Math 082 Course Outline

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Revised Dec 2007

The Community College of Baltimore County

Catonsville Campus

Department of Mathematics

Division of Mathematics, Science, and Engineering

MATH082 0 credit (3 billable hours) INTRODUCTORY ALGEBRA is a fourteen-week course meeting three hours a week. This course includes first degree equations and inequalities, linear equations and inequalities in two variables, systems of equations and inequalities, polynomials, and factoring. Pre-requisite: Satisfactory score on the placement exam or satisfactory completion of MATH081 AND RDNG 051. Scientific calculator required.

Text: Intermediate Algebra by Charles McKeague

Grading: Students scoring 90 – 100% earn an A, 80 – 89% earn a B, 70 – 79% earn a C, below 70% earn an F. The departmental exams (midterm and final) constitute 50% of the course grade and the instructor determines the other 50%.

Following is a list of sections that must be covered and will be included on the Midterm and Final Exams. Other sections may be covered as review or instruction at the instructor's discretion.

Topics

 

Sections

Problems

Weeks

Real

1.3a

Find the opposite of a real number

1-12

1.5

Numbers

1.3c

Simplify expressions involving absolute value

17-28

 

 

1.3d

Recognize and apply the properties of real numbers

41-52, 125-138

 

 

1.3e

Recognize and apply the distributive property

53-68, 75-100

 

 

1.3g

Simplify algebraic expressions

113-124

 

 

1.4a

Add and subtract real numbers

1-24

 

 

1.4b

Multiply and divide real numbers

25-40

 

 

1.4c

Apply the rule for Order of Operations

41-64

 

 

1.4d

Simplify algebraic expressions

91-108

 

 

1.4f

Find the value of an expression

135-136

 

Equations &

2.1a

Solve a linear equation in one variable

1-98

2.0

Inequalities

2.2a

Solve a formula with numerical replacements

1-26

 

in One

2.2b

Solve formulas for the indicated variable

27-50

 

Variable

2.3a

Solve application problems

1-8

 

2.4a

Solve a linear inequality in one variable and graph the solution set

1-24

 

 

2.5a

Solve equations with absolute value symbols

1-40

 

Graphs,

3.1a

Graph ordered pairs on a rectangular coordinate system

1-4

2.5

Functions &

3.1b

Graph linear equations by finding intercepts or by making a table

5-30

 

Applications

3.1c

Graph horizontal and vertical lines

33-36

 

 

3.2a

Find the slope of a line from its graph

1-6

 

(Parallel &

3.2b

Find the slope of a line given two points on the line

7-18

 

Perpendicular

3.3a

Find the equation of a line given its slope and y-intercept

1-8

 

are not

3.3b

Find the slope and y-intercept from the equation of a line

15-24

 

required)

3.3c

Find the equation of a line given the slope and a point on the line

25-34

 

 

3.3d

Find the equation of a line given two points on the line

35-40, 47-50

 

 

3.4a

Graph linear inequalities in two variables

1-34

 

**********

 

MIDTERM– 25% of course grade

********

0.5

Systems of

4.1a

Solve systems of equations in two variables by graphing

1-10

2.5

Equations

4.1b

Solve systems of equations in two variables by the addition method

11-30

 

 

4.1c

Solve systems of equations in two variables by the substitution method

31-42

 

 

4.5a

Solve application problems through the use of systems of equations

1-4, 7, 8, 15-19, 21-26

 

Polynomials

5.1a

Simplify expressions using the properties of exponents

1-60

2.0

 

5.1b

Convert back and forth between scientific notation and expanded form

79-94

 

 

5.1c

Multiply and divide expressions written in scientific notation

95-100, 119-120

 

 

5.2a

Give the degree of a polynomial

1-12

 

 

5.2b

Add and subtract polynomials

13-48

 

 

5.2c

Evaluate a polynomial for a given value

49-58

 

 

5.3a

Multiply polynomials

1-56

 

Factoring

5.4a

Factor out the greatest common factor

1-20

3.0

 

5.5a

Factor trinomials when the leading coefficient is 1

1-22

 

 

5.5b

Factor trinomials when the leading coefficient is a number other than 1

29-60

 

 

5.6a

Factor perfect square trinomials

1-26

 

 

5.6b

Factor the difference of two squares

29-46

 

 

5.8a

Solve equations by factoring

1-30

 

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FINAL EXAM --- 25% of course grade

 

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