Intermediate Algebra Handouts
Select Topics with worked examples and practice problems
Algebra Basics and Functions
- Common Errors in Algebra (pdf 16.61 kB)
- Functions, Domain and Range Overview
Laws of Exponents
- Integer Exponents and Division of Monomials (pdf 32.83 kB)
- Law of Exponents (pdf 24.18 kB)
- Simplifying Rational Exponents (pdf 14.30 kB)
Scientific Notation
- Scientific Notation (pdf 37.67 kB)
Evaluating functions
- Evaluate functions with formula (pdf 33.49 kB)
Graphing linear functions
- Graphing Linear Equations by plotting points
- Finding x and y Intercepts
- Equations of lines: slope intercept form & point slope form (pdf 250.49 kB)
Solving linear equations
- Solving Equations in the Form ax +b = c
- Solving Equations in the Form ax +b = cx + d (pdf 41.12 kB)
- Solving Equations With Parentheses
- Solving Equations With Fractions
Linear Inequalities
- Solving Inequalities in the Form x + a < b and ax < b
- Solving General Inequalities
- Solving Linear Inequalities and Compound Inequalities (pdf 97.76 kB)
Linear Systems
- Systems of linear equations (pdf 41.98 kB)
- Systems of linear inequalities (pdf 144.73 kB) (CL#IIC4)
Factoring polynomials
- Monomial Factors
- Factoring by Grouping
- Factoring Trinomials in the Form x^2 + bx + c
- Factoring Trinomials in the Form ax^2 + bx + c
- Factoring Trinomials in the Form ax^2 + bx + c by Grouping
- Special Factoring
- Factoring Summary (pdf 19.13 kB)
Rational Expressions and Equations
- Simplifying Algebraic Fractions (pdf 110.32 kB)
- Simplifying Rational Expressions (pdf 20.28 kB)
- Solving Rational Equations (pdf 69.01 kB)
Radical Expressions and Equations
- Simplifying Radical Expressions (extended sq. root version)
- Simplifying Radical Expressions (pdf 9.21 kB) (short sq. root version)
- Addition and Subtraction of Radical Expressions (pdf 52.97 kB)
- Evaluating & Simplifying Radical Expressions with n th root (pdf 46.47 kB)
- Solving Radical Equations (pdf 53.89 kB)
- Radical Equations (pdf 19.50 kB) - additional practice
Quadratics
- Quadratic Formula (pdf 33.71 kB) (CL #IC8)(with imaginary solutions)
Exam Review
- Final Exam Review (pdf 482.05 kB)
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