# Systems of Equations Review

```Algebra 1
Name___________________________________
&copy;V O2Q0R2v2c [KBuZtSak KScoGf^tYwgacrVef ML[LSCH.o d aACldlU ArTiVgdhwttsl Orve^sFeXrPvXeLdC.
Systems of Equations Review
Solve each system by graphing.

2) y x


y x

1) yx
yx

y







 

y







 x













 x




 x







4) xy
xy
3) xy
xy


 

y















 x





y









-1&copy;Q X2b0u2n2p yKauhtXa] hSvoYfhtHwfaardec yLcLiCi.B F ]Apldl\ FrdiMgJhgtbsU wrJebsOeWrdv\etdd.m a wMEardheR XwBiYtKhe aIRnyfKianAiGtSe` pABlRgaePbxrBaJ B1O.
Worksheet by Kuta Software LLC
Honors: Solve each system by graphing.
5)  yx
yx
6) xy
 yx


 

y















 x




y














 x
Sketch the solution to each system of inequalities. State one point that is a solution.
7) yx
yx
8) yx
yx


 

y















 x





y













-2&copy;B ]2]0e2_2a kKzuVtra[ eSmoyfDtmwqawrJeS ]LELkCf.r b vAGlwlW CrhiMgZhRtAs^ srPeMsMesrOvteXdU.m Z pMeaTdheM Zw\iztnhs WIHnxfpiQngiJtGel EAoldgkeabnrfaM [1S.
 x
Worksheet by Kuta Software LLC
Honors: Sketch the solution to each system of inequalities. State one point that is a solution.
9) xy
xy
10) xy
xy


 

y















 x




y














 x
Solve each system.
11) yx
yx
12) xy
xy
13) xy
yx
14) xy
xy
-3&copy;A i2n0x2b2f wKdudtOax ESboCfBtkwaairNep AL_LACw.E f rAnlMlZ ZrcimgShdtzsg mrNe^sXelrbvrebd_.Q C cM[andqeU TwuizthhB TImnOfzipnfintfeF `AXlXggewbsrPaO C1\.
Worksheet by Kuta Software LLC
15) xy
xy
16) xy
xy
17) yx
yx
18) xy
yx
19) xy
xy
20) xy
xy
-4&copy;X T2v0E2X2S jKvuvtmaH ASToffxtLwBaUrHeP LLvLzCv.S H RAKlblv PrWiUg^hhtUso IrieQsFe_rrvmefdu.] C kMuazddeD Fw]iDtTha QIanBfmiynPiBtAev qA^lzgpe^bdrzaw q1d.
Worksheet by Kuta Software LLC
Honors: Solve each system.
21) yx


 x y


22) x y
yx


23)  y x


 yx

24)  x y


x y

-5&copy;^ L2\0M2D2^ UKruFttaO QSiokf^t[w`a^raeG yL^LLCq.B v ZAWltl] QrSiTgjhrtos\ HrNehsjeyrjvAeNdv.g R NMra[dXeV cwNimtmha `ILnrfriOnZiit]eL hAcligFeObPrLaK X1i.
Worksheet by Kuta Software LLC
25) The senior classes at High School A and High School B planned separate trips to the indoor
climbing gym. The senior class at High School A rented and filled 6 vans and 6 buses with 162
students. High School B rented and filled 11 vans and 3 buses with 129 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.
26) Jenny and Kristin each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Jenny spent \$196 on 7 daylilies and 14 shrubs. Kristin spent \$172
on 14 daylilies and 6 shrubs. Find the cost of one daylily and the cost of one shrub.
27) Frida has \$500 saved. She earns \$25 a day. Gerald has \$300 saved. He earns \$45 a day. Write and
solve a system of equations to determine when they will have the same amount of money. How
much money will they each have at that time?
-6&copy;R o2Y0V2l2n eKNuetrai LSGosfCt[wgaJrGeQ gLFLJCq.S v kAWlplE TrgifgohStrss CrdeVsReHravgendR.o E nM^aIdIeO uw`i[tPhw pIGnwf_ipn_iDtpex uAalTgJe\berXav y1[.
Worksheet by Kuta Software LLC
Answers to Systems of Equations Review
1) (, )
5) (, )
2) (, )
6) (, )
3) (, )
7)

4) (, )
y

x

8)
9)
y
10)
y
y




x




x
x


11)
15)
19)
22)
25)

(, )
(, )
(, )
12) (, )
13) (, )
16) (, )
17) (, )
20) (, )
21) (, )
Infinite number of solutions
(
)
23) , 
24) (, )
Van: 6, Bus: 21
26) daylily: \$8, shrub: \$10
27)
14) (, )
18) (, )
-7&copy;J Z2H0]2x2k oKCuctKai OS[opfxtSwPaor^er CLsLSCz._ L OAtlzlk OruibgyhptLsQ hrHe]sme]revHeyd^.l f lMSatdcew EwHiCtxha QIgn^fbiGndiTtXeU hA^lPg]ezbirpaQ J1F.
Worksheet by Kuta Software LLC
```