CC Math II

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U3 - Systems of Linear Equations: Word Problems and Review Date________________ Solve each system by graphing. 2 x+8 7 2 y=- x+4 7

1) y =

3 x-9 4 13 y= x+7 4

2 x-6 5 12 y= x+8 5

2) y = -

3 x+8 8 3 y= x+2 8

3) y = -

4) y =

5) y = x + 3 y = -x + 1

6) y = - x + 5 y = - 15 x - 9

Solve each system by substitution. 7) y = - 3 y = -2 x - 9

8) y = 4 y = - 3 x + 10

9) y = x y = -3 x - 4

10) y = 2 x + 2 y = 4x + 6

11) 5 x + 8 y = 18 x - 3 y = - 24

12) x + 2 y = 9 - 2 x - 4 y = - 18

13) - 3 x + 4 y = - 19 x + 4y = 1

14) x - 2 y = - 7 2 x - 7 y = - 14

Solve each system by elimination. 15) - 9 x - 3 y = - 15 18 x + 6 y = 30

16) - 4 x + 4 y = 4 - 8 x + 12 y = 8

17) 20 x + 14 y = 20 - 10 x - 7 y = - 10

18) 6 x + y = 7 12 x + 4 y = 4

19) 4 x + 5 y = 10 8 x + 10 y = 20

20) 12 x + 6 y = - 12 3 x - 10 y = - 26

21) - 7 x - 8 y = - 15 5 x - 16 y = - 11

22) 14 x + 2 y = - 20 - 7 x + 3 y = 26 Worksheet by Kuta Software LLC

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Solve the word problems below 23) W hen you reverse the digits in a certain two-digit number you decrease its value by 63. Find the number if the sum of its digits is 7. 24) Stephanie and Kristin are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Stephanie sold 5 cherry pies and 10 pumpkin pies for a total of $125. Kristin sold 3 cherry pies and 5 pumpkin pies for a total of $66. W hat is the cost each of one cherry pie and one pumpkin pie? 25) The school that Trevon goes to is selling tickets to a play. On the first day of ticket sales the school sold 12 adult tickets and 5 child tickets for a total of $120. The school took in $82 on the second day by selling 2 adult tickets and 6 child tickets. W hat is the price each of one adult ticket and one child ticket? 26) A boat traveled 198 miles downstream and back. The trip downstream took 11 hours. The trip back took 33 hours. W hat is the speed of the boat in still water? W hat is the speed of the current? 27) Jimmy's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 10 senior citizen tickets and 3 student tickets for a total of $177. The school took in $138 on the second day by selling 2 senior citizen tickets and 12 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. 28) Dan and Mary each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Dan spent $174 on 6 rose bushes and 9 geraniums. Mary spent $204 on 12 rose bushes and 6 geraniums. W hat is the cost of one rose bush and the cost of one geranium? 29) The sum of the digits of a certain two-digit number is 17. W hen you reverse its digits you decrease the number by 9. Find the number. 30) Carlos and Adam are selling cookie dough for a school fundraiser. Customers can buy packages of white chocoloate chip cookie dough and packages of gingerbread cookie dough. Carlos sold 5 packages of white chocoloate chip cookie dough and 7 packages of gingerbread cookie dough for a total of $128. Adam sold 10 packages of white chocoloate chip cookie dough and 5 packages of gingerbread cookie dough for a total of $130. W hat is the cost each of one package of white chocoloate chip cookie dough and one package of gingerbread cookie dough? 31) Kim and Mark are selling cheesecakes for a school fundraiser. Customers can buy New York style cheesecakes and apple cheesecakes. Kim sold 9 New York style cheesecakes and 1 apple cheesecake for a total of $124. Mark sold 3 New York style cheesecakes and 8 apple cheesecakes for a total of $164. Find the cost each of one New York style cheesecake and one apple cheesecake. 32) Eugene and DeShawn are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Eugene sold 12 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $117. DeShawn sold 10 rolls of plain wrapping paper and 9 rolls of holiday wrapping paper for a total of $221. Find the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper. Worksheet by Kuta Software LLC

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