SAT Math

PSAT
What is the PSAT?
PSAT - Math Section
PSAT- Critical Reading Section
PSAT - Writing Section

PSAT Math
Basics, Picking Numbers, Order of Operations, Odd/Even
Prime Numbers, Factors, Multiples, Averages
Ratio, Probabilty, Variable, Quadratics, Quadratic Equations
Pythagorean Theorem, Special Right Triangles
Angles, Circles, Tangents
Equations, Functions

PSAT Critical Reading and Writing
PSAT Sentence Completion
PSAT Critical Reading I
PSAT Critical Reading II
PSAT Writing I
PSAT Writing II

SAT
What is the SAT?

ACT vs SAT
Planning Your Testing Calender
College Admission

SAT Tips and Strategies I
SAT Tips and Strategies II

Sample SAT math problems from the Princeton Review workbook
Sample SAT math problems from the Princeton Review workbook

SAT Math Practice Guide Section 2
SAT Math Practice Guide Section 6
SAT Math Practice Guide Section 8

SAT Math Practice Test

SAT Practice Test (CollegeBoard Preparation Booklet 2009-2010)

Download Free Practice Test Questions 2009-2010

Solutions for Section 2, Questions 1 - 16
Solutions for Section 2, Questions 17 - 20

SAT Practice Test (CollegeBoard Preparation Booklet 2008-2009)

Download Free Practice Test Questions 2008 - 2009

Solutions for Section 2, Questions 1 - 10
Solutions for Section 2, Questions 11 - 20
Solutions for Section 6, Questions 1 - 12
Solutions for Section 8, Questions 1 - 8
Solutions for Section 8, Questions 9 - 16

SAT Practice Tests from The Official SAT Study Guide (1st Edition)

Practice Test #1
Practice Test #2
Practice Test #3
Practice Test #4
Practice Test #5
Practice Test #6
Practice Test #7
Practice Test #8

Number and Operations Review

Concepts that you need to know for the SAT

SAT Arithmetic Strategies

Properties of Integers

Even and Odd Numbers
Operations on Even and Odd Numbers
Addition and Multiplication of Integers
Consecutive Integers

Practice Test Questions on Integers I
Practice Test Questions on Integers II
Practice Test Questions on Even and Odd Integers
Practice Test Questions on Consecutive Integers

Arithmetic Word Problems

Arithmetic Word Problems I
Arithmetic Word Problems II

Number Lines

Practice Test Questions on Number Lines I
Practice Test Questions on Number Lines II

Squares and Square Roots

Squares and Square Roots
Practice Test Questions on Squares and Square Roots I
Practice Test Questions on Squares and Square Roots II

Fractions and Rational Numbers

Decimal Fractions Equivalents
Reciprocals
Place Value (Digit Problems)
Scientific Notations

Factors, Multiples, Prime Numbers and Remainders

Ratio Proportions and Percents

Ratios and Proportions I
Ratios and Proportions II

Percents I
Percents II

Sequences

Sequences I
Sequences II

Sets

Sets (Union, Intersection, Elements)
Venn Diagrams I
Venn Diagrams II
Venn Diagrams Word Problems
SAT Questions: Sets

Counting Problems

Fundamental Counting Principle
Permutations and Combinations

Logical Reasoning

Logical Reasoning

Algebra and Functions Review

Concepts that you need to know for the SAT

Operations on Algebraic Expressions

Adding and Subtracting Algebraic Expressions
Multiplying Algebraic Expressions

Factoring

Difference of Two Squares
Finding common Factors
Factoring Quadratics

Exponents

Rules of Exponents
Evaluating Expressions with Exponents and Roots I
Evaluating Expressions with Exponents and Roots II

Solving Equations

Solving Linear Equations I
Solving Linear Equations II
Working with “unsolvable” equations
Solving for one Variable in terms of another
Solving Equations involving Radical Expressions

Absolute Value

Solving Absolute Value Equations
SAT Questions - Absolute Value I
SAT Questions - Absolute Value II

