Deck 4: Systems of Linear Equations
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Deck 4: Systems of Linear Equations
1
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


2
Solve the system of linear equations by graphing. 
A)
B)
C)
D)

A)

B)

C)

D)


3
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


4
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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5
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Solve the system of linear equations by elimination. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
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Unlock Deck
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7
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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9
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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10
Jane is deciding between two sales positions. She can work for Marcy s and receive
per hour or for Gigi s, where she earns
per hour but also receives a $30 commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs.
. From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions?
. If Jane expects to work less than
hours a week, which job should she choose?
. If Jane expects to work more than
hours a week, which job should she choose?
A)
.
hours
. Gigi s
. Marcy s
B)
.
hours
. Gigi s
. Marcy s
C)
.
hours
. Marcy s
. Gigi s
D)
.
hours
. Marcy s
. Gigi s
E)
.
hours
. Gigi s
. Marcy s








A)




B)




C)




D)




E)




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11
Solve the system of linear equations by graphing. 
A)
B)
C)
D)

A)

B)

C)

D)

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12
Solve the system of linear equations by graphing. 
A)
B)
C)
D)

A)

B)

C)

D)

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13
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
Solve the system of linear equations by graphing. 
A)
B)
C)
D)

A)

B)

C)

D)

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Unlock Deck
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15
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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16
Solve the system of linear equations by elimination. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
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17
Solve the system of linear equations by graphing. 
A)
B)
C)
D)

A)

B)

C)

D)

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18
Jane is deciding between two sales positions. She can work for Marcy s and receive
per hour or for Gigi s, where she earns
per hour but also receives a
commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs.
From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than
hours a week, which job should she choose - Gigi s or Marcy s? __________ If Jane expects to work more than
hours a week, which job should she choose - Gigi s or Marcy s? __________






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19
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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20
Solve the system of linear equations by graphing. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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21
Solve the system of linear equations by elimination. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
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Unlock Deck
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22
Solve the system of linear equations by elimination. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
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Unlock Deck
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23
Solve the system of linear equations by the elimination method. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
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Unlock Deck
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24
Solve the system by eliminating the
variable. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.


A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
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Unlock Deck
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25
Solve the system of linear equations by the elimination method. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
26
Solve the system of linear equations by the elimination method. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
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27
Solve the system of linear equations by the elimination method. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
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28
Solve the system of linear equations by the elimination method. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
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29
Solve the system by eliminating the
variable. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.


A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
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Unlock Deck
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30
Solve the system by eliminating the
variable. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.


A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
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Unlock Deck
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31
Solve the system of linear equations by elimination.
If the system is dependent or inconsistent , indicate this.

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32
Solve the system by eliminating the
variable. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.


A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
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33
Solve the system of linear equations by elimination. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
34
Solve the system by eliminating the
variable. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.


A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
35
Solve the system of linear equations by elimination.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
36
Multiply both sides of the bottom equation by 100 and then solve by the elimination method. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
37
Solve the system of linear equations by the elimination method. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
38
Solve the system of linear equations by the elimination method. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
39
Solve the system by eliminating the
variable. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.


A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
40
Solve the system of linear equations by the elimination method. 
A)
B)
C)
D)The lines are parallel.
E)The lines coincide.

A)

B)

C)

D)The lines are parallel.

E)The lines coincide.
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
41
Multiply both sides of the bottom equation by 100 and then solve by the elimination method.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
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42
Solve the system of linear equations by the elimination method.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
43
Solve the system by eliminating the
variable.
If the system is dependent or inconsistent , indicate this.


Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
44
Solve the system by eliminating the
variable.
If the system is dependent or inconsistent , indicate this.


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Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
45
Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
Unlock Deck
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46
Solve the system by eliminating the
variable.
If the system is dependent or inconsistent , indicate this.


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Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
47
Solve the system of linear equations by the elimination method.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
48
Solve the system of linear equations by the elimination method.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
49
Solve the system of linear equations by the elimination method.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
50
Solve the system of linear equations by the elimination method.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
51
Solve the system by eliminating the
variable.
If the system is dependent or inconsistent , indicate this.


Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
52
Solve the system of linear equations by the elimination method.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
53
Solve the system of linear equations by elimination.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
54
Solve the system of linear equations by elimination.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
55
Solve the system by eliminating the
variable.
If the system is dependent or inconsistent , indicate this.


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Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
56
Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve. 
A)
B)
C)
D)
E)no solution

A)

B)

C)

D)

E)no solution
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Unlock for access to all 135 flashcards in this deck.
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57
Solve the system of linear equations by the elimination method.
If the system is dependent or inconsistent , indicate this.

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Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
58
Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
59
Solve the system of linear equations by elimination.
If the system is dependent or inconsistent , indicate this.

Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
60
Solve the system of linear equations by the elimination method.
If the system is dependent or inconsistent , indicate this.

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Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
61
Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
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Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
62
Solve the system using the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
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Unlock Deck
k this deck
63
Solve the system using the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
64
Solve the system using the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
65
Solve the system using the substitution method.
If the system is dependent or inconsistent , or if there is no solution , indicate this.

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Unlock Deck
k this deck
66
Solve the system by solving one of the equations for
or
and then use the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution



A)

B)

C)

D)dependent
E)no solution
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Unlock Deck
k this deck
67
Solve the system using the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
68
Solve the system by substitution.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
69
Solve the system using the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
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Unlock Deck
k this deck
70
Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him
a month in loan payments, and it gets
miles per gallon in gas mileage. The car will cost
a month in loan payments, but it gets
miles per gallon in gas mileage. Daniel estimates that he will pay
per gallon for gas. This means that the monthly cost to drive the truck
miles will be
The total monthly cost to drive the car
miles will be
. The following figure shows the graph of each equation.
At how many miles do the car and the truck cost the same to operate? __________ miles










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71
Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent.
E)no solution

A)

B)

C)

D)dependent.
E)no solution
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
72
Daniel is trying to decide whether to buy a car or a truck. The truck he is considering will cost him
a month in loan payments, and it gets
miles per gallon in gas mileage. The car will cost
a month in loan payments, but it gets
miles per gallon in gas mileage. Daniel estimates that he will pay
per gallon for gas. This means that the monthly cost to drive the truck
miles will be
The total monthly cost to drive the car
miles will be
The following figure shows the graph of each equation.
At how many miles do the car and the truck cost the same to operate?
A)
B)
C)
D)
E)










A)

B)

C)

D)

E)

Unlock Deck
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73
Solve the system using the substitution method.
If the system is dependent or inconsistent , or if there is no solution , indicate this.

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Unlock Deck
k this deck
74
Solve the system by solving one of the equations for
or
and then use the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution



A)

B)

C)

D)dependent
E)no solution
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
75
Solve the system using the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
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Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
76
Solve the system by solving one of the equations for
or
and then use the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution



A)

B)

C)

D)dependent
E)no solution
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
77
Solve the system by solving one of the equations for
or
and then use the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution



A)

B)

C)

D)dependent
E)no solution
Unlock Deck
Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
78
Solve the system using the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution

A)

B)

C)

D)dependent
E)no solution
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Unlock for access to all 135 flashcards in this deck.
Unlock Deck
k this deck
79
Solve the system by solving one of the equations for
or
and then use the substitution method.
If the lines coincide, answer dependent . If the lines are parallel, answer no solution .
A)
B)
C)
D)dependent
E)no solution



A)

B)

C)

D)dependent
E)no solution
Unlock Deck
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80
Solve the system by solving one of the equations for
or
and then use the substitution method.
If the system is dependent or inconsistent , or if there is no solution , indicate this.



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Unlock Deck
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