Math Test Prep

SAT

The SAT (Scholastic Assessment Test) is a standardized test widely used for college admissions in the United States. The primary purpose of the SAT is to assess a high school student's readiness for college and to provide colleges with a common data point that can be used to compare all applicants.

Heart of Algebra: 

• Linear equations and inequalities
• Systems of linear equations
• Problem-solving and data analysis
• Understanding and manipulating algebraic expressions

Problem Solving and Data Analysis: 

• Ratios, percentages, and proportional reasoning
• Interpretation and synthesis of data from charts, graphs, and tables
• Basic probability and statistics

Passport to Advanced Math:

• Quadratic equations and functions
• Polynomial manipulation
• Exponential growth and decay
• Rational expressions and equations 

TSI

The TSI (Texas Success Initiative) Assessment is a standardized test used by colleges in Texas to determine a student's readiness for college-level coursework in reading, writing, and mathematics. The purpose of the TSI is to assess whether students have the academic skills necessary to succeed in college courses and to identify areas where they may need additional support before enrolling in college-level classes. 

Elementary Algebra and Functions:

• Operations with integers and rational numbers
• Simplifying algebraic expressions
• Solving linear equations and inequalities
• Working with quadratic equations and functions

Intermediate Algebra and Functions: 

• Systems of linear equations and inequalities
• Polynomial, rational, and radical expressions
• Exponents and logarithms
• Properties of functions, including evaluating, graphing, and solving them

Geometry and Measurement:

• Perimeter, area, and volume calculations
• Properties and relations of geometric figures
• Coordinate geometry and graphing 

Data Analysis, Statistics, and Probability:

•  Interpretation of data from tables, charts, and graphs
• Measures of central tendency (mean, median, mode)
• Probability and statistical concepts

ACT

The ACT (American College Testing) is a standardized test used for college admissions in the United States. The primary purpose of the ACT is to assess a high school student's academic readiness for college. The test covers four main areas: English, mathematics, reading, and science reasoning, with an optional writing section. The ACT provides colleges with a common measure to evaluate and compare applicants' academic abilities. 

Pre-Algebra:

• Basic operations with whole numbers, fractions, decimals, and integers
• Ratios, proportions, and percentages
• Simple probability and statistics
• Introduction to algebraic expressions

Elementary Algebra:

• Solving simple linear equations and inequalities
• Understanding algebraic expressions and their operations
• Systems of linear equations
• Introduction to quadratic equations 

Intermediate Algebra: 

• More complex equations, including quadratic and exponential equations
• Manipulating polynomial expressions
• Rational and radical expressions
• Functions and their properties 

Coordinate Geometry: 

• Plotting points and interpreting graphs in the coordinate plane
• Slope, distance, and midpoint formulas
• Graphing linear equations and inequalities
• Understanding conic sections

Plane Geometry:

• Properties and relationships of geometric figures, including triangles, circles, and polygons
• Perimeter, area, and volume calculations
• Theorems related to angles, parallel lines, and circles

Trigonometry:

• Basic trigonometric functions (sine, cosine, tangent)
• Relationships between trigonometric functions and right triangles
• Graphing trigonometric functions
• Trigonometric identities and equations

GRE 

The GRE (Graduate Record Examination) is a standardized test widely used for admission to graduate and business school programs around the world. The purpose of the GRE is to assess a candidate's readiness for graduate-level academic work by measuring their skills in verbal reasoning, quantitative reasoning, and analytical writing. It is designed to provide a common measure for comparing the qualifications of applicants, regardless of their educational background. 

Arithmetic:

• Properties and operations with integers, fractions, and decimals
• Ratios, proportions, and percentages
• Exponents, roots, and absolute value
• Concepts of divisibility and prime numbers

Algebra:

• Operations with algebraic expressions, including simplification and factoring
• Solving linear equations and inequalities
• Quadratic equations and inequalities
• Understanding and manipulating functions, including linear, quadratic, exponential, and absolute value functions

Geometry: 

• Properties and relationships of geometric figures such as lines, angles, triangles, quadrilaterals, and circles
• Perimeter, area, and volume calculations
• Concepts of congruence and similarity
• Coordinate geometry, including the distance formula and equations of lines 

Data Analysis:

• Interpretation and analysis of data from tables, charts, and graphs
• Descriptive statistics, including measures of central tendency (mean, median, mode) and measures of variability (range, standard deviation)
• Probability concepts, including basic probability rules and counting methods
• Understanding of discrete and continuous distributions 

GMAT

The GMAT (Graduate Management Admission Test) is a standardized test specifically designed for admission to business schools, particularly for MBA (Master of Business Administration) programs. The primary purpose of the GMAT is to assess a candidate's analytical, writing, quantitative, verbal, and reading skills in written English. It is used by business schools to evaluate the qualifications of applicants for advanced study in business and management. 

Arithmetic: 

• Basic arithmetic operations with integers, fractions, decimals, and percentages
• Ratios, proportions, and averages
• Properties of numbers, including prime numbers, factors, multiples, and divisibility
• Powers, roots, and absolute value 

Algebra:

• Manipulating algebraic expressions, including expansion, factorization, and simplification
• Solving linear and quadratic equations and inequalities
• Understanding and manipulating functions, including linear and quadratic functions
• Solving systems of linear equations 

Geometry: 

• Properties and relationships of geometric figures such as lines, angles, triangles, quadrilaterals, and circles
• Perimeter, area, and volume calculations for various shapes
• Coordinate geometry, including the equation of a line, slope, and distance between points

Data Analysis: 

• Interpretation of data from tables, charts, and graphs
• Descriptive statistics, including mean, median, mode, and range
• Basic probability concepts, including combinations and permutations
• Understanding and analyzing sets, sequences, and inequalities

PAEP

El PAEP (Prueba de Admisión a Estudios de Posgrado) es un examen estandarizado utilizado principalmente en países de América Latina para la admisión a programas de posgrado. El examen está diseñado para evaluar las habilidades académicas y la preparación de los candidatos para estudios avanzados en diversas áreas. El propósito del PAEP es medir la capacidad del candidato en áreas como razonamiento verbal, razonamiento cuantitativo, escritura analítica y conocimientos específicos según los requisitos del programa.

Aritmética:

• Operaciones básicas con números enteros, fracciones, decimales y porcentajes
• Comprensión de razones, proporciones y promedios
• Conceptos de exponentes, raíces y valores absolutos

Álgebra:

• Simplificación y manipulación de expresiones algebraicas
• Resolución de ecuaciones e inecuaciones lineales y cuadráticas
• Comprensión de funciones, incluidas funciones lineales, cuadráticas y exponenciales
• Sistemas de ecuaciones lineales 

Geometría: 

• Propiedades y relaciones de figuras geométricas como triángulos, cuadriláteros, círculos y polígonos
• Cálculos de perímetro, área y volumen
• Geometría analítica, incluidas fórmulas de distancia y punto medio, y ecuaciones de rectas 

Análisis de Datos y Probabilidad:

• Interpretación de datos en tablas, gráficos y diagramas
• Estadística descriptiva, incluidos media, mediana, moda y desviación estándar
• Conceptos básicos de probabilidad, incluidas permutaciones y combinaciones

Conceptos Matemáticos Avanzados (dependiendo del programa): 

• Esto puede incluir temas avanzados como cálculo, álgebra lineal o estadística, dependiendo de los requisitos específicos del programa de posgrado.