HSA Study Guide

Unit: The Language of Algebra
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Calculator Notes
Examples and Explanations in the Textbook Section 1.1: Variables and Expressions pages 6 - 7 Section 1.2: Order of Operations pages 11 - 13 Section 1.3: Open Sentences pages 16 - 18 Section 1.4: Identity and Equality Properties pages 21 - 23 Section 1.5: Distributive Property pages 26 - 29 Section 1.6: Commutative and Associative Properties pages 32 - 34	Class Notes Variables and Expressions Section 1.1 Order of Operations Section 1.2 Open Sentences Section 1.3 Identity and Equality Properties Section 1.4 Distributive Property and Like Terms Section 1.5 Commutative and Associative Properties Section 1.6 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 1.1: Variables and Expressions pages 8 - 9 Section 1.2: Order of Operations pages 13 - 14 Section 1.3: Open Sentences page 19 Section 1.4: Identity and Equality Properties pages 23 - 24 Section 1.5: Distributive Property pages 30 - 31 Section 1.6: Commutative and Associative Properties pages 34 - 35
Unit: Real Numbers and Matrices
Examples and Explanations in the Textbook Section 2.1: Rational Numbers pages 68 - 70 Section 2.2: Adding and Subtracting Rational Numbers pages 73 - 75 Section 2.3: Multiplying Rational Numbers pages 79 - 81 Section 2.4: Dividing Rational Numbers pages 84 - 85 Section 13.2: Introduction to Matrices pages 715 - 717	Class Notes Rational Numbers Section 2.1 Adding and Subtracting Rational Numbers Section 2.2 Multiplying Rational Numbers Section 2.3 Dividing Rational Numbers Section 2.4 Introduction to Matrices Section 13.2 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 2.1: Rational Numbers pages 70 - 72 Section 2.2: Adding and Subtracting Rational Numbers pages 76 - 77 Section 2.3: Multiplying Rational Numbers pages 81 - 82 Section 2.4: Dividing Rational Numbers pages 86 - 87 Section 13.2: Introduction to Matrices pages 718 - 720
Unit: Solving Linear Equations
Examples and Explanations in the Textbook Section 3.1: Writing Equations pages 120 - 123 Section 3.2: Solving Equations by Using Addition and Subtraction pages 128 - 131 Section 3.3: Solving Equations by Using Multiplication and Division pages 135 - 137 Section 3.4: Solving Multi-Step Equations pages 142 - 144 Section 3.5: Solving Equations with the Variable on Each Side pages 149 - 151 Section 6.5: Solving Equations Involving Absolute Value pages 345 - 346 Section 3.6: Ratios and Proportions pages 155 - 157 Section 3.8: Solving Equations and Formulas pages 166 - 168	Class Notes Writing Equations Section 3.1 Solving Equations Using Addition and Subtraction Section 3.2 Solving Equations Using Multiplication and Division Section 3.3 Solving Multi-Step Equations Section 3.4 Solving Equations with the Variable on Each Side Section 3.5 Solving Equations Involving Absolute Value Section 6.5 Ratios and Proportions Section 3.6 Solving Equations and Formulas Section 3.8 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 3.1: Writing Equations pages 124 - 125 Section 3.2: Solving Equations by Using Addition and Subtraction pages 132 - 133 Section 3.3: Solving Equations by Using Multiplication and Division pages 138 - 139 Section 3.4: Solving Multi-Step Equations pages 145 - 147 Section 3.5: Solving Equations with the Variable on Each Side pages 152 - 153 Section 6.5: Solving Equations Involving Absolute Value page 350 Section 3.6: Ratios and Proportions pages 158 - 159 Section 3.8: Solving Equations and Formulas pages 168 - 169
Unit: Solving Linear Inequalities in One Variable
Examples and Explanations in the Textbook Section 6.1: Solving Inequalities by Addition and Subtraction pages 318 - 321 Section 6.2: Solving Inequalities by Multiplication and Division pages 325 - 328 Section 6.3: Solving Multi-Step Inequalities pages 332 - 334 Section 6.4: Solving Compound Inequalities pages 339 - 341	Class Notes Solving Inequalities by Addition and Subtraction Section 6.1 Solving Inequalities by Multiplication and Division Section 6.2 Solving Multi-Step Inequalities Section 6.3 Solving Compound Inequalities Section 6.4 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 6.1: Solving Inequalities by Addition and Subtraction pages 321 - 322 Section 6.2: Solving Inequalities by Multiplication and Division pages 329 - 330 Section 6.3: Solving Multi-Step Inequalities pages 335 - 336 Section 6.4: Solving Compound Inequalities pages 342 - 343
Unit: Graph Interpretation, Functions, Patterns, and Multiple Representations
Examples and Explanations in the Textbook Section 1.8: Graphs and Functions pages 43 - 45 Section 4.3: Relations pages 205 - 207 Section 4.4: Equations as Relations pages 212 - 214 Section 4.6: Functions pages 226 - 228 Section 4.7: Arithmetic Sequences pages 233 - 235 Section 4.8: Reasoning pages 240 - 243 Section 10.7: Geometric Sequences pages 567 - 570	Class Notes Graphs and Functions Section 1.8 Relations Section 4.3 Equations as Relations Section 4.4 Functions Section 4.6 Arithmetic Sequences Section 4.7 Reasoning Section 4.8 Geometric Sequences Section 10.7 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 1.8: Graphs and Functions pages 46 - 47 Section 4.3: Relations pages 208 - 210 Section 4.4: Equations as Relations pages 215 - 216 Section 4.6: Functions pages 229 - 230 Section 4.7: Arithmetic Sequences pages 236 - 238 Section 4.8: Reasoning pages 243 - 245 Section 10.7: Geometric Sequences pages 570 - 571
