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,Table of Contents
Introduction 👋.............................................................................................................................................4
SAT Math Modules Layout............................................................................................................................ 4
Categories & Question Types........................................................................................................................4
♟️................................................................................................................................. 5
SAT Math Strategies
Part I. Algebra❓➕ ❓ 🟰 ❓................................................................................................................. 6
Concept #1 Linear Equations........................................................................................................................ 6
Concept #2 Functions................................................................................................................................... 11
Concept #3: Systems of Equations...........................................................................................................16
Concept #4: How Many Solutions?.......................................................................................................... 17
Concept #5 Interpreting an Equation.......................................................................................................26
Concept #6 Inequalities................................................................................................................................31
Math Strategy #1: Nice Numbers..............................................................................................................35
Answer Key Part I - Algebra..................................................................................................................38
✅................................................................................................................................... 39
Progress Check #1
Part II. Advanced Math🤓.......................................................................................................................45
Concept #1 Quadratics.................................................................................................................................45
Concept #2 Polynomials.............................................................................................................................. 53
Concept #3 Exponents................................................................................................................................. 58
Concept #4: Exponential Functions..........................................................................................................63
Concept #5: Absolute Value Expressions.............................................................................................. 73
Concept #6 Circle Equation........................................................................................................................ 77
Concept #7: Isolating a Variable (aka Equivalent Expressions)...................................................... 82
Answer Key Part II - Advanced Math.................................................................................................. 87
✅................................................................................................................................... 88
Progress Check #2
Part III. Problem-Solving and Data Analysis🧐................................................................................ 96
Math Strategy #2: Working Backwards..................................................................................................96
Concept #1: Percents..................................................................................................................................100
Concept #2: Probability............................................................................................................................. 106
Concept #3: Ratios...................................................................................................................................... 111
Concept #4 Conversion Problems..........................................................................................................115
Concept #5: Statistics.................................................................................................................................119
Concept #6 Margin of Error...................................................................................................................... 130
Answer Key Part III - Problem-Solving & Data Analysis............................................................. 136
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,Progress Check #3 Answers............................................................................................................... 142
Part IV. Geometry & Trigonometry 📐💠..........................................................................................145
Concept #1 Angle Chasing.......................................................................................................................145
Concept # 2 Similar Triangles..................................................................................................................148
Concept #3 Triangle Proofs......................................................................................................................153
Concept #4: Trigonometry........................................................................................................................ 160
Concept #5 Circles...................................................................................................................................... 172
Concept #6 Volume/Surface Area..........................................................................................................180
Answer Key Part IV - Geometry and Trigonometry...................................................................... 184
Progress Check #4 ✅.................................................................................................................................185
This includes Angle Chasing, Similar Triangles, Triangle Proofs, Trigonometry, Circles, and
Volume/Surface area.............................................................................................................................185
Part V. 700s Club Challenge Problems 🏆....................................................................................... 193
Part I: Challenge Problems to Use Desmos On.................................................................................193
Part II: Reconciling (Logic) Problems with an a, b, and/or c........................................................... 195
Part III: Additional Challenge Problems...............................................................................................204
Answer Key Part V - 700s Club Challenge Problems!................................................................. 215
Part VI. Cumulative Reviews 🧠..........................................................................................................216
Cumulative Review #1...............................................................................................................................216
Cumulative Review #2...............................................................................................................................223
Cumulative Review #3...............................................................................................................................229
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, Introduction 👋
SAT Math Modules Layout
It is important to understand the layout of the Math Sections, as well as the types of
questions involved.
Module 1 - 22 Questions, 35 minutes
Module 2* - 22 Questions, 35 minutes
*This module may be harder or easier depending on how you did on Module 1.
