Algebra Rational Zeros Theorem and Others Questionnaire

YOU MUST SHOW ALL WORK—PARTIAL CREDIT WILL BE GIVENNO WORK, NO CREDIT
f(x) = 7″-92-224-24
F
1. Using the following function:
a) Find the Number of Possible Rational Zeros (10 pts)
b) Test 3 of them using f(x) = (10 pts)
c) Find all the factors (20 pts)
d) Find all the Zeros (10 pts)
2. Using the following function:
a) Find the x & y intercepts (10 pts)
b) Any asymptotes of the function (10 pts)
c) A table of points (15 pts)
d) Sketch the graph of the function (15 pts)
$62) =
– 3+1
y +2-12
Part I – 4 points each
1. Evaluate f(x) = 30% if x is 3
1.
2. Solve for x: e3x-5 = e7
=
2.
.
3. Write in Log form: 33 = 27
3.
4. Write using Ln form e = 1
4.
5. Solve for x: Log 8 (3x-10) = Log 8 5
5.
6. Evaluate: Log 12 200
6.
7. Evaluate: ex if x = 3.2
7.
8. Expand: Log 3 (9/ x)
8.
9. Expand: Ln(x) (y) ( z*)
9.
10. Condense: 3 Ln x + 2 Ln (x+1)
10.
Part II:
Solve for x: Log 6(x+2) – Log 6x=Log 6(x+5)
(10 points)
2.
You Invest $ 1,500 @ 2% for 10 years Compounded Continuously. How much is
in your account after 10 years?
(10 points)
3. Sketch graph of f(x) = 34 and g(x)=-34. State the Transformation
(10 points)
4. Solve & Check the following system of equations { 3,-5,-1) (30 points)
2x +y +3z= -2
5x +2y +Oz = 5
Ox +2y +3z=-13
Part I – 3 points each
1. Solve for x: 23/5 = 8
1.
2. Solve fort x: 3x-1 = 1/81
2.
3. Write in Log form: 7-2 = 1/49
3.
4. Solve for x: x-4 = Log 2 1/64
2
4.
5. Write as a single log: 5 Ln x-42Ln y +6 Ln z 5.
6. Solve for N: Log 10 N = 0.6646
6.
7. Solve for x: Log 9 28 = x
7.
8. T/F:
Lnx = Ln(x-y)
8.
Lny
9. Solve for x:
5* = 41
9.
10. Solve for x: Log 2 x + Log 2 (x-3) = 2 10.
2
Part II – 5 points each on separate paper – show all work and tables
1. Sketch graph of f(x)= 2*
2. Sketch graph of g(x)= ex + 1
3/4. If $5000 is invested at 9% find amount after 3 years if:
#3 Compounded Quarterly
&
#4 Continously
YOU MUST SHOW ALL WORK—PARTIAL CREDIT WILL BE GIVEN
NO WORK, NO CREDIT
f(x) = 7″-92-224-24
F
1. Using the following function:
a) Find the Number of Possible Rational Zeros (10 pts)
b) Test 3 of them using f(x) = (10 pts)
c) Find all the factors (20 pts)
d) Find all the Zeros (10 pts)
2. Using the following function:
a) Find the x & y intercepts (10 pts)
b) Any asymptotes of the function (10 pts)
c) A table of points (15 pts)
d) Sketch the graph of the function (15 pts)
$62) =
– 3+1
y +2-12
Part I – 4 points each
1. Evaluate f(x) = 30% if x is 3
1.
2. Solve for x: e3x-5 = e7
=
2.
.
3. Write in Log form: 33 = 27
3.
4. Write using Ln form e = 1
4.
5. Solve for x: Log 8 (3x-10) = Log 8 5
5.
6. Evaluate: Log 12 200
6.
7. Evaluate: ex if x = 3.2
7.
8. Expand: Log 3 (9/ x)
8.
9. Expand: Ln(x) (y) ( z*)
9.
10. Condense: 3 Ln x + 2 Ln (x+1)
10.
Part II:
Solve for x: Log 6(x+2) – Log 6x=Log 6(x+5)
(10 points)
Solve the following system of equations-Show all work & Checks. 32,-1, 1/2]
Points will be based on the following:
1. 1* Variable Solution (20 points)
2. 2nd Variable Solution (10 points)
3. 3rd Variable Solution (10 Points)
= 6
3x + y + 2z=6.
4. Checks (All of them) (10 Points)
x + y + 4z=3
Grade will be doubled to make it out of 100.
2x + 3y +22=2
2.
You Invest $ 1,500 @ 2% for 10 years Compounded Continuously. How much is
in your account after 10 years?
(10 points)
3. Sketch graph of f(x) = 34 and g(x)=-34. State the Transformation
(10 points)
4. Solve & Check the following system of equations { 3,-5,-1) (30 points)
2x +y +3z= -2
5x +2y +Oz = 5
Ox +2y +3z=-13