Algebra 1
Name___________________________________
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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









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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













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 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
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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
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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

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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?
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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) (, )
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Worksheet by Kuta Software LLC