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Luttrell  2012 

4

 

7i – Solving Radical Equations .............................................................................................................................. 110

 

Chapter 7 Test ........................................................................................................................................................ 111

 

Chapter 8 Expanding & Solving Polynomials ........................................................................................................... 113

 

8a – Multipl

y

ing Pol

y

nomials ................................................................................................................................ 114

 

8b – Factoring ........................................................................................................................................................ 115

 

8c – Factoring ........................................................................................................................................................ 116

 

8d – Factoring ........................................................................................................................................................ 117

 

8e – Solve b

y

 Factoring ......................................................................................................................................... 118

 

8f – Difference of Squares ..................................................................................................................................... 119

 

8g – More Practice Factoring ................................................................................................................................ 120

 

8h –Quadratic Formula .......................................................................................................................................... 121

 

8i – more Quadratic Formula ................................................................................................................................. 122

 

8j – Graphing Quadratics ....................................................................................................................................... 123

 

8k – Graphing Quadratics ...................................................................................................................................... 124

 

8L – Quadratic Word Problems ............................................................................................................................. 125

 

8m –Comple

x

 Numbers ......................................................................................................................................... 126

 

8n –Comple

x

 Numbers continued .......................................................................................................................... 127

 

Chapter 8 Test ........................................................................................................................................................ 128

 

 

Algebra Cumulative Review...................................................................................................................................... 130

 

 

Appendix ................................................................................................................................................................... 131

 

1 Sets and Operations of Numbers ........................................................................................................................ 132

 

2 Functions and Relations ...................................................................................................................................... 133

 

3 - Linear Functions ............................................................................................................................................... 134

 

4- Systems of Linear Functions ............................................................................................................................. 135

 

5 - Quadratic Functions ......................................................................................................................................... 136

 

6a - Exponentials ................................................................................................................................................... 137

 

6b - Logarithmic Functions ................................................................................................................................... 138

 

6c - Solving Logarithmic Functions ...................................................................................................................... 139

 

7 - Rational Functions ............................................................................................................................................ 140

 

8 - Irrational Functions .......................................................................................................................................... 141

 

9 - Polynomials of any Degree .............................................................................................................................. 142

 

 

Final Exam................................................................................................................................................................. 144

 

 

Answer Key ............................................................................................................................................................... 155

 

 
 
 

Acknowledgements 

 
I want to acknowledge that this booklet does not contain all the worksheets needed to cover the entire algebra 
curriculum.  This book began ten years ago when I assisted a colleague, Dr. Keith Calkins, remediate high school 
students entering a rigorous advanced mathematics program.  The worksheets I developed then focused on common 
weak areas my students needed to strengthen.  Since that time I worked a couple of years with Dr. Lynelle Weldon 
who directed the task to remediate university students before placing them into university mathematics courses.  A 
few of her study guides became a blue print for a few of mine and those got inserted into this book as well.  Then I 
spent three years developing a two-year pre-algebra course for a combined seventh and eighth grade class.  Since 
there was always an influx of new students each year, the curriculum was the same each year with the difference 
only in the activities and worksheets.  The worksheets I developed were for certain days when I could find no 
resources on hand for what I wanted the students to master.  These worksheets found their way into this book as 
well.  So you can conclude that this booklet you are perusing is a compilation of ten years of supplemental writing.  
Hopefully you will find it useful.  
 
I want to thank Dr Calkins and Dr Weldon for their inspiration and their examples!  Pun intended. 

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Essentials to Mathematics Arithmetic and Algebra Worksheets

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