Algebra Worksheets 

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Topic or Concept 
Handouts & Worksheets 
Solutions (if available) 
Sectionbysection class notes that refer to a specific book but can be used independent of it  Elementary Algebra Class Notes (First Half of Class)  
Sectionbysection class notes that refer to a specific book but can be used independent of it  Elementary Algebra Class Notes (Second Half of Class)  
Sectionbysection class notes that refer to a specific book but can be used independent of it  Intermediate Algebra Class Notes (First Half of Class)  
Sectionbysection class notes that refer to a specific book but can be used independent of it  Intermediate Algebra Class Notes (Second Half of Class)  
Sectionbysection class notes that refer to a specific book but can be used independent of it  College Algebra Class Notes (Current Sullivan book)  
Sectionbysection class notes with accompanying videos that refer to a specific book but can be used independent of it  College Algebra Class Notes (Bittinger, et al book)  
Review document I wrote for College algebra covering how I think through problems ranging from solving equations to lines to asymptotes to exponential functions and more  Main points of discussion (31.2 KB)  
Complete semester of PowerPoints with audio  College Algebra Multimedia Tutorials  
Reviews finding equations of lines, slope, graphing, and x and yintercepts  Review: Linear
relationships (PowerPoint presentation) 

Examples of analytic geometry problems involving maximums and minimums  Mathematical models (PowerPoint presentation)  
Quick linear application of revenue, cost, and profit; also analyze using the graphs  Candle Problem: Revenue and Cost  
Order of operations  PEMDAS  PEMDAS Solutions 
This video is a story from TECH.BIN, our student television show from ISU. It introduces the Carchip that is featured in the following worksheet.  Carchip video (Dialup speed modem  1.48 MB) Carchip video (DSL speed modem  10.7 MB) 

Explore and interpret basic graphs using software that evaluates a car's performance  Carchip worksheet  Carchip worksheet Solutions 
Definitions of real numbers and integers, Closure, Commutative, Associative, and Distributive Properties, Factoring  Properties of real numbers 1  Properties of real numbers 1 Solutions 
Same as above but lots more discussion and pratice with algebraic fractions (rational expressions)  Properties of real numbers Solutions  
Investigate why you can cancel common factors from a fraction but not common terms; also defines these words  Factors versus terms  
Area model to help visualize why FOIL works  Understanding FOIL  
Acquaint yourself with the graphs of basic functions: square, cube, identity, absolute value, reciprocal, square root, and greatest integer functions  Library of functions  
Investigate slope and how linear relationships use it  Understanding slope  
Slope of parallel and perpendicular lines  Parallel and perpendicular lines  
Understand what a linear equation tells us about the variables x and y  Relationship between x and y  
Linear relationships of cost and revenue including breakeven point  Linear function applications  Linear function applications Solutions 
Solving linear equations by undoing what was done to the variable  Solving linear equations  Solving linear equations Solutions 
Same as above but includes nonlinear equations too  Solving equations  Solving equations Solutions 
Using variables in beginning story problems  Story Problem Pieces  Story Problem Pieces Solutions 
Using variables in more complex story problems  Story Problem Pieces  Story Problem Pieces Solutions 
Story problems involving dimensions of a rectangle and split simple interest accounts  Group DoThis 1.4  Group DoThis 1.4 Solutions 
Assorted story problems including workrate, mixture, percentages, simple interest, area of rectangles, and distancerate  Story problems practice  Story problems practice Solutions 
Guided examples os story problems including wage rate, rectangle perimeter, mixture, and simple interest  Story problems are my friends  
Use pictures to help understand what is going on in mixture problems  Mixture problems: Salt concentration  Mixture problems Solutions: Salt concentration 
Covers the basic idea of function and function notation  Investigating functions Solutions  
Interpret functional notation, determine function values, and determine the domain and range of functions  Investigating functions 2  Investigating functions 2 Solutions 
Understand the formulas for simple and compound interest; practice problems too  Simple and compound interest  
Complete to make cheatsheet for interest and annuities formulas, including effective rate of interest  Interest and annuities  