Unit: Graphing Linear Equations and Linear Inequalities in Two Variables
Examples and Explanations in the Textbook Section 4.1: The Coordinate Plane pages 192 - 194 Section 4.5: Graphing Linear Equations pages 218 - 221 Section 5.1: Slope pages 256 - 259 Section 5.3: Slope-Intercept Form pages 272 - 274 Section 6.6: Graphing Inequalities in Two Variables pages 352 - 355	Class Notes The Coordinate Plane Section 4.1 Graphing Linear Equations Section 4.5 Slope Section 5.1 Slope-Intercept Form Section 5.3 Graphing Inequalities in Two Variables Section 6.6 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 4.1: The Coordinate Plane page 195 Section 4.5: Graphing Linear Equations pages 221 - 222 Section 5.1: Slope pages 259 - 261 Section 5.3: Slope-Intercept Form pages 275 - 276 Section 6.6: Graphing Inequalities in Two Variables page 356
Unit: Writing Linear Equations and Line of Best Fit
Examples and Explanations in the Textbook Section 5.4: Writing Equations in Slope-Intercept Form pages 280 - 283 Section 5.5: Writing Equations in Point-Slope Form pages 286 - 288 Section 5.6: Geometry: Parallel and Perpendicular Lines pages 292 - 295 Section 5.7: Statistics: Scatter Plots and Lines of Fit pages 298 - 301	Class Notes Writing Equations in Slope-Intercept Form Section 5.4 Writing Equations in Point-Slope Form Section 5.5 Geometry: Parallel and Perpendicular Lines Section 5.6 Statistics: Scatter Plots and Lines of Fit Section 5.7 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 5.4: Writing Equations in Slope-Intercept Form pages 284 - 285 Section 5.5: Writing Equations in Point-Slope Form pages 289 - 290 Section 5.6: Geometry: Parallel and Perpendicular Lines pages 295 - 296 Section 5.7: Statistics: Scatter Plots and Lines of Fit pages 302 - 304
Unit: Linear Systems/Systems of Linear Inequalities
Examples and Explanations in the Textbook Section 7.1: Solving Systems of Equations Using Graphing pages 369 - 371 Section 7.2: Solving Systems of Equations Using Substitution pages 376 - 379 Section 7.3: Solving Systems of Equations Using Elimination (Addition and Subtraction) pages 382 - 384 Section 7.4: Solving Systems of Equations Using Elimination (Multiplication) pages 387 - 390 Section 7.5: Graphing Systems of Inequalities pages 394 - 396	Class Notes Systems of Equations Section 7.1 Solving Systems of Equations Using Graphing Calculator Section 7.1 Solving Systems of Equations Using Substitution Section 7.2 Solving Systems of Equations Using Elimination (Addition and Subtraction) Section 7.3 Solving Systems of Equations Using Elimination (Multiplication) Section 7.4 Graphing Systems of Inequalities Section 7.5 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 7.1: Solving Systems of Equations Using Graphing pages 372 - 373 Section 7.2: Solving Systems of Equations Using Substitution pages 379 - 380 Section 7.3: Solving Systems of Equations Using Elimination (Addition and Subtraction) page 385 Section 7.4: Solving Systems of Equations Using Elimination (Multiplication) page 391 Section 7.5: Graphing Systems of Inequalities pages 397 - 398
Unit: Data Analysis
Examples and Explanations in the Textbook Section 1.9: Tables and Graphs pages 50 - 52 Section 2.5: Displaying and Analyzing Data pages 88 - 91 Section 13.3: Histograms pages 722 - 724 Section 13.4: Measures of Variation pages 731 - 733 Section 13.5: Box-and-Whisker Plot pages 737 - 739	Class Notes Tables and Graphs Section 1.9 Displaying and Analyzing Data Section 2.5 Histograms Section 13.3 Measures of Variation Section 13.4 Box-and-Whisker Plot Section 13.5 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 1.9: Tables and Graphs pages 54 - 55 Section 2.5: Displaying and Analyzing Data pages 91 - 94 Section 13.3: Histograms pages 725 - 727 Section 13.4: Measures of Variation pages 734 - 735 Section 13.5: Box-and-Whisker Plot pages 740 - 741
Unit: Probability
Examples and Explanations in the Textbook Section 2.6: Probability pages 96 - 98 Section 14.1: Counting Outcomes pages 754 - 756 Section 14.3: Probability of Compound Events pages 769 - 772	Class Notes Probability Section 2.6 Counting Outcomes Section 14.1 Probability of Compound Events Section 14.3 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 2.6: Odd Problems pages 99 - 100 Section 14.1: Odd Problems pages 756 - 757 Section 14.3: Odd Problems pages 773 - 775
Unit: Experimental Design
Examples and Explanations in the Textbook Section 13.1: Sampling and Bias pages 708 - 710 Section 14.5: Probability Simulations pages 782 - 784	Class Notes Sampling and Bias Section 13.1 Probability Simulations Section 14.5 Addition Practice For Study in the Textbook Answers are in the back of the book. Section 13.1: Odd Problems pages 710 - 712 Section 14.5: Odd Problems pages 785 - 786