Pearson Algebra 1 Common Core, 2015
Answers, hints and solutions to all chapter exercises
Chapter
Entry-Level Assessment
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- Multiple Choice arrow_forward
Chapter 1
Foundations for Algebra
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- Get Ready! p.1
- Common Core Performance Task p.3
- 1. Variables and Expressions p.7-9
- 2. Order of Operations and Evaluating Expressions p.13-15
- 3. Real Numbers and the Number Line p.20-22
- 4. Properties of Real Numbers p.26-28
- Mid-Chapter Quiz p.29
- 5. Adding and Subtracting Real Numbers p.33-37
- 6. Multiplying and Dividing Real Numbers p.42-45
- 7. The Distributive Property p.49-52
- 8. An Introduction to Equations p.56-59
- Review p.60
- 9. Patterns, Equations, and Graphs p.64-66
- Pull It All Together p.67
- Chapter Review p.68-72
- Chapter Test p.73
- Common Core Cumulative Standards Review p.74-76
Chapter 2
Solving Equations
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- Get Ready! p.77
- Commo Core Performance Task p.79
- 1. Solving One-Step Equations p.80-87
- 2. Solving Two-Step Equations p.91-93
- 3. Solving Multi-Step Equations p.97-101
- 4. Solving Equations With Variables on Both Sides p.105-108
- 5. Literal Equations and Formulas p.112-114
- Mid-Chapter Quiz p.115
- 6. Ratios, Rates, and Conversions p.119-123
- 7. Solving Proportions p.127-129
- 8. Proportions and Similar Figures p.133-136
- 9. Percents p.141-143
- 10. Change Expressed as a Percent p.148-150
- Pull It All Together p.151
- Chapter Review p.152-156
- Chapter Test p.157
- Common Core Cumulative Standards Review p.158-160
Chapter 3
Solving Inequalities
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- Get Ready! p.161
- Common Core Performance Task p.163
- 1. Inequalities and Their Graphs p.167-170
- 2. Solving Inequalities Using Addition or Subtraction p.174-177
- 3. Solving Inequalities Using Multiplication or Division p.181-184
- 4. Solving Multi-Step Inequalities p.185-192
- Mid-Chapter Quiz p.193
- 5. Working With Sets p.197-199
- 6. Compound Inequalities p.204-206
- 7. Absolute Value Equations and Inequalities p.210-213
- 8. Unions and Intersections of Sets p.218-220
- Pull It All Together p.221
- Chapter Review p.222-226
- Chapter Test p.227
- Common Core Cumulative Standards Review p.228-230
Chapter 4
An Introduction to Functions
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- Get Ready! p.231
- Common Core Performance Task p.233
- 1. Using Graphs to Relate Two Quantities p.237-239
- 2. Patterns and Linear Functions p.243-245
- 3. Patterns and Nonlinear Functions p.249-251
- Mid-Chapter Quiz p.252
- 4. Graphing a Function Rule p.257-261
- 5. Writing a Function Rule p.264-267
- 6. Formalizing Relations and Functions p.271-273
- 7. Arithmetic Sequences p.278-281
- Pull It All Together p.282
- Chapter Review p.283-286
- Chapter Test p.287
- Common Core Cumulative Standards Review p.288-290
Chapter 5
Linear Functions
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- Get Ready! p.291
- Common Core Performance Task p.293
- 1. Rate of Change and Slope p.297-300
- 2. Direct Variation p.304-307
- 3. Slope-Intercept Form p.311-314
- 4. Point-Slope Form p.318-320
- Mid-Chapter Quiz p.321
- 5. Standard Form p.325-329
- 6. Parallel and Perpendicular Lines p.333-335
- 7. Scatter Plots and Trend Lines p.340-345
- 8. Graphing Absolute Value Functions p.348-351
- Pull It All Together p.352
- Chapter Review p.353-356
- Chapter Test p.357
- Common Core Cumulative Standards Review p.358-360
Chapter 6
Systems of Equations and Inequalities
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- Get Ready! p.361
- Common Core Performance Task p.363
- 1. Solving Systems by Graphing p.367-370
- 2. Solving Systems Using Substitution p.371-377
- 3. Solving Systems Using Elimination p.381-386
- 4. Applications of Linear Systems p.390-392
- Mid-Chapter Quiz p.393
- 5. Linear Inequalities p.397-399
- 6. Systems of Linear Inequalities p.402-406
- Pull It All Together p.407
- Chapter Review p.408-410
- Chapter Test p.411
- Common Core Cumulative Standards Review p.412-414
Chapter 7
Exponents and Exponential Functions
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- Get Ready! p.415
- Common Core Performance Task p.417
- 1. Zero and Negative Exponents p.421-424
