All problems should be done WITHOUT a calculator unless otherwise indicated!
4.2 Homework: Topics: Polynomial and Synthetic Division.
1. Divide the following polynomials by using polynomial long division. Be sure to write your answer in an appropriate for

Section 5.1 Homework SOLUTIONS
Topics: Exponential Functions and their graphs, compound interest, Logarithmic Functions and their graphs,
the definition of logarithm.
1. Use your calculator and evaluate each of the following. Round your answer to three de

All problems should be done WITHOUT a calculator unless otherwise indicated!
5.2 Homework: Topics
Properties of logarithms.
1. Evaluate the following WITHOUT using a calculator.
A) log 3 81
1
64
B) log 6 1
C ) log 4
D) log 2 213
E ) ln e13
F ) log100
2

All problems should be done WITHOUT a calculator unless otherwise indicated!
5.3 Homework: Topics
Solving Exponential Equations
1. Solve the following exponential equations by making the bases the same.
A.
32 x 1 27
C.
3x x
9
E.
2
B.
2 4 x 1 8
D.
27
2

Section 5.3 Homework SOLUTIONS
Topics: Solving Exponential Equations
1. Solve the following exponential equations by making the bases the same.
A.
B.
32 x 1 27
32 x 1 33
2 4 x 1 8
2
2
4 x 1 4
x 1 1
x0
2 x 1 3
2 x 2
x 1
C.
3x x
9
3x 32
D.
2
x2
27
33
2

All problems should be done WITHOUT a calculator unless otherwise indicated!
5.4 Homework: Topics
Solving Logarithmic Equations
1. Solve the following logarithmic equations.
A.
C.
E.
G.
ln x ln 4 0
log 3 x 2
log 4 x log 4 x 12 3
log 2 x log 2 x 6 2
B.
D.

Section 5.5 Homework SOLUTIONS
Topics: Applications involving exponential equations
1. Complete the table for a savings account in which interest is compounded continuously.
Initial Investment
$10,000
$5000
$165,298.89
A)
B)
C)
Annual % Rate
4%
6.9%
12%
A

Section 5.4 Homework SOLUTIONS
Topics: Solving Logarithmic Equations
1. Solve the following logarithmic equations.
A.
ln x ln 4 0
B.
ln x 3 1 2
ln x 3 1
ln x ln 4
x4
x 3 e1
x 3 e
C.
log 3 x 2
2 log 3 1 x 3 11
2log 3 1 x 8
3 x 102
3 x 100
x 97
x 97
E.
D.

All problems should be done WITHOUT a calculator unless otherwise indicated!
5.5 Homework: Topics
Applications involving exponential equations
1. Complete the table for a savings account in which interest is compounded continuously.
A)
B)
C)
Initial Inves

Section 6.1 Homework SOLUTIONS
Topics: Solving Linear systems of equations in two variables by graphing and substitution.
1. Solve each of the following systems of equations by Graphing.
A)
B)
x y 3
2 x 3 y 1
C)
3
y x2
2
2x 3y 7
x 3y 1
2 x 3 y 1
2,1
2

All problems should be done WITHOUT a calculator unless otherwise indicated!
5.1 Homework: Topics
Exponential Functions and their graphs,
compound interest, Logarithmic Functions and their graphs,
the definition of logarithm.
1. Use your calculator and ev

Section 4.7 Homework SOLUTIONS
Topics: Graphing Rational Functions:
Vertical Asymptotes, Horizontal Asymptotes,
Y-intercept, X-intercept, crossing the horizontal Asymptote.
1.
y
x 3 x 3
x2 9
2
2 x 3x 5 2 x 5 x 1
A) The equation(s) for the vertical asympt

Section 4.2 Homework SOLUTIONS
Topics: Polynomial and Synthetic Division.
1. Divide the following polynomials by using polynomial long division. Be sure to write your answer in an appropriate form. For
example
x 1
2 x 4 4 x3 5 x 2 3x 2 x 2 2 x 3 2 x 2 1

All problems should be done WITHOUT a calculator unless otherwise indicated!
4.4 Homework: Topics
Rational Roots Theorem
1. Find all of the zeros for the given polynomial. Also, write the polynomial in factored form (where each of the factors is linear).

