ADDING, SUBTRACTING, MULTIPLYING AND DIVIDING INTEGER WORKSHEETS
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|       Problem      |     Comes From Section Number     |
|       Number:       |     and Key Idea:     |
| 1, 2 | 3.1 A |
| 3 | 3.1 B |
| 4 | 3.1 C |
| 5, 6 | 3.1 B |
| 7 | 3.1 C |
| 8, 9, 10 | 3.2 A |
| 11 | 3.2 B |
| 12 | 3.3 A |
| 13, 14, 15 | 3.3 B |
| 16, 17, 18, 19 | 3.4 A |
| 20, 21 | 3.5 A |
| 22, 23, 24, 25, 26 | 3.5 B |
For a similar list of information about the actual test questions, see Math 103 Test Information
Chapter 4 -- Polynomials4.1 Integer ExponentsThe laws of exponents require practice and memorization. Turn back to this section later to practice again. Practice until the rules are completely memorized.
1 - 40 all
4.2 Scientific Notation1, 2, 4, 5, 7, 8, 9, 10, 13, 14, 17, 18, 19, 21, 23, 24 - 30
4.3 PolynomialsKnow the terminology from this section.
1, 2, 4, 5, 6, 8, 9 - 14, 15, 17, 19, 22, 25 - 30, 31, 35
4.4 Adding and Subtracting PolynomialsYou must be especially careful when subtracting polynomials.
1, 2, 7, 8, 10, 14, 16, 17, 19, 20
4.5 Multiplying and Dividing with Monomials1, 2, 4, 5, 7, 8, 9, 10 - 12, 14, 17, 19, 20
4.6 Multiplying PolynomialsYou must master this section for success in chapter 5. Be sure you understand and can perform the FOIL method.
1 - 8, 10, 11, 15 - 17, 19 - 23
Chapter Review1 - 48
Chapter 4 Sample Exam (see "Using Sample Exams" in the Chapter 1 section above)
Sample Exam problems come from these sections:
|       Problem      |     Comes From Section Number     |
|       Number      |     and Key Idea:     |
| 1, 2 | 4.1 C |
| 3 | 4.1 A |
| 4 | 4.1 C |
| 5 | 4.1 A |
| 6, 7 | 4.1 C |
| 8 | 4.1 D |
| 9, 10 | 4.2 A |
| 11, 12, 13 | 4.2 B |
| 14, 15 | 4.3 A |
| 16 | 4.3 B |
| 17, 18 | 4.3 C |
| 19 | 4.4 A |
| 20 | 4.4 B |
| 21 | 4.4 A & 4.4 B |
| 22 | 4.5 A |
| 23 | 4.5 B |
| 24, 25 | 4.5 C |
| 26, 27, 28 | 4.6 A |
| 29 | 4.6 B |
For a similar list of information about the actual test questions, see Math 103 Test Information
Cumulative Test B -- covering Chapters 3 & 4Now that you have mastered Units 03 and 04, the next test you must take is Cumulative Test B.
Remember
a cumulative test may only be taken once and the score you receive is
used when computing your course grade.
Prepare thoroughly. In addition to your review of chapters 3 and 4 and their sample exams, a review worksheet for Cumulative Test B is available in the TAC Learning Center, 1-112 Wilson Hall.
Don't forget your Free Testing Coupon. Your coupon should be picked up within one week of taking Cumulative Test B.
Chapter 5 -- Factoring PolynomialsYou must master Factoring in Chapter 5 for success in Chapter 6.
5.1 Common FactorsYou should begin each factoring problem by first asking, "Is there a greatest common factor?"
1, 2, 4, 7, 9 - 13, 15, 16 - 23, 25, 27 - 29, 31, 34, 35, 38
5.2 Factoring Trinomials1 - 8, 10 - 12, 14 - 18, 22, 25, 26, 28, 31, 33 - 35
5.3 Factoring BinomialsBe able to recognize the perfect squares listed at the bottom of page 238.
1, 2, 4, 5, 7, 9, 11, 12, 14, 16, 18, 20 - 22, 24, 25, 27 - 29, 32
5.4 Solving Problems Using FactoringWhen solving, always write the equation so that one side equals zero, then factor to solve.
1 - 8, 10 - 12, 14, 16, 17, 21, 22, 25 - 34
Chapter Review1, 3, 4, 6, 7 - 20, 26, 30 - 36, 39 - 43, 45, 47, 48, 50, 51 - 55
Chapter 5 Sample Exam (see "Using Sample Exams" in the Chapter 1 section above)
Sample Exam problems come from these sections:
|       Problem      |     Comes From Section Number     |
|       Number      |     and Key Idea:     |
| 1, 2 | 5.1 A |
| 3, 4 | 5.1 B |
| 5 | 5.1 C |
| 6 | 5.2 A |
| 7 | 5.1 B |
| 8 | 5.2 A |
| 9, 10, 11 | 5.2 C |
| 12, 13 | 5.2 B |
| 14 | 5.2 C |
| 15 | 5.1 B & 5.1 C |
| 16 | 5.3 B |
| 17, 18, 19 | 5.3 A |
| 20, 21 | 5.3 B |
| 22 | 5.3 A |
| 23 | 5.2 C & 5.3 B |
| 24 | 5.4 A |
| 25, 26, 27, 28, 29, 30 | 5.4 B |
| 31, 32, 33 | 5.4 C |
For a similar list of information about the actual test questions, see Math 103 Test Information
Chapter 6 -- Rational Expressions and Equations6.1 Simplifying Rational ExpressionsNotice: you have two tasks to do - find the restrictions and simplify.