Exponent rules  Discovering the rules of exponents  
Rules for telling if a number is divisible by another  Rules for Divisibility  
General tips for factoring trinomials  Tips for factoring trinomials of the form x^2 + bx + c  
Better understand the factoring process by creating your own trinomial  PairDoThis 6.2  
A good introduction to what factoring does for us and the second most popular method for factoring trinomials  Factoring trinomials: Part 1: Introduction, Factoring by grouping, and AC Method  
The most common way to factor a trinomial; also called Trialanderror  Factoring trinomials: Part 2: Reverse FOIL Method  
Similar to the Reverse FOIL method but written differently  Factoring trinomials: Part 3: Crossproduct method and Wrapup  
Wacky but neat  Factoring trinomials: Part 4: Upside Down method  
Use the calculator to find the numbers needed for the AC method  Factoring trinomials: Using the Calculator (TI82, 83, and 84) to Help with the AC Method  
Practice solving quadratic equations by factoring  Practice solving by factoring problems  Practice solving by factoring problems Solutions 
Investigates the quadratic relationship in Can you figire the initial velocity of the ball? including how to answer the question on the Flash problem  Quadratic equations practice  Quadratic equations practice Solutions 
Investigate the connection between a function's discriminant and the number of xintercepts its graph has by creating your own examples  Discriminants and xintercepts  Discriminants and xintercepts Solutions 
Investigate the values and number of solutions of a quadratic equation; refers to the calculator program QUADRATC found under Calculator Worksheets; also practice finding the solutions by hand using the quadratic formula  Three possibilities for a quadratic equation  Three possibilities for a quadratic equation Solutions 
Stepbystep example of using the quadratic formula to solve an equation  Quadratic Formula Example: Solving a quadratic equation  
Quick practice solving inequalities  Practice solving inequality problems  Practice solving inequality problems Solutions 
Solving linear inequalities and using interval notation for solutions  Inequalities and you 1  Inequalities and you 1 Solutions 
Solve inequalities both algebraically and graphically  Inequalities and you 2 Solutions  
Solve inequalities that involve absolute value, rational, and polynomial expressions including graphical solutions  Inequalities and you 3  Inequalities and you 3 Solutions 
Investigates x and yintercepts, vertex, and if parabola opens up or down (orientation) for quadratic functions  Quadratic functions: Orientation, vertex, and yintercept  Quadratic functions: Orientation, vertex, and yintercept Solutions 
Practice finding vertices and orientation of parabolas (graphs of quadratic functions) including an application problem  Quadratic functions: Maximums and minimums practice  Quadratic functions: Maximums and minimums practice Solutions 
Practice finding x and yintercepts, vertex, and orientation for quadratic functions; also practice graphically solving quadratic equations  Quadratic functions practice  Quadratic functions practice Solutions 
An introduction to the transformation worksheets that follow  Transformations (PowerPoint presentation)  
Explore the vertical and horizontal shifts, vertical stretch and compression, and reflections about the x or y axes transformations through graphing  Transformations  
Practice some individual and one combined transformations  Transformations 2  
Quick practice for recalling basic functions and transformations  Library of functions and transformations 2  
Practice adding, subtracting, dividing, and composing two functions; also investigate domains  Functions: Composition and operations  Functions: Composition and operations Solutions 
Practice problems including an application of the composition of functions  Composition of functions  
Given two or more equations, you need to find the point that satisfies all equations  Solving linear systems graphically (Includes a discussion of how to write infinite solutions)  
Same worksheet as above but skips over how to write infinite solutions  Solving linear systems graphically  
How to use the calculator to find solutions to these systems  Solving systems of equations graphically: Calculator worksheet  
Understand why simplifying fractions works and when not to do it  Simplifying rational expressions: Cancelling common factors  
Example of a complicated multiplication problem involving radicals  Explanation of Radical Multiplication Problem  
Solving radical equations, focusing on the order you do the steps  Radical equations: Verbal model worksheet  
