May 25th
May 25th
BEGINNING ALGEBRA
COURSE
DESCRIPTION:
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This course includes the study of rational
numbers and their applications , ope rations with
algebraic expressions, linear equations and
applications, linear inequalities, graphs of linear
equations, operations with exp onents and
polynomials and factoring . |
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TEXTBOOK: |
Martin-Gay, K. Elayn. Beginning and
In termediate Algebra ,4th Edition. Upper Saddle
River, New Jersey: Prentice-Hall, 2009. |
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REFERENCE(S): |
N/A |
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OTHER REQUIRED
MATERIALS, TOOLS,
AND EQUIPMENT:
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None. Calculators with algebraic symbolic
operations are not al lowed without instructor ’s
approval. Scientific calculators may be used
beginning with Chapter 2. |
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METHOD OF
INSTRUCTION : |
Concepts will be taught by lecture/demonstration
and by group problem -solving. Student
participation will be required. Audio-visual aids
will be used when appropriate. |
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GRADING SYSTEM :
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90-100=A
80-89=B
70-79=C
60-69=D
Below-60= F |
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COURSE
COMPETENCIES &
OBJECTIVES: |
Upon satisfactory completion of this course,
the students should be able to demonstrate
competency in the General Education
Outcome listed as “their ability to express
themselves effectively in quantitative and
qualitative terms” in the following
competencies and objectives:
I. Perform basic operations with signed
numbers.
1. Add real numbers.
2. Subtract real numbers.
3. Multiply and divide real numbers.
II. Solve and graph basic linear equations.
1. Simplify algebraic expressions.
2. Solve equations using the addition-
subtraction principle.
3. Solve equations using the multiplication-
division principle.
4. Solve and graph linear equations.
5. Solve for a specific variable.
6. Plot ordered pairs on the rectangular
coordinate system.
7. Calculate the slope of a line .
8. Employ special forms of linear equations.
III. Solve application problems.
1. Apply the steps for problem solving.
2. Use formulas to solve word problems.
3. Solve a formula or equation for one of its
variables.
IV. Perform operations with powers.
1. Use the product and power rules for
exponents.
2. Use the quotient rule, and simplify
expressions with zero exponents .
3. Simplify expressions with negative
exponents, and use scientific notation.
4. Add and subtract polynomials.
5. Multiply polynomials.
7. Multiply binomials by inspection.
8. Divide polynomials by monomials.
V. Multiply and factor algebraic expressions.
1. Factor out the greatest common factor .
2. Factor trinomials of the form x² + bx + c
3. Factor trinomials of the form ax² + b + c
4. Factor special forms of polynomials.
5. Determine the most appropriate strategy
for factoring a polynomial.
6. Solve equations by factoring. |
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SYLLABUS ADDENDUM for Math 101
1.5 Adding Real Numbers  3 hours
1.6 Subtracting Real Numbers
1.7 Multiplying and Dividing Real Numbers
1.8 Properties of Real Numbers
11 hours
2.1 Simplifying Algebraic Expressions
2.2 The Addition and Multiplication Properties of Equality
2.3 Solving Linear Equations
2.4 An Introduction to Problem Solving
2.5 Formulas and Problem Solving
2.7 Further Problem Solving (optional)
2.8 Solving Linear Inequalities
3.1 The Rectangular Coordinate System  8 hours
3.2 Graphing Linear Equations
3.3 Intercepts
3.4 Slope and Rate of Change
3.5 Equations of Lines
3.6 Functions
5.1 Exponents  11 hours
5.2 Polynomial Functions and Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Special Products
5.5 Negative Exponents and Scientific Notation
5.6 Dividing Polynomials
5.7 Synthetic Division and the Remainder Theorem (optional)
6.1 The Greatest Common Factor and Factoring by Grouping
 8 hours
6.2 Factoring Trinomials of the form x² + bx + c
6.3 Factoring Trinomials of the form ax²+ bx + c and Perfect Square Trinomials
6.4 Factoring Trinomials of the form ax² + bx + c by Grouping
6.5 Factoring Binomials
6.6 Solving Quadratic Equations by Factoring
6.7 Quadratic Equations and Problem Solving
HOMEWORK FOR MAT 101
Beginning and Intermediate Algebra, 4th ed., Martin-Gay, 2009
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Section |
Page |
Problems |
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1.5 |
40 |
1,3,13,17,29,33,39,43,51,55,57,65,71,75,77 |
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1.6 |
46 |
1,7,13,15,27,31-59 odd,65,67,75,79,81 |
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1.7 |
56 |
1,9,19,27,33,35,39,55,57,63-85 odd,97,101 |
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1.8 |
63 |
1,5,11,13,27,31,47,51,55,63,69,73,75,77,79 |
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2.1 |
79 |
2,7,11,21,29,33,44,45,53,63,67-81 odd |
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2.2 |
89 |
1,7,13,17,21,23,27,31,35,47,51,59,65,71,75,79,91 |
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2.3 |
98 |
5,7,17,23,27,37,41,51,63,69 |
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2.4 |
107 |
1,3,5,9,29,43 |
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2.5 |
118 |
1,5,7,9,17,21,23,25,35,41,49 |
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2.8 |
149 |
1,3,5,11,13,15,17,19,23,27,53,55,57,75,77,81 |
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3.1 |
176 |
3,7,13,17,39,41,45,47,49,61,65 |
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3.2 |
187 |
1,5,7,13,21,31,33,45 |
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3.3 |
196 |
1,3,5,7,15,19,21,25,27,29 |
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3.4 |
209 |
1,3,5,9,11,13,25,27,51-57 odd |
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3.5 |
220 |
3,11,13,17,23,31,33,39,41,45,47,49,51,59,61,65,67 |
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3.6 |
230 |
1,5,7,13,15,39,45,47,49,53,63,67 |
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5.1 |
309 |
5,7,11,13,21,27,31,35,55,57,65,71,73,101 |
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5.2 |
321 |
1,5,9,11,13,17,19,23,29,35,51,57,61 |
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5.3 |
327 |
9,11,29,31,41,55,57,61,65,67,69 |
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5.4 |
334 |
3,9,11,23,25,41,45,47,55,67 |
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5.5 |
343 |
1,3,5,9,11,13,15,33,39,45,57,69,83,85,97,103 |
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5.6 |
350 |
5,9,15, 43,47 |
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5.7 |
355 |
1,5,7,15,17,19,23,29 |
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6.1 |
373 |
1,5,7,9,11,21,25,29,31,35,53,55,59,67,77,83 |
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6.2 |
380 |
1,5,11,13,15,21,23,25,33,43,49,51,57,59 |
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6.3 |
388 |
1,9,11,13,17,19,23,25,29,37,49,59,63,89,91,121 |
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6.4 |
393 |
1,5,7,13,15,19,23,25,29,45,47,49,53 |
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6.5 |
400 |
1,3,7,11,17,23,25,27,41,43,53,59,63,65 |
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6.6 |
412 |
1,3,5,7,11, 25-41 odd |
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6.7 |
420 |
1,3,5,7,11,13,45 |
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