# Printable High School Math Tests and Worksheets

Assess student understanding of algebra, geometry, statistics, and trigonometry concepts with these math worksheets for high school students.

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*High School Algebra Worksheets*

Use these high school algebra worksheets which cover Pre-Algebra, Algebra I, and Algebra II to gauge student comprehension of algebra topics including: linear and quadratic equations, inequalities, functions, exponents, radicals, and logarithms.

### Absolute Value

- Absolute Value Equations, M/C
- Absolute Value Equations
- Absolute Value Inequalities
- Absolute Value Inequalities - Practice #2

### Algebraic Expressions and Equations

- Rewriting Expressions
- Evaluating Algebraic Expressions - Practice #1
- Evaluating Algebraic Expressions - Practice #2
- Simplifying Algebraic Expressions - Practice #1
- Simplifying Algebraic Expressions - Practice #2
- Simplifying Algebraic Expressions in 1 Variable
- Simplifying Algebraic Expressions in 2 Variables
- Translating Between Words & Algebraic Expressions
- Algebraic Expressions - Word Problems
- Parts of Algebraic Equations
- Equations, Rearranging
- Equations, Rearranging (M/C)
- Literal Equations - Practice #1
- Literal Equations - Practice #2
- Literal Equations - Practice #3
- Interpreting Parts of an Expression

### Complex Numbers

- Understanding Complex Numbers
- Rewriting Expressions Using i
- Adding, Subtracting, Multiplying Complex Numbers
- Moduli of Complex Numbers
- Division of Complex Numbers
- The Complex Plane
- Rectangular and Polar Forms
- Operations in the Complex Plane
- Mult. and Powers in the Complex Plane
- Midpoints and Distance in the Complex Plane
- Polynomial Identities and Complex Numbers
- Fundamental Theorem of Algebra
- Complex Numbers
- Complex Conjugates
- Operations on Complex Numbers - Practice #1
- Operations on Complex Numbers - Practice #2
- The Imaginary Unit, i
- Powers of i

### Conic Sections

- Equations of Circles
- Equations of Circles - Practice #2
- Understanding Conic Sections
- Parabolas - Focus and Directrix
- Derivation of the Equation of a Parabola
- Derivation of the Equation of a Circle
- Derivation of the Equation of a Hyperbola
- Derivation of the Equation of an Ellipse

### Direct and Inverse Variation

### Exponents, Logarithms, and Radicals

- Radicals and Rational Exponents
- Radicals and Rational Exponents (M/C)
- Solving Radical Equations
- Exponential Growth
- Exponent Rules - Distribution & Powers of Powers
- Exponent Rules - Product Rule
- Exponent Rules - Quotient Rule
- Exponent Expressions with Negative Exponents
- Simplifying Exponent Expressions
- Simplifying Exponent Expressions - Practice #2
- Simplifying Exponent Expressions - Practice #3
- Solving Exponential Equations
- Solving Exponential Equations, #2
- Solving Exponential Equations, Word Problems
- Rewriting Exponential Expressions
- Exponential Functions and Percent Rate of Change
- Converting Between Logs and Exponents
- Identify Constant Percentage Change
- Interpreting Parameters of Exponential Functions
- Constructing Exponential Functions
- Solving Exponential Equations Without Logs
- Logarithms
- Laws of Logarithms
- Logarithmic Expressions
- Logarithmic Equations - Practice #1
- Logarithmic Equations - Practice #2
- Natural Logarithms

### Functions and Relations

- Function Identification
- Function Notation
- Function Evaluation
- Function Evaluation, #2
*New!* - Function Evaluation, #3
*New!* - Composite Functions
- Composite Functions: Domain
- Decomposing Functions
- Understanding the Intersection of Functions
- Functions: Graphs, Tables, & Equations
- Domain and Range
- Domain and Range - Practice #2
- Domain and Range - Graphs and Word Problems
- Interpreting Functions in Terms of Context
- Sequences as Functions
- Average Rate of Change
- Average Rate of Change, #2
*New!* - Average Rate of Change, #3
*New!* - Identifying Key Features of Functions
- Comparing Different Function Representations
- Comparing Different Function Representations, #2
- Sequences as Recursive Functions
- Writing Linear Functions
- Writing Function Rules from Tables
- Even and Odd Functions
- Linear and Exponential Growth
- Choosing the Best Function for a Math Model
- Comparing Growth of Different Types of Functions
- Understanding Functions
- Inverse Functions
- Inverse Functions, #2
- Verifying Inverse Functions by Composition
- Finding Inverse Function Values from Tables
- Finding Inverse Function Values from Graphs
- Inverse Functions and Domain Restrictions
- Function Transformations
- Function Transformations II
- Understanding Composite Functions
- Operations on Functions
- Operations on Functions, #2
- Operations on Functions: Domain
- Operations on Functions: Word Problems
- Inequality, Interval, & Set-Builder Notation
*New!*

