homepage: Dr. Carol JVF Burns

Updated to MathJax 2.2

I started updating my website to MathJax 2.2 on November 7, 2013.
The files shown here have been updated.

Algebra I updates are complete (1–165);   24 of these exercises use JSXGraph
Geometry updates are complete (166–193);   4 of these exercises use JSXGraph
Algebra II updates are complete (194–237);   1 of these exercises uses JSXGraph
Precalculus updates are complete (238–309);   11 of these exercises use JSXGraph
Calculus updates are complete (310–316);   3 of these exercises use JSXGraph

1.Expressions versus Sentences 
2.Basic Addition Practice 
5.Basic Properties of Zero and One 
6.Mixed Basic Add/Subtract/Multiply/Divide Practice 
7.Deciding if a Number is a Whole Number, Integer, etc. 
8.Addition of Signed Numbers 
9.Subtraction of Signed Numbers 
10.Mixed Addition and Subtraction of Signed Numbers 
11.Writing Fractions with a Denominator of 2 in Decimal Form 
12.Average of Two Signed Numbers 
13.Average of Signed Numbers 
14.Identifying Place Values 
15.Multiplying by Powers of Ten 
16.Changing Decimals to Fractions 
17.Multiplying and Dividing Decimals by Powers of Ten 
18.Changing Decimals to Percents 
19.Changing Percents to Decimals 
20.Introduction to Sets 
21.Interval and List Notation 
22.Introduction to Variables 
23.Reading Set Notation 
24.Going From a Sequence of Operations to an Expression 
25.Going From an Expression to a Sequence of Operations 
26.Solving Simple Sentences By Inspection 
27.Using Mathematical Conventions 
28.‘Undoing’ a Sequence of Operations 
29.Solving for a Particular Variable 
30.Direct and Inverse Variation 
31.Scientific Notation 
32.Significant Figures
33.Rewriting Fractions as a Whole Number plus a Fraction 
34.Locating Fractions on a Number Line 
35.Fractions Involving Zero 
36.Finding Reciprocals 
37.Determining if a Product is Positive or Negative 
38.Multiplying and Dividing Fractions 
39.Practice with the form a(b/c) 
40.More Practice with the Form a(b/c) 
41.Renaming Fractional Expressions 
42.Practice with Multiples 
43.Finding Least Common Multiples 
44.Renaming Fractions with a Specified Denominator 
45.Practice with Factors 
46.Adding and Subtracting Fractions 
47.Adding and Subtracting Simple Fractions With Variables 
48.Divisibility Equivalences 
49.Identifying Inequalities as True or False 
50.Bigger, Smaller, Greater, Lesser 
51.Practice with the phrases "at least" and "at most" 
52.Identifying Inequalities with Variables as True or False 
53.Solving Equations of the form $\,xy = 0\,$
54.Recognizing Zero and One 
55.Writing Fractions in Simplest Form 
56.Deciding if a Fraction is a Finite or Infinite Repeating Decimal 
57.Deciding if Numbers are Equal or Approximately Equal 
58.Rounding Decimals to a Specified Number of Places 
59.Tables of Unit Conversion Information (no MathJax) 
60.Classifying Units as Length, Time, Volume, Weight/Mass 
61.Practice with Unit Abbreviations 
62.Practice with Unit Names 
63.Practice with Unit Conversion Information 
64.One-Step Conversions 
65.Multi-Step Conversions 
66.Rate Problems 
67.Work Problems (MathJax not loaded via Javascript) 
68.Practice with Exponents 
69.Practice with Order of Operations 
70.Basic Exponent Practice with Fractions 
71.Practice with "Same Base, Things Multiplied, Add the Exponents" 
72.Practice with "Something to a Power to a Power, Multiply the Exponents" 
73.Practice with "Same Power, Divided, Subtract the Exponents" 
74.Practice with "Negative Power, Gives a Flip" 
75.One-Step Exponent Law Practice 
76.Multi-step Exponent Law Practice 
77.Practice With Radicals 
78.Approximating Radicals 
79.Writing Radicals in Rational Exponent Form 
80.Writing Rational Exponents as Radicals 
81.Practice with Rational Exponents 
82.Practice with $\,x\,$ and $\,-x\,$ 
83.Practice with Products of Signed Variables 
84.Practice with the Distributive Law 
85.Mental Math: Addition 
86.Don't Mix Up $\,3x\,$ versus $\,x^3\,$! 
87.Equal or Opposites? 
