AnswersPA-Common Core Math 8 Q1Unit Test

Unit Test — Unit test Answers

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Regina is comparing the cost to rent a car from four different companies. She found that the cost to rent from each company can be modeled by a linear function of the number of miles driven. The formulas for each company are shown in the table.Daily Cost to Rent a Car Driven x MilesCompanyCost in dollars1234Which statement is best supported by the table?

Question illustration
A
Company 1 and company 4 charge the same rate per mile.
B
Company 2 and company 3 charge the same rate per mile.
C
Company 2 charges only a flat fee and does not charge per mile.
D
Company 3 charges only a flat fee and does not charge per mile.
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Ashley started the year with 45 comic books. Each month, she adds 5 more comic books to her collection. Which table correctly represents y, the number of comic books in her collection, after x months?

A
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries 5, 50, 95, 140.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries 45, 50, 55, 60.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 15. Column 2 is labeled y with entries 45, 46, 47, 48.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 15. Column 2 is labeled y with entries 45, 90, 135, 180.
Option D
43

Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?

A
y = 4x – 2
B
y = 4x + 6
C
y = 4x + 2
D
y = 4x – 3
44

What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?

A
y = negative 3 x minus 5
Option A
B
y = negative 3 x + 5
Option B
C
y = 3 x minus 5
Option C
D
y = 3 x + 5
Option D
45

Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?

A
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).
Option A
B
On a coordinate plane, a line goes through points (0, 2) and (4, 0).
Option B
C
On a coordinate plane, a line goes through points (0, 2) and (2, 3).
Option C
D
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2).
Option D
46

Consider the linear function that is represented by the equation and the linear function that is represented by the table below. xy216426636846Which statement is correct regarding their slopes and y-intercepts?

Question illustration
A
The function that is represented by the equation has a steeper slope and a greater y-intercept.
B
The function that is represented by the equation has a steeper slope, and the function that is represented by the table has a greater y-intercept.
C
The function that is represented by the table has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
D
The function that is represented by the table has a steeper slope and a greater y-intercept.
47

Emelina wrote the equation of a line in point-slope form as shown below.What is Emelina’s equation in slope-intercept form?

Question illustration
A
y = 3x + 2
B
y = 3x +10
C
y = 3x – 4
D
y = 3x – 10
48

A linear function has a slope of and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation ?

Question illustration
A
It has the same slope and the same y-intercept.
B
It has the same slope and a different y-intercept.
C
It has the same y-intercept and a different slope.
D
It has a different slope and a different y-intercept.
49

Which equation represents a linear function that has a slope of and a y-intercept of –6?

Question illustration
A
y = negative 6 x + four-fifths
Option A
B
y = four-fifths x minus 6
Option B
C
y = four-fifths x + 6
Option C
D
y = 6 x + four-fifths
Option D

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