In Summer 2016, two self-motivated seventh-graders
started going through my online curriculum.

Use this page to see Algebra Pinball times that are reasonable for middle-schoolers.

# ALGEBRA PINBALL

‘Algebra Pinball’ is a collection of algebra and pre-algebra exercises with an option to time yourself.
Chart progress towards mastery by your increasingly faster times!
Make it social with a fun family or classroom competition.
Master these exercises and ace algebra!

 # inAlg Icourse SECTION(read full text, pdf files) ALGEBRA PINBALL EXERCISE PETER/RONAlgebra Pinball times CONCEPTQUESTIONS (check off whensatisfactory score is achieved) 1 The Language of Mathematics, and separate solutions Expressions versus Sentences May 24, 2016 5.4 seconds per correct problem ✓ 2 Brushing Up On Basic Arithmetic Skills (solutions are included) Basic Addition Practice May 24, 2016 4.3 seconds per correct problem ✓ 3 Brushing Up On Basic Arithmetic Skills Multiplication May 24, 2016 2.3 seconds per correct problem (all facts included, with variables) ✓ 4 Brushing Up On Basic Arithmetic Skills Divisibility May 30, 2016 10.2 seconds per correct problem ✓ 5 Brushing Up On Basic Arithmetic Skills Basic Properties of Zero and One (no timed exercise) ✓ 6 Brushing Up On Basic Arithmetic Skills Mixed Basic Add/Subtract/Multiply/Divide Practice June 1, 2016 4.1 seconds per correct problem (no concept questions) 7 The Real Numbers Deciding if a Number is a Whole Number, an Integer, etc. June 1, 2016 5.2 seconds per correct problem ✓ 8 Addition of Signed Numbers Addition of Signed Numbers June 2, 2016 7.1 seconds per correct problem ✓ 9 Subtraction of Signed Numbers Subtraction of Signed Numbers June 13, 2016 9.9 seconds per correct problem ✓ 10 (see prior two sections) Mixed Addition and Subtraction of Signed Numbers June 15, 2016 11.8 seconds per correct problem (no concept questions) 11 Average Writing Fractions with a Denominator of 2 in Decimal Form June 15, 2016 7.3 seconds per correct problem (no concept questions) 12 Average Average of Two Signed Numbers June 17, 2016 11.8 seconds per correct problem ✓ 13 Average Average of Signed Numbers June 17, 2016 10.2 seconds per correct problem ✓ 14 The Base Ten Number System Identifying Place Values June 20, 2016 5.6 seconds per correct problem (no concept questions) 15 The Base Ten Number System Multiplying By Powers of Ten June 20, 2016 8.4 seconds per correct problem (no concept questions) 16 Decimals Changing Decimals to Fractions June 20, 2016 17.6 seconds per correct problem (no concept questions) 17 Decimals Multiplying and Dividing Decimals by Powers of Ten June 20, 2016 26.0 seconds per correct problem (no concept questions) 18 Decimals Changing Decimals to Percents June 22, 2016 10.9 seconds per correct problem (no concept questions) 19 Decimals Changing Percents to Decimals June 22, 2016 18.3 seconds per correct problem (no concept questions) 20 Mathematicians are Fond of Collections, and separate solutions Introduction to Sets (no timed exercise) ✓ 21 Mathematicians are Fond of Collections, and separate solutions Interval and List Notation July 1, 2016 11.3 seconds per correct problem (no concept questions) 22 Holding This, Holding That, and separate solutions Introduction to Variables (no timed exercise) ✓ 23 Holding This, Holding That, and separate solutions Reading Set Notation July 6, 2016 14.1 seconds per correct problem (no concept questions) 24 Holding This, Holding That, and separate solutions Going From a Sequence of Operations to an Expression (no timed exercise) ✓ 25 Holding This, Holding That, and separate solutions Going From an Expression to a Sequence of Operations (no timed exercise) ✓ 26 Holding This, Holding That, and separate solutions Solving Simple Sentences By Inspection July 8, 2016 13.7 seconds per correct problem (no concept questions) 27 Holding This, Holding That, and separate solutions Using Mathematical Conventions July 8, 2016 9.4 seconds per correct problem (no concept questions) 28 ‘Undoing’ a Sequence of Operations (no timed exercise) ✓ (July 13, 2016) 29 Solving for a Particular Variable (no timed exercise) ✓ (July 13, 2016) 30 Getting Bigger? Getting Smaller?