Direct Translation into Mathematical Expressions

Inequalities

Solving Linear Inequalities
Solving Compound Inequalities
SAT Questions - Inequalities

Systems of Linear Equations and Inequalities

Solving Systems of Equations by Substitution
Solving Systems of Equations by Addition or Elimination
Solving Systems of Equations Graphically
SAT Questions - Systems of Linear Equations

Solving Quadratic Equations by Factoring

Rational Equations and Inequalities

Solving Rational Equations I
Solving Rational Equations II
SAT Questions - Solving Rational Equations

Direct and Inverse Variation

Direct Variation
Inverse Variation
SAT Questions -Direct and Inverse Variation

Word Problems

SAT Questions - Algebra Word Problems I
SAT Questions - Algebra Word Problems II
SAT Questions - Rate Problems

Functions

SAT Functions

Function Notation
Domain and Range of a Function
SAT Questions - Function Notation, Domain and Range

SAT Questions - Using New Definitions
SAT Questions - Functions as Models

Linear Functions: Their Equations and Graphs
Quadratic Functions: Their Equations and Graphs
SAT Questions - Functions and Graphs

Qualitative Behavior of Graphs and Functions
Translations and their Effects on Graphs and Functions
SAT Questions - Translation of Graphs

The SAT does not include:

Solving Quadratic Equations that require the use of the quadratic formula
Complex Numbers
Logarithms

Geometry and Measurement Review

Concepts that you need to know for the SAT

Geometric Notation
SAT Questions - Points and Lines

Angles in the Plane

Types of Angles
Vertical Angles
Supplementary Angles
Complementary Angles
Corresponding Angles
Co-Interior Angles
Alternate Interior Angles
SAT Questions - Angles in the Plane

Triangles (including special triangles)

Equilateral Triangles and Isosceles Triangles
Right Triangles and the Pythagorean Theorem
30-60-90 Triangles
45-45-90 Triangles
3-4-5 Triangles
Congruent Triangles - SSS and SAS
Congruent Trisngles - AAS and ASA
Similar Triangles
The Triangle Inequality

SAT Questions - Triangles I
SAT Questions - Triangles II
SAT Questions - Triangles III

Quadrilaterals

Parallelograms
Rectangles and Squares
Classify Quadrilaterals
Angles in Quadrilaterals

Areas and Perimeters

Areas of Squares and Rectangles
Perimeters of Squares and Rectangles
Area of Triangles
Area of Parallelograms

SAT Questions - Areas

Other Polygons

Angles in a Polygon
SAT Questions - Polygons

Circles

Diameter, Radius, Arc
Tangent to a Circle
Circumference
Area

SAT Questions - Circles I
SAT Questions - Circles II

Solid Geometry

Solid Figures and Volumes

Prisms
Cylinders
Spheres
Cones
Pyramids

SAT Questions - Volumes

Surface Area

Nets of 3-Dimensional Shapes
Surface Area of Cube

SAT Questions - Surface Area

Geometric Perception

Coordinate Geometry

Slopes
Parallel Lines
Perpendicular Lines
The Midpoint Formula
The Distance Formula

SAT Questions - Coordinate Geometry I
SAT Questions - Coordinate Geometry II
SAT Questions - Coordinate Geometry III

Transformations

Translations
Rotations
Reflections
Line of Symmetry
Point of Symmetry

The SAT does not include

Formal Geometric Proofs
Trigonometry
Radian Measure

Data Analysis, Statistics and Probability Review

Concepts that you need to know for the SAT

Data Interpretation

Circle Graphs (Pie Charts)
Line Graphs
Bar Graphs
Pictographs
Scatter Plots

SAT Questions - Data Analysis

Statistics

Arithmetic Mean
Median
Mode and Multiple Modes
Weighted Average
Average of Algebraic Expressions
Using Averages to find Missing Numbers

SAT Questions - Mean, Median, Mode

Elementary Probability

Independent Events
Dependent Events
Independent and Dependent Events

Geometric Probability

SAT Questions - Probability I
SAT Questions - Probability II

 

The SAT does not include

Computation of Standard Deviation

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