AnswersAlgebra ISystems of Equations and Inequalities

Practice Test Answers

16 verified answers
1
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What is the solution to the system of equations?

A
1 comma 0
B
0 comma 0 point 6 7
C
0 comma 3
D
negative 2 comma 2
2
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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
1 point 3 comma 0 point 8 8
B
0 point 4 5 comma 0 point 8 8
C
0 point 8 8 comma 0 point 6 5
D
0 point 8 8 comma 1 point 1
3

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

A
is less than
B
is greater than or equal to
C
is greater than
D
is less than or equal to
4

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

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

The table can be used to determine the solution to the system of equations, 2 x minus 2 y is equal to 6 and 4 x plus 4 y is equal to 28 Original System Equivalent System Sum of Equations in Equivalent System Solution to System New System using Sum Solution to New System 2 x minus 2 y is equal 6; 4 x plus 4 y is equal to 28 4 x minus 4 y is equal 12; 4 x plus 4 y is equal to 28 8 x is equal to 40 4 x plus 4 y is equal to 28; 8 x is equal to 40 Which solution can be used to fill in both blanks in the table?

A
2 comma 5
B
negative 8 comma 5
C
5 comma negative 8
D
5 comma 2
6

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
7 comma 6
B
6 comma 1
C
6 comma 7
D
1 comma 6
7

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for 3 dollars , and each cheeseburger sells for 3 point 50 dollars Which system of inequalities represents the number of hamburgers, h , and the number of cheeseburgers, c , he must sell to have sales of at least 80 dollars ?

A
h plus c is less than or equal to 100 3 h plus 3 point 5 c is greater than or equal to 80
B
h plus c is less than or equal to 100 3 h plus 3 point 5 c is less than or equal to 80
C
h plus c is less than or equal to 80 3 h plus 3 point 5 c is greater than or equal to 100
D
h plus c is less than or equal to 80 3 h plus 3 point 5 c is less than or equal to 100
8

A ride at an amusement park has two options for cars, one that holds 6 passengers and one that holds 3 passengers. If the ride designer wants to make sure that each run holds at least 12 passengers, which graph represents the overall equation and shows the possible combinations of the number of 6 -passenger cars, x , and the number of 3 -passenger cars y ? (Not all points may apply to the scenario.)

A
Image with description A coordinate plane with a solid line. The x and y axes are labeled from negative 5 to 5 in increments of 1. The solid line passes through the points 0 comma 4 and 2 comma 0. The region above and to the right of the line is shaded.
B
Image with description A coordinate plane with a solid straight line and a shaded region. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The line has a negative slope and passes through the points 0 comma 4 and 2 comma 0. The region to the left of the line is shaded.
C
Image with description A coordinate plane with a straight line of negative slope and a shaded region. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The line extends from the upper-left area of the plane near negative 4 comma 4 to the lower-right area near 4 comma 1, passing through the upper-center portion of the plane. The region above the line is shaded.
D
Image with description A coordinate plane with a solid straight line and a shaded region. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The line has a negative slope and passes through the points 0 comma 4 and 2 comma 0. The region to the right of the line is shaded.
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
7 comma 10 point 5
B
3 point 5 comma negative 7
C
10 point 5 comma 7
D
negative 7 comma 3 point 5
10

Which statements are true about the graph of the system of linear inequalities? Choose two correct answers. y is greater than 3 x minus 4 y is less than or equal to 1 half x plus 1

A
The graph of y is less than or equal to 1 half x plus 1 has shading below a dashed line.
B
The graph of y is greater than 3 x minus 4 has shading above a dashed line.
C
There are no solutions to the system.
D
The graphs of the two inequalities intersect the y -axis at 0 comma 1 and 0 comma 4 .
E
The graphs of the inequalities will intersect.
11

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? dollar [Blank 1]

Answer:

24

12

Which description of the graph of the linear inequality y is greater than 3 x minus 8 is correct?

A
The graph will be a solid line with a y -intercept of three and a slope of negative eight. The graph will be shaded above the line.
B
The graph will be a dashed line with a y -intercept of negative eight and a slope of three. The graph will be shaded above the line.
C
The graph will be a solid line with a y -intercept of three and a slope of negative eight. The graph will be shaded below the line.
D
The graph will be a dashed line with a y -intercept of negative eight and a slope of three. The graph will be shaded below the line.
13

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 a solution at 0 comma 60 ; therefore, the system of equations has a solution at 0 comma 60 .
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 no solution; therefore, the system of equations has no solution.
14

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
15

Which linear inequality is represented by the graph?

A
y is less than 2 thirds x minus 1
B
y is greater than 2 thirds x minus 2
C
y is less than 2 thirds x plus 2
D
y is greater than 2 thirds x plus 1
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
3
B
1
C
2
D
5

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Practice Test Answers — Algebra I