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https://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