Prentice Hall Algebra 1

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Table 1 Measures

	United States Customary	Metric
Length	12 inches ( in . ) = 1 foot ( ft ) 36 in . = 1 yard ( yd ) 3 ft = 1 yard 5280 ft = 1 mile ( mi ) 1760 yd = 1 mile table with 5 rows and 2 columns , row1 column 1 , 12 . inches , open in . close , column 2 equals , 1foot , open ft close , row2 column 1 , 36 , in . , column 2 equals 1 , yard , open yd close , row3 column 1 , 3 ft , column 2 equals 1 , yard , row4 column 1 , 5280 , ft , column 2 equals 1 , mile , open mi close , row5 column 1 , 1760 , yd , column 2 equals 1 , mile , end table	10 millimeters ( mm ) = 1 centimeter ( cm ) 100 cm = 1 meter ( m ) 1000 mm = 1 meter 1000 m = 1 kilometer ( km ) table with 4 rows and 2 columns , row1 column 1 , 10 . millimeters . open mm close , column 2 equals 1 . centimeter . open cm close , row2 column 1 , 100 , cm , column 2 equals 1 , meter , open m close , row3 column 1 , 1000 , mm , column 2 equals 1 , meter , row4 column 1 , 1000 , m , column 2 equals 1 . kilometer . open km close , end table
Area	144 square inches ( in . 2 ) = 1 square foot ( ft 2 ) 9 ft 2 = 1 square yard ( yd 2 ) 43 , 560 ft 2 = 1 acre ( a ) 4840 yd 2 = 1 acre table with 4 rows and 2 columns , row1 column 1 , 144 . squareinches . open in , . squared , close , column 2 equals 1 . squarefoot . open , ft squared , close , row2 column 1 , 9 , ft squared , column 2 equals 1 . squareyard . open , yd squared , close , row3 column 1 , 43 comma 560 , ft squared , column 2 equals 1 , acre , open a close , row4 column 1 , 4840 . yd squared , column 2 equals 1 , acre , end table	100 square millimeters ( mm 2 ) = 1 square centimeter ( cm 2 ) 10 , 000 cm 2 = 1 square meter ( m 2 ) 10 , 000 m 2 = 1 hectare ( ha ) table with 3 rows and 2 columns , row1 column 1 , 100 . squaremillimeters . open , mm squared , close , column 2 equals 1 . squarecentimeter . open , cm squared , close , row2 column 1 , 10 comma 000 , cm squared , column 2 equals 1 . squaremeter . open , m squared , close , row3 column 1 , 10 comma 000 , m squared , column 2 equals 1 . hectare . open ha close , end table
Volume	1728 cubic inches ( in . 3 ) = 1 cubic foot ( ft 3 ) 27 ft 3 = 1 cubic yard ( yd 3 ) table with 2 rows and 2 columns , row1 column 1 , 1728 . cubicinches . open in , . cubed , close , column 2 equals 1 . cubicfoot . open , ft cubed , close , row2 column 1 , 27 , ft cubed , column 2 equals 1 . cubicyard . open , yd cubed , close , end table	1000 cubic millimeters ( mm 3 ) = 1 cubic centimeter ( cm 3 ) 1 , 000 , 000 cm 3 = 1 cubic meter ( m 3 ) table with 2 rows and 2 columns , row1 column 1 , 1000 . cubicmillimeters . open , mm cubed , close , column 2 equals 1 . cubiccentimeter . open , cm cubed , close , row2 column 1 , 1 comma 000 comma 000 , cm cubed , column 2 equals 1 . cubicmeter . open , m cubed , close , end table
Liquid Capacity	8 fluid ounces ( fl oz ) = 1 cup ( c ) 2 c = 1 pint ( pt ) 2 pt = 1 quart ( qt ) 4 qt = 1 gallon ( gal ) table with 4 rows and 2 columns , row1 column 1 , 8 . fluidounces . open , floz , close , column 2 equals 1 , cup , open c close , row2 column 1 , 2 c , column 2 equals 1 , pint , open pt close , row3 column 1 , 2 pt , column 2 equals 1 , quart , open qt close , row4 column 1 , 4 qt , column 2 equals 1 , gallon , open gal close , end table	1000 milliliters ( mL ) = 1 liter ( L ) 1000 L = 1 kiloliter ( kL ) table with 2 rows and 2 columns , row1 column 1 , 1000 . milliliters . open mcap l close , column 2 equals 1 , liter , open cap l close , row2 column 1 , 1000 , cap l , column 2 equals 1 . kiloliter . open kcap l close , end table
Weight or Mass	16 ounces ( oz ) = 1 pound ( lb ) 2000 pounds = 1 ton ( t ) table with 2 rows and 2 columns , row1 column 1 , 16 . ounces , open oz close , column 2 equals 1 , pound , open lb close , row2 column 1 , 2000 . pounds , column 2 equals 1 , ton , open t close , end table	1000 milligrams ( mg ) = 1 gram ( g ) 1000 g = 1 kilogram ( kg ) 1000 kg = 1 metric ton table with 3 rows and 2 columns , row1 column 1 , 1000 . milligrams . open mg close , column 2 equals 1 , gram , open g close , row2 column 1 , 1000 , g , column 2 equals 1 . kilogram . open kg close , row3 column 1 , 1000 , kg , column 2 equals 1 . metricton , end table
Temperature	32 ° F = freezing point of water 98.6 ° F = normal human body temperature 212 ° F = boiling point of water table with 3 rows and 2 columns , row1 column 1 , 32 degrees cap f , column 2 equals . freezingpointofwater , row2 column 1 , 98.6 , degrees cap f , column 2 equals . normalhumanbody . . temperature , row3 column 1 , 212 degrees cap f , column 2 equals . boilingpointofwater , end table	0 ° C = freezing point of water 37 ° C = normal human body temperature 100 ° C = boiling point of water table with 3 rows and 2 columns , row1 column 1 , 0 degrees cap c , column 2 equals . freezingpointofwater , row2 column 1 , 37 degrees cap c , column 2 equals . normalhumanbodytemperature , row3 column 1 , 100 degrees cap c , column 2 equals . boilingpointofwater , end table

