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Andreana Grimaldo grew up in New Hampshire and received her Associate’s Degree in Business from Becker College in Massachusetts. She later earned a Bachelor of Science in Mathematics and a Master of Science in Applied Mathematics from Worcester State College. Andreana has taught many levels of math from developmental through calculus, beginning as an individual instructor to at-risk and non-English-speaking students. She started teaching as an adjunct at Quinsigamond Community College in 1990 and became a full-time professor in 2003. In 2007 she was awarded the NISOD Teaching and Leadership Excellence Award. Andreana is a Boston sports fan and her hobbies include golfing, reading, learning, and family activities. Her greatest passions are her family and “figuring out ways to excite students about mathematics.”
Denise Robichaud was born and raised in Massachusetts. She received her Bachelor of Science in Physics from the University of Lowell. She then earned her Master of Science in Physics from Tufts University, where she also earned a Master of Arts in Teaching. Denise started teaching math and physics part-time in 1992, and over the following ten years taught at a variety of institutions including a private high school, as well as 2-year and 4-year colleges. She has been a full-time professor at Quinsigamond Community College since 2002, and in 2007 she was awarded the NISOD Teaching and Leadership Excellence Award. When she is not instructing students, Denise enjoys reading, playing the guitar, exercising, cheering on Boston sports teams, and spending time with family and friends.
R. Review of Prealgebra Skills
R.1 Simplifying Fractions
R.2 Multiplying and Dividing Fractions
R.3 Adding and Subtracting Fractions
R.4 Decimals and Percents
1. The Real Number System
1.1 Real Numbers and the Number Line
1.2 Exponents and Order of Operations
1.3 Variables, Expressions, and Equations
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
1.9 Applications of Real Numbers
2. Equations, Inequalities, and Applications
2.1 Solving Linear Equations: The Addition Property of Equality
2.2 Solving Linear Equations: The Multiplication Property of Equality
2.3 Solving Linear Equations: Fractions, Decimals, and More
2.4 Algebraic Skills Involving Formulas, Geometry, and Proportions
2.5 Introduction to Problem Solving and Linear Applications: Numbers, Geometry, and More
2.6 Applications of Linear Equations: Proportion and Percent Problems
2.7 Solving Linear Inequalities
2.8 Applications of Linear Inequalities
3. Graphing Equations and Inequalities
3.1 Linear Equations in Two Variables: Ax + By = C
3.2 Graphing Linear Equations
3.3 Slope of a Line
3.4 Equations of Lines
3.5 Graphing Linear Inequalities in Two Variables
3.6 Applications of Linear Equations and Inequalities and Their Graphs
3.7 Introduction to Functions
4. Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations: Graphing Method
4.2 Solving Systems of Linear Equations: Substitution Method
4.3 Solving Systems of Linear Equations: Addition Method
4.4 Solving Systems of Linear Inequalities
4.5 Applying Systems of Linear Equations
5. Exponents and Polynomials
5.1 The Product Rule and Power Rules for Exponents
5.2 Integer Exponents and the Quotient Rule
5.3 Introduction to Polynomials
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
5.7 Dividing Polynomials
5.8 Applying Exponents: Scientific Notation
5.9 Applying Polynomials
6. Factoring Polynomials
6.1 The Greatest Common Factor
6.2 Factoring Trinomials of the Form x ^{2} + bx + c
6.3 Factoring Trinomials of the Form ax ^{2} + bx + c
6.4 Special Factoring Techniques
6.5 A General Strategy for Factoring Polynomials
6.6 Solving Quadratic Equations by Factoring
6.7 Applying Quadratic Equations
7. Rational Expressions and Applications
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Simplifying Complex Fractions
7.6 Solving Equations Containing Rational Expressions
7.7 Applying Rational Equations: Numbers, Rates, and Work
7.8 Applying Rational Equations: Variation
8. Roots and Radicals
8.1 Introduction to Radicals
8.2 Simplifying Radicals
8.3 Adding and Subtracting Radicals
8.4 Multiplying and Dividing Radicals
8.5 Solving Equations Containing Radicals
8.6 Applying Radicals
9. Quadratic Equations
9.1 Solving Quadratic Equations Using the Square Root Property
9.2 Solving Quadratic Equations by Completing the Square
9.3 Solving Quadratic Equations Using the Quadratic Formula
9.4 Graphing Quadratic Equations in Two Variables
9.5 Applying Quadratic Equations
Answers
Index