(Direct and Inverse Variation) (no timed exercise) ✓ (July 15, 2016) 31 Scientific Notation (no timed exercise) ✓ (July 25, 2016) 32 Significant Figures and Related Concepts (no timed exercise) ✓ (July 27, 2016) 32.5 A Conundrum: When is Equal, Not Equal?Or When is Not Equal, Equal? (no timed exercise) Conundrum solved! July 29, 2016 33 Introduction to Fractions Rewriting Fractions as a Whole Number plus a Fraction July 29, 2016 12.1 seconds per correct problem (no concept questions) 34 Introduction to Fractions Locating Fractions on a Number Line July 29, 2016 16.2 seconds per correct problem (no concept questions) 35 Introduction to Fractions Fractions Involving Zero July 29, 2016 2.6 seconds per correct problem (no concept questions) 36 Multiplying Fractions Finding Reciprocals August 1, 2016 8.4 seconds per correct problem (no concept questions) 37 Multiplying Fractions Determining if a Product is Positive or Negative August 1, 2016 5.0 seconds per correct problem (no concept questions) 38 Multiplying Fractions Multiplying and Dividing Fractions August 3, 2016 14.9 seconds per correct problem (no concept questions) 39 Multiplying Fractions Practice with the Form $\,a\cdot\frac{b}{c}$ August 3, 2016 5.2 seconds per correct problem (no concept questions) 40 Multiplying Fractions More Practice with the Form $\,a\cdot\frac{b}{c}$ August 10, 2016 10.6 seconds per correct problem (school started; went to once/week) (no concept questions) 41 Multiplying Fractions Renaming Fractional Expressions (no timed exercise) ✓ August 10, 2016 42 Adding Fractions Practice with Multiples August 24, 2016 3.8 seconds per correct problem (no concept questions) 43 Adding Fractions Finding Least Common Multiples August 24, 2016 5.5 seconds per correct problem (no concept questions) 44 Adding Fractions Renaming Fractions with a Specified Denominator August 24, 2016 9.3 seconds per correct problem (no concept questions) 45 Adding Fractions Practice with Factors August 24, 2016 4.7 seconds per correct problem (no concept questions) 46 Adding Fractions Adding and Subtracting Fractions August 24, 2016 16.6 seconds per correct problem (no concept questions) 47 Adding Fractions Adding and Subtracting Simple Fractions With Variables (no timed exercise) ✓ October 5, 2016 48 Adding Fractions Divisibility Equivalences October 5, 2016 8.7 seconds per correct problem (no concept questions) 48a Prime Numbers October 5, 2016 5.7 seconds per correct problem ✓ October 5, 2016 48b the Prime Factorization Theorem (no timed exercise) ✓ November 30, 2016 48c Relatively Prime Numbers and Related Concepts December 21, 2016 9.8 seconds per correct problem ✓ December 14, 2016 49 I Live Two Blocks West of You, and separate solutions Identifying Inequalities as True or False December 21, 2016 6.2 seconds per correct problem (no concept questions) 50 I Live Two Blocks West of You, and separate solutions Bigger, Smaller, Greater, Lesser (no timed exercise) ✓ December 21, 2016 51 I Live Two Blocks West of You, and separate solutions Practice with the Phrases ‘at Least’ and ‘at Most’ January 11, 2017 6.8 seconds per correct problem (no concept questions) 52 I Live Two Blocks West of You, and separate solutions Identifying Inequalities with Variables as True or False January 11, 2017 7.4 seconds per correct problem (no concept questions) 53 I Live Two Blocks West of You, and separate solutions Solving Equations of the Form $\,xy = 0\,$ January 11, 2017 15.0 seconds per correct problem (no concept questions) 54 Numbers have Lots of Different Name!, and separate solutions Recognizing Zero and One January 20, 2017 4.1 seconds per correct problem (no concept questions) 55 Exact versus Approximate Writing Fractions in Simplest Form January 20, 2017 8.8 seconds per correct problem (no concept questions) 56 Exact versus Approximate Deciding if a Fraction is a Finite or Infinite Repeating Decimal January 20, 2017 3.9 seconds per correct problem (no concept questions) 57 Exact versus Approximate Deciding if Numbers are Equal or Approximately Equal January 25, 2017 6.2 seconds per correct problem (no concept questions) 58 Rounding Rounding Decimals to a Specified Number of Places January 25, 2017 13.1 seconds per correct problem (no concept questions) 59 (this info is used in the next few sections) Tables of Unit Conversion Information (no timed exercise) (no concept questions) 60 Unit Conversion Classifying Units as Length, Time, Volume, Weight/Mass January 25, 2017 3.1 seconds per correct problem (no concept questions) 61 Unit Conversion Practice with Unit Abbreviations March 29, 2017 5.7 seconds per correct problem (no concept questions) 62 Unit Conversion Practice with Unit Names March 29, 2017 8.1 seconds per correct problem (no concept questions) 63 Unit Conversion Practice with Unit Conversion Information March 29, 2017 12.1 seconds per correct problem (no concept questions) 64 Unit Conversion One-Step Conversions April 5, 2017 11.6 seconds per correct problem (no concept questions) 65 Unit Conversion Multi-Step