3-2 Homework Answers Common Core Mathematics 7th Grade

Chapter 1: Operations with Integers (pp. 1 - 1)

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What You Learned Before (p. 1)
1.1: Integers and Absolute Value (pp. 2 - 7)
1.2: Adding Integers (pp. 8 - 13)
1.3: Subtracting Integers (pp. 14 - 19)
Study Help (p. 20)
Quiz 1.1 - 1.3 (p. 21)
1.4: Multiplying Integers (pp. 22 - 27)
1.5: Dividing Integers (pp. 28 - 33)
1.6: The Coordinate Plane (pp. 34 - 39)
Quiz 1.4 - 1.6 (p. 40)
Chapter Review (pp. 41 - 43)
Chapter Test (p. 44)
Standardized Test Practice (pp. 45 - 47)

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Vocabulary Help

Chapter 1: Word Search

Lesson Tutorials

Section: 1.1

Example 1: Finding Absolute Value:
Example 2: Finding Absolute Value:
Example 3: Comparing Values:
Example 4: Real-Life Application:

Section: 1.2

Example 1: Adding Integers with the Same Sign:
Example 2: Adding Integers with Different Signs:
Example 3: Adding More than Two Integers:

Section: 1.3

Example 1: Subtracting Integers:
Example 2: Subtracting Integers:
Example 3: Real-Life Application:

Section: 1.4

Example 1: Multiplying Integers with the Same Sign:
Example 2: Multiplying Integers with Different Signs:
Example 3: Using Exponents:
Example 4: Real-Life Application:

Section: 1.5

Example 1: Dividing Integers with the Same Sign:
Example 2: Dividing Integers with Different Signs:
Example 3: Evaluating Expressions:
Example 4: Real-Life Application:

Section: 1.6

Example 1: Standardized Test Practice:
Example 2: Plotting Ordered Pairs:
Example 3: Real-Life Application:

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Chapter 1

Progress Check

Chapter 1.1 - 1.3 Quiz
Chapter 1.4 - 1.6 Quiz

Test Practice

Chapter 1

Spanish Chapter Reviews

Chapter 1

Interactive Activities

Section 1.1: Number Line
Section 1.2: Integer Chips
Section 1.2: Number Line
Section 1.3: Integer Chips
Section 1.3: Number Line
Section 1.4: Number Line
Section 1.5: Integer Chips
Section 1.6: Coordinate Plane

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Chapter 2: Rational Numbers and Equations (pp. 48 - 95)

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What You Learned Before (pp. 48 - 49)
2.1: Rational Numbers (pp. 50 - 55)
2.2: Adding and Subtracting Rational Numbers (pp. 56 - 61)
2.3: Multiplying and Dividing Rational Numbers (pp. 62 - 67)
2.3b: Number Properties (pp. 67A - 67B)
Study Help (p. 68)
Quiz 2.1 - 2.3 (p. 69)
2.4: Solving Equations Using Addition or Subtraction (pp. 70 - 75)
2.5: Solving Equations Using Multiplication or Division (pp. 76 - 81)
2.5b: Algebraic Expressions (pp. 81A - 81B)
2.6: Solving Two-Step Equations (pp. 82 - 87)
2.6b: Solving Inequalities (pp. 87A - 87D)
Quiz 2.4 - 2.6 (p. 88)
Chapter Review (pp. 89 - 91)
Chapter Test (p. 92)
Standardized Test Practice (pp. 93 - 95)

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Vocabulary Help

Chapter 2: Crossword Puzzle

Lesson Tutorials

Section: 2.1

Example 1: Writing Rational Numbers as Decimals:
Example 2: Writing a Decimal as a Fraction:
Example 3: Ordering Rational Numbers:

Section: 2.2

Example 1: Adding Rational Numbers:
Example 2: Adding Rational Numbers:
Example 3: Subtracting Rational Numbers:
Example 4: Real-Life Application:

Section: 2.3

Example 1: Dividing Rational Numbers:
Example 2: Multiplying Rational Numbers:
Example 3: Standardized Test Practice:
Example 4: Real-Life Application:

Section: 2.3b

Example 1: Using Commutative and Associative Properties:
Example 2: Real-Life Application:

Section: 2.4

Example 1: Solving Equations:
Example 2: Standardized Test Practice:
Example 3: Real-Life Application:

Section: 2.5

Example 1: Solving Equations:
Example 2: Solving an Equation Using a Reciprocal:
Example 3: Real-Life Application:

Section: 2.5b

Example 1: Identifying Terms and Like Terms:
Example 2: Simplifying Algebraic Expressions:
Example 3: Simplifying Algebraic Expressions Using Distr:
Example 4: Real-Life Application:

Section: 2.6

Example 1: Solving a Two-Step Equation:
Example 2: Solving a Two-Step Equation:
Example 3: Combining Like Terms Before Solving:
Example 4: Real-Life Application:

Section: 2.6b

Example 1: Solving Inequalities Using Addition or Subtraction:
Example 2: Solving Inequalities Using Multiplication or Division:
Example 3: Solving Inequalities Using Multiplication or Division:
Example 4: Solving a Two-Step Inequality:
Example 5: Real-Life Application:

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Chapter 2

Progress Check

Chapter 2.1 - 2.3 Quiz
Chapter 2.4 - 2.6 Quiz

Test Practice

Chapter 2

Spanish Chapter Reviews

Chapter 2

Interactive Activities

Section 2.1: Number Line
Section 2.2: Number Line
Section 2.4: Algebra Tiles
Section 2.5: Algebra Tiles
Section 2.6: Algebra Tiles

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Chapter 3: Proportions and Variation (pp. 96 - 155)

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What You Learned Before (pp. 96 - 97)
3.1: Ratios and Rates (pp. 98 - 103)
3.2: Slope (pp. 104 - 109)
3.3: Proportions (pp. 110 - 115)
3.4: Writing Proportions (pp. 116 - 121)
3.5: Solving Proportions (pp. 122 - 127)
Study Help (p. 128)
Quiz 3.1 - 3.5 (p. 129)
3.6: Converting Measures Between Systems (pp. 130 - 135)
3.7: Direct Variation (pp. 136 - 141)
3.7b: Proportional Relationships (pp. 141A - 141B)
3.8: Inverse Variation (pp. 142 - 147)
Quiz 3.6 - 3.8 (p. 148)
Chapter Review (pp. 149 - 151)
Chapter Test (p. 152)
Standardized Test Practice (pp. 153 - 155)

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Vocabulary Help

Chapter 3: Word Search

Lesson Tutorials

Section: 3.1

Example 1: Finding Ratios and Rates:
Example 2: Finding a Rate from a Table:
Example 3: Finding a Rate from a Line Graph:

Section: 3.2

Example 1: Finding Slopes:
Example 2: Finding a Slope:

Section: 3.3

Example 1: Determining Whether Ratios Form a Proportion:
Example 2: Identifying Proportional Relationships:

Section: 3.4

Example 1: Writing a Proportion:
Example 2: Solving Proportions Using Mental Math:
Example 3: Solving Proportions Using Mental Math:

Section: 3.5

Example 1: Solving Proportions Using Multiplication:
Example 2: Solving Proportions Using the Cross Products Property:
Example 3: Real-Life Application:

Section: 3.6

Example 1: Converting Units:
Example 2: Comparing Units:
Example 3: Converting a Rate:

Section: 3.7

Example 1: Identifying Direct Variation:
Example 2: Identifying Direct Variation:
Example 3: Using a Direct Variation Model:

Section: 3.7b

Example 1: Interpreting a Proportional Relationship:
Example 2: Comparing Graphs of Proportional Relationship:

Section: 3.8

Example 1: Identifying Direct and Inverse Variation:
Example 2: Standardized Test Practice:
Example 3: Real-Life Application:

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Chapter 3

Progress Check

Chapter 3.1 - 3.5 Quiz
Chapter 3.6 - 3.8 Quiz

Test Practice

Chapter 3

Spanish Chapter Reviews

Chapter 3

Interactive Activities

Section 3.1: Line Graph
Section 3.1: Rate Tool
Section 3.1: Ratio Tool
Section 3.2: Slope
Section 3.3: Rate Tool
Section 3.3: Ratio Tool
Section 3.5: Slope Explorer
Section 3.7: Coordinate Plane
Section 3.7: Variation Explorer

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Chapter 4: Percents (pp. 156 - 191)

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What You Learned Before (pp. 156 - 157)
4.1: The Percent Equation (pp. 158 - 163)
4.2: Percents of Increase and Decrease (pp. 164 - 169)
Study Help (p. 170)
Quiz 4.1 - 4.2 (p. 171)
4.3: Discounts and Markups (pp. 172 - 177)
4.4: Simple Interest (pp. 178 - 183)
Quiz 4.3 - 4.4 (p. 184)
Chapter Review (pp. 185 - 187)
Chapter Test (p. 188)
Standardized Test Practice (pp. 189 - 191)

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Vocabulary Help

Chapter 4: Crossword Puzzle

Lesson Tutorials

Section: 4.1

Example 1: Finding a Part of a Number:
Example 2: Finding a Percent:
Example 3: Finding a Whole:
Example 4: Real-Life Application:

Section: 4.2

Example 1: Finding a Percent of Increase:
Example 2: Finding a Percent of Decrease:
Example 3: Standardized Test Practice:

Section: 4.3

Example 1: Finding a Sale Price:
Example 2: Finding an Original Price:
Example 3: Finding a Selling Price:

Section: 4.4

Example 1: Finding Interest Earned:
Example 2: Finding an Annual Interest Rate:
Example 3: Finding an Amount of Time:
Example 4: Finding Amount Paid on a Loan:

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Chapter 4

Progress Check

Chapter 4.1 - 4.2 Quiz
Chapter 4.3 - 4.4 Quiz

Test Practice

Chapter 4

Spanish Chapter Reviews

Chapter 4

Interactive Activities

Section 4.1: Fraction Percent Bar
Section 4.3: Fraction Percent Bar

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Chapter 5: Similarity and Transformations (pp. 192 - 247)

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What You Learned Before (pp. 192 - 193)
5.1: Identifying Similar Figures (pp. 194 - 199)
5.2: Perimeters and Areas of Similar Figures (pp. 200 - 205)
5.3: Finding Unknown Measures in Similar Figures (pp. 206 - 211)
5.4: Scale Drawings (pp. 212 - 217)
5.4b: Scale Drawings (pp. 217A - 217B)
Study Help (p. 218)
Quiz 5.1 - 5.4 (p. 219)
5.5: Translations (pp. 220 - 225)
5.6: Reflections (pp. 226 - 231)
5.7: Rotations (pp. 232 - 237)
Quiz 5.5 - 5.7 (p. 238)
Chapter Review (pp. 239 - 243)
Chapter Test (p. 244)
Standardized Test Practice (pp. 245 - 247)

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Vocabulary Help

Chapter 5: Word Search

Lesson Tutorials

Section: 5.1

Example 1: Naming Corresponding Parts:
Example 2: Identifying Similar Figures:

Section: 5.2

Example 1: Finding Ratios of Perimeters:
Example 2: Finding Ratios of Areas:
Example 3: Real-Life Application:

Section: 5.3

Example 1: Finding an Unknown Measure:
Example 2: Standardized Test Practice:
Example 3: Using Indirect Measurement:
Example 4: Using Proportions to Find Area:

Section: 5.4

Example 1: Finding an Actual Distance:
Example 2: Standardized Test Practice:
Example 3: Finding a Scale Factor:

Section: 5.4b

Example 1: Finding an Actual Area:
Example 2: Recreating a Scale Drawing:

Section: 5.5

Example 1: Identifying a Translation:
Example 2: Translating a Figure:
Example 3: Translating a Figure:

Section: 5.6

Example 1: Identifying a Reflection:
Example 2: Reflecting a Figure in the x-axis:
Example 3: Reflecting a Figure in the y-axis:

Section: 5.7

Example 1: Standardized Test Practice:
Example 2: Rotating a Figure:
Example 3: Rotating a Figure:

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Chapter 5

Progress Check

Chapter 5.1 - 5.4 Quiz
Chapter 5.5 - 5.7 Quiz

Test Practice

Chapter 5

Spanish Chapter Reviews

Chapter 5

Interactive Activities

Section 5.2: Pattern Blocks
Section 5.5: Movable Example 2
Section 5.5: Movable Example 3
Section 5.5: Tessellations

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Chapter 6: Surface Areas of Solids (pp. 248 - 295)

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What You Learned Before (pp. 248 - 249)
6.1: Drawing 3-Dimensional Figures (pp. 250 - 255)
6.2: Surface Areas of Prisms (pp. 256 - 261)
6.2b: Circles (pp. 261A - 261B)
6.3: Surface Areas of Cylinders (pp. 262 - 267)
Study Help (p. 268)
Quiz 6.1 - 6.3 (p. 269)
6.4: Surface Areas of Pyramids (pp. 270 - 275)
6.5: Surface Areas of Cones (pp. 276 - 281)
6.6: Surface Areas of Composite Solids (pp. 282 - 287)
Quiz 6.4 - 6.6 (p. 288)
Chapter Review (pp. 289 - 291)
Chapter Test (p. 292)
Standardized Test Practice (pp. 293 - 295)

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Vocabulary Help

Chapter 6: Crossword Puzzle

Lesson Tutorials

Section: 6.1

Example 1: Drawing a Prism:
Example 2: Drawing a Pyramid:
Example 3: Drawing Views of a Solid:

Section: 6.2

Example 1: Finding the Surface Area of a Rectangular Prism:
Example 2: Finding the Surface Area of a Triangular Prism:

Section: 6.2b

Example 1: Finding a Radius and a Diameter:
Example 2: Finding the Circumference and Area of a Circle:

Section: 6.3

Example 1: Finding the Surface Area of a Cylinder:
Example 2: Finding Surface Area:
Example 3: Real-Life Application:

Section: 6.4

Example 1: Finding the Surface Area of a Square Pyramid:
Example 2: Finding the Surface Area of a Triangular Pyramid:
Example 3: Real-Life Application:

Section: 6.5

Example 1: Finding the Surface Area of a Cone:
Example 2: Finding the Slant Height of a Cone:
Example 3: Real-Life Application:

Section: 6.6

Example 1: Identifying Solids:
Example 2: Standardized Test Practice:
Example 3: Finding the Surface Area of a Composite Solid:

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Chapter 6

Progress Check

Chapter 6.1 - 6.3 Quiz
Chapter 6.4 - 6.6 Quiz

Test Practice

Chapter 6

Spanish Chapter Reviews

Chapter 6

Interactive Activities

Section 6.1: Stacking Cubes
Section 6.2: Movable Coins
Section 6.6: Stacking Cubes

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Chapter 7: Volumes of Solids (pp. 296 - 345)

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What You Learned Before (pp. 296 - 297)
7.1: Volumes of Prisms (pp. 298 - 303)
7.2: Volumes of Cylinders (pp. 304 - 309)
7.3: Volumes of Pyramids (pp. 310 - 315)
7.4: Volumes of Cones (pp. 316 - 321)
Study Help (p. 322)
Quiz 7.1 - 7.4 (p. 323)
7.5: Volumes of Composite Solids (pp. 324 - 329)
7.6: Surface Areas and Volumes of Similar Solids (pp. 330 - 337)
Quiz 7.5 - 7.6 (p. 338)
Chapter Review (pp. 339 - 341)
Chapter Test (p. 342)
Standardized Test Practice (pp. 343 - 345)

