AnswersAlgebra ISystems of Equations

Practice Test Answers

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1
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Which is the best approximation for the solution of the system of equations? y is equal to negative 2 fifths x plus 1 y is equal to 3 x minus 2

A
0 point 4 5 comma 0 point 8 8
B
0 point 8 8 comma 1 point 1
C
0 point 8 8 comma 0 point 6 5
D
1 point 3 comma 0 point 8 8
2
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What is the solution to the system of equations?

A
1 comma 0
B
0 comma 3
C
0 comma 0 point 6 7
D
negative 2 comma 2
3

What is the solution to the system of equations? y is equal to 2 x minus 3 point 5 x minus 2 y is equal to negative 14

A
negative 7 comma 3 point 5
B
7 comma 10 point 5
C
10 point 5 comma 7
D
3 point 5 comma negative 7
4

Tickets to the school play cost $⁢8 for regular tickets and $⁢5 for student tickets. The number of regular tickets sold for Friday’s show was 10 more than half the number of student tickets sold. If $⁢296 was collected from ticket sales for Friday’s show, how many student tickets were sold?

Answer:

24

5

At his new job, Jeremiah can choose an hourly rate of 9 dollars plus a 50 dollars weekly bonus for opening the store, or an hourly rate of 10 dollars per hour with no opening bonus. The equations model his salary options. y is equal to 9 x plus 50 y is equal to 10 x What does x represent?

A
the number of times he opened the store
B
the total amount he earns each week
C
the amount of money earned per day
D
the number of hours worked per week
6

A rectangular bird feeder costs 18 point 00 dollars A cylindrical bird feeder costs 24 point 00 dollars The expected cost to keep the rectangular bird feeder filled is 3 point 00 dollars per week. The expected cost to keep the cylindrical bird feeder filled is 2 point 00 dollars per week. The equation models the break-even point. 18 plus 3 x is equal to 24 plus 2 x What does x represent?

A
the number of bird feeders purchased each week
B
the total cost to fill the rectangular bird feeder after any number of weeks
C
the number of weeks the bird feeders are filled
D
the total cost to fill the cylindrical bird feeder after any number of weeks
7

After applying the linear combination method, Heather arrived at the equation 0 is equal to 60 What conclusion can be drawn about the system of equations?

A
The equation has no solution; therefore, the system of equations has no solution.
B
The equation has a solution at 0 comma 0 ; therefore, the system of equations has a solution at 0 comma 0 .
C
The equation has infinite solutions; therefore, the system of equation has infinite solutions.
D
The equation has a solution at 0 comma 60 ; therefore, the system of equations has a solution at 0 comma 60 .
8

Which statement describes the amounts the team charged for wrapping gifts?

A
The team charged 3 dollars to wrap a gift with no bow and 4 dollars to wrap a gift with a bow.
B
The team charged 1 dollars to wrap a gift with no bow and 2 dollars to wrap a gift with a bow.
C
The team charged 4 dollars to wrap a gift with no bow and 5 dollars to wrap a gift with a bow.
D
The team charged 2 dollars to wrap a gift with no bow and 3 dollars to wrap a gift with a bow.

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