TSI Math Worksheets: Free Printable Practice

Sharpen the basics the TSI leans on: comparing and ordering integers, absolute value, operating with signed numbers, order of operations, and factors and multiples.

• Comparing and Ordering Integers
• Integers and Absolute Value
• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Order of Operations
• Factors, Multiples, GCF, and LCM

Practice every operation with fractions, mixed numbers, and decimals, plus converting between fractions, decimals, and percents and solving real-world rational-number problems.

• Fractions Decimals and Rational Numbers
• Adding and Subtracting Fractions
• Multiplying Mixed Numbers
• Multiplying and Dividing Fractions
• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
• Converting Fractions Decimals and Percents
• Real World Problems with Rational Numbers

Work with ratios, unit rates, proportional relationships, the constant of proportionality, scale drawings, and unit conversions.

• Simplifying Ratios
• Unit Rates
• Proportional Ratios
• Constant of Proportionality
• Scale Drawings and Scale Factors
• Converting Units of Measurement

Build confidence with percent problems, finding the whole from a part, percent change, discounts and tax, simple and compound interest, and commissions.

• Percent Problems
• Finding the Whole from a Part and Percent
• Percent of Increase and Decrease
• Discount, Tax, and Tip
• Simple Interest
• Compound Interest
• Tips, Commissions, and Fees

Review exponent rules, zero and negative exponents, radicals, rational and irrational numbers, and scientific notation.

• Multiplication Property of Exponents
• Division Property of Exponents
• Zero and Negative Exponents
• Negative Exponents and Negative Bases
• Radicals
• Rational and Irrational Numbers
• Scientific Notation
• Operations with Scientific Notation

Get comfortable evaluating expressions, simplifying variable expressions, and applying the distributive property.

• When an Expression Is Undefined
• Evaluating One Variable
• Evaluating Two Variables
• Simplifying Variable Expressions
• The Distributive Property

Move from one-step equations through multi-step equations, variables on both sides, and literal equations and formulas.

• Introduction to Equations and Solutions
• One Step Equations
• Solving Two Step Equations
• Multi Step Equations
• Equations with Variables on Both Sides
• Literal Equations and Formulas

Solve and graph one-step, multi-step, compound, single-variable, and linear inequalities.

• One Step Inequalities
• Multi Step Inequalities
• Compound Inequalities
• Graphing Single Variable Inequalities
• Graphing Linear Inequalities

Plot points, find slope, graph lines, write linear equations, and use midpoint and distance on the coordinate plane.

• The Coordinate Plane
• Finding Slope
• Graphing Lines
• Point Slope Form
• Standard Form of a Linear Equation
• Writing Linear Equations
• Parallel and Perpendicular Lines
• Systems of Equations
• Finding Midpoint
• Finding Distance of Two Points

Understand relations and functions, function notation, domain and range, and how to compare and interpret graphs of functions.

• Relations and Functions
• Function Notation
• Domain and Range
• Linear vs Nonlinear Functions
• Comparing Functions
• Interpreting Graphs of Functions

Add, subtract, and multiply polynomials, factor, and solve and graph quadratic equations and expressions.

• Adding and Subtracting Polynomials
• Simplifying Polynomials
• Multiplying Binomials
• Special Products of Polynomials
• Factoring with the Greatest Common Factor
• Factoring Trinomials
• Solving Quadratic Equations by Factoring
• The Quadratic Formula
• Graphing Quadratic Functions
• Rational Expressions

Practice angles, triangles, the Pythagorean theorem, area and perimeter, circles, and the surface area and volume of solids.

• Complementary and Supplementary Angles
• Parallel Lines and Transversals
• Triangles
• Area of Triangles
• Similarity and Ratios
• The Pythagorean Theorem
• Area and Perimeter of Quadrilaterals
• Polygons
• Circles
• Area and Perimeter of Composite Figures
• Rectangular Prisms
• Cubes
• Cylinder
• Surface Area of Solids
• Volume and Surface Area of Composite Solids

Finish the core skills with mean, median, mode, and range, data displays, box plots, scatter plots, two-way tables, and probability.

• Mean, Median, Mode, and Range
• Weighted Averages and Missing Data Values
• Box Plots and Interquartile Range
• Histograms and Data Displays
• Pie Graph
• Scatter Plots and Lines of Best Fit
• Two Way Frequency Tables
• Probability Problems
• Probability of Compound Events
• Permutations and Combinations

Stretch into higher-level algebra the TSI can include: absolute-value equations and inequalities, systems of equations and inequalities, applications, and linear-quadratic systems.

• Absolute Value Equations and Inequalities
• Applications of Systems of Equations
• Direct and Inverse Variation
• Personal Financial Literacy
• Solving Linear Quadratic Systems
• Systems of Linear Inequalities
• Understanding Graphs as Solution Sets

Go deeper with sequences, function transformations and combinations, the full range of quadratic and exponential methods, and extra data-analysis skills.

• Arithmetic Sequences as Linear Functions
• Characteristics of Quadratic Functions
• Combining Functions
• Comparing Linear Quadratic and Exponential Models
• Exponential Growth and Decay
• Factoring Special Products
• Factoring Trinomials: ax² + bx + c
• Factoring Trinomials: x² + bx + c
• Geometric Sequences
• Graphing Exponential Functions
• Graphing Functions and Transformations
• Graphing Square Root Cube Root and Piecewise Functions
• Interpreting Functions and Parameters
• Inverse Functions
• Lines of Best Fit and Predictions
• Measures of Center and Spread
• Probability and Counting Principles
• Quadratic Applications and Modeling
• Solving Quadratics by Completing the Square
• Solving Quadratics by Square Roots