All problems should be done WITHOUT a calculator unless otherwise indicated!
4.3 Homework: Topics: Remainder Theorem, Factor Theorem
1. Use synthetic division and the remainder theorem to evaluate
F x 12 x 5 60 x 4 51x3 96 x 2 81x 54
values. Be sure to wr

Section 4.4 Homework SOLUTIONS
Topics: Rational Roots Theorem
1. Find all of the zeros for the given polynomial. Also, write the polynomial in factored form (where each of the factors is linear).
A)
F x 6 x5 11x 4 10 x 3 15 x 2 4 x 4
p : 1, 2, 4 q : 1, 2,

Section 4.5 Homework SOLUTIONS
Topics: Conjugate Roots Theorem, Upper and Lower Bound Theorems
1. Find ALL of the zeros for
1 i
F x x 4 x 3 6 x 2 14 x 12
1
6
1 i
14
8 6i
i
7i
6 6i
i
1 i
7i
1 i
6 6i
6 6i
1
1
6
is one of the zeros!
0
1
1 i
12
12
1
1 i
1

All problems should be done WITHOUT a calculator unless otherwise indicated!
4.5 Homework: Topics
Conjugate Roots Theorem, Upper and Lower Bound Theorems
1. Find ALL of the zeros for
F x x 4 x 3 6 x 2 14 x 12
USING the fact that
2. Find a polynomial with

Section 4.3 Homework SOLUTIONS
Topics: Remainder Theorem, Factor Theorem
1. Use synthetic division and the remainder theorem to evaluate
F x 12 x 5 60 x 4 51x3 96 x 2 81x 54
values. Be sure to write down, and circle, your actual answer!
A)
B)
F 1
F 1
12

All problems should be done WITHOUT a calculator unless otherwise indicated!
4.6 Homework: Topics Graphing Rational Functions: Vertical Asymptotes, Horizontal Asymptotes, Y-intercept, X-intercept,
crossing the horizontal Asymptote.
1.
Find each of the fol

All problems should be done WITHOUT a calculator unless otherwise indicated!
4.7 Homework: Topics
1.
y
Graphing Rational Functions:
Vertical Asymptotes, Horizontal Asymptotes,
Y-intercept, X-intercept, crossing the horizontal Asymptote.
x2 9
2 x2 3x 5
A)

Section 4.6 Homework SOLUTIONS
Topics: Graphing Rational Functions: Vertical Asymptotes, Horizontal Asymptotes, Y-intercept, X-intercept, crossing the horizontal
Asymptote.
1.
x2 5x 6
y
x2 4
Find each of the following.
y
x 2 5 x 6 x 6 x 1
x2 4
x 2 x 2
A)

All problems should be done WITHOUT a calculator unless otherwise indicated!
6.2 Homework: Topics
Solving Linear systems of equations in two variables by elimination.
1. Solve each of the following systems of equations using the Elimination method!
A)
x y

All problems should be done WITHOUT a calculator unless otherwise indicated!
6.1 Homework: Topics
Solving Linear systems of equations in two variables by graphing and substitution.
1. Solve each of the following systems of equations by Graphing.
A)
x y 3

Section 6.2 Homework SOLUTIONS
Topics: Solving Linear systems of equations in two variables by elimination.
1. Solve each of the following systems of equations using the Elimination method!
A)
x y 3
*2
2 x 3 y 1
2x 2 y 6
2 x 3 y 1
5y 5 y 1
x y 3
x 1

All problems should be done WITHOUT a calculator unless otherwise indicated!
6.9 Homework: Topics
Finding Determinants for 2x2 and 3x3 matrices.
1. Find the determinant of each matrix below
A)
2 3
1 5
B)
2
6
1 3
2. Find the determinant of the matrix as

All problems should be done WITHOUT a calculator unless otherwise indicated!
6.10 Homework: Topics
1. Solve
2. Solve
2x 3y 1
x 3y 5
3. Solve
3x 2 y 7
2 x 3 y 4
4. Solve
2x 2 y 7
3 x 3 y 4
by using Cramers Rule if possible (if not then use another me