# MATH 99 - BASIC ALGEBRA

**1. PREREQUISITES**

**1. PREREQUISITES**

Demonstrated scores within a selected range on Holy Cross College’s placement
test, or completion of

Math 095 with a grade of C or better.

**2. TEXTBOOKS AND/OR EQUIPMENT/SUPPLIES (purchased by
student)**

**2. TEXTBOOKS AND/OR EQUIPMENT/SUPPLIES (purchased by student)**

A. Required

**Intermediate Algebra,** Charles P. McKeague, Seventh Edition, Brooks/Cole,
2007

B. Optional

**Student Solution Manual,** McKeague (not at bookstore)

Scientific or Graphing Calculator

Colored pencils or pens

**3. COURSE DESCRIPTION**

**3. COURSE DESCRIPTION**

Basic Algebra does not assume previous instruction in algebra. Students are
expected to be able to

perform basic arithmetic operations ( +, -, x, / ) on whole numbers, fractions,
and decimals.

Course content includes the basic properties and
definitions of algebra, signed numbers, translating

verbal expressions, and order of operations. Other topics include solving linear
equations and

inequalities in one variable, properties of exponents, operations with
polynomials and rational

expressions, a general strategy for factoring, and finally, solving quadratic
equations by factoring.

Students who successfully complete this course with a
grade of C or better will have the skills necessary

to advance to MATH 101 (Intermediate Algebra) or MATH 111 (Discrete
Mathematics).

**4. GOALS AND OBJECTIVES**

**4. GOALS AND OBJECTIVES**

A. General

Upon successful completion of this course, the student will be able:

To read the math textbook

To perform the mathematical objectives stated in each lesson

To work cooperatively in small groups

To be attentive and follow directions

To give clear and logical explanations

B. Content

Content objectives are listed in this syllabus after the assignment sheet.

C. Learning Outcomes

Learning outcomes are listed in this syllabus after the assignment sheet and
content objectives.

**5. GRADING SCALE**

**5. GRADING SCALE**

Percent |
Grade |
Percent |
Grade |

92-100 | A | 78-79 | C+ |

90-91 | A- | 72-77 | C+ |

88-89 | B+ | 70-71 | C- |

82-87 | B | 60-69 | D |

80-81 | B- | 0-59 | F |

***Note: A grade of C or better is required to
progress to Math 101 and a grade of D or better is
required to progress to Math 111**

**6. GRADING CRITERIA AND REQUIREMENTS**

**6. GRADING CRITERIA AND REQUIREMENTS**

Class Participation Work: (15%) Students must take
advantage of opportunities to share problem

solutions at the board, correct any test mistakes, possibly do journals,
computer labs, and visit the LRC

tutoring center. Classroom participation is mandatory. Attendance will be
factored into your grade here.

Homework: (15%) Problem sets (exercises at the end of each
section) will be assigned daily to be turned

in the following day. To earn full credit, you must write down the problem, show
any necessary work,

arrive at the correct solution, and circle or highlight your solution please. As
you work the problems,

check answers in the back of the book to make sure that you understand the
concept. Indicate your

name, homework number and Math 99 – 1 at the top right hand margin of your
homework paper(s).

Quizzes: (10%) Quizzes may or may not be announced but
will only cover the most recent material.

Always be prepared! Some quiz scores may be dropped at semester’s end.

Tests: (40%) Think of our chapter tests as opportunities to excel. Please
complete the tests in pencil, and

of course, you must show all scrap work neatly numbered. If you are absent on a
test day, your test

grade will be zero unless arrangements for a make-up test are made within 24
hours. One low test score

will be dropped if you miss three (3) or fewer classes.

Exam: (20%) The final examination will be taken on Saturday, December 13 from 10:15 a.m. - 12:15 p.m.

**7. MAKE UP POLICY**

**7. MAKE UP POLICY**

Homework will be handed in daily. Late homework (even due
to absence) may be given reduced credit

and will not be accepted for full credit after the assignments have been
returned to the class. Random

homework problems will be checked daily. Credit will be granted only if you show
your work and it is

correct. Quizzes may be planned or unannounced. Missed quizzes may not be made
up.