Conversions (no timed exercise) ✓ April 12, 2017 66 More Unit Conversion Rate Problems (no timed exercise) ✓ April 19, 2017 67a Work Problems: Basic Concepts (no timed exercise) April 19, 2017in-section exercises: ✓ concept questions: ✓ 67b Work Problems: Quick-and-Easy Estimates (no timed exercise) ✓ April 26, 2017 67c Work Problems: Guided Practice (no timed exercise) May 10, 2017 guided practice: ✓ concept questions: ✓ 68 Exponent Notation Practice With Exponents May 10, 2017 16.1 seconds per correct problem (no concept questions) 69 Exponent Notation Practice With Order of Operations May 10, 2017 21.1 seconds per correct problem (no concept questions) 69.5 Exponent Notation Taking PEMDAS Too Literally:Don't Make This Mistake! date time (no concept questions) 70 Exponent Notation Basic Exponent Practice with Fractions date time (no concept questions) 71 Exponent Laws Practice With $\,x^mx^n = x^{m+n}$ date time (no concept questions) 72 Exponent Laws Practice With $\,(x^m)^n = x^{mn}$ date time (no concept questions) 73 Exponent Laws Practice With $\displaystyle\,\frac{x^m}{x^n} = x^{m-n}$ date time (no concept questions) 74 Exponent Laws Practice With $\displaystyle\,x^{-p} = \frac{1}{x^p}$ date time (no concept questions) 75 Exponent Laws One-Step Exponent Law Practice date time (no concept questions) 76 Exponent Laws Multi-Step Exponent Law Practice date time (no concept questions) 77 Radicals Practice With Radicals date time (no concept questions) 78 Radicals Approximating Radicals date time 78.5 Renaming Square Roots (no timed exercise) 79 Rational Exponents Writing Radicals in Rational Exponent Form (no timed exercise) 80 Rational Exponents Writing Rational Exponents as Radicals (no timed exercise) 81 Rational Exponents Practice with Rational Exponents date time (no concept questions) 82 the Distributive Law Practice with $\,x\,$ and $\,-x\,$ date time (no concept questions) 83 the Distributive Law Practice with Products of Signed Variables date time (no concept questions) 84 the Distributive Law Practice with the Distributive Law date time (no concept questions) 85 Mental Math: Addition date time (no concept questions) 86 Don't Mix Up $\,3x\,$ versus $\,x^3\,$! (no timed exercise) 87 Revisiting Exponents Equal or Opposites? date time (no concept questions) 88 Revisiting Exponents Recognizing the Patterns $\,x^n\,$ and $\,(-x)^n\,$ date time (no concept questions) 89 Revisiting Exponents Writing Expressions in the Form $\,kx^n\,$ date time (no concept questions) 90 Revisiting Exponents Writing More Complicated Expressions in the Form $\,kx^n\,$ date time (no concept questions) 91 Revisiting Exponents Writing Quite Complicated Expressions in the Form $\,kx^n\,$ date time (no concept questions) 92 FOIL and More Identifying Variable Parts and Coefficients of Terms date time (no concept questions) 93 FOIL and More Combining Like Terms date time (no concept questions) 94 FOIL and More Simplifying Expressions like $\,-a(3b-2c-d)\,$ date time (no concept questions) 95 FOIL and More Basic FOIL date time (no concept questions) 96 FOIL and More More Complicated FOIL date time (no concept questions) 97 Simplifying $\,(a+b)^2\,$ and $\,(a-b)^2\,$ date time (no concept questions) 98 FOIL and More Simplifying Expressions Like $\,(a-b)(c+d-e)\,$ date time 98.5 Dividing More Than One Term by a Single Term (no timed exercise) 99 These Sentences Certainly Look Different Practice with the Mathematical Words‘and’, ‘or’ ‘is equivalent to’ August 17, 2016 5.8 seconds per correct problem (no concept questions) 100 Introduction to Factoring Recognizing Products and Sums; Identifying Factors and Terms date time (no concept questions) 101 Introduction to Factoring Identifying Common Factors date time (no concept questions) 102 Introduction to Factoring Factoring Simple Expressions date time (no concept questions) 103 Greatest Common Factor Listing all the Factors of a Whole Number date time (no concept questions) 104 Greatest Common Factor Finding the Greatest Common Factor of 2 or 3 Numbers date time (no concept questions) 105 Greatest Common Factor Finding the Greatest Common Factor of Variable Expressions date time (no concept questions) 106 Greatest Common Factor Factoring Out the Greatest Common Factor date time (no concept questions) 107 Transforming Tool #1(the Addition Property of Equality) The Addition Property of Equality (no timed exercise) ✓ (August 17, 2016) 108 Transforming Tool #2(the Multiplication Property of Equality) The Multiplication Property of Equality (no timed exercise) ✓ (August 17, 2016) 109 Solving Linear Equations in One