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Algebra 1
Name___________________________________ ID: 1
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Systems
Date________________ Period____
Sketch the graph of each linear inequality.
1) x y
2) x y

     
y

















 x
     
y
















 x
Sketch the solution to each system of inequalities.
3) yx

y x

4) yx
yx


y
















y












 x
 x








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Worksheet by Kuta Software LLC
Solve each system by graphing.
5) x y
x y
6) yx
yx





y















 x




y














 x
Solve each system by SUBSTITUTION.
7) yx
yx
8) yx
x y
9) x y
x y
10) x y
xy
Solve each system by ELIMINATION.
11) x y
x y
12) xy
xy
13) x y
x y
14) x y
x y
15) x y
x y
16) x y
x y
17) Huong's school is selling tickets to a choral performance. On the first day of ticket sales the
school sold 10 senior citizen tickets and 7 child tickets for a total of $107. The school took in
$173 on the second day by selling 10 senior citizen tickets and 13 child tickets. What is the price
each of one senior citizen ticket and one child ticket?
18) Find the value of two numbers if their sum is 21 and their difference is 1.
19) 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 7 vans and 13 buses with 404 students. High School B rented and filled 7 vans
and 7 buses with 266 students. Each van and each bus carried the same number of students.
How many students can a van carry? How many students can a bus carry?
20) Scott and Asanji each improved their yards by planting hostas and ivy. They bought their
supplies from the same store. Scott spent $58 on 1 hosta and 12 pots of ivy. Asanji spent $168
on 12 hostas and 12 pots of ivy. What is the cost of one hosta and the cost of one pot of ivy?
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Worksheet by Kuta Software LLC
Algebra 1
Name___________________________________ ID: 1
©[ `2d0y1S6L QKxuztHaz WSvoPfftewjaLrne^ qLpLfCr.T ^ RAMlGl\ _rPiwgjhTtvsu yrwe\sTehrMvbeKd_.
Systems
Date________________ Period____
Sketch the graph of each linear inequality.
1) x y
2) x y

y






 x
y


 x

Sketch the solution to each system of inequalities.
3) yx

y x

4) yx
yx


y
y












 x
 x


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Worksheet by Kuta Software LLC
Solve each system by graphing.
5) x y
x y
6) yx
yx





y















 x


















(, )
y
 x
No solution
Solve each system by SUBSTITUTION.
7) yx
yx
(, )
9) x y
x y
(, )
8) yx
x y
(, )
10) x y
xy
(, )
Solve each system by ELIMINATION.
(, )
11) x y
x y
12) xy No solution
xy
13) x y (, )
x y
14) x y
x y
15) x y
x y
16) x y
x y
(, )
(, )
(, )
17) Huong's school is selling tickets to a choral performance. On the first day of ticket sales the
senior citize
school sold 10 senior citizen tickets and 7 child tickets for a total of $107. The school took in
$173 on the second day by selling 10 senior citizen tickets and 13 child tickets. What is the price
each of one senior citizen ticket and one child ticket?
18) Find the value of two numbers if their sum is 21 and their difference is 1. 10 and 11
19) New York City is a popular field trip destination. This year the senior class at High School A and Van: 15, Bu
the senior class at High School B both planned trips there. The senior class at High School A
rented and filled 7 vans and 13 buses with 404 students. High School B rented and filled 7 vans
and 7 buses with 266 students. Each van and each bus carried the same number of students.
How many students can a van carry? How many students can a bus carry?
20) Scott and Asanji each improved their yards by planting hostas and ivy. They bought their
hosta: $10, po
supplies from the same store. Scott spent $58 on 1 hosta and 12 pots of ivy. Asanji spent $168
on 12 hostas and 12 pots of ivy. What is the cost of one hosta and the cost of one pot of ivy?
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Worksheet by Kuta Software LLC
Algebra 1
Name___________________________________ ID: 2
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Systems
Date________________ Period____
Sketch the graph of each linear inequality.
1) xy
2) y

     
y

















 x
     
y
















 x
Sketch the solution to each system of inequalities.

