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ADDING, SUBTRACTING, MULTIPLYING AND DIVIDING INTEGER WORKSHEETS

adding subtracting multiplying dividing integers   free worksheets on fraction reduce to lowest terms and changing fractions to higher terms on a sixth grade level,   free advanced algebra add subtract rational expressions,   adding, subtracting, multiplying, dividing integers  
Thank you for visiting our site! You landed on this page because you entered a search term similar to this: 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

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Algebrator can solve problems in all the following areas:

  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • operations with complex numbers (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • operations with matrices (adding, subtracting, multiplying, inverse...)
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)


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