# MTH 220 Week 5 Final Exam

MTH/220 College Algebra

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MTH 220 Week 1 Checkpoint
MTH 220 Week 2 Checkpoint
MTH 220 Week 3 Checkpoint
MTH 220 Week 4 Checkpoint
MTH 220 Week 5 Final Exam

MTH 220 Week 1 MyMathLab®
Study Plan for Week 1 Checkpoint

MTH 220 Week 2 MyMathLab®
Study Plan for Week 2 Checkpoint

MTH 220 Week 3 MyMathLab®
Study Plan for Week 3 Checkpoint

MTH 220 Week 4 MyMathLab®
Study Plan for Week 4 Checkpoint

MTH 220 Week 5 MyMathLab®
Study Plan for Week 5 Final Exam

MTH 220 Week 5 Final Exam
Solve for x using the
Evaluate the function at the given values of the
independent variable and simplify.
Use the graph of f to
determine each of the following.
​(a) the domain of f
​(b) the range of f
​(c) the​ zero(s) of f
​(d) f left parenthesis 4
right parenthesis
​(e) the intervals on which
f is increasing
​(f) the intervals on which
f is decreasing
​(g) the values for which
​f(x)less than or equals0
​(h) any relative maxima or
minima
​(i) the​ value(s) of x for
which f left parenthesis x right parenthesis equals 4
​(j) Is f left parenthesis 3
right parenthesispositive or​ negative?
Give the slope and​
y-intercept of the line whose equation is given below. Then graph the linear
function.
Use the given conditions to write an equation for
the line in​ point-slope
form and in​ slope-intercept
form.
Find the average rate of
change of the function
Use the graph of y =f (x) to
graph the function
Begin by graphing the
absolute value​ function, f (x)=|x|. Then use transformations of this graph
to graph the given function.
For f(x)=x+4 and g(x)=2x+1, find
the following functions.
The function f (x)=x^3+6 is​
one-to-one. Find an equation for f-1(x), the inverse function.
Find the midpoint of the
line segment whose endpoints are given.
Use the graph of the
rational function to complete the following statement.
Find the vertical​
asymptotes, if​ any, and the values of x corresponding to​ holes, if​ any, of
the graph of the rational function.
Find the horizontal​
asymptote, if​ any, of the graph of the rational function.
The function f models the pH​
level, f(x), of a mouth x minutes after eating food containing sugar. The
graph of this function is shown to the right. Complete parts​ (a) through​
(e).
Graph the following function
by making a table of coordinates. If​ applicable, use a graphing utility to
confirm your​ hand-drawn graph.
Use transformations of the
graph of f =3^x to graph the function​ g(x) given below. Graph and give the
equation of the asymptote. Use the graph to determine the domain and range of​
g(x).
Evaluate the following
expression without using a calculator.
Evaluate the following
expression without using a calculator.
Use properties of logarithms
to condense the logarithmic expression. Write the expression as a single
logarithm whose coefficient is 1. Evaluate logarithmic expressions if
possible.
The loudness level of a
sound can be expressed by comparing the​ sound's intensity to the intensity
of a sound barely audible to the human ear. The formula
Upper D equals 10 left
parenthesis log Upper I minus log Upper I 0 right parenthesis
describes the loudness level
of a​ sound, D, in​ decibels, where I is the intensity of the​ sound, in
watts per meter squared commaand Upper I 0 is the intensity of a sound barely
audible to the human ear. Use this information to answer parts​ (a) and​ (b)
below.
Solve the following
exponential equation by expressing each side as a power of the same base and
then equating exponents.
Complete the table shown to
the right for the population growth model for a certain country.
Solve the system by the
substitution method.
Solve the system by the
Solve the system by the
Use the graphs of the linear
functions on the right. Write the linear system whose solution set is
​{(3,negative 1)}. Express
each equation in the system in​ slope-intercept form.
Solve the system by the
substitution method.
Graph the following
inequality.
Graph the given system of
inequalities.
Solve the system using
matrices. Use Gaussian elimination with​ back-substitution or​ Gauss-Jordan
elimination.
Find the following matrices
where A= B=
Solve the matrix equation B-X=2A
for X.
The sequence given is
defined using a recursion formula. Write the first four terms of the
sequence.
Evaluate the factorial
expression.
Find the indicated sum.
Write the first six terms of
the arithmetic sequence with the given first​ term, a 1, and common​
difference, d.
Write a formula for the
general term​ (the nth​ term) of the arithmetic sequence shown below. Do not
use a recursion formula. Then use the formula for An to find a20 ,the 20 th term
of the sequence.
Find 1plus2plus3plus4plus...plus30,
the sum of the first 30natural numbers.
Company A pays \$24 comma 000yearly
with raises of \$1 comma 400per year. Company B pays \$ 28 comma 500yearly with
raises of \$850 per year. Which company will pay more in year​ 10? How much​
more?
Write the first five terms
of the geometric sequence whose first term is 32, and whose common ratio is
Find the sum of the first 14
terms of the geometric sequence shown below.
The general term of a
sequence is given. Determine whether the sequence is​ arithmetic, geometric,
or neither. If the sequence is​ arithmetic, find the common​ difference; if
it is​ geometric, find the common ratio.
A job pays a salary of \$15
comma 000 the first year. During the next 11years, the salary increases by 7%
each year. What is the total lifetime salary over the 12-year period?