4) y x


y x

3) yx

y x






y














y

 x

















 x

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Worksheet by Kuta Software LLC
Solve each system by graphing.
5) x y
x y


6) y x


y x

y














y



 x















 x





Solve each system by SUBSTITUTION.
7) y
yx
8) x y
yx
9) xy
x y
10) xy
xy
Solve each system by ELIMINATION.
11) x y
x y
12) x y
x y
13) x y
x y
14) x y
xy
15) x y
x y
16) x y
x y
17) Beth and Jessica each improved their yards by planting grass sod and ornamental grass. They
bought their supplies from the same store. Beth spent $230 on 10 ft² of grass sod and 13 bunches
of ornamental grass. Jessica spent $180 on 5 ft² of grass sod and 13 bunches of ornamental grass.
Find the cost of one ft² of grass sod and the cost of one bunch of ornamental grass.
18) Julia and Darryl each improved their yards by planting grass sod and shrubs. They bought their
supplies from the same store. Julia spent $53 on 3 ft² of grass sod and 13 shrubs. Darryl spent
$116 on 10 ft² of grass sod and 13 shrubs. Find the cost of one ft² of grass sod and the cost of
one shrub.
19) Jasmine and Chelsea each improved their yards by planting rose bushes and geraniums. They
bought their supplies from the same store. Jasmine spent $31 on 3 rose bushes and 5 geraniums.
Chelsea spent $49 on 12 rose bushes and 5 geraniums. What is the cost of one rose bush and the
cost of one geranium?
20) Find the value of two numbers if their sum is 22 and their difference is 2.
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Worksheet by Kuta Software LLC
Algebra 1
Name___________________________________ ID: 2
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Systems
Date________________ Period____
Sketch the graph of each linear inequality.
1) xy
2) y

y

y






 x

 x


Sketch the solution to each system of inequalities.

4) y x


y x

3) yx

y x






y














y

 x

















 x

-1©^ w2g0R1e6W iKFuntjay fS[osfLt^wqaqrGeq OLMLmC\.r j yALlLly erTiLgWh[tmsl urWeOsSekrKvLeLdQ.K s eMeandLeL awxintvhQ LIlnbfoilnEiXtaeO cAzl_gQeQbJrqas o1C.
Worksheet by Kuta Software LLC
Solve each system by graphing.
5) x y
x y


6) y x


y x

y










y







 x















 x




(, )

No solution
Solve each system by SUBSTITUTION.
7) y
yx
(, )
8) x y
yx
9) xy
x y
(, )
10) xy
xy
(, )
(, )
Solve each system by ELIMINATION.
11) x y (, )
x y
12) x y
x y
(, )
13) x y (, )
x y
14) x y
xy
(, )
15) x y
x y
16) x y
x y
(, )
(, )
17) Beth and Jessica each improved their yards by planting grass sod and ornamental grass. They
ft² of grass
bought their supplies from the same store. Beth spent $230 on 10 ft² of grass sod and 13 bunches
of ornamental grass. Jessica spent $180 on 5 ft² of grass sod and 13 bunches of ornamental grass.
Find the cost of one ft² of grass sod and the cost of one bunch of ornamental grass.
18) Julia and Darryl each improved their yards by planting grass sod and shrubs. They bought their ft² of grass so
supplies from the same store. Julia spent $53 on 3 ft² of grass sod and 13 shrubs. Darryl spent
$116 on 10 ft² of grass sod and 13 shrubs. Find the cost of one ft² of grass sod and the cost of
one shrub.
19) Jasmine and Chelsea each improved their yards by planting rose bushes and geraniums. They
rose bush: $
bought their supplies from the same store. Jasmine spent $31 on 3 rose bushes and 5 geraniums.
Chelsea spent $49 on 12 rose bushes and 5 geraniums. What is the cost of one rose bush and the
cost of one geranium?
20) Find the value of two numbers if their sum is 22 and their difference is 2. 10 and 12
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Worksheet by Kuta Software LLC
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