# in Alg I course 
SECTION (read full text, pdf files) 
ALGEBRA PINBALL EXERCISE 
PETER/RON Algebra Pinball times 
CONCEPT QUESTIONS
(check off when satisfactory 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 
OneStep Conversions 
April 5, 2017
11.6 seconds per correct problem

(no concept questions) 
65 
Unit Conversion 
MultiStep 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, 2017 insection exercises: ✓
concept questions: ✓ 
67b 

Work Problems: QuickandEasy 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 $\displaystyle\,\frac{x^m}{x^n} = x^{mn}$ 
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

OneStep Exponent Law Practice 
date
time 
(no concept questions) 
76 
Exponent Laws

MultiStep 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 $\,a(3b2cd)\,$ 
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 $\,(ab)^2\,$ 
date
time 
(no concept questions) 
98 
FOIL and More

Simplifying Expressions Like $\,(ab)(c+de)\,$ 
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 Inequalities Involving ‘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 

PointSlope 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)

