The TSI—otherwise known as the Texas Success Initiative—is meant to evaluate how prepared you are for the college learning environment before you sign up for your first course load. As it stands, this particular examination is required of every student preparing to start college in the state of Texas. There are a few points of exemption for this exam, however, especially for those who performed well on a national college readiness exam, such as the SAT or ACT. If you turn out to have to take this exam before you enroll in your first official college courses, don’t feel discouraged.

What Is Featured on the TSI Mathematics Section?

Algebra and Functions, Geometry and Measurement, and Intermediate Algebra and Functions

Math Basics

Operations Basics

• Integers, Decimals, and Fractions

• Addition and Subtraction

• Multiplication and Division

• Exponents and Roots

• Laws of Exponents

• Exponents and Roots

• Associative Property

• Distributive Property

• Order of Operations

Factors and Multiples

• Prime Numbers, Factoring, and Prime Factorization

• Multiples

• Greatest Common Factor

• Least Common Multiple

Unit Conversions

• Rates and Unit Rates

Fractions

Fraction Basics

• Improper Fractions and Mixed Numbers

• Fractions of a Whole

• Converting Improper Fractions to Mixed Numbers

• Changing Mixed Numbers to Improper Fractions

• Ordering Fractions

Fraction Operations

• Adding and Subtracting Fractions

• Multiplying and Dividing Fractions

• Converting Percentages to Decimals and Fractions

• Converting Mixed Numbers to Decimals and Improper Fractions

• Converting Improper Fractions to Mixed Numbers and Decimals

Decimals

Decimal Basics

• Decimals

• Ordering Decimals

Decimal Operations

• Adding and Subtracting Decimals

• Multiplying Decimals

• Dividing Decimals

• Converting Decimals to Fractions and Percentages

• Converting Decimals to Improper Fractions and Mixed Numbers

• Scientific Notation

• Changing a Number from Standard Form to Scientific Notation

Equations and Functions

Equation Basics

• Arithmetic Sequences

• Absolute Value

• Solving Equation using Addition and Subtraction

• Solving Equation Using Multiplication and Division

• Solving Equation with Absolute Value

• Solving an Equation Using Four Basic Operations

Inequalities

• Equations and Inequalities

• Linear Inequalities

• Solving Inequalities Using All four Basic Operations

• Graphing Solutions to Linear Inequalities

• Solving Absolute Value Inequalities

Linear System of Equations

• System of Equations Basics

• Linear Equations Basics

• Comparison of Methods for Solving System of Equations

Lesson 4: Graphing of Linear Equations and Functions

• Using a Graph

• Graphing Linear Equations

• Graphing the Inverse of a Function

• Graphing Absolute Value Equations

• Graphs of Functions

• Solutions of a Quadratic Equation on a Graph

• Changing Constants in Graphs of Functions: Linear Functions

• Changing Constants in Graphs of Functions: Quadratic Equations

Geometry

Lesson 1: Angle Basics

• Angles

• Geometric Symbols: Angles

Lesson 2: Triangles

• Area and Perimeter of a Triangle

• Proof that a Triangle is 180 Degrees

• Similar Triangles

• Pythagorean Theorem

• Measurements for Similar Triangles

• Measurements for Similar Triangles Continued

• Measurements for Similar Triangles Continued II

Lesson 3: Circles

• Area and Circumference of a Circle

• Unit Circles and Standard Position

• Finding Measurements for Parts of a Circle

Lesson 4: Volume and Surface Area of 3D Shapes

• 3D Geometric Shapes

• Volume and Surface Area of a Cube

• Volume and Surface Area of a Pyramid

• Volume and Surface Area of a Rectangular Solid

• Volume and Surface Area of a Right Circular Cone

• Volume and Surface Area of a Right Circular Cylinder

• Volume and Surface Area of a Sphere

Word Problems

• Word Problems and Subtraction

• Word Problems and Addition

• Word Problems and Multiplication

• Word Problems and Division

• Right Triangle Word Problem

• Linear Equation Word Problem

Probability, Statistics, Percentages, Ratios, and Proportions

Lesson 1: Probability & Statistics

• Theoretical and Experimental Probability

Lesson 2: Percentages, Ratios, and Proportions

• Percentages

• Ratios and Percentages

• Computation with Percentages

• Calculation of a Percentage

• Finding the Percentage Increase

• Finding the Percentage Decrease

• Proportions

• Proportions and Percents

• Proportions in the Real World