Algebra 1 Academic
Name___________________________________
Final Exam Review # 3
Date________________ Period____
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Solve each system by elimination.
1) 5 x − 9 y = −26
10 x − 3 y = 8
2) 9 x − 5 y = 1
−3 x − 10 y = 23
3) 2 x − 6 y = −4
−6 x + 12 y = 24
4) −8 x + y = −12
−16 x − 10 y = 24
5) −4 x + 2 y = 2
6 x − 12 y = 6
6) 9 x + 8 y = −7
−10 x − 16 y = 22
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Worksheet by Kuta Software LLC
7) 9 x − 8 y = −9
−18 x + 7 y = 18
8) 5 x − 10 y = 5
15 x + 4 y = −19
Solve each system by graphing.
9) y = 4 x − 4
y=x+2
10) y = −3 x + 4
1
y=− x−1
2
2
11) y = − x + 2
3
7
y=− x−3
3
8
12) y = − x − 4
3
1
y=− x+3
3
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Worksheet by Kuta Software LLC
5
x−4
3
y = −x + 4
13) y =
14) y = −6 x + 3
y = −x − 2
Solve each system by substitution.
15) −3 x + 4 y = −8
4 x + y = 17
16) x + y = −7
8 x − y = −20
17) −7 x + y = −5
14 x − 2 y = −7
18) 5 x + y = 10
−5 x − 4 y = −10
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19) −4 x − 2 y = 18
x − 2 y = 13
20) 6 x + 3 y = 12
x + 3 y = 22
21) x + 2 y = −15
−5 x + 4 y = −23
22) 2 x − 3 y = 20
−2 x + y = −12
23) Jenny and Kim are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs
and bags of daffodil bulbs. Jenny sold 5 bags of windflower bulbs and 7 bags of daffodil bulbs for a total of
$186. Kim sold 7 bags of windflower bulbs and 14 bags of daffodil bulbs for a total of $336. Find the cost
each of one bag of windflower bulbs and one bag of daffodil bulbs.
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24) Ted and Jenny are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and
apple cheesecakes. Ted sold 10 pecan cheesecakes and 8 apple cheesecakes for a total of $232. Jenny sold
2 pecan cheesecakes and 9 apple cheesecakes for a total of $187. What is the cost each of one pecan
cheesecake and one apple cheesecake?
25) Mofor and Jessica are selling cheesecakes for a school fundraiser. Customers can buy New York style
cheesecakes and strawberry cheesecakes. Mofor sold 7 New York style cheesecakes and 14 strawberry
cheesecakes for a total of $161. Jessica sold 14 New York style cheesecakes and 9 strawberry cheesecakes
for a total of $151. Find the cost each of one New York style cheesecake and one strawberry cheesecake.
26) Shawna and Julia are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs
and bags of daffodil bulbs. Shawna sold 10 packages of tulip bulbs and 8 bags of daffodil bulbs for a total of
$98. Julia sold 5 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $97. What is the cost each
of one package of tulips bulbs and one bag of daffodil bulbs?
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27) Jill and Julio are selling cookie dough for a school fundraiser. Customers can buy packages of white chocoloate
chip cookie dough and packages of double chocolate cookie dough. Jill sold 3 packages of white chocoloate
chip cookie dough and 12 packages of double chocolate cookie dough for a total of $264. Julio sold 13
packages of white chocoloate chip cookie dough and 6 packages of double chocolate cookie dough for a total
of $270. Find the cost each of one package of white chocoloate chip cookie dough and one package of double
chocolate cookie dough.
28) Joe and Jack are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large
boxes of tangerines. Joe sold 8 small boxes of tangerines and 12 large boxes of tangerines for a total of $312.
Jack sold 2 small boxes of tangerines and 2 large boxes of tangerines for a total of $58. What is the cost each
of one small box of tangerines and one large box of tangerines?
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