	Customary Units and Metric Units
Length	1 in = 2.54 cm 1 mi ≈ 1.61 km 1 ft ≈ 0.305 m table with 3 rows and 2 columns , row1 column 1 , 1 in , column 2 equals , 2.54 , cm , row2 column 1 , 1 mi , column 2 almost equal to , 1.61 , km , row3 column 1 , 1 ft , column 2 almost equal to , 0.305 , m , end table
Capacity	1 qt almost equal to , 0.946 , cap l
Weight and Mass	1 oz ≈ 28.4 g 1 lb ≈ 0.454 kg table with 2 rows and 2 columns , row1 column 1 , 1 oz , column 2 almost equal to , 28.4 , g , row2 column 1 , 1 lb , column 2 almost equal to , 0.454 , kg , end table

Time
60 seconds ( s ) = 1 minute ( min ) 60 minutes = 1 hour ( h ) 24 hours = 1 day ( d ) 7 days = 1 week ( wk ) 4 weeks ( approx . ) = 1 month ( mo ) 365 days = 1 year ( yr ) 52 weeks ( approx . ) = 1 year 12 months = 1 year 1 year = 1 decade 100 years = 1 century table with 1 row and 3 columns , row1 column 1 , table with 4 rows and 2 columns , row1 column 1 , 60 . seconds . open s close , column 2 equals 1 , minute , open min close , row2 column 1 , 60 . minutes , column 2 equals 1 , hour , open h close , row3 column 1 , 24 , hours , column 2 equals 1 , day , open d close , row4 column 1 , 7 , days , column 2 equals 1 , week , open wk close , end table , column 2 table with 3 rows and 2 columns , row1 column 1 , 4 , weeks , open , approx , . close , column 2 equals 1 , month , open mo close , row2 column 1 , 365 , days , column 2 equals 1 , year , open yr close , row3 column 1 , 52 , weeks , open , approx , . close , column 2 equals 1 , year , end table , column 3 table with 3 rows and 2 columns , row1 column 1 , 12 , months , column 2 equals 1 , year , row2 column 1 , 1 , year , column 2 equals 1 , decade , row3 column 1 , 100 , years , column 2 equals 1 , century , end table , end table

