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