Variable Solving Simple Linear Equations with Integer Coefficients August 17, 2016 19.6 seconds per correct problem (no concept questions) 110 Solving Linear Equations in One Variable Solving More Complicated Linear Equations with Integer Coefficients date time (no concept questions) 111 Solving Linear Equations in One Variable Solving Linear Equations Involving Fractions date time (no concept questions) 112 Solving Linear Equations in One Variable Solving Linear Equations, All Mixed Up date time (no concept questions) 113 Simple Word Problems Resulting in Linear Equations (no timed exercise) 114 Solving Linear Inequalities in One Variable Solving Simple Linear Inequalities with Integer Coefficients (no timed exercise) 115 Solving Linear Inequalities in One Variable Solving Linear Inequalities with Integer Coefficients (no timed exercise) 116 Solving Linear Inequalities in One Variable Solving Linear Inequalities Involving Fractions (no timed exercise) 117 Solving Linear Inequalities in One Variable Solving Linear Inequalities, All Mixed Up (no timed exercise) 118 Introduction to Absolute Value Simplifying Basic Absolute Value Expressions date time (no concept questions) 119 Introduction to Absolute Value Determining the Sign (Positive or Negative)of Absolute Value Expressions date time (no concept questions) 120 Solving Absolute Value Equations Solving Simple Absolute Value Sentences (no timed exercise) 121 Introduction to Absolute Value Solving Sentences Involving ‘Plus or Minus’ (no timed exercise) 122 Solving Absolute Value Equations Solving Absolute Value Equations (no timed exercise) 123 Solving Absolute Value InequalitiesInvolving ‘Less Than’ Solving Absolute Value Inequalities Involving ‘Less Than’ (no timed exercise) 124 Finishing Up Absolute Value Inequalities Solving Absolute Value Inequalities Involving ‘Greater Than’ (no timed exercise) 125 Solving Absolute Value Sentences, All Types (no timed exercise) 126 Identifying Perfect Squares date time (no concept questions) 127 Writing Expressions in the Form $\,A^2\,$ (no timed exercise) 128 Factoring a Difference of Squares (no timed exercise) 129 Solving Simple Equations Involving Perfect Squares (no timed exercise) 130 Solving More Complicated Equations Involving Perfect Squares (no timed exercise) 131 Translating Simple Mathematical Phrases (no timed exercise) 132 Word Problems Involving Perfect Squares (no timed exercise) 133 Basic Concepts Involved in Factoring Trinomials (no timed exercise) 134 Factoring Trinomials of the Form $\,x^2 + bx + c\,$, where $\,c > 0$ (no timed exercise) 135 Factoring Trinomials of the Form $\,x^2 + bx + c\,$, where $\,c < 0$ (no timed exercise) 136 Factoring Trinomials, All Mixed Up date time (no concept questions) 137 Identifying Quadratic Equations September 28, 2016 3.5 seconds per correct problem (no concept questions) 138 Writing Quadratic Equations in Standard Form (no timed exercise) ✓ (September 28, 2016) 139 Solving Simple Quadratic Equations by Factoring (no timed exercise) 140 Factoring Trinomials of the Form $\,ax^2 + bx + c\,$ date time (no concept questions) 141 Solving More Complicated Quadratic Equations by Factoring (no timed exercise) 142 Multiplying and Dividing Fractions with Variables (no timed exercise) 143 Adding and Subtracting Fractions with Variables (no timed exercise) 144 Writing Expressions Involving Percent Increase and Decrease date time (no concept questions) 145 Calculating Percent Increase and Decrease (no timed exercise) 146 Problems Involving Percent Increase and Decrease (no timed exercise) 147 More Problems Involving Percent Increase and Decrease (no timed exercise) 148 Locating Points in Quadrants and on Axes (no timed exercise) 149 Practice with Points (no timed exercise) 150 the Pythagorean Theorem (no timed exercise) 151 the Distance Formula (no timed exercise) 152 the Midpoint Formula (no timed exercise) 153 Introduction to Equations and Inequalities in Two Variables (no timed exercise) 154 Introduction to the Slope of a Line (no timed exercise) 155 Practice with Slope (no timed exercise) 156 Graphing Lines (no timed exercise) 157 Finding Equations of Lines (no timed exercise) 158 Point-Slope Form (no timed exercise) 159 Horizontal and Vertical Lines (no timed exercise) 160 Parallel and Perpendicular Lines (no timed exercise) 160.5 Linear Inequalities in Two Variables (no timed exercise) 161 Introduction to Functions (no timed exercise) 162 Introduction to Function Notation (no timed exercise) 163 More Practice with Function Notation (no timed exercise) 164 Domain and Range of a Function (no timed exercise)