MTH 220 Week 4 Checkpoint
Write the first four terms
of the sequence whose general term is given below.
The sequence given is
defined using a recursion formula. Write the first four terms of the
sequence.
Evaluate the factorial
expression.
Find the indicated sum.A
deposit of \$1000is made in an account that earns 5%
interest compounded
quarterly. The balance in the account after n quarters is given by the
following sequence. Find the balance in the account after six years.
complete the given statements.
Write the first six terms of
the arithmetic sequence with the given first​ term, a 1, and common​
difference, d.

Use the formula for the
general term​ (the nth​ term) of an arithmetic sequence to find the indicated
term of the sequence with the given first​ term,a 1, and common​ difference,
d.
Find 1plus2plus3plus4plus...plus30,
the sum of the first 20natural numbers.
You are considering two job
offers. Company A will start you at \$ 33 comma 000a year and guarantee a
raise of \$ 2500per year. Company B will start you at a higher​ salary, \$ 40
comma 000a​ year, but will only guarantee a raise of \$ 1000per year. Find the
total salary that each company will pay over a​ ten-year period. Which
company pays the greater total​ amount?

MTH 220 Week 3 Checkpoint
Solve
the system of equations by the substitution method.
Solve
the system by the addition method.
Solve
the system by the method of your choice.
Four
times a first number decreased by a second number is negative 38. The first
number increased by twicethe second number is 4.Find the numbers.
Solve
the system by the substitution method.
Graph
the following inequality.
Graph
the following inequality.
Graph
the solution set of the system of inequalities.
Write
the augmented matrix for the system of equations to the right.
Write
the system of linear equations represented by the augmented matrix to the
right. Use​ x, y, and z for the variables.
Perform
the row operation on the given augmented matrix.
Solve
the system using matrices. Use Gaussian elimination with​ back-substitution
or​ Gauss-Jordan elimination.
a.  Give
the order of the given matrix.
b.  If
A equals left bracket a Subscript ij Baseline right bracket ,identify a 32and
a 23 if possible.
Find
the following matrices where A= b=
Find
the following matrices where

MTH 220 Week 2 Checkpoint
Use
the graph of the rational function to complete the following statement.
Find
the vertical​ asymptotes, if​ any, and the values of x corresponding to​
holes, if​ any, of the graph of the rational function.
Find
the horizontal​ asymptote, if​ any, of the graph of the rational function.
The
function models the pH​ level, f(x),
of a mouth x minutes after eating food containing sugar. The graph of this
function is shown to the right. Complete parts​ (a) through​ (e).
Graph
the following function by making a table of coordinates. If​ applicable, use
a graphing utility to confirm your​ hand-drawn graph.
Use
transformations of the graph of f left parenthesis x right parenthesis equals
4 Superscript x
to
graph the function​ g(x) given below. Graph and give the equation of the
asymptote. Use the graph to determine the domain and range of​ g(x).
Evaluate
the following expression without using a calculator.
Evaluate
the expression without using a calculator.
Use
properties of logarithms to condense the logarithmic expression. Write the
expression as a single logarithm whose coefficient is 1. Evaluate logarithmic
expressions if possible.
The
loudness level of a sound can be expressed by comparing the​ sound's
intensity to the intensity of a sound barely audible to the human ear. The
formula describes the loudness level of a​ sound, D, in​ decibels, where I is
the intensity of the​ sound, in watts per meter squared,and I 0is the
intensity of a sound barely audible to the human ear. Use this information to
answer parts​ (a) and​ (b) below.
Solve
the following exponential equation by expressing each side as a power of the
same base and then equating exponents.
Complete
the table shown to the right for the population growth model for a certain
country.

MTH 220 Week 1 Checkpoint
Solve the following equation
Evaluate the function at the
given values of the independent variable and simplify.
Use the graph of f to
determine each of the following.
​(a) the domain of f
​(b) the range of f
​(c) the​ zero(s) of f
​(d) f left parenthesis 4
right parenthesis
​(e) the intervals on which
f is increasing
​(f) the intervals on which
f is decreasing
​(g) the values for which
​f(x)less than or equals0
​(h) any relative maxima or
minima
​(i) the​ value(s) of x for
which f left parenthesis x right parenthesis equals 4
​(j) Is f left parenthesis 3
right parenthesispositive or​ negative?
Give the slope and​
y-intercept of the line whose equation is given below. Then graph the linear
function.
Use the given conditions to write an equation for
the line in​ point-slope
form and in​ slope-intercept
form.
Find the average rate of
change of the function
Use the graph of y =f (x) to
graph the function
Begin by graphing the
absolute value​ function, f (x)=|x|. Then use transformations of this graph
to graph the given function.
For f(x)=x+4 and g(x)=2x+1, find
the following functions.
The function f (x)=x^3-6 is​
one-to-one. Find an equation for f-1(x), the inverse function.
Find the distance between
the pair of points.
Find the midpoint of the
line segment whose endpoints are given.
Use a graphing utility with
a viewing rectangle large enough to show end behavior to graph the polynomial
function shown below.
Use the seven step method
described in the book to graph the following rational function.

