# Algebra Readiness

ISBN: 9780133721188
Author: Prentice Hall
Published: 2010

## Chapters: 123456789101112

### Chapter 1

Algebraic Expressions And Integers

 Check your readiness p.3 1 Variables and Expressions Standards practice p.6 2 The Order of Operations Standard practice p.11 3 Writing and Evaluating Expressions Standards practice p.16 4 integers and absolute value Standards practice p.20 Checkpoint quiz 1 p.22 5 Adding integers Standards practice p.27 6 Subtracting integers Standards practice p.32 7 Inductive reasoning Standards practice p.38 8 Reasoning strategy: look for a pattern Standards practice p.42 9 Multiplying and dividing integers Standards practice p.47 Checkpoint quiz 2 p.49 10 The coordinate plane Standards practice p.54 Skills and concepts p.59 Chapter 1 Test p.62 Standards mastery p.63 Chapter 1 Extra Practice p.656

### Chapter 2

Solving One Step Equations And Inequalities

 Check your readiness p.66 1 Properties of numbers Standards practice p.71 2 The distributive property Check skills you'll need p.73 Numerical expressions p.73 Standards practice p.76 3 Simplifying algebraic expressions Standards practice p.80 Check your understanding p.80 Checkpoint quiz 1 p.81 4 Variables and equations Standards practice p.84 Check your understanding p.84 Activity lab: using models with equations p.86 5 Solving equations by adding or subtracting Standards practice p.91 Check your understanding p.91 GPS: Understanding Word Problems p.93 6 Solving equations by multiplying or dividing Check your understanding p.96 Standards practice p.96 7 Reasoning strategy: try,test, revise Understand p.98 Plan p.99 Standards practice p.100 Mathematical reasoning: equation puzzles p.101 8 Inequalities and their graphs Standards practice p.104 Check your understanding p.104 9 Solving one step inequalities by adding or subtracting Standards practice p.108 Check your understanding p.108 Checkpoint quiz 2 p.109 10 Solving one step inequalities by multiplying and dividing Solving Inequalities Using Division p.110 Standards practice p.113 Exercises p.115 Skills and concepts p.117 Chapter 2 Test p.120 Standards mastery: Cumulative practice p.121 Chapter 2 Extra Practice p.658

### Chapter 3

Decimals And Equations

 Check your readiness p.124 1 Rounding and estimating Writing and comparing decimals: exercises p.126 Rounding decimals p.127 Choose a method p.129 Check your understanding p.130 Standards practice p.130 2 Estimating decimal products and quotients Standards practice p.134 Check your understanding p.134 Reading a table: exercises p.136 3 Using formulas Standards practice p.139 Check your understanding p.139 Checkpoint quiz 1 p.140 Guided problem solving: exercises p.141 4 Solving equations by adding or subtracting decimals Standards practice p.144 Check your understanding p.144 5 Solving equations by multiplying or diving decimals Check your understanding p.148 Standards practice p.148 6 Using the metric system Check your understanding p.153 Standards practice p.153 Checkpoint quiz 2 p.155 Precision and Significant Digits: Exercises p.157 7 Reasoning strategy: act it out Understand p.158 Standards practice p.160 Evaluating Reasonableness: Exercise p.161 Skills and concepts p.163 Chapter 3 Test p.166 Standards mastery: Cumulative practice p.167 Chapter 3 Extra Practice p.660

### Chapter 4

Factors Fractions And Exponents

 Check your readiness p.170 1 Divisibilty and factors Standards practice p.174 Check your understanding p.174 Using concept maps to connect ideas: exercises p.176 Patterns and exponents p.177 2 Exponents Check your understanding p.180 Standards practice p.180 3 Prime factorization and greatest common divisor Standards investigation: exploring prime numbers p.182 Choose a method p.184 Standards practice p.185 Check your understanding p.185 Venn diagrams: exercises p.187 4 Simplifying fractions Standards practice p.190 Check your understanding p.190 Checkpoint quiz 1 p.191 Understanding word problems: exercises p.192 5 Reasoning strategy: solve a simpler problem Understand p.193 Standards practice p.195 6 Rational numbers Standards practice p.199 Check your understanding p.199 7 Exponents and multiplication Standards practice p.203 Check your understanding p.203 Goldbach's Conjecture p.204 8 Exponents and division Standards practice p.208 Check your understanding p.208 Checkpoint quiz 2 p.209 9 Scientific notation Standards investigation: exploring prime numbers p.210 Standards practice p.214 Check your understanding p.214 Skills and concepts p.217 Chapter 4 Test p.220 Standards mastery: Cumulative practice p.221 Chapter 4 Extra Practice p.662

### Chapter 5

Operations With Fractions

 Check your readiness p.224 1 Comparing and ordering rational numbers Standards practice p.229 Check your understanding p.229 2 Fractions and decimals Check your understanding p.234 Standards practice p.234 Estimating with fractions and mixed numbers: exercises p.236 3 Adding and subtracting fractions Choose a method p.239 Check your understanding p.240 Standards practice p.240 Checkpoint quiz 1 p.241 4 Multiplying and dividing fractions Standards investigation: modeling multiplication of fractions p.242 Check your understanding p.245 Standards practice p.245 5 Using customary units of measurement Check your understanding p.249 Standards practice p.249 Using dimensional analysis: exercise p.251 Greatest possible error: exercises p.252 6 Reasoning strategy: work backward Understand p.253 Standards practice p.255 Guided Problem Solving: Exercise p.257 7 Solving equations by adding or subtracting fractions Standards practice p.260 Check your understanding p.260 8 Solving equations by multiplying fractions Check your understanding p.264 Standards practice p.264 Checkpoint quiz 2 p.266 Choosing fractions or decimals to solve a problem: exercises p.267 Operations with rational numbers: exercises p.269 9 Powers of products and quotients Check your understanding p.272 Standards practice p.272 Skills and concepts p.275 Chapter 5 Test p.278 Standards mastery: Cumulative practice p.279 Chapter 5 Extra Practice p.664