88.Recognizing the patterns $\,x^n\,$ and $\,(-x)^n\,$ 
89.Writing Expressions in the Form $\,kx^n\,$ 
90.Writing More Complicated Expressions in the Form $\,kx^n\,$ 
91.Writing Quite Complicated Expressions in the Form $\,kx^n\,$ 
92.Identifying Variable Parts and Coefficients of Terms 
93.Combining Like Terms 
95.Simplifying Expressions like $\,-a(3b - 2c - d)\,$ 
96.Basic FOIL 
97.More Complicated FOIL 
98.Simplifying $\,(a+b)^2\,$ and $\,(a-b)^2\,$ 
99.Simplifying Expressions like $\,(a - b)(c + d - e)\,$ 
100.Practice With the Mathematical Words "and", "or", "is equivalent to" 
101.Recognizing Products and Sums; Identifying Factors and Terms 
102.Identifying Common Factors 
103.Factoring Simple Expressions 
104.Listing All the Factors of a Whole Number 
105.Finding the Greatest Common Factor of 2 or 3 Numbers 
106.Finding the Greatest Common Factor of Variable Expressions 
107.Factoring out the Greatest Common Factor 
108.The Addition Property of Equality 
109.The Multiplication Property of Equality 
110.Solving Simple Linear Equations with Integer Coefficients
111.Solving More Complicated Linear Equations with Integer Coefficients
112.Solving Linear Equations Involving Fractions
113.Solving Linear Equations, all mixed up
114.Simple Word Problems resulting in Linear Equations 
115.Solving Simple Linear Inequalities with Integer Coefficients
116.Solving Linear Inequalities with Integer Coefficients
117.Solving Linear Inequalities Involving Fractions
118.Solving Linear Inequalities, all mixed up
119.Simplifying Basic Absolute Value Expressions 
120.Determining the Sign (positive or negative) of Absolute Value Expressions 
121.Solving Simple Absolute Value Sentences
122.Solving Sentences Involving "Plus or Minus"
123.Solving Absolute Value Equations
124.Solving Absolute Value Inequalities Involving "Less Than"
125.Solving Absolute Value Inequalities Involving "Greater Than"
126.Solving Absolute Value Sentences, All Types
127.Identifying Perfect Squares 
128.Writing Expressions in the form $\,A^2\,$ 
129.Factoring a Difference of Squares 
130.Solving Simple Equations Involving Perfect Squares
131.Solving More Complicated Equations Involving Perfect Squares
132.Translating Simple Mathematical Phrases 
133.Word Problems Involving Perfect Squares 
134.Basic Concepts Involved in Factoring Trinomials 
135.Factoring Trinomials (coefficient of x^2 term is 1, constant term is positive) 
136.Factoring Trinomials (coefficient of x^2 term is 1, constant term is negative) 
137.Factoring Trinomials, All Mixed Up
138.Identifying Quadratic Equations 
139.Writing Quadratic Equations in Standard Form 
140.Solving Simple Quadratic Equations by Factoring
141.Factoring Trinomials (coefficient of squared term is not 1)
142.Solving More Complicated Quadratic Equations by Factoring
143.Multiplying and Dividing Fractions with Variables
144.Adding and Subtracting Fractions With Variables 
145.Writing expressions involving percent increase and decrease 
146.Calculating Percent Increase and Decrease 
147.Problems involving percent increase and decrease 
148.More Problems Involving Percent Increase and Decrease 
149.Locating Points in Quadrants and on Axes 
150.Practice With Points 
151.the Pythagorean Theorem
152.the Distance Formula 
153.the Midpoint Formula 
154.Introduction to Equations and Inequalities in Two Variables 
155.Introduction to the Slope of a Line 
156.Practice With Slope 
157.Graphing Lines 
158.Finding Equations of Lines 
159.Point-Slope Form 
160.Horizontal and Vertical Lines 
161.Parallel and Perpendicular lines 
162.Introduction to Functions 
163.Introduction to Function Notation 
164.More Practice with Function Notation 
165.Domain and Range of a Function 
166.Introduction to Geometry: Points, Lines, and Planes 
167.Segments, Rays, Angles 
168.Introduction to Polygons 
169.Interior and Exterior Angles in Polygons 
171."If ... Then ..." Sentences 
172.Contrapositive and Converse 
173.Proof Techniques 
174.Logical Equivalences and Practice with Truth Tables 
175.Applying Logical Equivalences to Algebraic and Geometric Statements 
177.Introduction to the Two-Column Proof 
178.the Pythagorean Theorem
179.More Terminology for Segments and Angles 
180.Angles: Complementary, Supplementary, Vertical, and Linear Pairs 
181.Equivalence Relations 
182.Triangle Congruence 
183.Relationships Between Angles and Sides in Triangles 
184.Practice with Two-Column Proofs 
185.Is there an "SSA" Congruence Theorem? NO! 
186.More on Exterior Angles in Triangles 
187.Parallel Lines 
188.Parallelograms and Negating Sentences 
189.Introduction to Area and Perimeter 
190.Area Formulas: Triangle, Parallelogram, Trapezoid
191.Similarity, Ratios, and Proportions 
192.Perimeters and Areas of Similar Polygons 
193.Two Special Triangles
194.Introduction to Recursion and Sequences 
195.Arithmetic and Geometric Sequences 
196.Loans and Investments 
197.Compound Interest Formula 
198.Graphs of Functions 
199.Basic Models You Must Know 
200.Graphical Interpretation of Sentences like $\,f(x)=0\,$ and $\,f(x)>0\,$ 
201.Graphical Interpretation of Sentences like $\,f(x)=g(x)\,$ and $\,f(x)>g(x)\,$ 
202.Composition of Functions 
203.Advanced Set Concepts 
204.Basic Probability Concepts 
205.More Probability Concepts 
206.Probability Tree Diagrams
207.Choosing Things: Does Order Matter? 
