$181. Find the cost each of one roll of plain wrapping
paper and one roll of shiny wrapping paper.
©M e2H0N1s36 BK5uTtCa1 RSDoxfstQwMa1r0eT TLaLuCA.H l VAhlZln urGi4gUh8tssQ eryeksIeCrEvkeod7.4 l XMhawdOeE UwhibtXho AIsnHfOiknSirtDer aAjlygAeIbJraaP n1y.Q
Worksheet by Kuta Software LLC

ID: 10
GEN102
Name___________________________________
HW No.5
Student ID________________
©h U2l0B1q3V sKruxt5aU jSIotfQtAwcaf reeA XLML2Cc.e M pA0lDlL VrUiTgSh9tosZ Yrnezs1eurYvGeBdE.s
Solve each system by elimination.
1)  x y
 x y
(, )
3)  x y
 x y
(, )
Solve each system by substitution.
2)  x y
 x y
(, )
4)  y x
 x y
(, )
5) y x
6) x y
y x
 x y
(, )
(, )
7)  x y
8)  x y
x y
 x y
(, )
(, )
9) Jacob and Kristin are selling fruit for a school fundraiser. Customers can buy small boxes of
tangerines and large boxes of tangerines. Jacob sold 5 small boxes of tangerines and 5 large boxes
of tangerines for a total of \$115. Kristin sold 3 small boxes of tangerines and 5 large boxes of
tangerines for a total of \$99. What is the cost each of one small box of tangerines and one large box
of tangerines?
small box of tangerines: \$8, large box of tangerines: \$15
10) Natalie and Beth are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain
wrapping paper and rolls of shiny wrapping paper. Natalie sold 8 rolls of plain wrapping paper and
8 rolls of shiny wrapping paper for a total of \$248. Beth sold 2 rolls of plain wrapping paper and 9
rolls of shiny wrapping paper for a total of \$181. Find the cost each of one roll of plain wrapping
paper and one roll of shiny wrapping paper.
roll of plain wrapping paper: \$14, roll of shiny wrapping paper: \$17
©y P2O0L1q3f cKquotiak RSQogfwtqwCa1rheq zLfLYC3.h Z EAGl0lB Grji7goh5tOsZ 9raeqsAearnvne XdM.C q wMnaDdJeg QwAittghs YICn1fpiunZitt1eN DAvlEgreHbUrUa6 X1D.l
Worksheet by Kuta Software LLC

ID: 11
GEN102
Name___________________________________
HW No.5
Student ID________________
©h 72 R0 Q1O3t vKcuCt2aL fSzogfptRwcarrQeS LLaLKCL.u z LAvlrlP JrNitgOhPtvsN srMeBsxeSrPvOexdW.Y
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y
4)  y

x

 y x
Solve each system by substitution.
5) y x
y x
6) x y
 x y
7)  x y
 x y
8)  x y
 x y
9) Stefan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 1
adult ticket and 4 child tickets for a total of \$20. The school took in \$44 on the second day by
selling 4 adult tickets and 4 child tickets. Find the price of an adult ticket and the price of a child
ticket.
10) Shreya's school is selling tickets to the annual talent show. On the first day of ticket sales the school
sold 10 adult tickets and 10 student tickets for a total of \$270. The school took in \$148 on the
second day by selling 6 adult tickets and 5 student tickets. What is the price each of one adult ticket
and one student ticket?
©I N290r1k3a jKauJt laV KSQoifYtbwParreex GLFLsCr.v B RAElOlb XrAiPgLhAtrs2 nr8eqsCeLrmvReadL.s d 8MyaYdQeO xwOiMtnhR jI6nMf0itngi4t0eg yAQlTg9eVbXrFas K1i.x
Worksheet by Kuta Software LLC

