ADDING, SUBTRACTING, MULTIPLYING AND DIVIDING INTEGER WORKSHEETS

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**Adding, subtracting, multiplying and dividing Integer worksheets**.We have an extensive database of resources on

*Adding, subtracting, multiplying and dividing Integer worksheets*. Below is one of them. If you need further help, please take a look at our software "Algebrator", a software program that can solve any algebra problem you enter!

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 -- Polynomials

**4.1 Integer Exponents**

The 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 Notation**

1, 2, 4, 5, 7, 8, 9, 10, 13, 14, 17, 18, 19, 21, 23, 24 - 30

**4.3 Polynomials**

Know 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 Polynomials**

You must be especially careful when subtracting polynomials.

1, 2, 7, 8, 10, 14, 16, 17, 19, 20

**4.5 Multiplying and Dividing with Monomials**

1, 2, 4, 5, 7, 8, 9, 10 - 12, 14, 17, 19, 20

**4.6 Multiplying Polynomials**

You 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 Review**

1 - 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 & 4

Now 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 Polynomials

You must master Factoring in Chapter 5 for success in Chapter 6.

**5.1 Common Factors**

You 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 Trinomials**

1 - 8, 10 - 12, 14 - 18, 22, 25, 26, 28, 31, 33 - 35

**5.3 Factoring Binomials**

Be 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 Factoring**

When 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 Review**

1, 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 Equations

**6.1 Simplifying Rational Expressions**

Notice: 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 Expressions**

2, 3, 6, 7, 10 - 12, 15 - 17, 19, 20

**6.3 Adding and Subtracting Rational Expressions**

1 - 5, 9 - 13, 17 - 21, 24, 25, 29, 31 - 33, 36

**6.4 Solving Rational Equations**

Note: 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 Equations**

2, 4, 7, 10, 12 (Ratio Problems); 14 - 16, 20, 21, 23 (Work Problems)

**6.6 Direct and Inverse Variation**

Be sure to memorize these two formulas.

1 - 6, 11, 12, 16 - 20

**Chapter Review**

1, 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 & 6

Now 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 Radicals

**7.1 Introduction to Square Roots**

1 - 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 Roots**

1, 3, 4, 7 - 11, 13 - 18, 19 - 24, 25 - 30, 32, 33, 36 - 43, 49, 50

**7.3 Addition and Subtraction of Square Roots**

Notice 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 Roots**

There 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 Roots**

Memorize 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 Review**

1 - 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 |