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http://www.onemathematicalcat.org, Tree of Math, Dr. Carol JVF Burns, copyright 2016
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ALGEBRA PINBALL

row # ALGEBRA PINBALL EXERCISE    
1 Expressions versus Sentences    
2 Basic Addition Practice    
3 Multiplication    
4 Divisibility    
5 Mixed Basic Add/Subtract/Multiply/Divide Practice    
6 Deciding if a number is a whole number, an integer, etc.    
7 Addition of Signed Numbers    
8 Subtraction of Signed Numbers    
9 Mixed Addition and Subtraction of Signed Numbers    
10 Writing Fractions with a Denominator of 2 in Decimal Form    
11 Average of Two Signed Numbers    
12 Average of Three Signed Numbers    
13 Identifying Place Values    
14 Multiplying by Powers of Ten    
15 Changing Decimals to Fractions    
16 Multiplying and Dividing Decimals by Powers of Ten    
17 Changing Decimals to Percents    
18 Changing Percents to Decimals    
19 Interval and List Notation    
20 Reading Set Notation    
21 Solving Simple Sentences By Inspection    
22 Using Mathematical Conventions    
23 Rewriting Fractions as a Whole Number Plus a Fraction    
24 Locating Fractions on a Number Line    
25 Fractions Involving Zero    
26 Finding Reciprocals    
27 Determining if a Product is Positive or Negative    
28 Multiplying and Dividing Fractions    
29 Practice with the Form a(b/c)    
30 More Practice with the Form a(b/c)    
31 Practice With Multiples    
32 Finding Least Common Multiples    
33 Renaming Fractions with a Specified Denominator    
34 Practice With Factors    
35 Adding and Subtracting Fractions    
36 Divisibility Equivalences    
37 Prime Numbers    
38 Relatively Prime Numbers and Related Concepts    
39 Identifying Inequalities as True or False    
40 Practice with the Phrases "at least" and "at most"    
41 Identifying Inequalities with Variables as True or False    
42 Solving Equations of the form $\,xy = 0$    
43 Recognizing Zero and One    
44 Writing Fractions in Simplest Form    
45 Deciding if a Fraction is a Finite or Infinite Repeating Decimal    
46 Deciding if Numbers are Equal or Approximately Equal    
47 Rounding Decimals to a Specified Number of Places    
48 Classifying Units as Length, Time, Volume, Weight/Mass    
49 Practice with Unit Abbreviations    
50 Practice with Unit Names    
51 Practice with Unit Conversion Information    
52 One-Step Conversions    
53 Practice with Exponents    
54 Practice with Order of Operations    
55 Taking PEMDAS Too Literally: Don't Make This Mistake!    
56 Basic Exponent Practice with Fractions    
57 practice with $x^mx^n = x^{m+n}$    
58 practice with $(x^m)^n = x^{mn}$    
59 practice with $\displaystyle\frac{x^m}{x^n} = x^{m-n}$    
60 practice with $\displaystyle x^{-p} = \frac{1}{x^p}$    
61 one-step exponent law practice    
62 Multi-Step Exponent Law Practice    
63 practice with radicals    
64 approximating radicals    
65 practice with rational exponents    
66 practice with $\,x\,$ and $\,-x\,$    
67 practice with products of signed variables    
68 practice with the distributive law    
69 mental math: addition    
70 equal or opposites?    
71 recognizing the patterns $\,x^n\,$ and $\,(-x)^n\,$    
72 writing expressions in the form $\,kx^n$    
73 writing more complicated expressions in the form $\,kx^n$    
74 writing quite complicated expressions in the form $\,kx^n$    
75 identifying variable parts and coefficients of terms    
76 combining like terms    
77 simplifying expressions like $\,-a(3b-2c-d)$    
78 basic FOIL    
79 more complicated FOIL    
80 simplifying $\,(a+b)^2\,$ and $\,(a - b)^2$    
81 simplifying expressions like $\,(a-b)(c + d - e)$    
82 practice with the mathematical words and, or,
and is equivalent to
   
83 recognizing products and sums; identifying factors and terms    
84 identifying common factors    
85 factoring simple expressions    
86 listing all the factors of a whole number    
87 finding the greatest common factor of 2 or 3 numbers    
88 finding the greatest common factor of variable expressions    
89 factoring out the greatest common factor    
90 solving simple linear equations with integer coefficients    
91 solving more complicated linear equations with integer coefficients    
92 solving linear equations involving fractions    
93 solving linear equations, all mixed up    
94 simplifying basic absolute value expressions    
95 determining the sign (plus or minus) of absolute value expressions    
96 identifying perfect squares    
97 factoring trinomials    
98 identifying quadratic equations    
99 Factoring Trinomials of the Form $\,ax^2 + bx + c\,$    
100 Writing Expressions Involving Percent Increase and Decrease