# 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*

Use these Pre-Algebra, Algebra I, and Algebra II tests 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

### Complex Numbers

- Understanding Complex Numbers
- 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
*New!* - Derivation of the Equation of a Circle
*New!* - Derivation of the Equation of a Hyperbola
*New!* - Derivation of the Equation of an Ellipse
*New!*

### Direct and Inverse Variation

### Exponents, Logarithms, and Radicals

- Radicals and Rational Exponents
- Radicals and Rational Exponents (M/C)
- 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 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
- Composite Functions
- Understanding the Intersection of Functions
*new!* - Understanding Functions
- Inverse Functions
- Function Transformations
- Function Transformations II
- Understanding Composite Functions
- Operations on Functions

### Graphing

### Linear Equations

- Identify Constant Rate of Change
- Slope
- Rewriting Linear Equations
- 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
- Finding Slope from Two Points
- Finding Slope from Two Points - Practice #2
- Translating Word Problems into Equations
- Verifying Solutions to Equations
- 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

### Solving Linear Equations and Inequalities

- Understanding How to Solve Simple Equations
*new!* - 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

- 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

### 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
- Higher Degree Polynomials and GCF
- Polynomials
- Degrees and Classification of Polynomials
- 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
- Polynomials, Factoring
- 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
- Quadratic Equations
- Quadratic Equations II
- Quadratic Equations - Word Problems
- Factoring
- Factoring - Practice #2
- Factoring - Practice #3
- Factoring- Special Products
- Factoring- Special Products II
- Factoring (Non-1 Leading Coefficient)
- Quadratic Roots - Practice #2
- Completing the Square - Practice #2

### Sequences and Series

- Finite Geometric Series
- 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 (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
- Operations on Vectors

### Algebra Review

*High School Geometry*

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
*new!* - Formula for the Circumference of a Circle
*new!* - Diameter and Circumference
- Estimation of Pi

### Coordinate Geometry

- Area and Perimeter of Polygons
- Calculating the Midpoint of Line Segments
- Identifying Points' Coordinates and Quadrants
- Using Coordinates - Classify & Complete Polygons
- Calculating the Distance Between Two Points

### Logic and Proofs

- Proofs Involving Triangles
- Proofs Involving Circles
- Parallelogram Related Proofs
*new!* - Parallelogram - Congruent Diagonals is Rectangle
*new!* - Understanding Conditional Statements
- Conditional Statements
- Conditional Statements (Symbolic)
- Conjectures and Counterexamples

### Points, Lines, Planes, and Angles

- Parallel Lines Cut by a Transversal
- Proofs With Lines and Angles
*new!* - Proving Alternate Interior Angles are Congruent
*new!* - Points, Lines, and Planes – Definitions
- Parallel and Perpendicular Lines and Planes
- Parallel and Perpendicular Lines

### Solid Geometry

### Transformations

- Transformations - Practice #1
- Transformations - Practice #2
- Transformations - Practice #3
- Understanding Transformations
*new!* - Triangle Congruence Through Rigid Motions
*new!* - SSS, SAS, and ASA and Rigid Transformations
*new!*

### Triangles and Other Polygons

- 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

### Geometry Review

*High School Statistics*

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

### Probability

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

*High School Trigonometry*

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

### Law of Sines and Cosines

### The Four Quadrants

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

### Trigonometric Identities

### Trigonometric Functions

- Periodic Trigonometric Functions
- Evaluating Trig Functions
- 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
- Trigonometry Calculator Practice (sin, cos, tan)
- Trigonometric Ratios and Their Inverses
- Sine, Cosine, and Tangent- Word Problems
- Right Triangles - Solving for Sides and Angles

### Unit Circle, Radians, and Degrees

- Radians and Arc Length
- Radians and Arc Length (M/C & T/F)
- Converting Between Degree and Radian Measure

### Trigonometry Review

*Calculus*

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

### Derivatives

- Derivatives Involving Trigonometric Functions
- Power Rule
- 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

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