**8. ATTENDANCE POLICY/ WITHDRAWAL POLICY**

**8. ATTENDANCE POLICY/ WITHDRAWAL POLICY**

Punctual class attendance is required and will be factored
into your class participation grade. 100 %

attendance is expected. Try not to miss any class. If you miss 3 or fewer
classes, you may drop one low

test score at the end of the semester. Perfect attendance will be rewarded by
dropping two low quiz

scores and your low test score at the end of the semester. Your attendance grade
will drop by 10% for

each absence. Three tardies count as an absence.

September 1 is the last day to drop a class. October 31 is
the last day to withdraw from a class with a

grade of W. December 11 is the last day for class withdrawal with a WP or WF.

**9. OTHER INFORMATION**

**9. OTHER INFORMATION**

• Reminder:

* In order to be successful, *you need to be a
participant, not a spectator. YOU are responsible for your

own education. I will facilitate, encourage, counsel, guide, and support your learning. Merely being

present expecting someone to feed you information does not mean you are learning. People become

educated because of the work they themselves do. You must be actively engaged. In our class,

checking the answers in the back of the book is essential. You are expected to preview the section that

will be covered in class the following day. As you read the text, work the margin problems as directed.

• Special Needs/ Learning Disabilities:

You are encouraged to make known to us any problems that
may make it difficult for you to learn math.

We will do our best to work with you to help you succeed. Any special
accommodations must be

requested in advance, and only after appropriate paperwork has been received by
me from Brother Chris

Dreyer, Director of Student Counseling Services. For more info, consult your
student handbook.

• Good Advice:

If you are ever discouraged or have concerns or questions,
do not hesitate to talk with me. Please call or

make an appointment, or just drop by during office hours, or visit me at the
Learning Resource Center

during my scheduled hours.

• Tutoring:

You are encouraged to make use of the Learning Resource
Center. Hours and location will be posted on

the bulletin board in the Max and on the internet at www.hcc-nd.edu/tutoring .
Peer tutors, adult

tutors, and teachers are available to help you FREE OF CHARGE. If your grades
falter, you may be

required to visit the tutoring center as part of your class participation grade.
Videotapes of all lectures

are also available at the library for viewing in the LRC or your dorm. A CD is
included with your text that

has a video lesson for each section from the text, as well as practice problems.
You have 24/7 web

access to text-specific tutorials, and live, one-on-one help from a qualified
instructor on the web during

specific hours.

• Academic honesty policy/classroom conduct policy/student athlete policies:

The student should consult the student handbook if he has
questions about appropriate classroom

conduct or attire, students’ rights, academic honesty policies or student
athlete policies. Cell phones

should not be used or in sight during class times. Student athletes are
responsible for missed

assignments.

• Important Dates:

September 1 is the last day to add/drop a class

October 18 -26 is fall break

October 31 is the last day for class withdrawal with W

November 26-30 is Thanksgiving break

December 11 is last day for class withdrawal with WP or WF

December 12,13, 15, 16 are final exams

December 13 S__ aturday,__ 10:15 to 12:15 is your math final exam

## PLAN AHEAD: Do **NOT** ask to take the exam at any other time because of travel
commitments.

**10. ASSIGNMENT SCHEDULE**

**10. ASSIGNMENT SCHEDULE**

Note: You are to do every 3^{rd} problem for homework,
starting with 3: i.e. do 3, 6, 9, 12, 15, 18, 21, etc.

Date |
Classroom / Lesson |
Assignment Due |
||

Mon | 8/25 | Introduction | None | |

Wed | 8/27 | 1.1 Fundamental Definitions and Notation | HW # 1 | p. 8: Getting Ready, 1 - 4 |

p. 2: 2 - 20 even | ||||

Class Participation Questions on Syllabus | ||||

Fri | 8/29 | 1.2 The Real Numbers | HW # 2 | 1.1: 3 – 120, every 3^{rd} |

Mon | 9/1 | 1.3 Properties of Real Numbers | HW # 3 | 1.2: 3 – 84, every 3^{rd} |