Categories & Question Types
1. Algebra (13-15 questions)
● Linear equations in 1 variable
● Linear equations in 2 variables
● Linear functions
● Systems of 2 linear equations in 2 variables
● Linear inequalities in 1 or 2 variables
2. Advanced Math (13-15 questions)
● Equivalent expressions
● Nonlinear equations in 1 variable
● Systems of equations in 2 variables
● Nonlinear functions
3. Problem-Solving and Data Analysis (5-7 questions)
● Ratios, rates, proportional relationships, and units
● Percentages
● One-variable data: distributions and measures of center and spread
● Two-variable data: models and scatterplots
● Probability and conditional probability
● Inference from sample statistics and margin of error
● Evaluating statistical claims: observational studies and experiments
4. Geometry & Trigonometry (5-7 questions)
● Area and volume formulas
● Lines, angles, and triangles
● Right triangles and trigonometry
● Circles
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,Table of Contents
Introduction 👋.............................................................................................................................................4
SAT Math Modules Layout............................................................................................................................ 4
Categories & Question Types........................................................................................................................4
♟️................................................................................................................................. 5
SAT Math Strategies
Part I. Algebra❓➕ ❓ 🟰 ❓................................................................................................................. 6
Concept #1 Linear Equations........................................................................................................................ 6
Concept #2 Functions................................................................................................................................... 11
Concept #3: Systems of Equations...........................................................................................................16
Concept #4: How Many Solutions?.......................................................................................................... 17
Concept #5 Interpreting an Equation.......................................................................................................26
Concept #6 Inequalities................................................................................................................................31
Math Strategy #1: Nice Numbers..............................................................................................................35
Answer Key Part I - Algebra..................................................................................................................38
✅................................................................................................................................... 39
Progress Check #1
Part II. Advanced Math🤓.......................................................................................................................45
Concept #1 Quadratics.................................................................................................................................45
Concept #2 Polynomials.............................................................................................................................. 53
Concept #3 Exponents................................................................................................................................. 58
Concept #4: Exponential Functions..........................................................................................................63
Concept #5: Absolute Value Expressions.............................................................................................. 73
Concept #6 Circle Equation........................................................................................................................ 77
Concept #7: Isolating a Variable (aka Equivalent Expressions)...................................................... 82
Answer Key Part II - Advanced Math.................................................................................................. 87
✅................................................................................................................................... 88
Progress Check #2
Part III. Problem-Solving and Data Analysis🧐................................................................................ 96
Math Strategy #2: Working Backwards..................................................................................................96
Concept #1: Percents..................................................................................................................................100
Concept #2: Probability............................................................................................................................. 106
Concept #3: Ratios...................................................................................................................................... 111
Concept #4 Conversion Problems..........................................................................................................115
Concept #5: Statistics.................................................................................................................................119
Concept #6 Margin of Error...................................................................................................................... 130
Answer Key Part III - Problem-Solving & Data Analysis............................................................. 136
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,Progress Check #3 Answers............................................................................................................... 142
Part IV. Geometry & Trigonometry 📐💠..........................................................................................145
Concept #1 Angle Chasing.......................................................................................................................145
Concept # 2 Similar Triangles..................................................................................................................148
Concept #3 Triangle Proofs......................................................................................................................153
Concept #4: Trigonometry........................................................................................................................ 160
Concept #5 Circles...................................................................................................................................... 172
Concept #6 Volume/Surface Area..........................................................................................................180
Answer Key Part IV - Geometry and Trigonometry...................................................................... 184
Progress Check #4 ✅.................................................................................................................................185
This includes Angle Chasing, Similar Triangles, Triangle Proofs, Trigonometry, Circles, and
Volume/Surface area.............................................................................................................................185
Part V. 700s Club Challenge Problems 🏆....................................................................................... 193
Part I: Challenge Problems to Use Desmos On.................................................................................193
Part II: Reconciling (Logic) Problems with an a, b, and/or c........................................................... 195
Part III: Additional Challenge Problems...............................................................................................204
Answer Key Part V - 700s Club Challenge Problems!................................................................. 215
Part VI. Cumulative Reviews 🧠..........................................................................................................216
Cumulative Review #1...............................................................................................................................216
Cumulative Review #2...............................................................................................................................223
Cumulative Review #3...............................................................................................................................229
www.strategictestprep.com ♟️ 1-833-300-PREP (7737) ♟️ 3
, Introduction 👋
SAT Math Modules Layout
It is important to understand the layout of the Math Sections, as well as the types of
questions involved.
Module 1 - 22 Questions, 35 minutes
Module 2* - 22 Questions, 35 minutes
*This module may be harder or easier depending on how you did on Module 1.
Categories & Question Types
1. Algebra (13-15 questions)
● Linear equations in 1 variable
● Linear equations in 2 variables
● Linear functions
● Systems of 2 linear equations in 2 variables
● Linear inequalities in 1 or 2 variables
2. Advanced Math (13-15 questions)
● Equivalent expressions
● Nonlinear equations in 1 variable
● Systems of equations in 2 variables
● Nonlinear functions
3. Problem-Solving and Data Analysis (5-7 questions)
● Ratios, rates, proportional relationships, and units
● Percentages
● One-variable data: distributions and measures of center and spread
● Two-variable data: models and scatterplots
● Probability and conditional probability
● Inference from sample statistics and margin of error
● Evaluating statistical claims: observational studies and experiments
4. Geometry & Trigonometry (5-7 questions)
● Area and volume formulas
● Lines, angles, and triangles
● Right triangles and trigonometry
● Circles
www.strategictestprep.com ♟️ 1-833-300-PREP (7737) ♟️ 4
