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# 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
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 405-407, 481-484, and 675.

Practice Chapter Test: pp. 409-410 #3-12 all, 15-28 all AND pp.485-486 #1-11 all, 16, 22 AND p.677 #10, 11
Chapter Test Date and Practice Chapter Test Due Date: ___________________________

Additional Practice : Chapter Review (optional): pp. 405-407, 481-484, and 675
Cumulative Reviews (optional): pp.181-182 and pp.487-489

Misc. Chapter Notes:

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.356-363 pp.363-366 #37-49 odds, 53-65 odds, 69-83 odds, 93, 95 5.2 Factoring Trinomials of the Form y = x^2 + bx + c pp.366-370 pp.371-373 #29-37 odds, 47, 49, 55-59 odds, 65-69 odds, 75-81 odds 5.3 Factoring Trinomials of the Form y = ax^2 + bx + c pp.373-379 pp.379-381 #27-33 odds, 47, 49, 59-63 odds, 71-77 odds 5.4 Special Factorizations pp.381-387 pp.388-390 #25-29 odds, 45-49 odds, 65, 67, 83 5.5 Quadratic Equations pp.391-398 pp.398-402 #15-27 odds, 33-39 odds, 45-51 odds, 83-89 odds 9.2 The Quadratic Formula pp.649-656 pp.657-660 #31, 33, 35, 41, 43, 45 6.1 Simplifying Rational Expressions pp.416-421 pp.421-423 #21-29 odds, 43, 45, 55-73 odds 6.2 Multiplying and Dividing Rational Expressions pp.423-429A pp.429-431 #19, 21, 23, 37, 39, 41, 47-55 odds, 77-83 odds 6.3 Adding and Subtracting Rational Expressions pp.432-438 pp.439-441 #13, 15, 17, 25, 27, 29 6.4 Complex Fractions pp.441-445 pp.445-447 #7, 9, 15, 17 6.5 Rational Equations and Problem Solving pp.447-455 pp.455-459 #19-29 odds; be sure to check for extraneous solutions 6.6 Proportions and Similar Triangles pp.459-467 pp.467-471 #25-45 odds
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