SAT Ⅱ数学. Level 1

PART I. ABOUT THE SAT MATH LEVEL 1 TEST
Chapter 1 Test Basics 
About the Math Level 1 Test 
The Level 1 vs. Level 2 Test 
How to Use This Book 
Chapter 2 Calculator Tips 
On the Day of the Test 
Chapter 3 Diagnostic Test 
Answer Key 
Answers and Solutions 
PART II. MATH REVIEW
Chapter 4 Algebra 
Evaluating Expressions 
Order of Operations 
Fractions 
Simplifying Fractions 
Least Common Denominator 
Multiplying Fractions 
Using Mixed Numbers and Improper Fractions 
Variables in the Denominator 
Percents 
Converting Percents to Decimals 
Converting Fractions to Percents 
Percent Problems 
Exponents 
Properties of Exponents 
Common Mistakes with Exponents 
Rational Exponents 
Negative Exponents 
Variables in an Exponent 
Real Numbers 
Vocabulary 
Properties of Real Numbers 
Absolute Value 
Radical Expressions 
Roots of Real Numbers 
Simplest Radical Form 
Rationalizing the Denominator 
Conjugates 
Polynomials 
Vocabulary 
Adding and Subtracting Polynomials 
Multiplying Polynomials 
Factoring 
Quadratic Equations 
Quadratic Formula 
Solving by Substitution 
The Discriminant 
Equations with Radicals 
Inequalities 
Transitive Property of Inequality 
Addition and Multiplication Properties 
“And” vs. “Or” 
Inequalities with Absolute Value 
Rational Expressions 
Simplifying Rational Expressions 
Multiplying and Dividing Rational Expressions 
Solving Equations with Rational Expressions 
Systems 
Solving by Substitution 
Solving by Linear Combination 
No Solution vs. Infinite Solutions 
Word Problems with Systems 
Chapter 5 Plane Geometry 
Undefined Terms 
Lines, Segments, Rays 
Angles 
Measures of Angles 
Supplementary and Complementary Angles 
Vertical Angles 
Linear Pairs of Angles 
Triangles 
Types of Triangles 
Sum of Interior Angles and Exterior Angles 
Medians, Altitudes, and Angle Bisectors 
Congruent Triangles 
Isosceles Triangles 
Triangle Inequality 
Pythagorean Theorem 
Special Right Triangles 
Parallel Lines 
Polygons 
Types of Polygons 
Perimeter 
Sum of the Interior Angles 
Sum of the Exterior Angles 
Special Quadrilaterals 
Similarity 
Ratio and Proportion 
Similar Triangles 
Circles 
Chords 
Tangents 
Arcs and Angles 
Circumference 
Arc Length 
Area 
Area Formulas 
Area vs. Perimeter 
Area Ratio of Similar Figures 
Figures That Combine Numerous Shapes 
Chapter 6 Solid Geometry 
Vocabulary for Polyhedra 
Prisms 
Distance Between Opposite Vertices of a RectangularPrism 
Cylinders 
Pyramids 
Cones 
Spheres 
Volume Ratio of Similar Figures 
Chapter 7 Coordinate Geometry 
Plotting Points 
Midpoint 
Distance 
Slope 
Slope of Parallel and Perpendicular Lines 
Equations of Lines 
Horizontal and Vertical Lines 
Standard Form 
Point-Slope Form 
Slope-Intercept Form 
Determining x- and y-Intercepts 
Circles 
Parabolas 
Graphing Inequalities 
Graphing Absolute Value 
Chapter 8 Trigonometry 
Right Triangle Trigonometry 
Relationships Among Trigonometric Ratios 
Secant, Cosecant, Cotangent 
Cofunction Identities 
Inverse Functions 
Special Right Triangles 
Trigonometric Identities 
Chapter 9 Functions 
Functional Notation 
Functions vs. Relations 
Graphing Functions 
Composition of Functions 
Identity, Zero, and Constant Functions 
Determining the Maximum or Minimum 
The Roots of a Quadratic Function 
Inverse Functions 
Rational Functions 
Higher-Degree Polynomial Functions 
Exponential Functions 
Chapter 10 Data Analysis, Statistics, and Probability 
Counting Problems 
Probability 
Mean, Median, Mode 
Data Interpretation 
Chapter 11 Number and Operations 
Invented Operations 
“In Terms Of” Problems 
Sequences 
Arithmetic Sequences 
Geometric Sequences 
Logic 
Number Theory 
PART III. SIX PRACTICE TESTS
Practice Test 1 
Answer Key 
Answers and Solutions 
Diagnose Your Strengths and Weaknesses 
Practice Test 2 
Answer Key 
Answers and Solutions 
Diagnose Your Strengths and Weaknesses 
Practice Test 3 
Answer Key 
Answers and Solutions 
Diagnose Your Strengths and Weaknesses 
Practice Test 4 
Answer Key 
Answers and Solutions 
Diagnose Your Strengths and Weaknesses 
Practice Test 5 
Answer Key 
Answers and Solutions 
Diagnose Your Strengths and Weaknesses 
Practice Test 6 
Answer Key 
Answers and Solutions 
Diagnose Your Strengths and Weaknesses