ID: 11
GEN102
Name___________________________________
HW No.5
Student ID________________
©u P2 F0 61 J3N cKOuHtRaB ZSYowfKt7wkaMr5eX 0LRLZCr.c 4 GA9lalX zrViJgyhjths4 Drle0sVeLr0vGeDd2.c
Solve each system by elimination.
1)  x y
 x y
(, )
3)  x y
 x y
(, )
2)  x y
 x y
(, )

x

 y x
(, )
4)  y
Solve each system by substitution.
5) y x
6) x y
y x
 x y
(, )
(, )
7)  x y
8)  x y
 x y
 x y
(, )
(, )
9) Stefan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 1
adult ticket and 4 child tickets for a total of \$20. The school took in \$44 on the second day by
selling 4 adult tickets and 4 child tickets. Find the price of an adult ticket and the price of a child
ticket.
adult ticket: \$8, child ticket: \$3
10) Shreya's school is selling tickets to the annual talent show. On the first day of ticket sales the school
sold 10 adult tickets and 10 student tickets for a total of \$270. The school took in \$148 on the
second day by selling 6 adult tickets and 5 student tickets. What is the price each of one adult ticket
and one student ticket?
adult ticket: \$13, student ticket: \$14
©9 02D0S1T3z XKRuqtRag USsoXfkt rwbafrje8 VLmL9CH.e P 0AxlPly erdiegWhQt7sl 2rqeJsPeEr1vseRdw.g t hMYafdzeI hwJimtWhr KI6nefTiBnSittFeJ hA9lWgXeVbNrSa V h1j.A
Worksheet by Kuta Software LLC

ID: 12
GEN102
Name___________________________________
HW No.5
Student ID________________
©C F2 n0 h1 F3 A vKQuUtwap wS8oAfstvwOaqr0er mLsLqCO.2 J tA0l5l9 Crxi3gthMt1s4 9rbetsWeurGvBeQd9.z
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y
4)  x y
 x y
Solve each system by substitution.
5) y x
y x
6)  x y
 x y
7)  x y
 x y
8)  x y
 x y
9) Kristin and Castel each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Kristin spent \$35 on 1 daylily and 4 shrubs. Castel spent \$49 on 1
daylily and 6 shrubs. Find the cost of one daylily and the cost of one shrub.
10) A plane traveled 300 miles to Paris and back. The trip there was with the wind. It took 3 hours.
The trip back was into the wind. The trip back took 6 hours. What is the speed of the plane in still
air? What is the speed of the wind?
©M W250e133a KKguMtYaT 5SLoZfHtbwga 5rKep mL3LeCU.m M FAGl9la srpiJgXhwtVse arDeMsKeHrfvzeGd7.S G qM9a1dMeM AwTi1tyhw GIZnGfWiSnpiwtre q RANlUgkeTb3rcaq U1H.j
Worksheet by Kuta Software LLC

ID: 12
GEN102
Name___________________________________
HW No.5
Student ID________________
©k D270j1y35 OKhuDtZaA AScoAfwtDw8aYrHeG mLkLlCb.o k KA5lblc WrdiagmhftTsK WrJessverrOvceNdh.A
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
(, )
(, )
3)  x y
 x y
4)  x y
 x y
(, )
(, )
Solve each system by substitution.
5) y x
y x
6)  x y
 x y
(, )
(, )
7)  x y
 x y
8)  x y
 x y
(, )
(, )
9) Kristin and Castel each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Kristin spent \$35 on 1 daylily and 4 shrubs. Castel spent \$49 on 1
daylily and 6 shrubs. Find the cost of one daylily and the cost of one shrub.
daylily: \$7, shrub: \$7
10) A plane traveled 300 miles to Paris and back. The trip there was with the wind. It took 3 hours.
The trip back was into the wind. The trip back took 6 hours. What is the speed of the plane in still
air? What is the speed of the wind?
plane: 75 mph, wind: 25 mph
©f D210d1z3D WKhugtpaV OSaocf6tKwGaOrOer xLXLuCo.Z a ZAOlAlT ArZipgchEtisZ krbeisme9rtv6eNdZ.g K SM1atdQex hwQiytDhj AITnofDiun2iBtUek 1AYlOgJeTbArXaq Y1C. U
Worksheet by Kuta Software LLC