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Vocabulary Help

Chapter 7: Word Search

Lesson Tutorials

Section: 7.1

Example 1: Finding the Volume of a Prism:
Example 2: Finding the Volume of a Prism:
Example 3: Real-Life Application:

Section: 7.2

Example 1: Finding the Volume of a Cylinder:
Example 2: Finding the Height of a Cylinder:
Example 3: Real-Life Application:
Example 4: Standardized Test Practice:

Section: 7.3

Example 1: Finding the Volume of a Pyramid:
Example 2: Finding the Volume of a Pyramid:
Example 3: Real-Life Application:

Section: 7.4

Example 1: Finding the Volume of a Cone:
Example 2: Finding the Height of a Cone:
Example 3: Real-Life Application:

Section: 7.5

Example 1: Finding the Volume of a Composite Solid:
Example 2: Finding the Volume of a Composite Solid:
Example 3: Real-Life Application:

Section: 7.6

Example 1: Identifying Similar Solids:
Example 2: Finding Missing Measures in Similar Solids:
Example 3: Finding Surface Area:
Example 4: Standardized Test Practice:

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Chapter 7

Progress Check

Chapter 7.1 - 7.4 Quiz
Chapter 7.5 - 7.6 Quiz

Test Practice

Chapter 7

Spanish Chapter Reviews

Chapter 7

Interactive Activities

Section 7.1: Pattern Blocks

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Chapter 8: Data Analysis and Samples (pp. 346 - 381)

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What You Learned Before (pp. 346 - 347)
8.1: Stem-and-Leaf Plots (pp. 348 - 353)
8.2: Histograms (pp. 354 - 359)
Study Help (p. 360)
Quiz 8.1 - 8.2 (p. 361)
8.3: Circle Graphs (pp. 362 - 367)
8.4: Samples and Populations (pp. 368 - 373)
8.4b: Comparing Populations (pp. 373A - 373B)
Quiz 8.3 - 8.4 (p. 374)
Chapter Review (pp. 375 - 377)
Chapter Test (p. 378)
Standardized Test Practice (pp. 379 - 381)

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Vocabulary Help

Chapter 8: Crossword Puzzle

Lesson Tutorials

Section: 8.1

Example 1: Making a Stem-and-Leaf Plot:
Example 2: Interpreting a Stem-and-Leaf Plot:
Example 3: Standardized Test Practice:

Section: 8.2

Example 1: Making a Histogram:
Example 2: Using a Histogram:

Section: 8.3

Example 1: Making a Circle Graph:
Example 2: Using a Circle Graph:

Section: 8.4

Example 1: Identifying a Population and a Sample:
Example 2: Standardized Test Practice:
Example 3: Making Predictions:

Section: 8.4b

Example 1: Making Predictions from Samples:
Example 2: Using Samples to Compare Populations:

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Chapter 8

Progress Check

Chapter 8.1 - 8.2 Quiz
Chapter 8.3 - 8.4 Quiz

Test Practice

Chapter 8

Spanish Chapter Reviews

Chapter 8

Interactive Activities

Section 8.1: Stem-and-Leaf Plot
Section 8.3: Circle Graph

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Chapter 9: Probability (pp. 382 - 419)

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What You Learned Before (pp. 382 - 383)
9.1: Introduction to Probability (pp. 384 - 389)
9.2: Theoretical Probability (pp. 390 - 395)
Study Help (p. 396)
Quiz 9.1 - 9.2 (p. 397)
9.3: Experimental Probability (pp. 398 - 403)
9.4: Independent and Dependent Events (pp. 404 - 411)
Quiz 9.3 - 9.4 (p. 412)
Chapter Review (pp. 413 - 415)
Chapter Test (p. 416)
Standardized Test Practice (pp. 417 - 419)

