Math Review

For the new SAT, the mathematics content level of the test will be raised to include more advanced topics. The following math concepts will be covered beginning with the March 2005 test.

Number and Operation

• Arithmetic word problems (including percent, ratio, and proportion)
• Properties of integers (even, odd, prime numbers, divisibility, etc.)
• Rational numbers
• Logical reasoning
• Sets (union, intersection, elements)
• Counting techniques
• Sequences and series (including exponential growth)
• Elementary number theory

Algebra and Functions

• Substitution and simplifying algebraic expressions
• Properties of exponents
• Algebraic word problems
• Solutions of linear equations and inequalities
• Systems of equations and inequalities
• Quadratic equations
• Rational and radical equations
• Equations of lines
• Absolute value
• Direct and inverse variation
• Concepts of algebraic functions
• Newly defined symbols based on commonly used operations

Geometry and Measurement

• Area and perimeter of a polygon
• Area and circumference of a circle
• Volume of a box, cube, and cylinder
• Pythagorean Theorem and special properties of isosceles, equilateral, and right triangles
• Properties of parallel and perpendicular lines
• Coordinate geometry
• Geometric visualization
• Slope
• Similarity
• Transformations

Data Analysis, Statistics, and Probability

• Data interpretation
• Statistics (mean, median, and mode)
• Probability