ID: 13
GEN102
Name___________________________________
HW No.5
Student ID________________
©M U2C0l1c3U pKwuot9aN VSMohfztOwZaorAep TLNLBCr.J 9 DANl2lg QruiZgfhetFsL Mr2e7sTe9r0vbeFdU.Y
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y


4)  y x


 y x
Solve each system by substitution.
5) y x
y x
6)  x y
x y
7) x y
 x y
8) y
 x y
9) Danielle's school is selling tickets to the annual dance competition. On the first day of ticket sales the
school sold 3 senior citizen tickets and 1 student ticket for a total of \$42. The school took in \$57 on
the second day by selling 3 senior citizen tickets and 6 student tickets. Find the price of a senior
citizen ticket and the price of a student ticket.
10) The sum of the digits of a certain two-digit number is 10. Reversing its digits decreases the number
by 36. What is the number?
©s a2N031O3G NKsuKtaaG CSTopfftRwUaArheM 3LOL0CB.W e qAelNlT TrqiDgxhCt2sm drjeGsdeer0v7eJdk.1 u 5M8a8dXe7 zwHiztyhP FIbnvfCiOnuiGtHea oAelrgmeIbfrGaQ X1N.X
Worksheet by Kuta Software LLC

ID: 13
GEN102
Name___________________________________
HW No.5
Student ID________________
©3 72 b0 V1A39 wKbu7tnaP iSdotfotcw6aYrWen tLFL5Cb.l n JAMlel7 Nrfihgyhwtosx drgeHscearyvBeEde.q
Solve each system by elimination.
1)  x y
 x y
(, )
2)  x y
 x y
(, )
3)  x y
 x y
(, )


4)  y x


 y x
(, )
Solve each system by substitution.
5) y x
y x
(, )
6)  x y
x y
(, )
7) x y
 x y
(, )
8) y
 x y
(, )
9) Danielle's school is selling tickets to the annual dance competition. On the first day of ticket sales the
school sold 3 senior citizen tickets and 1 student ticket for a total of \$42. The school took in \$57 on
the second day by selling 3 senior citizen tickets and 6 student tickets. Find the price of a senior
citizen ticket and the price of a student ticket.
senior citizen ticket: \$13, student ticket: \$3
10) The sum of the digits of a certain two-digit number is 10. Reversing its digits decreases the number
by 36. What is the number?
73
©g A280k1O3Y rKUu2tIaq HSfoAfGtuwQa6rZeb vLgLnCO.1 Q 9AslRlo xrUiwgJhDtTs1 arDemsbeorlveeKdC.0 x 8MmaTdIec Qwviitzhl AI0n4f7ienkiMtmez kA6lngOeWbCrLas A1p.m
Worksheet by Kuta Software LLC

ID: 14
GEN102
Name___________________________________
HW No.5
Student ID________________
©T o2 u0 C1 63 7 wKxustHaj sS0orf4tlwTaYrYes yLSLaC5.R o vAblTls 0rPiog6hTtvsy 0reeBs5etrcv0ehdM.i
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y
4)  x y
 x y
Solve each system by substitution.
5) y x
y x
6)  x y
 x y
7)  x y
y
8)  x y
 x y
9) Traveling with the current a certain boat went 12 mph. Against the same current it only went 2 mph.
What is the speed of the current? How fast would the boat go if there were no current?
10) The school that Matt goes to is selling tickets to a play. On the first day of ticket sales the school
sold 9 adult tickets and 11 student tickets for a total of \$202. The school took in \$137 on the
second day by selling 3 adult tickets and 10 student tickets. What is the price each of one adult
ticket and one student ticket?
©Z J2V0r1K3l HKFuFtTaE qShoEfxtlwba Xrhe5 nLmL2CJ.Y L 8A9lrll JrjiRgZhGt7sq or9eHsDe1rCvjebdg.q A DM1a 7dFeo dwFiutxhR AIvntfliEnOi3tMe1 uAclegge SbKrxao R1M.e
Worksheet by Kuta Software LLC