### Graphing

- Graphing Word Problems
- Constructing Graphs
- Graphing Square Root and Cube Root Functions
- Graphing Piecewise and Absolute Value Functions
- Graphing Polynomial Functions
- Graphing Rational Functions
- Graphing Exponential and Logarithmic Functions
- Graphing Linear Functions
- Graphing Quadratic Functions

### Linear Equations

- Identify Constant Rate of Change
- Verifying Solutions to Equations
- Constructing Linear Functions
- Interpreting Parameters of Linear Functions
- Finding Slope and Intercepts
- Finding Slope and Intercepts - Practice #2
- Graphing Linear Equations - Practice #1
- Graphing Linear Equations - Practice #2
- Identifying Parallel and Perpendicular Lines
- Identifying Parallel and Perpendicular Lines - #2
- Equations of Parallel & Perpendicular Lines
- Equations of Parallel & Perpendicular Lines, #2
*New!* - Finding Slope from Two Points
- Finding Slope from Two Points - Practice #2
- Finding Linear Equations from Two Points
- Finding Linear Equations from Two Points #2
- Finding Linear Equations from Slope & a Point
- Finding Linear Equations from Slope & a Point #2
- Slope
- Rewriting Linear Equations
- Translating Word Problems into Equations

### Solving Linear Equations and Inequalities

- Understanding How to Solve Simple Equations
- Linear Equations with One Variable
- Solving One-Step Equations
- Solving Linear One-Step Equations, M/C
- Solving Linear Two-Step Equations
- Solving Linear Two-Step Equations, M/C
- Solving Linear Equations - Variable on Both Sides
- Solving Linear Equations-Variable on Both Sides, MC
- Linear Equations, Variable on Both Sides (M/C)
- Solving Linear Equations
- Solving Linear Equations - Practice #2
- Solving Linear Equations - Practice #3
- Solving Linear Equations Involving Fractions
- Linear Equation Word Problems
- Linear Equation Word Problems, M/C
- Verifying Solutions to Inequalities
- One-Step Linear Inequalities
- Solving Linear Inequalities - Practice #1
- Solving Linear Inequalities - Practice #2
- Inequalities

### Matrices

- Using Matrices to Represent and Manipulate Data
- Multiplication by a Scalar
- Adding and Subtracting Matrices
- Multiplying Matrices
- Properties of Matrix Multiplication
- The Zero and Identity Matrices
- Determinants and the Inverse of a Matrix
- Transforming Vectors with Matrices
- Matrices and Transforming Geometric Shapes
- Matrix Operations - Practice #1
- Matrix Operations - Practice #2
- Matrix Operations - Practice #3
- Understanding Matrices
- Using Matrices for Systems of Linear Equations
- Determinants

### Nonlinear Equations and Inequalities

- Radical and Rational Equations
- Solving Rational Equations - Practice #1
- Solving Rational Equations - Practice #2
- Quadratic Inequalities
*New!*

### Polynomials and Rational Expressions

- Polynomials, Adding and Subtracting
- Polynomials, Adding and Subtracting (M/C)
- Polynomials, Adding and Subtracting - Practice #2
- Adding Polynomials
- Subtracting Polynomials
- Multiplying by Monomials
- Multiplying by Binomials
- Polynomials, Multiplying
- Modeling Polynomials with Algebra Tiles
- Adding and Subtracting Rational Expressions
- Remainder Theorem
- Polynomial Identities
- Binomial Theorem
- Polynomials, Factoring
- Higher Degree Polynomials and GCF
- Polynomials
- Degree and Classification of Polynomials
- Degree and Classification of Polynomials, #2
*New!* - Simplifying Monomial Expressions
- Simplifying Polynomials
- Simplifying Rational Expressions
- Synthetic Division of Polynomials
- Polynomial Long Division
- Understanding Polynomial Long Division

### Quadratic Expressions and Equations

- Quadratic Roots
- Completing the Square
- Graphs of Quadratic Equations
- Quadratic Expressions and Equations Review #1
- Quadratic Expressions and Equations Review #2
- Solving Quadratic Equations - Practice #1
- Solving Quadratic Equations - Practice #2
- Quadratic Equations with Complex Solutions
- Finding Zeros by Factoring
- Applications of Quadratic Functions
- Quadratic Equations
- Quadratic Equations II
- Quadratic Equations - Word Problems
- Factoring
- Factoring - Practice #2
- Factoring - Practice #3
- Factoring - Practice #4
*New!* - Factoring- Special Products
- Factoring- Special Products II
- Factoring (Non-1 Leading Coefficient)
- Factoring (Non-1 Leading Coefficient), #2
*New!* - Quadratic Roots - Practice #2
- Completing the Square - Practice #2

