Algebra 1A
Name___________________________________
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Chapter 5 Review
Date________________ Period____
1) Perry and Huong are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of oatmeal cookie dough. Perry sold 6 packages of chocolate chip cookie dough and 4 packages of oatmeal cookie dough for a total of $110. Huong sold 12 packages of chocolate chip cookie dough and 9 packages of oatmeal cookie dough for a total of $234. Find the cost each of one package of chocolate chip cookie dough and one package of oatmeal cookie dough.
2) Jennifer's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $27. The school took in $132 on the second day by selling 12 senior citizen tickets and 6 child tickets. What is the price each of one senior citizen ticket and one child ticket?
3) Stefan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 adult ticket and 1 student ticket for a total of $11. The school took in $43 on the second day by selling 5 adult tickets and 3 student tickets. Find the price of an adult ticket and the price of a student ticket.
4) The school that Anjali goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 senior citizen tickets and 7 child tickets for a total of $185. The school took in $130 on the second day by selling 5 senior citizen tickets and 11 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Worksheet by Kuta Software LLC
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Solve each system by substitution. 5) y = 3x - 1 5x - 4 y = 11
6) y = -8x - 4 -24x - 3 y = 4
7) y = x - 12 y = -3x + 20
8) y = -6 y = 2x + 8
9) x + 4 y = 23 -7x + 3 y = -6
10) -x + y = 2 -8x + 5 y = -2
Solve each system by elimination. 11) -6x + 8 y = 30 6x + 6 y = 12
12) 9x - 10 y = 28 -9x + 6 y = -24
13) -x - 2 y = -9 -x + 5 y = 5
14) -10x - y = -12 -8x - y = -10
Worksheet by Kuta Software LLC
-2-
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15) 2x - 14 y = 26 9x - 7 y = 5
16) -12x - 7 y = 9 -6x - 4 y = 0
17) -x - 2 y = 0 -7x - 8 y = -6
18) 8x + 3 y = -7 4x + 12 y = 28
Sketch the graph of each linear inequality. 1 19) y ³ - x + 1 5
1 20) y ³ x + 4 2 y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Worksheet by Kuta Software LLC
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21) x + y > -1
22) 4x + y ³ 5 y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Sketch the solution to each system of inequalities. 24) y £ 2x - 3 y ³ 2x + 3
1 23) y ³ - x - 2 3 1 y>- x-3 3
y 5 4
y
3
5 2 4 1 3 -5
2
-4
-3
-2
-1
1
2
3
4
5 x
-1 1 -2 -5
-4
-3
-2
-1
1
2
3
4
5 x
-3
-1 -4 -2 -5 -3 -4 -5
Worksheet by Kuta Software LLC
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25) y < -x + 3 y<2
26) y £ x + 1 y < 4x - 2 y
-5
-4
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-4
-3
-2
-1
1 -1
-2
-2
-3
-3
-4
-4
-5
-5
27) Which of the following points are solutions to the inequalities below? Select all that apply. y < 2x + 1 y
-5
-1
B) (-1, -3) D) (2, 1)
2
3
4
5 x
28) Which of the following are solutions to the system of equations? Select all that apply. 2x + y = 7 x - 3 y = -7 A) (-2,11) B) (2,3) C) (1,-2) D) (3,-1)
Worksheet by Kuta Software LLC
-5-
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Answers to Chapter 5 Review 1) package of chocolate chip cookie dough: $9, package of oatmeal cookie dough: $14 2) senior citizen ticket: $5, child ticket: $12 3) adult ticket: $5, student ticket: $6 4) senior citizen ticket: $15, child ticket: $5 6) No solution 5) (-1, -4) ( ) ( ) ( ) 7) 8, -4 8) -7, -6 9) 3, 5 10) (4, 6) 11) (-1, 3) 12) (2, -1) 13) (5, 2) 14) (1, 2) 15) (-1, -2) 16) (-6, 9) 17) (2, -1) 18) (-2, 3) 19) 20) 21) y y y
-6
-4
6
6
6
4
4
4
2
2
2
-2
2
6 x
4
-6
-4
-2
2
6 x
4
-6
-4
-2
2
-2
-2
-2
-4
-4
-4
-6
-6
-6
22)
23)
y
24)
y
6 x
4
y
6 4
4
2
2
4 2 -6
-4
-2
2
6 x
4
-4
-2
-2
2
4
x
-4
-2
2
-2
-2
-4
-4
4
x
-4 -6
25)
26)
y
-4
4
4
2
2
-2
2
4
x
27) C
y
-4
-2
2
-2
-2
-4
-4
4
x
28) B
Worksheet by Kuta Software LLC
-6-
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