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User: esterlande prince
In Course: EL Algebra I v10 ( 3092)
Instructor: Deborah Stone
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03.11 Module Three Test
Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.
Question 1 (Multiple Choice Worth 4 points)
[3.06]
If f(x) = x + 3, find the value of x if f(x) = 9.
6
12
3
9
Question 2 (Multiple Choice Worth 4 points)
[3.06]
If f(x) = −3x + 1, find f(−2).
7
−5
−4
6
Question 3 (Yes/No Worth 3 points)
[3.05]
Is the following relation a function?
Yes
No
Question 4 (Multiple Choice Worth 3 points)
[3.05]
Which of the following does not represent a function?
Question 5 (Multiple Choice Worth 3 points)
[3.01]
Choose the correct statement about the given Venn Diagram.
A total of 17 people were surveyed.
Everyone surveyed like cake and cookies.
A total of 3 people surveyed like cookies.
A total of 14 people surveyed like cake.
Question 6 (Multiple Choice Worth 4 points)
[3.06]
If g(x) = x2 − 3, find g(4).
13
5
16
−3
Question 7 (Multiple Choice Worth 4 points)
[3.03]
If U = {all university students} and subset F = {the female students at the university}, what is F′?
{seniors at the university that are female}
{male university students}
{female professors at the university}
none of the above
Question 8 (Multiple Choice Worth 4 points)
[3.06]
Given the function g(x) = 8x − 2, compare and contrast g(−2) and g(4). Choose the statement that is true concerning these two values.
The value of g(−2) is larger than the value of g(4).
The value of g(−2) is the same as the value of g(4).
The value of g(−2) is smaller than the value of g(4).
The values of g(−2) and g(4) cannot be compared.
Question 9 (Multiple Choice Worth 4 points)
[3.03]
Let A = {red, blue, yellow} and let B = {1, 2}. Find A X B.
{(red, 1), (red, 2), (blue, 1), (blue, 2), (yellow, 1), (yellow, 2)}
{red, blue, yellow, 1, 2}
{ }
{1, 2}
Question 10 (Multiple Choice Worth 3 points)
[3.01]
Which of the following is a subset of the set
A: {children between the ages of 3 and 7}
{children over 7}
{children under 3}
{a 10 year old child}
{children between the ages of 4 and 6}
Question 11 (Multiple Choice Worth 3 points)
[3.01]
Which of the following does not represent the set of even integers from 1 to 20?
{2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
{2, 4, 6, …, 16, 18, 20 }
{2, 4, 6, 8, …}
{even integers from 1 to 20}
Question 12 (Multiple Choice Worth 4 points)
[3.05]
Choose the relation with a range of {−2, −1, 2, 4, 5}.
R = {(−2, −1), (2, 2), (4, 5)}
R = {(5, 6), (−1, 3), (−2, 5), (4, 5), (2, 8)}
R = {(5, 4), (2, 2), (−1, −2)}
R = {(−3, 5), (−6, 4), (−2, 2), (5, −2) (0, −1)}
Question 13 (Multiple Choice Worth 4 points)
[3.06] If f(x) = 2x + 8, find f(9).
18
19
8
26
Question 14 (Multiple Choice Worth 4 points)
[3.05]
Which of the following does not represent a function?
x 1 3 5 7
y 7 11 15 11
x −4 −2 0 2
y 3 −1 −5 −9
x −4 −3 −2 −1
y −32 −18 −8 −2
x −3 2 6 2
y 0 1 5 4
Question 15 (Multiple Choice Worth 4 points)
[3.02]
If A = {0, 1, 2, 3} and B = {integers}, what is A ∩ B?
{…−3, −2, −1, 0, 1, 2, 3, …}
{ }
{0}
{0, 1, 2, 3}
Question 16 (Multiple Choice Worth 4 points)
[3.02]
If A = {red, orange, black, grey} and B = {red, orange, yellow, green, blue, indigo, violet},
what is A B?
{red, orange}
{red, orange, black, grey}
{ }
{red, orange, yellow, green, blue, indigo, violet, black, grey}
Question 17 (Multiple Choice Worth 3 points)
[3.05]
The range of the relation below is
x y
−3 10
2 8
2 4
0 4
{4, 8, 10}
{0, 2, −3}
{4, 4, 8, 10}
No range exists.
