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Chapter_Exam_Review
Chapter Exam Review
Chapters 5+6: Factoring, Quadratic Equations , Rational
Expressions and Equations
Chapter Exam Review for MAT100 – Introductory Algebra
Chapter Learning Objectives:
In this chapter students will:
Factor out the GCF ( greatest common factor) of a given polynomial
Factor a polynomial by grouping
Factor a trinomial of the form: ax^2 + bx + c
Solve a quadratic equation by factoring
Solve a quadratic equation by using the quadratic formula
Determine what value (s) make a given rational expression or equation undefined
Simplify rational expressions
Add, subtract, multiply and divide rational expressions
Simplify rational expressions
Solve rational equations; be sure to check for extraneous solutions
Solve given proportions
Chapter Practice Exam:
This test (found at the end of every chapter) provides you
an excellent opportunity to both practice and review for class exams. Take this
test to see how
much of the chapter you have mastered and retained. Do the assigned practice
exam problems and check your answers with those provided at the back
of the text to see whether you have correctly solved each problem; rework all
problems that are incorrect. If you need to review any of these problems,
simply refer back to the chapter review section of the chapter on pages 405407,
481484, and 675.
Practice Chapter Test: pp. 409410 #312 all, 1528 all
AND pp.485486 #111 all, 16, 22 AND p.677 #10, 11
Chapter Test Date and Practice Chapter Test Due Date:
___________________________
Additional Practice : Chapter Review (optional): pp.
405407, 481484, and 675
Cumulative Reviews (optional): pp.181182 and pp.487489
Misc. Chapter Notes:
· Quadratic Formula:
once the equation is in quadratic form: y = ax^2 + bx + c
Chapters 5+6: Factoring, Quadratic Equations, Rational
Expressions and Equations
Chapter Schedule for MAT100 –Introductory Algebra
Chapter Homework Assignments:
You learn math by doing math. The best way to learn math
is to practice, practice, practice. The assigned homework examples provide you
with an
opportunity to practice. Be sure to complete every assigned problem (or more if
you need additional practice). Check your answers to the oddnumbered
problems in the back of the text to see whether you have correctly solved each
problem; rework all problems that are incorrect.
Date Assigned  Section/Topic  Assigned Reading  Assigned Problems 
5.1 Factoring Out the Greatest Common Factor and Factoring by Grouping 
pp.356363  pp.363366 #3749 odds, 5365 odds, 6983 odds, 93, 95  
5.2 Factoring Trinomials of the Form y = x^2 + bx + c 
pp.366370  pp.371373 #2937 odds, 47, 49, 5559 odds, 6569 odds, 7581 odds  
5.3 Factoring Trinomials of the Form y = ax^2 + bx + c 
pp.373379  pp.379381 #2733 odds, 47, 49, 5963 odds, 7177 odds  
5.4 Special Factorizations  pp.381387  pp.388390 #2529 odds, 4549 odds, 65, 67, 83  
5.5 Quadratic Equations  pp.391398  pp.398402 #1527 odds, 3339 odds, 4551 odds, 8389 odds  
9.2 The Quadratic Formula  pp.649656  pp.657660 #31, 33, 35, 41, 43, 45  
6.1 Simplifying Rational Expressions  pp.416421  pp.421423 #2129 odds, 43, 45, 5573 odds  
6.2 Multiplying and Dividing Rational Expressions 
pp.423429A  pp.429431 #19, 21, 23, 37, 39, 41, 4755 odds, 7783 odds  
6.3 Adding and Subtracting Rational Expressions 
pp.432438  pp.439441 #13, 15, 17, 25, 27, 29  
6.4 Complex Fractions  pp.441445  pp.445447 #7, 9, 15, 17  
6.5 Rational Equations and Problem Solving 
pp.447455  pp.455459 #1929 odds; be sure to check for extraneous solutions  
6.6 Proportions and Similar Triangles  pp.459467  pp.467471 #2545 odds 
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