SAT Math Mastery: Essential Algebra 1 & Algebra 2

Recommended Lesson Study Plan
	Volume 1
	Volume 2
Topics By Frequency of Appearance on the SAT Math
Topics By Importance to No-Calculator Section
Topics By Importance to Calculator Section
Formulas and Equations to Memorize (Volume 1)
	Volume 1
	Table of Contents
About Me (and Why I Can Help You Succeed!)
	Study Plan:
	More Details
Prelesson 1: Overview of the SAT & SAT Math Test
Prelesson 2: Free Response Questions
Prelesson 3: SAT Math vs ACT Math
Prelesson 6: The 4 Careless Math Mistakes
	1.Negative Signs and Subtraction
	2.Distributing and Parentheses
A simple example of distributing is below:
	3.Misreading or Incomplete Reading
	4.The Switcheroo
Prelesson 8: Backup Strategies
	Testing the Answer Choices
	Plugging In Numbers
	“Strategies” are a Poor Substitute for Content Mas
Prelesson 9: Order of Operations (PEMDAS)
First we work the Parentheses:
	Adding & Subtracting Fractions
First, we need a common denominator:
	Multiplying & Dividing Fractions
	Exponents & Roots with Fractions
	Reducing Fractions
	Calculators with Fractions
Volume 1: Pretest 1
	Volume 1: Pretest 1
Volume 1: Pretest 2
	Volume 1: Pretest 2
Lesson 1: Basic Algebra 1 & Inequalities
	Basic Algebra 1 & Inequalities Quick Reference
	What is Basic Algebra?
	Constants and Variables
	Algebra Guidelines and Warnings
	Combining Like Terms
	Distributing & Basic Fractions
	Pretest Example #1
	Inequality Algebra
	Pretest Example #2
	Review & Encouragement:
	Basic Algebra 1 & Inequalities Practice Questions
1.D
2.D
3.A
4.C
5.B
6.C
7.A
8.A
9.B
10.B
	Basic Algebra 1 & Inequalities Explanations
Lesson 2: Advanced Algebra 1
	Advanced Algebra 1 Quick Reference
	Basic Factoring
	Word Problems with Rearrangement
	Pretest Question #1
	Strategy: Testing Answer Choices
	Square Roots
	False Solutions and Square Roots:
	Pretest Question #2
	Review & Encouragement
	Advanced Algebra 1 Practice Questions
1.C
2.B
3.B
4.D
5.A
6.C
7.A
8.B
9.C
10.D
Lesson 3: Absolute Value
	Absolute Value Quick Reference
	What is Absolute Value?
	Algebra with Absolute Values
	Pretest Question #1
	Graphing Absolute Value
	Pretest Question #2
1.B
2.D
4.C
5.D
7.C
8.B
9.A
	Absolute Value Explanations
Lesson 4: Algebra 1 Word Problems
	Algebra 1 Word Problems Quick Reference
	Secret Tricks & Common Mistakes on Algebra Word Pr
	Pretest Question #1
	Strategy: Making Up Values
	Pretest Question #2
	Algebra 1 Word Problems Practice Questions
	Algebra 1 Word Problems Answers
Lesson 5: d=rt (Distance Equals Rate Times Time)
	d=rt Quick Reference
	Pretest Question #1
	Unit Conversions in d=rt Questions
	Pretest Question #2
	Review & Encouragement
	d=rt Practice Questions
	d=rt Answers
2.D
3.A
4.B
5.B
8.C
First, from home to Airport A:
Lesson 6: Averages with Algebra
	Averages with Algebra Quick Reference
	Pretest Question #1
	Pretest Question #2
	Review & Encouragement
Lesson 7: Ratios & Proportions
	Ratios & Proportions Quick Reference
	Introduction to Proportions
	Review & Encouragement
1.B
2.B
5.C
6.A
7.C
9.D
10.D
11.C
13.B
First, the sea otter ratio:
First, Neptune:
Lesson 8: Unit Conversions
	Unit Conversions Quick Reference
	Advanced Unit Conversions: The Fencepost Method E
