Prealgebra

OpenStax

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0.1 About OpenStax

0.2 About OpenStax's Resources

0.3 Customization

0.6 About prealgebra

0.7 Coverage and scope

0.8 Accuracy of the content

0.9 Pedagogical foundations and features

0.10 Learning Objectives

0.11 Narrative text

0.14 Supporting Features

0.15 Section Exercises

0.16 Chapter Review Features

0.17 Ancillaries

0.18 Online Homework

0.19 About our team

0.20 Lead Authors, Senior Content Experts

0.21 Faculty Reviewers and Consultants

1 Cumulative review

2 Powers and roots tables

3 Geometric formulas

1 Introduction to whole numbers

1.1 Identify counting numbers and whole numbers

1.2 Model whole numbers

1.3 Identify the place value of a digit

1.4 Use place value to name whole numbers

1.5 Use place value to write whole numbers

1.6 Round whole numbers

1.7 Key concepts

1.8 Practice makes perfect

1.9 Everyday math

1.10 Writing exercises

1.11 Self check

2 Add whole numbers

2.1 Use addition notation

2.2 Model addition of whole numbers

2.3 Add whole numbers without models

2.4 Translate word phrases to math notation

2.5 Add whole numbers in applications

2.6 Key concepts

2.7 Practice makes perfect

2.8 Everyday math

2.9 Writing exercises

2.10 Self check

3 Subtract whole numbers

4 Multiply whole numbers

5 Divide whole numbers

5.1 Use division notation

5.2 Model division of whole numbers

5.3 Divide whole numbers

5.4 Translate word phrases to math notation

5.5 Divide whole numbers in applications

5.6 Key concepts

5.7 Practice makes perfect

5.8 Writing exercises

5.9 Everyday math

5.10 Self check

5.11 Chapter review exercises

5.12 Introduction to Whole Numbers

5.13 Add Whole Numbers

5.14 Subtract Whole Numbers

5.15 Multiply Whole Numbers

5.16 Divide Whole Numbers

5.17 Chapter practice test

The language of algebra

Introduction to the language of algebra

1 Use the language of algebra

1.1 Use variables and algebraic symbols

1.2 Identify expressions and equations

1.3 Simplify expressions with exponents

1.4 Simplify expressions using the order of operations

1.5 Key concepts

1.6 Practice makes perfect

1.7 Everyday math

1.8 Writing exercises

2 Evaluate, simplify, and translate expressions

2.1 Evaluate algebraic expressions

2.2 Identify terms, coefficients, and like terms

2.3 Simplify expressions by combining like terms

2.4 Translate words to algebraic expressions

2.5 Key concepts

2.6 Practice makes perfect

2.7 Everyday math

2.8 Writing exercises

3 Solving equations using the subtraction and addition properties of

4 Find multiples and factors

5 Prime factorization and the least common multiple

Introduction to integers

1 Introduction to integers

1.1 Locate positive and negative numbers on the number line

1.2 Order positive and negative numbers

1.3 Find opposites

1.4 Opposite notation

1.6 Simplify expressions with absolute value

1.7 Translate word phrases into expressions with integers

1.8 Key concepts

1.9 Practice makes perfect

1.10 Everyday math

1.11 Writing exercises

1.12 Self check

3 Subtract integers

4 Multiply and divide integers

4.1 Multiply integers

4.2 Divide integers

4.3 Simplify expressions with integers

4.4 Evaluate variable expressions with integers

4.5 Translate word phrases to algebraic expressions

4.6 Key concepts

4.7 Practice makes perfect

4.8 Everyday math

4.9 Writing exercises

4.10 Self check

5 Solve equations using integers; the division property of equality

Introduction to fractions

1 Visualize fractions

2 Multiply and divide fractions

3 Multiply and divide mixed numbers and complex fractions

4 Add and subtract fractions with common denominators

5 Add and subtract fractions with different denominators

6 Add and subtract mixed numbers

7 Solve equations with fractions

7.1 Determine whether a fraction is a solution of an equation

7.2 Solve equations with fractions using the addition, subtraction, and

7.3 Solve equations with fractions using the multiplication property of

7.4 Solve equations with a coefficient of −1

7.5 Solve equations with a fraction coefficient

7.6 Translate sentences to equations and solve

7.7 Key concepts

7.8 Practice makes perfect

7.9 Everyday math

7.10 Writing exercises

7.11 Self check

7.12 Chapter review exercises

7.13 Visualize Fractions

7.14 Multiply and Divide Fractions

7.15 Multiply and Divide Mixed Numbers and Complex Fractions

7.16 Add and Subtract Fractions with Common Denominators

7.17 Add and Subtract Fractions with Different Denominators