Wed | 9/3 | 1.3 Continued | HW # 4 | 1.3: 3 – 132, every 3^{rd} |

Fri | 9/5 | 1.4 Arithmetic with Real Numbers | CP Handout on Properties | |

Mon | 9/8 | 1.5 Recognizing Patterns | HW # 5 | 1.4: 3 – 150, every 3^{rd} |

Wed | 9/10 | Review | HW # 6 | 1.5: 3 – 45, every 3^{rd} |

Fri | 9/12 | Test #1: 1.1 to 1.5 |
HW # 7 | |

Mon | 9/15 | 2.1 Linear Equations in One Variable | HW # 8 | p. 74: 2 - 20 even |

p. 88: 113 – 124 even | ||||

p. 99: 92 – 100 even | ||||

p. 114: 54 – 68 even | ||||

Wed | 9/17 | 2.2: Formulas | HW # 9 | 2.1: 3 – 96, every 3^{rd} |

Fri | 9/19 | 2.3: Applications | HW # 10 | 2.2: 3 – 42, every 3^{rd} |

Mon | 9/22 | 2.3: Applications | HW # 11 | 2.2: 45 – 78, every 3^{rd} |

Wed | 9/24 | 2.4 Linear Inequalities in One Variable | HW # 12 | 2.3: 3 – 51, every 3^{rd} |

Fri | 9/26 | 2.4 Continued | HW # 13 | 2.4: 3 – 39, every 3^{rd} |

Mon | 9/29 | Review 2.1 – 2.4 | HW # 14 | 2.4: 42 – 51, every 3^{rd}; 65 – 72 all |

Wed | 10/1 | TEST 2: 2.1 – 2.4 | HW # 15 | p. 145: 2 – 34 even |

Fri | 10/3 | 5.1: Properties of Exponents | HW # 16 | p. 324: 2 – 24 even |

p. 335: 114 – 126 even | ||||

Mon | 10/6 | 5.2: Polynomials, Sums, and Differences | HW # 17 | 5.1: 3 – 102 every 3^{rd} |

Wed | 10/8 | 5.3: Multiplication of Polynomials | HW # 18 | 5.2: 3 – 54, every 3^{rd} |

Fri | 10/10 | 5.3 Continued | HW # 19 | 5.3: 3 – 54, every 3^{rd} |

Mon | 10/13 | 5.4 The Greatest Common Factor and | HW # 20 | p. 344: 64 – 74 even |

Factor by Grouping | p. 354: 72 – 80 even | |||

Wed | 10/15 | Review | HW # 21 | 5.4: 3 – 48, every 3^{rd} |

Fri | 10/17 | Test 3: 5.1 – 5.4 |
HW # 22 | p. 399: 2 – 36 even |

Enjoy your Fall Break!!! |
||||

Mon | 10/27 | 5.5 Factoring Trinomials | HW # 23 | p. 360: 56 – 70 even |

p. 368: 78 – 90 even | ||||

Wed | 10/29 | 5.6 Special Factoring | HW # 24 | 5.5: 3 – 66, every 3^{rd} |

Fri | 10/31 | 5.6 Continued | HW # 25 | 5.6: 3 – 60 every 3^{rd} |

Mon | 11/3 | 5.7 Factoring: A General Review | HW # 26 | 5.6: 63 – 96, every 3^{rd} |

Wed | 11/5 | 5.8 Solving Equations by Factoring | HW # 27 | 5.7: 3 – 72, every 3^{rd} |

Fri | 11/7 | 5.8 Continued | HW # 28 | 5.8: 3 – 18, every 3^{rd} |

5.7: 14, 20, 26, 34, 40, 46, 52 | ||||

Mon | 11/10 | Review | HW # 29 | 5.8: 21 – 48, every 3^{rd} |

5.7: 56, 58, 62, 64, 66, 68, 70 | ||||

Wed | 11/12 | Test 4: 5.5 – 5.8 |
HW # 30 | p. 399: 37 – 61 |

Fri | 11/14 | 6.1 Basic Properties and | HW # 31 | p. 404:1 – 20 all |

Reducing to Lowest Terms | p. 418: 64 – 84 even | |||

p. 429: 50 – 60 even | ||||

Mon | 11/17 | 6.2 Division of Polynomials | HW # 32 | 6.1: 3 – 51, every 3^{rd} |

Wed | 11/19 | 6.3 Multiplication and Division | HW # 33 | 6.2: 3 – 36, every 3^{rd} |

Of Rational Expressions | ||||

Fri | 11/21 | 6.4 Addition and Subtraction | HW # 34 | 6.3: 3 – 51, every 3^{rd} |