ID: 14
GEN102
Name___________________________________
HW No.5
Student ID________________
Solve each system by elimination.
1)  x y
 x y
(, )
3)  x y
 x y
(, )
2)  x y
 x y
(, )
4)  x y
 x y
(, )
Solve each system by substitution.
5) y x
y x
(, )
6)  x y
 x y
(, )
7)  x y
y
8)  x y
 x y
(, )
(, )
9) Traveling with the current a certain boat went 12 mph. Against the same current it only went 2 mph.
What is the speed of the current? How fast would the boat go if there were no current?
Boat: 7 mph, Current: 5 mph
10) The school that Matt goes to is selling tickets to a play. On the first day of ticket sales the school
sold 9 adult tickets and 11 student tickets for a total of \$202. The school took in \$137 on the
second day by selling 3 adult tickets and 10 student tickets. What is the price each of one adult
ticket and one student ticket?
adult ticket: \$9, student ticket: \$11
©l 02c0q1b3T 6K6uktZaH IS1oxfttZwma4reeO hLmLkCA.Q 1 3AwlHlS mrjisgmhFt9sW CrneSsmeZrpvDeqdM.F Y cM Wa3dbeQ qw3iMtHhY WIVn6feisnrilt0ea dA5lWgTe4bLrYaQ U1E.5
Worksheet by Kuta Software LLC

ID: 15
GEN102
Name___________________________________
HW No.5
Student ID________________
©I B220N1b3v SK3uHtfay JSyolfPtawBaLrSea dLPL3CT.6 l tARlwl1 ArQiHglhZtxsA nrleus1eBruvNeYd7.7
Solve each system by elimination.
1)  x y
 x y
2)  x y
 x y
3)  x y
 x y
4) 


y x


 x y
Solve each system by substitution.
5) y x
y x
6)  x y
 x y
7)  x y
 x y
8)  x y
 x y
9) Jenny and Anjali each improved their yards by planting hostas and shrubs. They bought their supplies
from the same store. Jenny spent \$28 on 2 hostas and 3 shrubs. Anjali spent \$40 on 8 hostas and 3
shrubs. What is the cost of one hosta and the cost of one shrub?
10) Maria and Shreya each improved their yards by planting hostas and ivy. They bought their supplies
from the same store. Maria spent \$90 on 9 hostas and 2 pots of ivy. Shreya spent \$152 on 10
hostas and 8 pots of ivy. What is the cost of one hosta and the cost of one pot of ivy?
©X c2g0W1T3f YKVu4tgaZ wSgo7fqt8wDaXrneQ 6LeLQCS.1 b zABlDlL frGiigshptXsU JrYe7sceVrvvgeEd4.9 a 6MpaRdMei QwuiZt0h5 CIwnlf7ihnziWtEeI UAdljgWeXbSrGaj t1z.Y
Worksheet by Kuta Software LLC

ID: 15
GEN102
Name___________________________________
HW No.5
Student ID________________
©H M290H1r3s JK1uJtxaU sSGoFf8t0wlaXrRec 7LxLBC3.5 r 7A2l1lc Vr0ihgPhyt4sq lrFeusEeDrLvdejdy.Y
Solve each system by elimination.
1)  x y
 x y
(, )
3)  x y
 x y
(, )
2)  x y
 x y
(, )