### Chapter 6

Ratios And Unit Rates

 Check your readiness p.282 1 Ratios and unit rates Check your understanding p.286 Standards practice p.286 Estimating to convert between measurement systems: Exercises p.289 2 Proportions Check your understanding p.292 Standards practice p.292 3 Similar figures and scale drawings Standards practice p.297 Check your understanding p.297 Checkpoint quiz 1 p.299 Dilations: exercises p.300 4 Fractions, Decimals, and Percents Standards practice p.303 Check your understanding p.303 5 Proportions and percents Standards practice p.309 Check your understanding p.309 6 Percents and equations Standards practice p.313 Check your understanding p.313 Estimating with percents: exercises p.315 7 Percent of change Check your understanding p.318 Standards practice p.318 8 Markup and discount Choose a method p.321 Check your understanding p.322 Standards practice p.322 Checkpoint quiz 2 p.323 Guided Problem Solving: Exercises p.324 9 Applications of rational numbers Check your understanding p.328 Standards practice p.328 10 Reasoning strategy: make a table Plan p.330 Understand p.330 Check p.331 Standards practice p.332 Multi-step rate problems: exercise p.333 Skills and concepts p.335 Chapter 6 Test p.338 Standards mastery: Cumulative practice p.339 Chapter 6 Extra Practice p.666

### Chapter 7

Solving Equations And Inequalities

 1 Solving two-step equations Standard Practice p.346 2 Solving multi-step equations Standard Practice p.351 3 Two-step equations with fractions and decimals Standard Practice p.356 4 Reasoning strategy: write an equation Standard Practice p.360 CHeckpoint Quiz 1 p.361 5 Solving two-step inequalities Standard Practice p.365 6 Transforming formulas Standard Practice p.369 CHeckpoint Quiz 2 p.370 7 Simple and compound interest Standard Practice p.374 Chapter 7 Review p.377 Chapter 7 Test p.380 Chapter 7 Extra Practice p.668

### Chapter 8

Linear Functions And Graphing

 1 Relations and functions Standard Practice p.391 2 Equations with two variables Standard Practice p.396 3 Slope and y-intercept Standard Practice p.402 Standard Practice p.403 CHeckpoint Quiz 1 p.404 4 Direct variation Standard Practice p.407 5 Reasoning strategy: use multiple strategies Standard Practice p.412 6 Solving systems of linear equations Standard Practice p.417 CHeckpoint Quiz 2 p.419 7 Graphing linear inequalities Standard Practice p.423 Chapter 8 Review p.427 Chapter 8 Test p.430 Chapter 8 Extra Practice p.670

### Chapter 9

Spatial Thinking

 4 Reasoning strategy: draw a diagram Standard Practice p.157 1 Introduction to geometry: points, lines, and planes Standard Practice p.439 2 Angle relationships and parallel lines Standard Practice p.446 3 Classifying polygons Standard Practice p.451 5 Congruence Standard Practice p.460 CHeckpoint Quiz 1 p.462 6 Circles Standard Practice p.467 7 Constructions Standard Practice p.473 8 Translations Standard Practice p.478 CHeckpoint Quiz 2 p.480 9 Symmetry and reflections Standard Practice p.484 Chapter 9 Review p.491 Chapter test p.494 Chapter 9 Extra Practice p.672

### Chapter 10

Area And Volume

 1 Area: parallelograms Standard Practice p.502 2 Area: triangles and trapezoids Standard Practice p.510 3 Area: circles Standard Practice p.515 4 Space figures Standard Practice p.521 5 Surface area: prisms and cylinders Standard Practice p.530 6 Surface area: pyramids, cones, and spheres Standard Practice p.537 7 Volume: prIsms and cylinders Standard Practice p.541 8 Reasoning strategy: make a model Standard Practice p.546 CHeckpoint Quiz 2 p.547 9 Volume: pyramids, cones, and spheres Standard Practice p.550 10 Scale factors and solids Standard Practice p.554 Chapter 10 Review p.557 Chapter 10 test p.560 Chapter 10 Extra Practice p.674

### Chapter 11

Irrational Numbers And Nonlinear Functions

 1 Square roots and irrational numbers Standard Practice p.568 2 The Pythagorean theorem standard Practice p.573 Checkpoint Quiz 1 p.575 3 Distance and midpoint formulas Standard Practice p.582 4 Reasoning strategy: write a proportIon standard Practice p.588 5 Graphing nonlinear functions standard Practice p.594 checkpoint Quiz 2 p.595 Chapter 11 review p.597 chapter 11 test p.600 Chapter 11 Extra Practice p.676

### Chapter 12

Data Analysis

 1 Mean, median, and mode standard Practice p.609 2 Frequency tables, line plots, and histograms standard Practice p.614 Checkpoint Quiz 1 p.615 3 Box-and-whisker plots standard Practice p.620 4 Stem-and-leaf plots standard Practice p.625 5 Scatter plots standard Practice p.631 6 Reasoning strategy: solve by graphing standard Practice p.637 checkpoint Quiz 2 p.638 Chapter 12 review p.641 chapter 12 test p.644 Chapter 12 Extra Practice p.678