Top
Prealgebra and Introductory Algebra with POWER Learning
Messersmith/Perez/Feldman
Table of Contents
Chapter 1Operations with Integers
1.1Place Value and Rounding
1.2Introduction to Integers
1.3Adding Integers
1.4Subtracting Integers
1.5Estimating a Sum or a Difference
1.6Multiplying Integers and Estimation
1.7Dividing Integers and Estimation PIAT
1.8Exponents and Order of Operations
Chapter 2Variables and Solving Equations
2.1Introduction to Variables
2.2Simplifying Expressions
2.3Solving Equations Using the Addition Property of Equality
2.4Solving Equations Using the Division Property of Equality
2.5More on Solving Equations
2.6Applications Involving One Unknown
2.7Applications Involving Two Unknowns
Chapter 3Operations with Signed Fractions
3.1Introduction to Signed Fractions
3.2Writing Fractions in Lowest Terms
3.3Multiplying and Dividing Signed Fractions
3.4Adding and Subtracting Like Fractions and Finding a Least Common Denominator
3.5Adding and Subtracting Unlike Fractions
3.6Operations with Mixed Numbers PIAT
3.7Order Relations and Order of Operations
3.8Solving Equations Containing Fractions
Chapter 4Basic Geometry Concepts
4.1Introduction to Geometry
4.2Rectangles, Squares, Parallelograms, and Trapezoids
4.3Triangles
4.4Volume and Surface AreaPIAT
4.5Solving Geometry Applications Using Algebra
Chapter 5Signed Decimals
5.1Reading and Writing Decimals
5.2Rounding Decimals
5.3Adding and Subtracting Signed Decimals
5.4Multiplying Signed Decimals
5.5Dividing Signed Decimals and Order of Operations PIAT
5.6Writing Fractions as Decimals
5.7Mean, Median, and Mode
5.8Solving Equations Containing Decimals
5.9Square Roots and the Pythagorean Theorem
5.1Circles, Spheres, Cylinders, and Cones
Chapter 6Ratios and Proportions
6.1Ratios
6.2Rates
6.3Proportions
6.4Solve Applied Problems Involving Proportions
6.5Angles
6.6Solve Applied Problems Involving Congruent and Similar Triangles
Chapter 7Measurement and Conversion
7.1Conversions Within the U.S. Measurement System
7.2The Metric System: Length
7.3The Metric System: Capacity and Weight (Mass)
7.4Solving Applied Problems Involving Metric Units
7.5Metric - U.S. Customary Conversions and Temperature
Chapter 8Percents
8.1Percents, Fractions, and Decimals
8.2Compute Basic Percents Mentally
8.3Use an Equation to Solve Percent Problems
8.4Solve Applications Involving Percents PIAT
8.5More Applications with Percents
8.6Simple and Compound Interest
Chapter 9Graphs
9.1Reading Tables, Pictographs, Bar Graphs, and Line Graphs
9.2Frequency Distributions and Histograms
9.3Using and Making Circle Graphs
Cumulative Review for Chapters 1-9
Chapter 10Real Numbers, Equations, and Inequalities
10.1Real Numbers
10.2More on Solving Linear Equations
10.3Formulas and Solving for a Specific Variable
10.4Solving Linear Inequalities in One Variable
Chapter 11Linear Equations in Two Variables
11.1Introduction to Linear Equations in Two Variables
11.2Graphing by Plotting Points and Finding Intercepts
11.3The Slope of a Line
11.4The Slope-Intercept Form of a Line
11.5Writing an Equation of a Line
Chapter 12Solving Systems of Linear Equations
12.1Solving Systems by Graphing
12.2Solving Systems by Substitution
12.3Solving Systems by the Elimination Method PIAT
12.4Applications of Systems of Equations
12.5Linear Inequalities in Two Variables
Chapter 13The Rules of Exponents and Polynomials
13.1The Product Rule and Power Rules
13.2Integer Exponents
13.3The Quotient Rule PIAT
13.4Scientific Notation
13.5Addition and Subtraction of Polynomials
13.6Multiplication of Polynomials
13.7Dividing a Polynomial by a Monomial
13.8Dividing a Polynomial by a Polynomial
Chapter 14Factoring Polynomials
14.1The Greatest Common Factor and Factoring by Grouping
14.2Factoring Trinomials of the Form x^2 + bx + c
14.3Factoring Trinomials of the Form ax^2 + bx + c (a not 1)
14.4Factoring Special Trinomials and Binomials PIAT
14.5Solving Quadratic Equations by Factoring
14.6Applications of Quadratic Equations
Chapter 15Rational Expressions
15.1Simplifying Rational Expressions
15.2Multiplying and Dividing Rational Expressions
15.3Finding the Least Common Denominator
15.4Adding and Subtracting Rational Expressions PIAT
15.5Simplifying Complex Fractions
15.6Solving Rational Equations
15.7Applications of Rational Equations and Variation
Chapter 16Roots and Radicals
16.1Finding Roots
16.2Simplifying Radicals: The Product and Quotient Rules
16.3Adding and Subtracting Radicals
16.4Combining Operations on Radicals
16.5Dividing Radicals
16.6Solving Radical Equations
Chapter 17Quadratic Equations
17.1Solving Quadratic Equations Using the Square Root Property
17.2Solving Quadratic Equations by Completing the Square
17.3Solving Quadratic Equations Using the Quadratic Formula PIAT
17.4Graphs of Quadratic Equations
17.5Introduction to Functions
Appendix
A.1Adding Whole Numbers
A.2Subtracting Whole Numbers
A.3Multiplying Whole Numbers
A.4Introduction to Division and Short Division
A.5Long Division
B.1Sets of Numbers
B.2Graphing Inequalities
B.3Deriving the Area of a Parallelogram and the Area of a Trapezoid
B.4Inductive and Deductive Reasoning