Of Rational Expressions | ||||

Mon | 11/24 | 6.5 Complex Fractions | HW # 35 | 6.4 3 – 63, every 3^{rd} |

Thanksgiving Break Already! |
||||

Mon | 12/1 | 6.6 Equations Involving | HW # 36 | 6.5 3 – 27, every 3^{rd}, and |

Rational Expressions | 40 – 50 even, 49 | |||

Wed | 12/3 | Review | HW # 37 | 6.6 3 – 54 every 3^{rd} |

Fri | 12/5 | Test 5: 6.1 – 6.6 |
HW # 38 | p. 485: 2 -34 even |

Mon | 12/8 | Exam Review with Quiz | HW # 39 | Review Sheet, ch 1 & 2 |

Wed | 12/10 | Wrap Up (drop low scores) | HW # 40 | Review Sheet, ch 5 & 6 |

Sat | 12/13 | FINAL EXAMINATION* | 10:15 a.m. - 12:15 p.m. | |

*Ask | About | additional optional exam | review! |

PLAN AHEAD: Do **NOT** ask to take the exam at any other time
because of travel commitments.

**4. GOALS AND OBJECTIVES**

**4. GOALS AND OBJECTIVES**

**B. Content
**Upon completion, the student should be able to:

**Chapter 1**

• translate phrases written in English into algebraic expressions

• simplify expressions containing exponents

• simplify expressions using the rules for order of operations

• graph simple and compound inequalities

• use commutative, associative, and distributive properties

• simplify expressions containing absolute value

• identify the opposite of a number

• identify the reciprocal of a number

• add, subtract, multiply, and divide signed numbers and fractions

• extend an arithmetic sequence

• factor whole numbers into primes

• reduce fractions to lowest terms

**Chapter 2**

• simplify expressions by combining similar terms

• simplify expressions by applying the distributive property

• find the value of an expression for a given value of the variable

• use the addition and multiplication properties of equality to solve an
equation

• check the solution to an equation by substitution

• solve a formula for one of its variables

• solve simple percent problems

• apply the Blueprint for Problem Solving to a variety of application problems

• use both the addition and multiplication properties to solve an inequality

• graph the solution set for an inequality and state solution in interval
notation

**Chapter 5
**• simplify expressions using properties of exponents

• convert between scientific notation and expanded form

• multiply and divide expressions written in scientific notation

• give the degree of a polynomial

• add, subtract, and multiply polynomials

• evaluate a polynomial for a given value of its variable

• factor by factoring out the greatest common factor (GCF)

• factor by grouping

• factor trinomials with leading coefficient of one

• factor trinomial with a leading coefficent other than one

• factor perfect square trinomials

• factor the difference of two squares

• factor the sum or difference of two cubes

• solve equations by factoring

• apply the Blueprint for Problem Solving to solve application problems whose solutions involve quadratic equations

• solve problems that contain formulas that are quadratic

**Chapter 6**

• reduce rational expressions to lowest terms

• divide a polynomial by a monomial or a polynomial

• multiply and divide rational expressions

• add and subtract rational expressions with like and unlike denominators

• simplify complex fractions

• solve equations containing rational expressions

• solve formulas containing rational expressions for one of the variables

• solve application problems whose solutions are found from equations

containing rational expressions

• solve conversion problems using unit analysis

C. Learning Outcomes*

At Holy Cross College, we have identified a number of Core
Competencies which we hope that all

of our students will exhibit by the time they graduate. The five core
competencies are:

Critical and Creative Thinking

Written and Oral Communication

Personal, Moral, and Social and Cultural Development

Technology and Information Management

Quantitative Reasoning

In our Basic Algebra class, the successful student will achieve these specific learning outcomes:

The student will be able to:

• Read critically

• Ask relevant, detailed, and probing questions

• Solicit feedback, evaluate, and revise creative products

• Understand and employ the basics of grammar, syntax, and usage

• Listen to and give effective feedback to speakers

• Prepare and deliver well-organized and coherent oral presentations, with a
clear main

point and supporting details

• Defend a point of view with clear, logical, convincing arguments

• Respect self and others and apply the basic principles
of effective social interaction

• Know, accept, and fulfill mature responsibilities, and stand accountable for
their decisions

and actions

• Demonstrate operational abilities in information and communication technologies

• Demonstrate higher-order thinking skills, such as
reasoning from evidence

• Use mathematical principles and skills to help recognize, evaluate, and solve
problems in

everyday life

* There are many other learning outcomes included in our course that are
observed, but not formally assessed.