Online Book

Vocabulary Help

Chapter 9: Word Search

Lesson Tutorials

Section: 9.1

Example 1: Identifying Outcomes:
Example 2: Counting Outcomes:

Section: 9.2

Example 1: Finding a Theoretical Probability:
Example 2: Using a Theoretical Probability:
Example 3: Making a Prediction:

Section: 9.3

Example 1: Standardized Test Practice:
Example 2: Making a Prediction:
Example 3: Comparing Experimental and Theoretical Probabilities:

Section: 9.4

Example 1: Identifying Independent and Dependent Events:
Example 2: Finding the Probability of Independent Events:
Example 3: Finding the Probability of Dependent Events:

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Chapter 9

Progress Check

Chapter 9.1 - 9.2 Quiz
Chapter 9.3 - 9.4 Quiz

Test Practice

Chapter 9

Spanish Chapter Reviews

Chapter 9

Interactive Activities

Section 9.1: Helicopter Flight Game

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Additional Topics : (pp. 420 - 427)

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What You Learned Before (pp. 420 - 421)
1: Angles (pp. 422 - 423)
2: Geometry (pp. 424 - 427)

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Lesson Tutorials

Section: 1

Example 1: Classifying Pairs of Angles:
Example 2: Finding Angle Measures:

Section: 2

Example 1: Constructing a Triangle with Given Side Length:
Example 2: Constructing a Triangle with Given Side Length:
Example 3: Constructing Triangles with Given Angle Measurements:
Example 4: Describing the Intersection of a Plane and a Solid:

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Appendix A: My Big Ideas Projects (pp. A1 - A9)

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A.1: Literature Project (pp. A2 - A3)
A.2: History Project (pp. A4 - A5)
A.3: Art Project (pp. A6 - A7)
A.4: Science Project (pp. A8 - A9)

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Support Links

Twenty Thousand Leagues Under the Sea: PDF Audio
A Journey to the Center of the Earth: PDF Audio
Around the World in Eighty Days: PDF Audio

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Appendix B: Exploring Equations and Functions (Online Only)

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B.1: Solving Multi-Step Equations
B.2: Solving Equations with Variables on Both Sides
B.3: Solving Equations Using Tables and Graphs
Study Help
Quiz B.1 - B.3
B.4: Slope of a Line
B.5: Linear Functions
Quiz B.4 - B.5
Chapter Review
Chapter Test

Online Book

Vocabulary Help

Appendix B: Crossword Puzzle

Lesson Tutorials

Section: B.1

Example 1: Combining Like Terms to Solve an Equation:
Example 2: Using the Distributive Property to Solve an Equation:
Example 3: Using a Formula:
Example 4: Real-Life Application:

Section: B.2

Example 1: Solving an Equation with Variables on Both Sides:
Example 2: Using the Distributive Property to Solve an Equation:
Example 3: Standardized Test Practice:
Example 4: Real-Life Application:

Section: B.3

Example 1: Solving an Equation Using a Table:
Example 2: Solving an Equation Using Graphs:
Example 3: Real-Life Application:

Section: B.4

Example 1: Real-Life Application:
Example 2: Finding the Slope of a Line:
Example 3: Graphing Lines Using a Point and a Slope:

Section: B.5

Example 1: Identifying Slopes and y-Intercepts:
Example 2: Graphing Lines Using Slope-Intercept Form:

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Appendix B

Progress Check

Appendix B.1 - B.3 Quiz
Appendix B.4 - B.5 Quiz

Test Practice

Appendix B

Spanish Chapter Reviews

Appendix B

Interactive Activities

Section B.1: Algebra Tiles
Section B.1: Thermometers
Section B.2: Algebra Tiles
Section B.4: Slope Explorer
Section B.4: Graph Tool

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