1 - 5, 8, 9, 13 - 17, 19, 20
Note - on problems 8, 13 - 15, & 17 you will factor out a (-1) as shown in Example 4 (a) and (b) - read the paragraph above Example 4 on page 264 and look over that whole example carefully. This is a very important skill.
6.2 Multiplying and Dividing Rational Expressions2, 3, 6, 7, 10 - 12, 15 - 17, 19, 20
6.3 Adding and Subtracting Rational Expressions1 - 5, 9 - 13, 17 - 21, 24, 25, 29, 31 - 33, 36
6.4 Solving Rational EquationsNote: there is a big difference between adding/subtracting rational expressions (no equal sign) and solving a rational equation (has an equal sign). Be sure you can keep the problems straight. Review the comparison on page 286.
1, 2, 5 - 7, 12, 13, 15 - 19, 22, 24, 26, 27, 31 - 33
6.5 Applications Using Rational Equations2, 4, 7, 10, 12 (Ratio Problems); 14 - 16, 20, 21, 23 (Work Problems)
6.6 Direct and Inverse VariationBe sure to memorize these two formulas.
1 - 6, 11, 12, 16 - 20
Chapter Review1, 3, 4, 6, 7, 9, 12, 13, 16, 17, 18, 21, 22, 24, 25, 28, 30 - 36, 37 - 40, 42 - 46
Chapter 6 Sample Exam (see "Using Sample Exams" in the Chapter 1 section above)
Sample exam problems come from these sections:
|       Problem      |     Comes From Section Number     |
|       Number      |     and Key Idea:     |
| 1 | 6.1 A |
| 2, 3 | 6.1 B |
| 4, 5 | 6.2 A |
| 6 | 6.2 B |
| 7, 8 | 6.3 A |
| 9, 10 | 6.3 B |
| 11, 12, 13, 14 | 6.3 C |
| 15, 16, 17, 18, 19, 20 | 6.4 A |
| 21 | 6.5 A |
| 22, 23 | 6.5 B |
| 24, 25 | 6.6 A |
| 26 | 6.6 B |
For a similar list of information about the actual test questions, see Math 103 Test Information
Cumulative Test C -- covering Chapters 5 & 6Now that you have mastered Units 05 and 06, the next test you must take is Cumulative Test C.
Remember
a cumulative test may only be taken once and the score you receive is
used when computing your course grade.
Prepare thoroughly. In addition to your review of chapters 5 and 6 and their sample exams, a review worksheet for Cumulative Test C is available in the TAC Learning Center, 1-112 Wilson Hall.
Don't forget your Free Testing Coupon. Your coupon should be picked up within one week of taking Cumulative Test C.
Chapter 7 -- Square Roots and Radicals7.1 Introduction to Square Roots1 - 8 (be sure you understand the difference between exact form and approximate form), 9 - 15, 19, 20 (notice if you are finding the principal root, the negative root, or both), 21 - 32 (study Example 3 on pages 316 - 317 for a discussion on replacement values)
7.2 Multiply and Divide Square Roots1, 3, 4, 7 - 11, 13 - 18, 19 - 24, 25 - 30, 32, 33, 36 - 43, 49, 50
7.3 Addition and Subtraction of Square RootsNotice it is necessary to have like terms before adding or subtracting.
1 - 5, 9 - 13, 16 - 18, 23, 28, 30
7.4 Solving Equations with Square RootsThere are two types of problems here; pay attention to the difference. In the first type, the variable is not under the square root symbol. In the second type, the variable IS under the square root symbol. If the variable was originally under a square root symbol you MUST check your answer(s) in the original equation.
1 - 17, 20, 22
7.5 Using Square RootsMemorize the Pythagorean Theorem; it will not be given on the exam. The distance formula and quadratic formula WILL be given on the exam if needed.
1, 2, 4, 5, 9, 12 - 16, 17, 18, 20, 23, 24
Chapter Review1 - 8, 9 - 12, 16, 17, 19, 21, 23, 25, 26, 28, 29, 30, 32, 35, 36, 37, 41, 42, 43, 46, 47, 49, 50, 52 - 59
Chapter 7 Sample Exam (see "Using Sample Exams" in the Chapter 1 section above)
Sample Exam problems come from these sections:
|       Problem      |     Comes From Section Number     |
|       Number      |     and Key Idea:     |
| 1, 2 | 7.1 A |
| 3, 4 | 7.1 B |
| 5, 6 | 7.2 A |
| 7, 8, 9, 10 | 7.2 B |
| 11 | 7.2 C |
| 12 | 7.2 C & 7.2 D |
| 13, 14, 15, 16 | 7.3 A |
| 17, 18 | 7.4 A |
| 19, 20, 21 | 7.4 B |
| 22, 23, 24 | 7.5 A |
| 25 | 7.5 B |
| 26 | 7.5 C |