MTH 220 Week 5 MyMathLab®
Study Plan for Week 5 Final Exam

Quiz Me: 8.3-8 Solve
applications.

Quiz Me: 8.3-6 Determine
whether a sequence is arithmetic, geometric, or neither.

Quiz Me: 8.3-4 Use the
formula for the sum of the first n terms of a geometric sequence.
Quiz Me: 8.3-3 Use the
formula for the general term of a geometric sequence.
Quiz Me: 8.3-2 Write terms
of a geometric sequence.

MTH 220 Week 4 MyMathLab®
Study Plan for Week 4 Checkpoint

Quiz Me: 8.2-5 Solve
applications.
Quiz Me: 8.2-4 Use the
formula for the sum of the first n terms of an arithmetic sequence.

Quiz Me: 8.2-3 Use the
formula for the general term of an arithmetic sequence.

Quiz Me: 8.2-2 Write terms
of an arithmetic sequence.

Quiz Me: 8.2-1 Concept and
Vocabulary Check

Quiz Me: 8.1-6 Solve
applications.

Quiz Me: 8.1-5 Use summation
notation.

Quiz Me: 8.1-4 Use factorial
notation.

Quiz Me: 8.1-3 Use recursion
formulas.

Quiz Me: 8.1-2 Find
particular terms of a sequence from the general term.

MTH 220 Week 3 MyMathLab®
Study Plan for Week 3 Checkpoint

Quiz Me: 6.3-5 Solve matrix
equations.
Quiz Me: 6.3-4 Perform
matrix operations.

Quiz Me: 6.3-2 Give the
order of matrices and identify elements.

Quiz Me: 6.1-5 Use matrices
and Gaussian or Gauss-Jordan elimination to solve systems.

Quiz Me: 6.1-4 Perform
matrix row operations.

Quiz Me: 6.1-3 Write linear
systems given augmented matrices.

Quiz Me: 6.1-2 Write
augmented matrices for linear systems.

Quiz Me: 5.5-4 Graph systems
of inequalities.

Quiz Me: 5.5-3 Graph
nonlinear inequalities in two variables.

Quiz Me: 5.5-2 Graph linear
inequalities in two variables.

Quiz Me: 5.4-2 Solve
nonlinear systems in two variables by substitution.

Quiz Me: 5.1-6 Solve
problems using systems of linear equations in two variables.

Quiz Me: 5.1-5 Solve linear
systems in two variables by the method of your choice.

Quiz Me: 5.1-4 Solve linear
systems in two variables by addition.

Quiz Me: 5.1-3 Solve linear
systems in two variables by substitution.

MTH 220 Week 2 MyMathLab®
Study Plan for Week 2 Checkpoint

Quiz Me: 4.5-2 Model
exponential growth and decay

Quiz Me: 4.4-2 Use like
bases to solve exponential equations.

Quiz Me: 4.3-9 Solve
applications.

Quiz Me: 4.3-6 Condense
logarithmic expressions.

Quiz Me: 4.2-5 Use basic
logarithmic properties.

Quiz Me: 4.2-4 Evaluate
logarithms

Quiz Me: 4.1-6 Graph
exponential functions using transformations.

Quiz Me: 4.1-4 Graph
exponential functions by plotting points.

Quiz Me: 3.5-10 Solve
applications.

Quiz Me: 3.5-5 Identify
horizontal asymptotes.

Quiz Me: 3.5-4 Identify
vertical asymptotes.

Quiz Me: 3.5-3 Determine
what value a function approaches as x approaches a given value.

MTH 220 Week 1 MyMathLab®
Study Plan for Week 1 Checkpoint

Quiz Me: 3.5-7 Graph
rational functions using the strategy for graphing rational functions.

Quiz Me: 3.2-3 Identify
characteristics of graphs of polynomial functions and graph the functions.

Quiz Me: 2.8-3 Find the
midpoint of a line segment.

Quiz Me: 2.8-2 Find the
distance between two points.

Quiz Me: 2.7-3 Find the
inverse of a function.

Quiz Me: 2.6-4 Form
composite functions.

Quiz Me: 2.5-4 Perform
transformations on the absolute value function.

Quiz Me: 2.5-2 Perform
transformations given the graph of a function.

Quiz Me: 2.4-3 Find a
function's average rate of change.

Quiz Me: 2.4-2 Find slopes
and equations of parallel and perpendicular lines.

Quiz Me: 2.3-4 Identify the
slope and y-intercept and graph the line.

Quiz Me: 2.2-5 Obtain
information about a function from its graph.

Quiz Me: 2.1-4 Evaluate a
function.

Quiz Me: 1.5-6 Solve