Integrated Review Worksheets for Intermediate Algebra for College Students

1. Basic Concepts
   • 1.1 Study Skills for Success in Mathematics, and Using a Calculator
   • 1.2 Sets and Other Basic Concepts
   • 1.3 Properties of and Operations with Real Numbers
   • 1.4 Order of Operations
     • Mid-Chapter Test: Sections 1.11.4
   • 1.5 Exponents
   • 1.6 Scientific Notation
2. Equations and Inequalities
   • 2.1 Solving Linear Equations
   • 2.2 Problem Solving and Using Formulas
   • 2.3 Applications of Algebra
     • Mid-Chapter Test: Sections 2.12.3
   • 2.4 Additional Application Problems
   • 2.5 Solving Linear Inequalities
   • 2.6 Solving Equations and Inequalities Containing Absolute Values
3. Graphs and Functions
   • 3.1 Graphs
   • 3.2 Functions
   • 3.3 Linear Functions: Graphs and Applications
   • 3.4 The Slope-Intercept Form of a Linear Equation
     • Mid-Chapter Test: Sections 3.13.4
   • 3.5 The Point-Slope Form of a Linear Equation
   • 3.6 The Algebra of Functions
   • 3.7 Graphing Linear Inequalities
4. Systems of Equations and Inequalities
   • 4.1 Solving Systems of Linear Equations in Two Variables
   • 4.2 Solving Systems of Linear Equations in Three Variables
   • 4.3 Systems of Linear Equations: Applications and Problem Solving
     • Mid-Chapter Test: Sections 4.14.3
   • 4.4 Solving Systems of Equations Using Matrices
   • 4.5 Solving Systems of Equations Using Determinants and Cramers Rule
   • 4.6 Solving Systems of Linear Inequalities
5. Polynomials and Polynomial Functions
   • 5.1 Addition and Subtraction of Polynomials
   • 5.2 Multiplication of Polynomials
   • 5.3 Division of Polynomials and Synthetic Division
   • 5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping
     • Mid-Chapter Test: Sections 5.15.4
   • 5.5 Factoring Trinomials
   • 5.6 Special Factoring Formulas
   • 5.7 A General Review of Factoring
   • 5.8 Polynomial Equations
6. Rational Expressions and Equations
   • 6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions
   • 6.2 Addition and Subtraction of Rational Expressions
   • 6.3 Complex Fractions
   • 6.4 Solving Rational Equations
     • Mid-Chapter Test: Sections 6.16.4
   • 6.5 Rational Equations: Applications and Problem Solving
   • 6.6 Variation
7. Roots, Radicals, and Complex Numbers
   • 7.1 Roots and Radicals
   • 7.2 Rational Exponents
   • 7.3 Simplifying Radicals
   • 7.4 Adding, Subtracting, and Multiplying Radicals
     • Mid-Chapter Test: Sections 7.17.4
   • 7.5 Dividing Radicals
   • 7.6 Solving Radical Equations
   • 7.7 Complex Numbers
8. Quadratic Functions
   • 8.1 Solving Quadratic Equations by Completing the Square
   • 8.2 Solving Quadratic Equations by the Quadratic Formula
   • 8.3 Quadratic Equations: Applications and Problem Solving
     • Mid-Chapter Test: Sections 8.18.3
   • 8.4 Writing Equations in Quadratic Form
   • 8.5 Graphing Quadratic Functions
   • 8.6 Quadratic and Other Inequalities in One Variable
9. Exponential and Logarithmic Functions
   • 9.1 Composite and Inverse Functions
   • 9.2 Exponential Functions
   • 9.3 Logarithmic Functions
   • 9.4 Properties of Logarithms
     • Mid-Chapter Test: Sections 9.19.4
   • 9.5 Common Logarithms
   • 9.6 Exponential and Logarithmic Equations
   • 9.7 Natural Exponential and Natural Logarithmic Functions
10. Conic Sections
    • 10.1 The Parabola and the Circle
    • 10.2 The Ellipse
      • Mid-Chapter Test: Sections 10.110.2
    • 10.3 The Hyperbola
    • 10.4 Nonlinear Systems of Equations and Their Applications
11. Sequences, Series, and the Binomial Theorem
    • 11.1 Sequences and Series
    • 11.2 Arithmetic Sequences and Series
    • 11.3 Geometric Sequences and Series
      • Mid-Chapter Test: Sections 11.111.3
    • 11.4 The Binomial Theorem

Appendix: Geometric Formulas