Time

60 seconds ( s ) = 1 minute ( min ) 60 minutes = 1 hour ( h ) 24 hours = 1 day ( d ) 7 days = 1 week ( wk ) 4 weeks ( approx . ) = 1 month ( mo ) 365 days = 1 year ( yr ) 52 weeks ( approx . ) = 1 year 12 months = 1 year 1 year = 1 decade 100 years = 1 century table with 1 row and 3 columns , row1 column 1 , table with 4 rows and 2 columns , row1 column 1 , 60 . seconds . open s close , column 2 equals 1 , minute , open min close , row2 column 1 , 60 . minutes , column 2 equals 1 , hour , open h close , row3 column 1 , 24 , hours , column 2 equals 1 , day , open d close , row4 column 1 , 7 , days , column 2 equals 1 , week , open wk close , end table , column 2 table with 3 rows and 2 columns , row1 column 1 , 4 , weeks , open , approx , . close , column 2 equals 1 , month , open mo close , row2 column 1 , 365 , days , column 2 equals 1 , year , open yr close , row3 column 1 , 52 , weeks , open , approx , . close , column 2 equals 1 , year , end table , column 3 table with 3 rows and 2 columns , row1 column 1 , 12 , months , column 2 equals 1 , year , row2 column 1 , 1 , year , column 2 equals 1 , decade , row3 column 1 , 100 , years , column 2 equals 1 , century , end table , end table

End ofPage 801

Prentice Hall Algebra 1

Contents in Brief

Series Authors

Consulting Authors

Program Authors

Reviewers National

From the Authors

Power Algebra.com

Big Ideas

Exploring Concepts

Thinking Mathematically

Active Learning

Practice Makes Perfect

Pearson Video Challenge

Acing the Test

Entry-Level Assessment

Chapter 1 Foundations for Algebra

Chapter 1 Get Ready!

1-1 Variables and Expressions

1-2 Order of Operations and Evaluating Expressions

1-3 Real Numbers and the Number Line

1-4 Properties of Real Numbers

1 Mid-Chapter Quiz

1-5 Adding and Subtracting Real Numbers

1-6 Multiplying and Dividing Real Numbers

1-7 The Distributive Property

1-8 An Introduction to Equations

1-9 Patterns, Equations, and Graphs

1 Pull It All Together

1 Chapter Review

1 Chapter Test

1 Cumulative Test Prep

Chapter 2 Solving Equations

Chapter 2 Get Ready!

Concept Byte: Modeling One-Step Equations

2-1 Solving One-Step Equations

2-2 Solving Two-Step Equations

2-3 Solving Multi-Step Equations

2-4 Solving Equations With Variables on Both Sides

2-5 Literal Equations and Formulas

2 Mid-Chapter Quiz

2-6 Ratios, Rates, and Conversions

2-7 Solving Proportions

2-8 Proportions and Similar Figures

2-9 Percents

2-10 Change Expressed as a Percent

2 Pull It All Together

2 Chapter Review

2 Chapter Test

2 Cumulative Test Prep

Chapter 3 Solving Inequalities

Chapter 3 Get Ready!

3-1 Inequalities and Their Graphs

3-2 Solving Inequalities Using Addition or Subtraction

3-3 Solving Inequalities Using Multiplication or Division

3-4 Solving Multi-Step Inequalities

3 Mid-Chapter Quiz

3-5 Working With Sets

3-6 Compound Inequalities

3-7 Absolute Value Equations and Inequalities

3-8 Unions and Intersections of Sets

3 Pull It All Together

3 Chapter Review

3 Chapter Test

3 Cumulative Test Prep

Chapter 4 An Introduction to Functions

Chapter 4 Get Ready!

4-1 Using Graphs to Relate Two Quantities

4-2 Patterns and Linear Functions

4-3 Patterns and Nonlinear Functions

4 Mid-Chapter Quiz

4-4 Graphing a Function Rule

4-5 Writing a Function Rule

4-6 Formalizing Relations and Functions

4-7 Sequences and Functions

4 Pull It All Together

4 Chapter Review

4 Chapter Test

4 Cumulative Test Prep

Chapter 5 Linear Functions

Chapter 5 Get Ready!

5-1 Rate of Change and Slope

5-2 Direct Variation

5-3 Slope-Intercept Form

5-4 Point-Slope Form

5 Mid-Chapter Quiz

5-5 Standard Form

5-6 Parallel and Perpendicular Lines

5-7 Scatter Plots and Trend Lines

5-8 Graphing Absolute Value Functions

5 Pull It All Together

5 Chapter Review

5 Chapter Test

5 Cumulative Test Prep

Chapter 6 Systems of Equations and Inequalities

Chapter 6 Get Ready!

