Unit Test — Unit test Answers

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Which description of the graph of the linear inequality y > 3x – 8 is correct?

A
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.
B
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.
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 above the line.
2
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Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

A
q + d = 6 25q + 10d = 33
B
q + d = 6 0.25q + 0.1d = 33
C
q + d = 33 25q + 10d = 6
D
q + d = 33 0.25q + 0.1d = 6
3

The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5.Which solution can be used to fill in both blanks in the table?

Question illustration
A
(1, 6)
B
(6, 1)
C
(7, 6)
D
(6, 7)
4

Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x – 3

Question illustration
A
Only values that satisfy y > 3x + 1 are solutions.
B
Only values that satisfy y < 3x – 3 are solutions.
C
Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
D
There are no solutions.
5

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.Which solution can be used to fill in both blanks in the table?

Question illustration
A
(2, 5)
B
(5, 2)
C
(5, −8)
D
(−8, 5)
6

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?

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

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

Question illustration
A
(2, 3)
B
(2, 1)
C
(3, –2)
D
(–1, 3)
8

Which statements are true about the graph of the system of linear inequalities? Select two options.y > 3x – 4y < x + 1

Question illustration
A
The graph of y > 3x − 4 has shading above a dashed line.
B
The graph of y < x + 1 has shading below a dashed line.
Option B
C
The graphs of the inequalities will intersect.
D
There are no solutions to the system.
E
The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).

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