Unit Test — Unit test Answers

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Which is the best approximation for the solution of the system of equations?y = x + 1y = 3x – 2

Question illustration
A
(0.45, 0.88)
B
(0.88, 0.65)
C
(0.88, 1.1)
D
(1.3, 0.88)
3
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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
4

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).
5

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.

Question illustration
A
y > x – 2
Option A
B
y < x + 2
Option B
C
y > x + 1
Option C
D
y < x – 1
Option D
6

What is the y-value in the solution to this system of linear equations?4x + 5y = −12-2x + 3y = −16

A
−4
B
−2
C
2
D
5
7

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
8

Lukas graphed the system of equations shown.2x + 3y = 2y = x + 3What is the solution to the system of equations?

Question illustration
A
(–2, 2)
B
(0, 0.67)
C
(0, 3)
D
(1, 0)
9

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)
10

What is the solution to the system of equations?y = 2x – 3.5x – 2y = –14

A
(–7, 3.5)
B
(3.5, –7)
C
(7, 10.5)
D
(10.5, 7)
11

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

A
y = 2x + 6
B
y = 4x + 6
C
–y = –2x – 3
D
–y = –4x + 6
12

Which statements about the system are true? Select two options.y = x – 43y – x = –7

Question illustration
A
The system has one solution.
B
The system consists of parallel lines.
C
Both lines have the same slope.
D
Both lines have the same y–intercept.
E
The equations represent the same line.
13

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.
14

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.Shop Shawn used: y=10+3.5xShop Dorian used: y=6x

A
3
B
4
C
14
D
24
15

y = 5x + 23x = –y + 10

A
(–4, –18)
B
(–18, –4)
C
(7, 1)
D
(1, 7)

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