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11/14/20 Mod 3 Test Review

Total questions: 14

Worksheet time: 7mins

Name
Class
Date
1.

When graphed in the standard (x, y) coodinate plane, which of the following equations does NOT represent a line?

a)

x=6x=6

b)

2y=52y=5

c)

4x−7y=124x-7y=12

d)

2x2−4=62x^2-4=6

2.

The scales on both axes on the standard (x, y) coordinate plane below are the same. Of the following, which is the best estimate for the slope of

 AB‾\overline{AB}  ?

a)

4

b)

 34\frac{3}{4}  

c)

 14\frac{1}{4}  

d)

 −14-\frac{1}{4}  

e)

 −4-4  

3.

For some real number A, the graph of the line

 y=(A+1)x+7y=\left(A+1\right)x+7  in the standard (x, y) coordinate plane passes through  (3, 4)\left(3,\ 4\right)  .  What is the slope of this line?

a)

 −2-2  

b)

 −1-1  

c)

 −12-\frac{1}{2}  

d)

 12\frac{1}{2}  

e)

1

4.

The slope of the line with equation y=ax+by=ax+b  is less than the slope of the line with equation y=cx+by=cx+b  .  Which of the following statements must be true about the relationship between  aa  and  cc  .


a)

 a≤ca\le c  

b)

 a<ca<c  

c)

 a=ca=c  

d)

 a>ca>c  

e)

 a≥ca\ge c  

5.

Shown below is the graph of the equation y=12x+4y=\frac{1}{2}x+4   for the values such that  0≤x≤40\le x\le4  .

Which of the following statements is (are) true?


I.  The graph has a constant slope of  12\frac{1}{2}  .
II.  The range of the graph consists of  4≤y≤64\le y\le6  
III.  The polynomial  y=12x+4y=\frac{1}{2}x+4  has a zero of  x=4x=4  .

a)

I only

b)

I and II only

c)

I, II, and III

d)

None of these statements is true.

6.

Which of these is a graph of the equation 3x+y=43x+y=4  in the standard (x, y) coordinate plane?


a)
b)
c)
d)
e)
7.

What are the quadrants of the standard (x, y) coordinate plane below that contain points on the graph of the equation 7x−3y=−57x-3y=-5 ? 


a)

I and III only

b)

I, II, and III only

c)

I, II, and IV only

d)

I, III, and IV only

e)

II, III, and IV only

8.

The point (3, 4)\left(3,\ 4\right)  is shown in the standard (x, y) coordinate plane below.  Which of the following is another point on the line through the point  (3, 4)\left(3,\ 4\right)   with a slope of  −23-\frac{2}{3}  ?


a)

 A(6, 6)A\left(6,\ 6\right)  

b)

 B(0, 2)B\left(0,\ 2\right)  

c)

 C(1, 7)C\left(1,\ 7\right)  

d)

 D(6, 2)D\left(6,\ 2\right)  

e)

 E(5, 1)E\left(5,\ 1\right)  

9.

The graph displays the total cost C, in dollars, of renting a truck for m miles. What does the C - intercept represent in the graph?

a)

The total number of trucks rented

b)

The total number of miles the truck is rented

c)

The initial cost of renting the truck

d)

The increase in cost to rent the truck for each additional mile

10.

Tickets for the Senior Talent Show at Groveport Madison High school are $5 for adults and $3 for students. To cover expenses, a total of $500 must be collected from ticket sales for the show. One of the following graphs in the standard (x, y) coordinate plane, where x is the number of adult tickets sold and y is the number of student tickets sold, represents all the possible combinations of ticket sales that cover at lease $500 in expenses. Which graph is it?

a)
b)
c)
d)
e)
11.

A swimming pool of uniform depth is being filled. When the pool started filling, its drain was opened. The graph below shows the depth of the water in the pool as a function of the length of time that water has been flowing into the pool.


Exactly 1 event occurred at time a that changed the rate at which the depth was increasing. Which of the following could have been that event?


I. The flow of water into the pool was increased.

II. The flow of water into the pool was decreased.

III. The drain was closed.

a)

I only

b)

II only

c)

III only

d)

I or III only

e)

II or III only

12.

Two pumps are being used to drain a pool. Twice as many gallons of water per minute flow through one of the pumps as through the other. Both pumps had been on for 12 hours and had drained the pool to the 1-foot mark when the pump with the faster flow stopped working. The pump with the slower flow then finished draining the pool to the 0-feet mark. Which of the following graphs shows the relationship between the time spent draining the pool and the height of the water in the pool?

a)
b)
c)
d)
e)
13.

Two pumps are being used to drain a pool. Twice as many gallons of water per minute flow through one of the pumps as through the other. Both pumps had been on for 12 hours and had drained the pool to the 1-foot mark when the pump with the faster flow stopped working. The pump with the slower flow then finished draining the pool to the 0-feet mark. Which of the following graphs shows the relationship between the time spent draining the pool and the height of the water in the pool?

a)
b)
c)
d)
e)
14.

Sasha tracks the temperature outside for a number of hours. The graph shows the temperature at different times during the day. On which interval is the temperature strictly increasing and then remaining constant?

a)

From 2pm to midnight

b)

From 6pm to midnight

c)

From 6am to noon

d)

From 6am to 6pm