6-1 Solving Systems by Graphing

6-2 Solving Systems Using Substitution

6-3 Solving Systems Using Elimination

6-4 Applications of Linear Systems

6 Mid-Chapter Quiz

6-5 Linear Inequalities

6-6 Systems of Linear Inequalities

6 Pull It All Together

6 Chapter Review

6 Chapter Test

6 Cumulative Test Prep

Chapter 7 Exponents and Exponential Functions

Chapter 7 Get Ready!

7-1 Zero and Negative Exponents

7-2 Scientific Notation

7-3 Multiplying Powers With the Same Base

7-4 More Multiplication Properties of Exponents

7 Mid-Chapter Quiz

7-5 Division Properties of Exponents

7-6 Exponential Functions

7-7 Exponential Growth and Decay

7 Pull It All Together

7 Chapter Review

7 Chapter Test

7 Cumulative Test Prep

Chapter 8 Polynomials and Factoring

Chapter 8 Get Ready!

8-1 Adding and Subtracting Polynomials

8-2 Multiplying and Factoring

8-3 Multiplying Binomials

8-4 Multiplying Special Cases

8 Mid-Chapter Quiz

Concept Byte: Using Models to Factor

8-5 Factoring x2 + bx + c

8-6 Factoring ax2 + bx + c

8-7 Factoring Special Cases

8-8 Factoring by Grouping

8 Pull It All Together

8 Chapter Review

8 Chapter Test

8 Cumulative Test Prep

Chapter 9 Quadratic Functions and Equations

Chapter 9 Get Ready!

9-1 Quadratic Graphs and Their Properties

9-2 Quadratic Functions

9-3 Solving Quadratic Equations

9-4 Factoring to Solve Quadratic Equations

9 Mid-Chapter Quiz

9-5 Completing the Square

9-6 The Quadratic Formula and the Discriminant

9-7 Linear, Quadratic, and Exponential Models

9-8 Systems of Linear and Quadratic Equations

9 Pull It All Together

9 Chapter Review

9 Chapter Test

9 Cumulative Test Prep

Chapter 10 Radical Expressions and Equations

Chapter 10 Get Ready!

10-1 The Pythagorean Theorem

10-2 Simplifying Radicals

10-3 Operations With Radical Expressions

10 Mid-Chapter Quiz

10-4 Solving Radical Equations

10-5 Graphing Square Root Functions

10-6 Trigonometric Ratios

10 Pull It All Together

10 Chapter Review

10 Chapter Test

10 Cumulative Test Prep

Chapter 11 Rational Expressions and Functions

Chapter 11 Get Ready!

11-1 Simplifying Rational Expressions

11-2 Multiplying and Dividing Rational Expressions

11-3 Dividing Polynomials

11-4 Adding and Subtracting Rational Expressions

11 Mid-Chapter Quiz

11-5 Solving Rational Equations

11-6 Inverse Variation

11-7 Graphing Rational Functions

11 Pull It All Together

11 Chapter Review

11 Chapter Test

11 Cumulative Test Prep

Chapter 12 Data Analysis and Probability

Chapter 12 Get Ready!

12-1 Organizing Data Using Matrices

12-2 Frequency and Histograms

12-3 Measures of Central Tendency and Dispersion

12-4 Box-and-Whisker Plots

12-5 Samples and Surveys

12 Mid-Chapter Quiz

12-6 Permutations and Combinations

12-7 Theoretical and Experimental Probability

12-8 Probability of Compound Events

12 Pull It All Together

12 Chapter Review

12 Chapter Test

End-of-Course Assessment to Prepare for the Algebra I ADP End-of-Course Exam

Skills Handbook

Prime Numbers and Composite Numbers

Factors and Multiples

Using Estimation

Simplifying Fractions

Fractions and Decimals

Adding and Subtracting Fractions

Multiplying and Dividing Fractions

Fractions, Decimals, and Percents

Exponents

Perimeter, Area, and Volume

Line Plots

Bar Graphs

Line Graphs

Circle Graphs

Stem-and-Leaf Plots

Reference

Table 1 Measures

Table 2 Reading Math Symbols

Properties and Formulas

Formulas of Geometry

Visual Glossary

Selected Answers

Index

Acknowledgments