Unit 1: Linear Equations, Inequalities, Functions, and Systems xxiv
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Chapter 1: Equations and Inequalities xxiv
Prerequisite Skills xxiv
1.1 Apply Properties of Real Numbers 2
1.2 Evaluate and Simplify Algebraic Expressions 10
Assessment: Quiz for Lessons 1.1-1.2 16
Graphing Calculator Activity: Evaluate Expressions 17
1.3 Solve Linear Equations 18
Graphing Calculator Activity: Use Tables to Solve Equations 25
1.4 Rewrite Formulas and Equations 26
Mixed Review for TEKS 33
1.5 Use Problem Solving Strategies and Models 34
Assessment: Quiz for Lessons 1.3-1.5 40
1.6 Solve Linear Inequalities 41
Problem Solving Workshop 48
1.7 Solve Absolute Value Equations and Inequalities 51
Investigating Algebra: Absolute Value Equations and Inequalities 50
Assessment: Quiz for Lessons 1.6-1.7 58
Mixed Review for Teks 59
Assessment: Chapter Summary and Review 60
Assessment: Chapter Test 65
Assessment: TAKS Preparation and Practice 66
Chapter 2: Linear Equations and Functions 70
Prerequisite Skills 70
2.1 Represent Relations and Functions 72
2.2 Find Slope and Rate of Change 82
2.3 Graph Equations of Lines 89
Assessment: Quiz for Lessons 2.1-2.3 96
Graphing Calculator Activity: Graph Equations 97
2.4 Write Equations of Lines 98
Problem Solving Workshop 105
Mixed Review for TEKS 106
2.5 Model Direct Variation 107
2.6 Draw Scatter Plots and Best-Fitting Lines 113
Investigating Algebra: Fitting a Line to Data 112
Assessment: Quiz for Lessons 2.4-2.6 120
2.7 Use Absolute Value Functions and Transformations 123
Investigating Algebra: Exploring Transformations 121
2.8 Graph Linear Inequalities in Two Variables 132
Assessment: Quiz for Lessons 2.7-2.8 138
Mixed Review for TEKS 139
Assessment: Chapter Summary and Review 140
Assessment: Chapter Test 145
Assessment: TAKS Preparation and Practice 146
Chapter 3: Linear Systems and Matrices 150
Prerequisite Skills 150
3.1 Solve Linear Systems by Graphing 153
Investigating Algebra: Solving Linear Systems Using Tables 152
Graphing Calculator Activity: Graph Systems of Equations 159
3.2 Solve Linear Systems Algebraically 160
Assessment: Quiz for Lessons 3.1-3.2 167
3.3 Graph Systems of Linear Inequalities 168
3.4 Solve Systems of Linear Equations in Three Variables 178
Investigating Algebra: Graphing Linear Equations in Three Variables 177
Mixed Review for TEKS 186
3.5 Perform Basic Matrix Operations 187
Assessment: Quiz for Lessons 3.3-3.5 193
Graphing Calculator Activity: Use Matrix Operations 194
3.6 Multiply Matrices 195
3.7 Evaluate Determinants and Apply Cramer's Rule 203
3.8 Use Inverse Matrices to Solve Linear Systems 210
Assessment: Quiz for Lessons 3.6-3.8 217
Problem Solving Workshop 218
Mixed Review for TEKS 220
Assessment: Chapter Summary and Review 221
Assessment: Chapter Test 227
Assessment: TAKS Preparation and Practice 228
Assessment: Cumulative Review, Chapters 1-3 232