### Sequences and Series

- Finite Geometric Series
- Finite Geometric Series: Derivation and Problems
- Translating Between Forms of Arithmetic Sequences
- Translating Between Forms of Geometric Sequences
- Sequences: Word Problems
- Understanding Arithmetic & Geometric Sequences
- Arithmetic Series
- Geometric Sequences
- Arithmetic Sequences - Practice #1
- Arithmetic Sequences - Practice #2

### Systems of Equations

- Equations, Intersections
- Understanding The Elimination Method
- Systems of Linear Equations (M/C)
- Systems of Linear Equations - Practice #2
- Systems of Linear Equations - Practice #3
*New!* - Systems of Linear Equations: Substitution
*New!* - Systems of Linear Equations (Word Problems)
- Systems of Equations - Word Problems #2
- Systems of Equations - Word Problems #3
- Solving Systems of Linear Equations by Graphing
- Nonlinear Systems of Equations
- Systems of Linear Equations (M/C & T/F)
- Linear Systems of Equations in Two Variables
- Systems of Linear Equations in Three Variables

### Vectors

- Understanding Vectors
- Dot Product and Angle Between Two Vectors
- Vectors - Word Problems
- Vector Basics
- Finding Vector Components
- Vector Addition
- Vector Addition and the Parallelogram Rule
- Vector Addition Given Magnitude and Direction
- Vector Subtraction
- Scalar Multiplication
- Scalar Multiplication, Magnitude, & Direction
- Operations on Vectors

### Algebra Review Worksheets

*High School Geometry Worksheets*

Investigate lines, angles, circles, triangles, polygons, perimeter, volume, and the coordinate plane, among other topics with these geometry worksheets.

### Circles

- Circle Terminology
- Chords, Secants, Tangents, and Arcs - Practice #1
- Chords, Secants, Tangents, and Arcs - Practice #2
- All Circles are Similar
- Formula for the Circumference of a Circle
- Diameter and Circumference
- Estimation of Pi

### Coordinate Geometry

- Area and Perimeter of Polygons
- Calculating the Midpoint of Line Segments
- Identifying Points' Coordinates and Quadrants
- Finding Areas of Triangles Given Their Vertices
*New!* - Using Coordinates - Classify & Complete Polygons
- Calculating the Distance Between Two Points
- Calculating Centers of Triangles
*New!*

### Density

- Understanding Density
*New!* - Density and Area - Word Problems
*New!* - Density and Volume - Word Problems
*New!*

### Logic and Proofs

- Proofs Involving Triangles
- Proofs Involving Triangles, #2
- Proofs Involving Geometric Figures
- Proofs Involving Circles
- Parallelogram Related Proofs
- Parallelogram - Congruent Diagonals is Rectangle
- Proof of Pythagorean Theorem w/ Similar Triangles
- Understanding Conditional Statements
- Conditional Statements
- Conditional Statements (Symbolic)
- Conjectures and Counterexamples
- Laws of Detachment and Syllogism
*New!*

### Points, Lines, Planes, and Angles

- Parallel Lines Cut by a Transversal
- Proofs With Lines and Angles
- Proving Alternate Interior Angles are Congruent
- Points, Lines, and Planes – Definitions
- Parallel and Perpendicular Lines and Planes
- Parallel and Perpendicular Lines
- Lines, Rays, & Segments - Notation

### Solid Geometry

- Volume of Cones
- Volume of Cylinders
- Volume of Pyramids
- Volume of Spheres
- 3D Shapes - Word Problems
*New!* - 3D Shapes - Word Problems, #2
*New!* - Optimal Shape of a Soft Drink Can
*New!* - Constraints and Optimization
*New!* - Constraints and Optimization, #2
*New!* - Volumes of Solid Figures

### Transformations

- Understanding Transformations
- Transformations - Practice #1
- Transformations - Practice #2
- Transformations - Practice #3
- Similarity Transformations
- Triangle Congruence Through Rigid Motions
- SSS, SAS, and ASA and Rigid Transformations
- Similar Triangles and Transformations
- Dilating Points
- Dilating Figures
- Dilating Lines
- Dilation and Length

