Prealgebra - Key Terms, Key Concepts, Exercises, Review Exercises, Practice Test

Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

✨Content✨

1 Whole Numbers

Introduction

1.1 Introduction to Whole Numbers

1.2 Add Whole Numbers

1.3 Subtract Whole Numbers

1.4 Multiply Whole Numbers

1.5 Divide Whole Numbers

2 The Language of Algebra

Introduction to the Language of Algebra

2.1 Use the Language of Algebra

2.2 Evaluate, Simplify, and Translate Expressions

2.3 Solving Equations Using the Subtraction and Addition Properties of Equality

2.4 Find Multiples and Factors

2.5 Prime Factorization and the Least Common Multiple

3 Integers

Introduction to Integers

3.1 Introduction to Integers

3.2 Add Integers

3.3 Subtract Integers

3.4 Multiply and Divide Integers

3.5 Solve Equations Using Integers; The Division Property of Equality

4 Fractions

Introduction to Fractions

4.1 Visualize Fractions

4.2 Multiply and Divide Fractions

4.3 Multiply and Divide Mixed Numbers and Complex Fractions

4.4 Add and Subtract Fractions with Common Denominators

4.5 Add and Subtract Fractions with Different Denominators

4.6 Add and Subtract Mixed Numbers

4.7 Solve Equations with Fractions

5 Decimals

Introduction to Decimals

5.1 Decimals

5.2 Decimal Operations

5.3 Decimals and Fractions

5.4 Solve Equations with Decimals

5.5 Averages and Probability

5.6 Ratios and Rate

5.7 Simplify and Use Square Roots

6 Percents

Introduction to Percents

6.1 Understand Percent

6.2 Solve General Applications of Percent

6.3 Solve Sales Tax, Commission, and Discount Applications

6.4 Solve Simple Interest Applications

6.5 Solve Proportions and their Applications

7 The Properties of Real Numbers

Introduction to the Properties of Real Numbers

7.1 Rational and Irrational Numbers

7.2 Commutative and Associative Properties

7.3 Distributive Property

7.4 Properties of Identity, Inverses, and Zero

7.5 Systems of Measurement

8 Solving Linear Equations

Introduction to Solving Linear Equations

8.1 Solve Equations Using the Subtraction and Addition Properties of Equality

8.2 Solve Equations Using the Division and Multiplication Properties of Equality

8.3 Solve Equations with Variables and Constants on Both Sides

8.4 Solve Equations with Fraction or Decimal Coefficients

9 Math Models and Geometry

Introduction

9.1 Use a Problem Solving Strategy

9.2 Solve Money Applications

9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem

9.4 Use Properties of Rectangles, Triangles, and Trapezoids

9.5 Solve Geometry Applications: Circles and Irregular Figures

9.6 Solve Geometry Applications: Volume and Surface Area

9.7 Solve a Formula for a Specific Variable

10 Polynomials

Introduction to Polynomials

10.1 Add and Subtract Polynomials

10.2 Use Multiplication Properties of Exponents

10.3 Multiply Polynomials

10.4 Divide Monomials

10.5 Integer Exponents and Scientific Notation

10.6 Introduction to Factoring Polynomials

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11 Graphs

Graphs

11.1 Use the Rectangular Coordinate System

11.2 Graphing Linear Equations

11.3 Graphing with Intercepts

11.4 Understand Slope of a Line

A | Cumulative Review

B | Powers and Roots Tables

C | Geometric Formulas