Question 18 (Multiple Choice Worth 4 points)
[3.05]
Choose the relation with a domain of {−2, −1, 2, 4, 5}.
R = {(−3, 5), (−6, 4), (−2, 2), (5, −2) (0, −1)}
R = {(−2, 1), (2, 2), (4, 5)}
R = {(5, −3), (4, −6), (2, −2), (−2, 5) (−1,0)}
R = {(5, 4), (2, 2), (1, −2)}
Question 19 (Multiple Choice Worth 3 points)
[3.03]
If N = {positive integers} and subset C = {positive even integers}, what is C′?
{1, 3, 5, 7, …}
{ }
{… −7, −5, −3, −1}
{2, 4, 6, 8, …}
Question 20 (Multiple Choice Worth 3 points)
[3.05]
The domain of the following relation: R: {(3, −3), (1, 6), (−5, −4), (−10, 6)} is
{−10, −5, 1, 3}
{−4, −3, 6}
{6}
No domain exists
Question 21 (Multiple Choice Worth 4 points)
[3.02]
If C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and D = {numbers divisible by 6 from 1 to 12}, what is C ∩ D?
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
{6}
{ }
{6, 12}
Question 22 (Essay Worth 6 points)
[3.06]
John is going to rent a tent to go camping. The cost to rent a camping tent from Woodland Outfitters is a flat rate of $12.00 plus $2.00 for each night the tent is rented.
Part a. Let x represent the number of nights John keeps the tent and write a cost function, c(x), for the cost to rent a tent from Woodland Outfitters.
Part b. How much will John owe if he uses the tent for three nights?
Question 23 (Essay Worth 6 points)
[3.05]
In your own words, explain what the domain of a relation is and give an example.
Question 24 (Essay Worth 6 points)
[3.02]
Create two sets A and B. State what each set is and find A B.
Question 25 (Essay Worth 6 points)
[3.03]
Let A = {2, 4, 6} and let B = {circle, square}. Find A X B.
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Click here to see answer by richard1234(7193)   |
Question 465142: Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}
Determine A ∩ (B ∪ C)
Click here to see answer by richard1234(7193) |
Question 466483: Construct a Venn diagram illustrating the following sets.
U = {2, 4, 6, 8, 10, 12}
A = {2, 6, 10}
B = {2, 4, 8}
C = {2, 8, 10, 12}
Click here to see answer by ccs2011(207)  |
Question 466509: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
Click here to see answer by ccs2011(207) |
Question 466509: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
Click here to see answer by lwsshak3(11628) |
Question 466514: When $ 8500 is invested in a savings account paying simple interest for the year, the interest, i in dollars, can be obtained from the equation i = 8500r , where r is the rate of interest in decimal form. Graph i = 8500r , for r up to and including a rate of 16%. If the rate is 12%, how much interest is earned?
Click here to see answer by Theo(13342)  |
Question 466548: Kafka Inc. imports hard drives and sells them on the internet. The profit is given by the equation P = 140n - 8500, where n is the number of hard drives sold. Graph P = 140n - 8500 for n < 1000. Estimate the profit, to the nearest ten dollars, corresponding to the sale of 875 hard drives.
Click here to see answer by stanbon(75887) |
Question 468979: Given the following sets, select the statement below that is not true. A= {l,a,t,e,r}, B = {l,a,t,e} C= {t,a,l,e} D= {e,a,t} E = {t,e,a}
C is a proper subset of D
E is a subset of A
D is a subset of C
C is a subset of B
D is a proper subset of A
Click here to see answer by kingme18(98)  |
Question 473516: If A = {1,3,5,7,9,11} and B = {2,4,6,8,10,12} What is the intersection of A and B?
Click here to see answer by stanbon(75887) |
Question 473514: P = {0,1,2,3,4,5,6} and Q = {2,4,6,8,10}.
What is the Union of P and Q?