### Triangles and Other Polygons

- Similar Triangles
*New!* - AA Similarity Theorem and Transformations
*New!* - Similar Triangles and AA
*New!* - Applying Similar and Congruent Triangles
*New!* - Similar and Congruent Triangles- Word Problems
*New!* - Applying the Pythagorean Theorem
*New!* - Pythagorean Theorem - Word Problems
*New!* - Applications with Geometric Shapes
*New!* - Regular Tessellations
*New!* - Angles of Polygons
- Types of Triangles
- Triangles - Sides, Angles, and Areas
- Triangle Inequality Theorem
- Special Right Triangles
- Pythagorean Theorem
- Triangles - Midpoints and Centers
- Congruent Triangles
- Understanding Similar and Congruent Triangles
- Deriving Heron's Formula
*New!* - Applying Heron's Formula
*New!* - Properties of Quadrilaterals
*New!* - Quadrilateral Classification
*New!*

### Geometry Review Worksheets

*High School Statistics Worksheets*

The ability to estimate, interpret, and manipulate data is an essential skill. Strengthen student understanding of probability and statistics concepts with these worksheets.

### Combinations and Permutations

### Measures Central Tendency and Dispersion

### Plots and Graphs

- Understanding Box Plots
*New!* - Understanding Dot Plots
*New!* - Understanding Histograms
*New!* - Histograms, Dot Plots, and Box Plots
*New!*

### Probability

- Probability of Independent Events
- Probability of Dependent Events
- Understanding Conditions for Independent Events
- Conditional Probability
- Unions and Intersections
- Sample Spaces and Subsets
- Two-Way Frequency Tables
- Conditional Probability as Fraction of Outcomes
- Addition Rule
- Multiplication Rule

*High School Trigonometry Worksheets*

Explore topics such as trigonometric ratios and functions, Sine and Cosine Law, trigonometric identities, the unit circle, and radians and degrees with these worksheets.

### Non-Right Triangles and Trigonometry

- Law of Sines - Ambiguous Case
- Applying the Laws of Sines and Cosines
- Laws of Sines and Cosines - Word Problems
- Proving the Law of Cosines
- Proving the Law of Cosines, #2
- Proving the Law of Sines
- Proving the Law of Sines, #2
- Proving the Laws of Sines & Cosines
- Deriving the Sine Formula for Area of Triangles
- Using the Sine Formula for Area of Triangles
- Law of Sines
- Law of Sines - Practice #2
- Law of Cosines
- Law of Cosines - Practice #2

### The Four Quadrants

- Coterminal and Reference Angles - Practice #1
- Coterminal and Reference Angles - Practice #2
- Trigonometric Functions and the Four Quadrants

### Trigonometric Equations

- Solving Trigonometric Equations
- Solving Trigonometric Equations, #2
- Solving Trig Equations - Word Problems

### Trigonometric Identities

- Proving the Pythagorean Identity
- Applying the Pythagorean Identity
- Proofs of Cosine Addition & Subtraction Formulas
- Proofs of Sine Addition & Subtraction Formulas
- Proofs of Tangent Addition & Subtraction Formulas
- Applying the Addition & Subtraction Formulas
- Proving the Double-Angle Formulas
- Applying Trigonometric Identities - Practice #1
- Applying Trigonometric Identities - Practice #2

### Trigonometric Functions

- Periodic Trigonometric Functions
- Evaluating Trig Functions
- Graphing Trigonometric Functions
- Symmetry of Trig Functions
- Periodicity of Trig Functions
- Amplitude, Period, Midline
- Applications of Trig Functions
- Trig Functions & Domain Restrictions
- Properties of Trig Functions (sec, csc, cot)
- Properties of Trig Functions (sin, cos, tan)

### Trigonometric Ratios and Right Triangles

- Special Relationships Between Sine and Cosine
- Special Relationships Between Sine and Cosine, #2
- Trig Ratios and Special Triangles
- Understanding Trig Ratios in Right Triangles
- Right Triangles and Trig Ratios
- Sine and Cosine of Complementary Angles
- Trigonometry Calculator Practice (sin, cos, tan)
- Trigonometric Ratios and Their Inverses
- Sine, Cosine, and Tangent - Word Problems
- Sine, Cosine, and Tangent - Word Problems, #2
- Right Triangles - Solving for Sides and Angles
- Right Triangles - Solving for Sides and Angles, #2

### Unit Circle, Radians, and Degrees

- Radians and Arc Length
- Radians and Arc Length (M/C & T/F)
- Understanding Radians
- Trig Functions and the Unit Circle
- Converting Between Degree and Radian Measure

### Trigonometry Review Worksheets

*High School Calculus Worksheets*

These worksheets give students a chance to practice calculus topics, including limits, differentiation, tangent lines, and integration.

### Derivatives

- Derivatives Involving Trigonometric Functions
- Power Rule
- Power Rule, #2
*New!* - Chain Rule
- Quotient Rule
- Product Rule
- Intervals of Increase and Decrease

### Limits

- Limits Approaching a Constant
- Limits Involving Trigonometric Functions
- Continuity of Functions
- Limits To Infinity