y x


 x y
(, )
4) 
Solve each system by substitution.
5) y x
y x
(, )
6)  x y
 x y
(, )
7)  x y
 x y
(, )
8)  x y
 x y
(, )
9) Jenny and Anjali each improved their yards by planting hostas and shrubs. They bought their supplies
from the same store. Jenny spent \$28 on 2 hostas and 3 shrubs. Anjali spent \$40 on 8 hostas and 3
shrubs. What is the cost of one hosta and the cost of one shrub?
hosta: \$2, shrub: \$8
10) Maria and Shreya each improved their yards by planting hostas and ivy. They bought their supplies
from the same store. Maria spent \$90 on 9 hostas and 2 pots of ivy. Shreya spent \$152 on 10
hostas and 8 pots of ivy. What is the cost of one hosta and the cost of one pot of ivy?
hosta: \$8, pot of ivy: \$9
©P T2t0g133S WKBuVtnaK IS1o4fAtLwDakrMeg QLGL7CF.j F 2ASlcle crgiAgVhntysA 1rqecsLedrdvzeVdl.H D iM0aXdYex 1wNiUtBhu bI3n3fGiMnliOtFeN ZAHlSgde2bJrQaU I1v. B
Worksheet by Kuta Software LLC

ID: 16
GEN102
Name___________________________________
HW No.5
Student ID________________
©C 62 t0C113c EK6u MtcaZ 6Syo9fXtQwAa8r9eD RLr LwCZ.l u zAFlKlo Brbi4guhqtOsZ TrqerspecrUvieydE.X
Solve each system by elimination.
1)  x y
 x y
2) x y
 x y
3)  x y
 x y
4)


y x


 x y
Solve each system by substitution.
5) y x
y x
6)  x y
 x y
7)  x y
y
8)  x y
y
9) The school that Trevon goes to is selling tickets to a play. On the first day of ticket sales the school
sold 5 senior citizen tickets and 1 student ticket for a total of \$43. The school took in \$69 on the
second day by selling 5 senior citizen tickets and 3 student tickets. What is the price each of one
senior citizen ticket and one student ticket?
10) Yellowstone National Park 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 6 vans and 9 buses with 330 students. High School B rented and filled 10
vans and 3 buses with 166 students. Each van and each bus carried the same number of students.
Find the number of students in each van and in each bus.
©e M2r091A39 cKDuLtQaJ 4S4oUfUtNwWaCr1ej DL4LJCz.Z T kAMlBlb dr6iCgPhKtpsk krDersAeKrmvtegdr.C 5 HMpaBdRew Pwqigt Khk sIsnIf6i8nfiTtpeH cA4lqg3eHbIraaP q1m.3
Worksheet by Kuta Software LLC

ID: 16
GEN102
Name___________________________________
HW No.5
Student ID________________
©7 G2H0Z133L uKfu2tWay JSsoLfzttwoa1r0eb KLILbCS.3 Y 1ATl2lb PrUiUgVhttHsm ZrQepsAecr8vPeRd6.4
Solve each system by elimination.
1)  x y
 x y
(, )
3)  x y
 x y
(, )
2) x y
 x y
(, )


4) y x


 x y
(, )
Solve each system by substitution.
5) y x
6)  x y
y x
 x y
(, )
(, )
7)  x y
8)  x y
y
y
(, )
(, )
9) The school that Trevon goes to is selling tickets to a play. On the first day of ticket sales the school
sold 5 senior citizen tickets and 1 student ticket for a total of \$43. The school took in \$69 on the
second day by selling 5 senior citizen tickets and 3 student tickets. What is the price each of one
senior citizen ticket and one student ticket?
senior citizen ticket: \$6, student ticket: \$13
10) Yellowstone National Park 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 6 vans and 9 buses with 330 students. High School B rented and filled 10
vans and 3 buses with 166 students. Each van and each bus carried the same number of students.
Find the number of students in each van and in each bus.
Van: 7, Bus: 32
©3 N2o0e1m3x SKfuZtkaR CSiopfyt 6wca 9rPeW uLoLeC2.C q 1AllwlH vrMiIgohztxsT QrleFs8eTrNv1egdm.g P cM3aGdvej vwIiItkhZ SIgnvfViWnmiFt8ec 7AFlAgZeabvrraI 41Q.0
Worksheet by Kuta Software LLC
```