Click here to see answer by jorel1380(3719)  |
Question 475209: Let U = {4, 5, 6, 7, 8, 9, 10}, A = {4, 5, 6, 7}, B = {4, 5, 8, 9}, and C = {6, 8, 10}. List all the members of each of the sets. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)
(a) A ∪ (B ∩ C)
{ , , , , }
(b) A ∪ (B ∩ C)
{ , , , , }
Can I get a tutor to show the right way to count these? Thank you very much for all of the help!
Click here to see answer by jim_thompson5910(35256) |
Question 475208: Let U = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19}, A = {11, 13, 15, 17}, B = {14, 18}, and C = {11, 14, 17, 18, 19}. List all the members of each of the sets. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)
(a) (A ∪ B) ∪ C
{ , , , , , , }
(b) A ∩ B ∪ C
{ , , , , , , , , , }
I really do not understand this sort of math.I tried until it hurts to figure these out.I keep getting the wrong answers.Can you help me with this one please?Thank you!
Click here to see answer by MathLover1(20849)  |
Question 475213: Let U = {21, 22, 23, 24, 25, 26, 27}, B = {21, 24, 25, 27}, and C = {23, 24, 26, 27}. List all the members of the sets. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)
B = { , , }
C= { , , }
The B and C both have lines on top of them. What and how do you get an answer for this one? Can I please get some insight on this problem for my homework assignment? Thank you and have a blessed day!
Click here to see answer by Edwin McCravy(20054)  |
Question 475721: Please help me write the equation for the following relations.
R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .}
R = {(x, y): (2, 3), (4, 4), (6, 5), (8, 6), . . .}
Q = {(x, y): (2, 8), (3, 27), (4, 64), (5, 125), . . .}
P = {(x, y): (1, 0), (2, 4), (3, 8), (4, 12), . . .}
Click here to see answer by stanbon(75887) |
Question 475962: Ricks Paint Store sells a special shade of pink paint (Ricky's Blush) which can be made from red paint and white paint. The amount of red paint should be three times the amount of white paint. How much of each kind of paint is needed to make 264 gallons of Ricky's Blush?
Please help me?Thanks a lot
Click here to see answer by jorel1380(3719) |
Question 476536: Given these sets: A = {3, 4, 5, 6, 7}, B = {6, 7, 8, 9}, C = {2, 4, 6, 8} List the element of this set A U (B ∩ C)....please show how you came to your solution
Click here to see answer by richard1234(7193) |
Question 476536: Given these sets: A = {3, 4, 5, 6, 7}, B = {6, 7, 8, 9}, C = {2, 4, 6, 8} List the element of this set A U (B ∩ C)....please show how you came to your solution
Click here to see answer by mananth(16946)  |
Question 476861: Given the following sets, select the statement below that is true.
A = {l, a, t, e, r}, B = {l, a, t, e}, C = {t, a, l, e}, D = {e, a, t}
(Points : 2)
B ⊆ C and C ⊆ B
A ⊂ B and D ⊂ A
D ⊆ B and A ⊆ D
D ⊆ B and B ⊆ D
A ⊆ C and D ⊂ A
Click here to see answer by stanbon(75887) |
Question 478488: Ricks Paint Store sells a special shade of pink paint (Ricky's Blush) which can be made from red paint and white paint. The amount of red paint should be three times the amount of white paint. How much of each kind of paint is needed to make 264 gallons of Ricky's Blush?
Please help me
Click here to see answer by nerdybill(7384)  |
Question 478872: List all subsets of the set given in the problem.
{5,8,11}
Which is correct below
{5},{8},{11},{5,8},{5,11},{8,11},{5,8,11}
ø,{5},{8},{11},{5,8},{5,11},{8,11},{5,8,11}
ø,{5,11},{8,11},{5,8,11}
ø,{5},{8},{11},{5,8,11}
Click here to see answer by Edwin McCravy(20054) |
Question 478905: Given these sets: A={3,4,5,6,7}, B={6,7,8,9}, C={2,4,6,8} list the elements of this set C n (A U B)
Click here to see answer by stanbon(75887) |
Question 479697: The domain of the following relation: R: {(−3, 4), (5, 0), (1, 5), (2, 8), (5, 10)} is
{−3, 1, 2, 5}
{4, 0, 5, 8, 10}
{−3, 5, 1, 2, 5}
No domain exists
Click here to see answer by Tatiana_Stebko(1539)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900
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