AnswersMathematics ISystems of Equations and Inequalities

Practice Test Answers

18 verified answers1 views
1
Free Preview

Which symbol could be written in both circles in order to represent this system algebraically? y circle x y circle negative x

A
is greater than or equal to
B
is less than
C
is greater than
D
is less than or equal to
2
Free Preview

Which system of equations will also have a solution of 2 comma 0 ?

A
6 x minus 4 y is equal to 6; 2 x plus 8 y is equal to 2
B
6 x minus 4 y is equal to 6; x plus 4 y is equal to 2
C
x plus 4 y is equal to 2; 7 x is equal to 14
D
6 x minus 4 y is equal to 6; 7 x is equal to 14
3

Which ordered pairs are in the solution set of the system of linear inequalities? y is greater than or equal to negative 1 third x plus 2 y is less than 2 x plus 3

A
2 comma 2 , 1 comma negative 2 , 0 comma 2
B
2 comma 2 , 3 comma negative 1 , 4 comma 1
C
2 comma 2 , 1 comma 2 , 2 comma 0
D
2 comma 2 , 3 comma 1 , 4 comma 2
4

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 infinite solutions; therefore, the system of equation has infinite solutions.
C
The equation has a solution at 0 comma 0 ; therefore, the system of equations has a solution at 0 comma 0 .
D
The equation has a solution at 0 comma 60 ; therefore, the system of equations has a solution at 0 comma 60 .
5

What is the maximum number of student tickets that can be sold if the drama club meets its sales goal?

A
100
B
60
C
40
D
80
6

Which linear inequality is represented by the graph?

A
y is less than 2 thirds x plus 2
B
y is less than 2 thirds x minus 1
C
y is greater than 2 thirds x plus 1
D
y is greater than 2 thirds x minus 2
7

The table can be used to determine the solution to the system of equations, 2 y minus x is equal to 8 and y minus 2 x is equal to negative 5 Original System Equivalent System Sum of Equations in Equivalent System Solution to System New System using Sum Solution to New System 2 y minus x is equal to 8; y minus 2 x is equal to negative 5 2 y minus x is equal to 8; negative 2 y plus 4 x is equal to 10 3 x is equal to 18 2 y minus x is equal to 8; 3 x is equal to 18 Which solution can be used to fill in both blanks in the table?

A
6 comma 1
B
6 comma 7
C
7 comma 6
D
1 comma 6
8

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 amount of money earned per day
B
the number of times he opened the store
C
the number of hours worked per week
D
the total amount he earns each week
9

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

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 weeks the bird feeders are filled
B
the total cost to fill the rectangular bird feeder after any number of weeks
C
the number of bird feeders purchased each week
D
the total cost to fill the cylindrical bird feeder after any number of weeks
11

Which point is a solution to the linear inequality y is less than negative 1 half x plus 2 ?

A
2 comma 3
B
3 comma negative 2
C
negative 1 comma 3
D
2 comma 1
12

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 2 dollars to wrap a gift with no bow and 3 dollars to wrap a gift with a bow.
C
The team charged 1 dollars to wrap a gift with no bow and 2 dollars to wrap a gift with a bow.
D
The team charged 4 dollars to wrap a gift with no bow and 5 dollars to wrap a gift with a bow.
13

If Sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section?

A
8
B
1
C
2
D
7
14

Which linear inequality is graphed with y is greater than negative x minus 2 to create the given solution set?

A
y is greater than x minus 1
B
y is less than x minus 1
C
y is greater than x plus 1
D
y is less than x plus 1
15

What is the solution to the system of equations?

A
negative 2 comma 2
B
0 comma 3
C
1 comma 0
D
0 comma 0 point 6 7
16

If Ori uses all 3 of the 0 point 44 dollars cent stamps he has, what is the minimum number of 0 point 10 dollars stamps he needs to use?

A
2
B
1
C
5
D
3
17

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
1 point 3 comma 0 point 8 8
B
0 point 4 5 comma 0 point 8 8
C
0 point 8 8 comma 1 point 1
D
0 point 8 8 comma 0 point 6 5
18

If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? Round to the nearest dollar if necessary.

A
14
B
4
C
24
D
3

Did you find these answers helpful?

More from this Course

practice test
19 verified answers

Practice Test

practice test
14 verified answers

Practice Test

practice test
14 verified answers

Practice Test