Explore why we algebraically solve absolute value equations the way we do  Solving absolute value equations  
Explore the methods for solving absolute value and radical equations including graphically  Solving absolute value and radical equations  Solving absolute value and radical equations Solutions 
Find where a graph's yvalues increase or decrease, writing the answers in interval notation  Increasing and decreasing functions  Increasing and decreasing functions Solutions (Solutions to older version but still useful for most of worksheet) 
Understand and denote the four types of end behavior for power functions  Power functions: End behavior  
Understand why you can find the end behavior of a polynomial function by looking at its leading term which is a power function  Connection between polynomial and power functions  
Understand and denote the four types of end behavior for polynomial functions  Polynomial functions: End behavior  Polynomial functions: End behavior Solutions 
Create cheatsheet for the Remainder Theorem, Factor Theorem, Descartes' Rule of Signs, and other  Zeroes of polynomial functions  
Understand why and where vertical asymptotes exist on the graphs of rational functions  Rational functions: Vertical asymptotes  
Understand why and where horizontal (and oblique) asymptotes occur on the graphs of rational functions  Rational functions: Horizontal and oblique asymptotes  
Connects the solutions to an equation gotten by algebraic or graphical means; also investigates the difference between finding roots (or zeros) versus the intersections for an equation  Making connections Solutions: Algebraic and graphical solutions  
Operating with complex numbers and using them for the solution to a quadratic equation  Manipulating Complex Numbers  Manipulating Complex Numbers Solutions 
Powers of i and operating with complex numbers  Manipulating Complex Numbers 2  Manipulating Complex Numbers 2 Solutions 
Understanding and finding the inverse of a function, including restricting its domain  Inverses of functions  
same as above  Inverses of functions 2  
Understand how the idea of inverses can be used in solving equations  Solving equations using inverses  
Practice interpreting logarithms  DoThis 4.4  DoThis 4.4 Solutions 
Work through deriving the logarithm rules  Logarithm rules worksheet  Logarithm rules worksheet Solutions 
Develop the log functions by seeing them as the inverse of exponential functions; also work through understanding the rules of logarithms  Visiting with exponential and logarithmic functions  
Explores a Flash problem (accessed from home page) concerning a geometric sequence and its exponential graph  Limits and the Bouncing Ball  
Explore different methods of solving an exponential equation  DoThis 4.6  
Explores what makes an exponential function increase or decrease; also practices rules of exponents and using e on the calculator  Working with exponential functions  Working with exponential functions Solutions 
Plot an exponential function and then find its inverse  Logarithmic / Exponential relationship  
Derive the equation of an exponential function from a table of values  Additional Examples of Exponential Functions  
Explores the intensity of sound, a logarithm application  Logarithmic and exponential applications: Intensity of sound  Logarithmic and exponential applications: Intensity of sound Solutions 
Exploration of the continuous compounding interest formula; guided examples for solving compound interest problems  Logarithmic / Exponential applications: Compound interest  
Explores exponential decay and growth, an application of exponential functions  Logarithmic and exponential applications: Exponential decay and growth  Logarithmic and exponential applications: Exponential decay and growth Solutions 
Solve exponential applications involving radioactive decay  DoThis 4.8  
Practice solving log equations by using the log rules with stepbystep instructions; also practice solving by graphical means  Using log rules to solve equations  
Compare and contrast solving exponential and logarithmic equations by different methods  Solving exponential and logarithmic equations  Solving exponential and logarithmic equations Solutions 
Practice operating with matrices  DoThis 5.4: Matrix arithmetic  
Practice verifying a matrix' inverse  DoThis 10.4: Matrix inverses  
Guided practice using partial fraction decomposition to rewrite a rational expression  Partial fraction decomposition  
Explore the graphical natures of the parabola, elllipse, and hyperbola  Conic Sections Worksheet (271 KB)  
Explores an exponential relationship (found under Flash Problems from the home page of this website) using the language and notation of sequences and series  Sequences and series 