- 2. Multiplying Powers With the Same Base p.429-432
- 3. More Multiplication Properties of Exponents p.436-438
- 4. Division Properties of Exponents p.442-445
- Mid-Chapter Quiz p.446
- 5. Rational Exponents and Radicals p.447-452
- 6. Exponential Functions p.456-459
- 7. Exponential Growth and Decay p.463-466
- 8. Geometric Sequences p.470-472
- Pull It All Together p.473
- Chapter Review p.474-478
- Chapter Test p.479
- Common Core Cumulative Standards Review p.480-482
Chapter 8
Polynomials and Factoring
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- Get Ready! p.483
- Common Core Performance Task p.485
- 1. Adding and Subtracting Polynomials p.489-491
- 2. Multiplying and Factoring p.494-497
- 3. Multiplying Binomials p.501-503
- 4. Multiplying Special Cases p.507-509
- Mid-Chapter Quiz p.510
- 5. Factoring x²+ bx + c p.511-517
- 6. Factoring ax²+ bx + c p.520-522
- 7. Factoring Special Cases p.526-528
- 8. Factoring by Grouping p.531-533
- Pull It All Together p.534
- Chapter Review p.535-538
- Chapter Test p.539
- Common Core Cumulative Standards Review p.540-542
Chapter 9
Quadratic Functions and Equations
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- Get Ready! p.543
- Common Core Performance Task p.545
- 1. Quadratic Graphs and Their Properties p.549-552
- 2. Quadratic Functions p.556-560
- 3. Solving Quadratic Equations p.563-567
- 4. Factoring to Solve Quadratic Equations p.570-574
- Mid-Chapter Quiz p.575
- 5. Completing the Square p.579-581
- 6. The Quadratic Formula and the Discriminant p.586-588
- 7. Linear, Quadratic, and Exponential Models p.592-595
- 8. Systems of Linear and Quadratic Equations p.599-601
- Pull It All Together p.602
- Chapter Review p.603-606
- Chapter Test p.607
- Common Core Cumulative Standards Review p.608-610
Chapter 10
Radical Expressions and Equations
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- Get Ready! p.611
- Common Core Performance Task p.613
- 1. The Pythagorean Theorem p.616-618
- 2. Simplifying Radicals p.623-625
- 3. Operations With Radical Expressions p.629-631
- Mid-Chapter Quiz p.632
- 4. Solving Radical Equations p.636-638
- 5. Graphing Square Root Functions p.641-644
- 6. Trigonometric Ratios p.649-651
- Pull It All Together p.652
- Chapter Review p.653-656
- Chapter Test p.657
- Common Core Cumulative Standards Review p.658-660
Chapter 11
Rational Expressions and Functions
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- Get Ready! p.661
- Common Core Performance Task p.663
- 1. Simplifying Rational Expressions p.667-669
- 2. Multiplying and Dividing Rational Expressions p.673-676
- 3. Dividing Polynomials p.677-683
- 4. Adding and Subtracting Rational Expressions p.687-689
- Mid-Chapter Quiz p.690
- 5. Solving Rational Equations p.695-697
- 6. Inverse Variation p.702-704
- 7. Graphing Rational Functions p.710-713
- Pull It All Together p.714
- Chapter Review p.715-718
- Chapter Test p.719
- Common Core Cumulative Standards Review p.720-722
Chapter 12
Data Analysis and Probability
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- Get Ready! p.723
- Common Core Performance Task p.725
- 1. Organizing Data Using Matrices p.729-731
- 2. Frequency and Histograms p.735-737
- 3. Measures of Central Tendency and Dispersion p.742-745
- 4. Box-and-Whisker Plots p.749-752
- 5. Samples and Surveys p.756-760
- Mid-Chapter Quiz p.761
- 6. Permutations and Combinations p.765-768
- 7. Theoretical and Experimental Probability p.772-775
- 8. Probability of Compound Events p.780-784
- Pull It All Together p.785
- Chapter Review p.786-790
- Chapter Test p.791
Chapter
End-of-Course Assessment
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- Exercises p.792-797
Chapter
Skills Handbook
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- Prime Numbers and Composite Numbers p.798
- Factors and Multiples p.799
- Using Estimation p.800
- Simplifying Fractions p.801
- Fractions and Decimals p.802
- Adding and Subtracting Fractions p.803
- Multiplying and Dividing Fractions p.804
- Fractions, Decimals, and Percents p.805
- Exponents p.806
- Scientific Notation and Significant Digits p.807
- Perimeter, Area, and Volume p.808
- Line Plots p.809
- Bar Graphs p.810
- Line Graphs p.811
- Circle Graphs p.812
- Stem-and-Leaf Plots p.813
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