AnswersPA-Common Core Math 8 Q1Unit Test

Unit Test — Unit test Answers

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21
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What method can be used to write the equation of a line in slope-intercept form given two points?

A
Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept.
Option A
B
Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept.
Option B
C
Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.
Option C
D
Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.
Option D
22
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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
23

A florist shop represents its first month’s sales with the equation , where x represents the number of days that the shop is open and y represents the sales in dollars. The owner of the shop would like to calculate the number of days it took to reach $3,200 in sales. Which would be used to solve the problem?

Question illustration
A
Substitute 3,200 for x.
B
Add 8 and 3,200.
C
Divide 3,192 by 168.
D
Isolate y in the equation.
24

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

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.
25

What are the slope and the y-intercept of the linear function that is represented by the graph?

Question illustration
A
The slope is , and the y-intercept is –2.
Option A
B
The slope is , and the y-intercept is 3.
Option B
C
The slope is , and the y-intercept is –2.
Option C
D
The slope is , and the y-intercept is 3.
Option D
26

Which linear function has the steepest slope?

A
y = negative 8 x + 5
Option A
B
y minus 9 = negative 2 (x + 1)
Option B
C
y = 7 x minus 3
Option C
D
y + 2 = 6 (x + 10)
Option D
27

Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorporates a flat base fee and an hourly rate to determine the cost of service. Those formulas are shown in the table.Repair Cost FormulasElectricianCost in y dollars for an x-hour service123Which statement is best supported by the table?

Question illustration
A
Each electrician charges a different hourly rate.
B
Each electrician charges a different base fee.
C
All three electricians charge the same hourly rate.
D
All three electricians charge the same base fee.
28

Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?

A
The slope is .
Option A
B
The slope is .
Option B
C
The y-intercept is 7.
D
The y-intercept is 13.
29

Which linear function has the same slope as the one that is represented by the table?xy0

Question illustration
A
y = negative one-half x + StartFraction 1 Over 10 EndFraction
Option A
B
y = negative one-fifth x + one-half
Option B
C
y = one-fifth x minus one-half
Option C
D
y = one-half x minus StartFraction 1 Over 10 EndFraction
Option D
30

What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?

A
–7
B
–3
C
0
D
4
31

Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3).Step 1: Step 2: Step 3: Step 4: Which best describes Terri’s first error?

Question illustration
A
In step 1, the slope of the line should be .
Option A
B
In step 2, she should have substituted the point (4, 6).
C
In step 3, she should have subtracted 4 from both sides of the equation.
D
In step 4, the m and b values should be switched.
32

What is the equation of the line that passes through the points (15, 9) and (-2, 9)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
33

Lindsay used two points, and , to find the equation of the line, y = mx + b, that passes through the points. First, she used the definition of slope and determined that the value of m is . Given this information, which expression must represent the value of b?

Question illustration
A
y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
Option A
B
y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
Option B
C
y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
Option C
D
y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
Option D
34

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?

A
y = negative 3 x minus 5
Option A
B
y = 3 x minus 5
Option B
C
y = negative 3 x + 5
Option C
D
y = 3 x + 5
Option D
35

What are the slope and the y-intercept of the linear function that is represented by the equation ?

Question illustration
A
The slope is –2, and the y-intercept is 9.
B
The slope is 2, and they y-intercept is 9.
C
The slope is 9, and the y-intercept is –2.
D
The slope is 9, and the y-intercept is 2.
36

The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel. What is the slope of the line?

Question illustration
A
–2
B
Negative one-half
Option B
C
StartFraction 7 Over 16 EndFraction
Option C
D
StartFraction 39 Over 30 EndFraction
Option D
37

The price of a particular stock is represented by the linear equation , where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars. If this relationship continues, what is the price of the stock after it has been owned for 12 weeks?

Question illustration
A
$92.55
B
$94.37
C
$100.52
D
$114.39
38

Which linear function has the greatest y-intercept?

A
y = 6 x + 1
Option A
B
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
Option B
C
On a coordinate plane, a line goes through points (1, 2) and (0, negative 3).
Option C
D
y = 3 x + 4
Option D
39

Vladimir says that the equation of the line that passes through points and is . Robyn says that the line passes through the points and . Who is correct?

Question illustration
A
only Vladimir
B
only Robyn
C
both Vladimir and Robyn
D
neither Vladimir nor Robyn
40

Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs and .Step 2: Find the slope. Step 3: Find the y-intercept to write the equation in slope intercept form. Which explains the error that Lila made?

Question illustration
A
Lila made in error in Step 1 by reversing the ordered pairs.
B
Lila made an error in Step 2 by not using the slope formula.
C
Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
D
Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.

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Unit Test — Unit test Answers — PA-Common Core…