SAT Math

SAT Math

1. Heart of Algebra
Linear Equations in One Variable
 • Solving for a variable
 • Multi-step equations
 • Rational coefficients
Linear Inequalities in One Variable
 • Solving inequalities
 • Interpreting solutions on a number line
Linear Equations in Two Variables
 • Slope-intercept form
 • Standard form
 • Graphing lines
 • Identifying slope and y-intercept
Systems of Linear Equations
 • Solving systems algebraically
 • Solving systems by graphing
 • Word problems with systems
Systems of Linear Inequalities
 • Graphing systems
 • Identifying solutions in overlapping regions
Interpreting Linear Functions
 • Understanding graphs
 • Word problems (rate, initial value)
 • Comparing two linear models

2. Problem Solving and Data Analysis
Ratios and Proportional Relationships
 • Ratio problems
 • Proportional relationships

 • Scale conversions
Percents
 • Percent increase/decrease
 • Percent of a quantity
 • Markup/markdown
 • Percent error
Units and Unit Conversion
 • Rates (e.g., miles per hour)
 • Complex unit conversions
Analyzing Tables and Graphs
 • Bar graphs, line graphs, scatterplots
 • Identifying trends and relationships
Descriptive Statistics
 • Mean, median, mode
 • Range, interquartile range
 • Outliers and impact on mean
Probability and Counting
 • Simple probability
 • Compound events
 • Basic combinatorics (not heavily tested)
Data Inferences
 • Drawing conclusions from data
 • Understanding surveys and samples
 • Margin of error

3. Passport to Advanced Math
Quadratic Equations
 • Solving by factoring
 • Completing the square
 • Quadratic formula
 • Using the discriminant
Interpreting Quadratic Graphs
 • Vertex and axis of symmetry
 • Maximum/minimum

 • Transformations
Polynomial Expressions
 • Adding, subtracting, multiplying
 • Factoring
Rational Expressions
 • Simplifying
 • Domain restrictions
Radical Equations
 • Solving square root equations
 • Extraneous solutions
Exponential Functions
 • Interpreting exponential models
 • Growth and decay
 • Compound interest
Functions and Their Graphs
 • Function notation
 • Interpreting transformations
 • Evaluating functions
Equations with Variables on Both Sides
 • Rearranging formulas
 • Word problems with multiple variables

4. Additional Topics in Math
Geometry – Circles
 • Area and circumference
 • Arc length
 • Sector area
 • Central angles
 • Equations of a circle
Geometry – Triangles
 • Pythagorean Theorem
 • Isosceles and equilateral properties
 • Triangle inequality
 • Special right triangles (30-60-90 and 45-45-90)

Geometry – Volume and Area
 • Rectangular solids
 • Cylinders, cones, spheres (basic)
 • Surface area and volume formulas
Trigonometry
 • SOHCAHTOA basics
 • Trig ratios in right triangles
 • Sine and cosine of complementary angles
Complex Numbers
 • Imaginary unit i
 • Adding, subtracting, multiplying complex numbers
Coordinate Geometry
 • Distance formula
 • Midpoint formula
 • Slope between two points
 • Graph transformations

Optional Skills (Sometimes Tested)
Logical Reasoning
 • "If-then" statements
 • Counter examples
Function Composition
 • f(g(x))
Piecewise Functions
 • Evaluating and graphing