7.18 Add and Subtract Mixed Numbers

7.19 Solve Equations with Fractions

7.20 Chapter practice test

Introduction to decimals

1.1 Name decimals

1.2 Write decimals

1.3 Convert decimals to fractions or mixed numbers

1.4 Locate decimals on the number line

1.5 Order decimals

1.6 Round decimals

1.7 Key concepts

1.8 Practice makes perfect

1.9 Everyday math

1.10 Writing exercises

1.11 Self check

2 Decimal operations

3 Decimals and fractions

4 Solve equations with decimals

4.1 Determine whether a decimal is a solution of an equation

4.2 Solve equations with decimals

4.3 Translate to an equation and solve

4.4 Key concepts

4.5 Practice makes perfect

4.6 Everyday math

4.7 Writing exercises

5 Averages and probability

5.1 Calculate the mean of a set of numbers

5.2 Find the median of a set of numbers

5.3 Identify the mode of a set of numbers

5.4 Use the basic definition of probability

5.5 Key concepts

5.6 Practice makes perfect

5.7 Everyday math

5.8 Writing exercises

6 Ratios and rate

7 Simplify and use square roots

Introduction to percents

1 Understand percent

2 Solve general applications of percent

3 Solve sales tax, commission, and discount applications

4 Solve simple interest applications

4.1 Use the simple interest formula

4.2 Solve simple interest applications

4.3 Key concepts

4.4 Practice makes perfect

4.5 Everyday math

4.6 Writing exercises

5 Solve proportions and their applications

The properties of real numbers

Introduction to the properties of real numbers

1 Rational and irrational numbers

2 Commutative and associative properties

3 Distributive property

3.1 Simplify expressions using the distributive property

3.2 Evaluate expressions using the distributive property

3.3 Key concepts

3.4 Practice makes perfect

3.5 Everyday math

3.6 Writing exercises

4 Properties of identity, inverses, and zero

5 Systems of measurement

Solving linear equations

Introduction to solving linear equations

1 Solve equations using the subtraction and addition properties of equality

2 Solve equations using the division and multiplication properties of

2.1 Solve equations using the division and multiplication properties of

2.2 Solve equations that need to be simplified

2.3 Key concepts

2.4 Practice makes perfect

2.5 Everyday math

2.6 Writing exercises

3 Solve equations with variables and constants on both sides

4 Solve equations with fraction or decimal coefficients

Math models and geometry

1 Use a problem solving strategy

2 Solve money applications

3 Use properties of angles, triangles, and the pythagorean theorem

4 Use properties of rectangles, triangles, and trapezoids

5 Solve geometry applications: circles and irregular figures

6 Solve geometry applications: volume and surface area

7 Solve a formula for a specific variable

Introduction to polynomials

1 Add and subtract polynomials

2 Use multiplication properties of exponents

2.1 Simplify expressions with exponents

2.2 Simplify expressions using the product property of exponents

2.3 Simplify expressions using the power property of exponents

2.4 Simplify expressions using the product to a power property

2.5 Simplify expressions by applying several properties

2.6 Multiply monomials

2.7 Key concepts

2.8 Practice makes perfect

2.9 Everyday math

2.10 Writing exercises

2.11 Self check

3 Multiply polynomials

4 Divide monomials

5 Integer exponents and scientific notation

6 Introduction to factoring polynomials

1 Use the rectangular coordinate system

2 Graphing linear equations

3 Graphing with intercepts

3.1 Identify the intercepts on a graph

3.2 Find the intercepts from an equation of a line

3.3 Graph a line using the intercepts

3.4 Choose the most convenient method to graph a line

3.5 Key concepts

3.6 Practice makes perfect

3.7 Everyday math

3.8 Writing exercises

4 Understand slope of a line

4.1 Use geoboards to model slope

4.2 Find the slope of a line from its graph

4.3 Find the slope of horizontal and vertical lines

4.4 Use the slope formula to find the slope of a line between two points

4.5 Graph a line given a point and the slope

4.6 Solve slope applications

4.7 Key concepts

4.8 Practice makes perfect

4.9 Everyday math

4.10 Writing exercises

4.11 Self check

4.12 Chapter review exercises

4.13 Use the Rectangular Coordinate System

4.14 Graphing Linear Equations

4.15 Graphing with Intercepts

4.16 Understand Slope of a Line

4.17 Chapter practice test

Source: OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9

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