Lesson 9: Linear Equations (Algebraic)
	Linear Equations (Algebraic) Quick Reference
	Negative Slope, Zero Slope, and Undefined Slope
	Graphing Linear Equations
	Intersections of Lines
	Pretest Question #1
	Parallel & Perpendicular Lines
	Quadrants
	Inequality Graphing & Shading
	Pretest Question #2
	Review & Encouragement
18.B
Lesson 10: Linear Equations (Words & Tables)
	Linear Equations (Words & Tables) Quick Reference
	Setting Up Word Problems Into Linear Equations
	Pretest Question #1
	Charts, Tables, and Linear Equations
	Lines of Best Fit
	Pretest Question #2
	Review & Encouragement
Lesson 11: Probability
	Probability Quick Reference
	Pretest Question #2
1.A
2.C
3.D
4.D
6.B
9.C
10.B
Lesson 12: Charts & Tables
	Charts & Tables Quick Reference
	Pretest Question #1
	Pretest Question #2
	Review & Encouragement
I.Paint A
II.Paint B
III.Paint C
1.A
2.C
3.D
4.A
5.B
6.A
7.C
8.B
9.4,400
First, Choice A:
Lesson 13: Percents
	Percents Quick Reference
	“Sea Level” is 100%
	Decimals and “Percent Multipliers”
	Using Multiple Percent Multipliers
	Percent Change
	Percent Increase & Decrease Are NOT Mirror Images
	Using Algebra with Percents
	Pretest Question #2
	Review & Encouragement
1.A
2.D
3.C
5.D
6.C
7.B
10.2,800
13.D
15.B
Lesson 14: Exponents & Roots
	Exponents & Roots Quick Reference
	Raising to the Power of 0
	Essential Exponent Rule #1: Multiplying Same Bases
	Essential Exponent Rule #2: Dividing Same Bases
	Essential Exponent Rule #3: Exponents on Exponents
	Simplifying Roots
	Writing Roots as Exponents
	Fractional Exponents
	Negative Exponents
	Combo Exponents
	Pretest Question #1
	Algebra with Exponents
	Pretest Question #2
	Review & Encouragement
1.B
2.A
3.1, 2, 3, 4, 6, or 12
4.C
5.C
7.B
8.A
9.A
10.D
Lesson 15: Exponential Growth & Decay
	Exponential Growth & Decay Quick Reference
	Calculating Exponential Growth & Decay
	Unusual Time Periods
	Graphing Exponential Growth & Decay
	Algebra and Exponential Change
	Pretest Question #2
1.D
2.C
3.A
4.D
6.B
7.A
8.C
9.B
10.C
11.1,100
13.6,069
First, we have a starting value of 1.3 kilograms:
Lesson 16: Basic Algebra 2
	Basic Algebra 2 Quick Reference
	Zeros, Roots, Solutions, and x-Intercepts
	Factoring
100:
	Solving with FOILing, Factoring, & Quadratic Equa
	Checking for False Roots
	Pretest Question #1
	Pretest Question #2
	Review & Encouragement
2.C
4.D
5.D
6.A
7.C
8.B
10.A
11.B
12.D
Lesson 17: The Quadratic Formula
	Quadratic Formula Quick Reference
	Pretest Question #1
	Pretest Question #2
	Review & Encouragement
1.A
2.B
3.D
4.C
6.C
8.A
Lesson 18: Advanced Algebra 2
	Advanced Algebra 2 Quick Reference
	Pretest Question #1
	Pretest Question #2
	Review & Encouragement
First, we have to set everything equal to 0:
Lesson 19: Algebra 2 Parabolas
	Algebra 2 Parabolas Quick Reference
	Finding the Intercepts
	The Vertex
	Putting It All Together
	Pretest Question #1
	Parabola Transformations
	Other Parabola Equation Forms
	“Displayed as Constants or Coefficients”
	Review & Encouragement
First, I’ll test Choice A:
First, set the y-value to 0:
Volume 1: Posttest 1
	Volume 1: Posttest 1
Volume 1: Posttest 2
	Volume 1: Posttest 2
Review of the SAT Math Test
Final Words
About the Author
Also by Christian Heath