208.Factorial Notation 
209.Combinations and Permutations 
210.Summation Notation 
211.Mean, Median, and Mode 
212.Measures of Spread 
213.Introduction to Systems of Equations 
214.Solving Systems Using Substitution 
215.Solving Systems Using Elimination 
216.Simple Word Problems resulting in a System of Equations 
217.Introduction to Matrices 
218.Basic Arithmetic With Matrices 
219.Multiplying Matrices 
220.Graphing Tools: Vertical and Horizontal Translations 
221.Graphing Tools: Vertical and Horizontal Scaling 
222.Graphing Tools: Reflections and the Absolute Value Transformation 
223.Graphical Transformations: All Mixed Up 
225.Equations of Simple Parabolas 
226.Quadratic Functions and the Completing the Square Technique 
227.Algebraic Definition of Absolute Value 
228.The Quadratic Formula 
229.Complex Numbers 
230.Arithmetic with Complex Numbers 
231.Equations of Circles 
232.Introduction to Logarithms 
233.Properties of Logarithms 
234.Change of Base Formula for Logarithms 
235.Introduction to Logarithmic Functions 
236.Introduction to Exponential Functions 
237.Introduction to Polynomials 
238.Prerequisites: Language of Mathematics Essentials 
239.Prerequisites: Function Review; Difference Quotients 
240.Solving Linear Inequalities in One Variable
241.Solving Nonlinear Inequalities in One Variable (introduction) 
242.The Test Point Method for Sentences Like: $\,f(x) > 0\,$
243.The Test Point Method for Sentences Like: $\,f(x) > g(x)\,$
244.he Test Point Method in a Nutshell, and Additional Practice 
245.Absolute Value as Distance From Zero
246.Absolute Value as Distance Between Two Numbers
247.Circles and the Completing the Square Technique
248.Review of Lines and Slopes of Lines 
249.Review of Coordinate Geometry: the Distance Formula, the Midpoint Formula 
250.Sketching Regions in the Coordinate Plane
251.Testing Equations for Symmetry
252.More on Difference Quotients 
253.Finding the Domain and Range of a Function 
254.Working with Linear Functions: Finding a New Point, Given a Point and a Slope 
255.Reading Information from the Graph of a Function
256.Increasing and Decreasing Functions 
257.Basic Function Models You Must Know
258.Piecewise-Defined Functions 
259.Direct and Inverse Variation 
260.Proportionality Problems 
261.What is the Graph of $\,y = f(x)\,$? 
262.Shifting Graphs Up/Down/Left/Right 
263.Horizontal and Vertical Stretching/Shrinking 
264.Reflecting About Axes, and the Absolute Value Transformation 
265.Multi-Step Practice with all the Graphical Transformations 
266.Even and Odd Functions 
267.Extreme Values of Functions (Max/Min)
268.Review of Quadratic Functions: Vertex Form, Max/Min, Intercepts, More 
269.Max/Min Problems Resulting in Quadratic Functions 
270.Combining Functions to get New Functions 
271.Composition of Functions 
272.Writing a Function as a Composition 
273.Using a Function Box Backwards 
274.One-to-One Functions 
275.Undoing a One-to-One Function; Inverse Functions 
276.Properties of Inverse Functions 
277.Finding Inverse Functions (when there's only one x in the formula) 
278.Finding Inverse Functions (switch input/output names method) 
279.The Graph of an Inverse Function 
280.Introduction to Polynomials 
281.Relationship Between the Zeros (Roots) and Factors of Polynomials 
282.End Behavior of Polynomials 
283.Turning Points of Polynomials 
284.Long Division of Polynomials 
285.the Division Algorithm 
286.Synthetic Division 
287.the Remainder Theorem 
288.Trapping the Roots of a Polynomial 
289.Introduction to Complex Numbers 
290.Arithmetic with Complex Numbers 
291.The Square Root of a Negative Number 
292.The Complex Conjugate 
293.The Quadratic Formula Revisited; the Discriminant 
294.Multiplicity of Zeros and Graphical Consequences 
295.Discussion: Graphing Polynomials with Technology 
296.Solve an Equation? Find a Zero? Your Choice! 
297.the Fundamental Theorem of Algebra 
298.Polynomials with Real Number Coefficients 
299.Solving Polynomial Equations 
300.Introduction to Rational Functions 
301.Introduction to Asymptotes 
302.Introduction to Puncture Points (holes) 
303.Finding Vertical Asymptotes 
304.Puncture Points (holes) 
305.Finding Horizontal Asymptotes 
306.Finding Slant Asymptotes 
307.Exponential Functions: Review and Additional Properties 
308.Linear versus Exponential Functions 
309.Recognizing Linear and Exponential Behavior from Tables of Data 
310.Average Rate of Change
311.Introduction to Limits
312.Basic Differentiation Shortcuts (differentiating constants and linear functions; the Simple Power Rule)
313.Differentiation Formula Practice 
314.Mixed Differentiation Practice 
315.Mixed Differentiation Practice (strict parentheses version) 
316.Mixed Integration Practice