Flashcards

Review calculus concepts with our flashcard system!

Function Fundamentals

Function Transformations

16 cards

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Composite and Inverse Functions

16 cards

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Piecewise Functions

12 cards

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Average and Instantaneous Rates of Change

16 cards

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Systems of Equations

16 cards

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Arithmetic and Geometric Sequences

20 cards

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Circles and Parabolas

16 cards

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Ellipses and Hyperbolas

20 cards

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Place Value and Number Sense

Place Value to Millions

6 cards

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Comparing and Ordering Numbers

6 cards

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Rounding Numbers

6 cards

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Kinematics

One-Dimensional Motion

20 cards

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Motion Graphs

20 cards

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Two-Dimensional Motion

16 cards

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Projectile Motion

20 cards

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Polynomial Functions

Advanced Polynomial Operations

9 cards

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Factoring Polynomials

9 cards

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Polynomial Theorems and Roots

9 cards

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Graphing Polynomial Functions

15 cards

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Polynomial Long Division

12 cards

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Polynomial Division

15 cards

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Synthetic Division

6 cards

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Fluid Mechanics

Density and Pressure

16 cards

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Buoyancy and Archimedes' Principle

16 cards

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Fluid Dynamics and Continuity

16 cards

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Bernoulli's Equation

16 cards

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Fluid Dynamics

6 cards

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Exploring Data

Types of Data and Sampling

6 cards

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Displaying Distributions with Graphs

6 cards

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Describing Distributions

6 cards

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Measures of Center

6 cards

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Measures of Spread

6 cards

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Normal Distributions

6 cards

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Heart of Algebra

Linear Equations and Inequalities

3 cards

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Functions

3 cards

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Systems of Inequalities

6 cards

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Systems of Linear Equations

3 cards

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Multiplication and Division

Multi-Digit Multiplication

3 cards

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Long Division

3 cards

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Division with Remainders

6 cards

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Polynomial and Rational Functions

Polynomial Functions and End Behavior

7 cards

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Rational Functions and Asymptotes

8 cards

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Polynomial Division and Remainder Theorem

12 cards

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Partial Fraction Decomposition

12 cards

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Complex Numbers and Operations

7 cards

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Fundamental Theorem of Algebra and Factoring

7 cards

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Polynomial Inequalities

6 cards

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Rational Inequalities

6 cards

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Polynomial Inequalities

6 cards

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Rational Inequalities

6 cards

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Sampling and Experimentation

Sampling Methods

6 cards

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Observational Studies vs Experiments

6 cards

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Experimental Design

6 cards

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Bias in Sampling and Surveys

6 cards

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Place Value and Decimals

Place Value with Large Numbers

3 cards

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Adding and Subtracting Decimals

3 cards

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Multiplying Decimals

12 cards

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Dividing Decimals

12 cards

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Exponents and Scientific Notation

Laws of Exponents

3 cards

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Scientific Notation

3 cards

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Integer Exponents

6 cards

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Operations with Scientific Notation

6 cards

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Dynamics

Newton's First and Second Laws

20 cards

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Newton's Third Law and Applications

16 cards

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Friction

20 cards

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Inclined Planes

20 cards

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Atomic Structure and Properties

Moles and Molar Mass

7 cards

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Atomic Structure and Electron Configuration

8 cards

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Periodic Trends

8 cards

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Photoelectron Spectroscopy (PES)

8 cards

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Atomic Spectra: Emission, Absorption, and Electronic Transitions

6 cards

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Rational Numbers

Operations with Integers

3 cards

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Multiplying and Dividing Fractions

3 cards

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Multiplying and Dividing Integers

6 cards

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Rational Number Operations

6 cards

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Number Operations

Whole Number Operations

3 cards

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Prime Factorization

3 cards

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Integers and Rational Numbers

Operations with Integers

6 cards

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Absolute Value

6 cards

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Absolute Value

6 cards

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Comparing and Ordering Rational Numbers

6 cards

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Points, Lines, and Angles

Angle Relationships

9 cards

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Parallel Lines and Transversals

9 cards

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∞

Limits and Continuity

What is a Limit?

6 cards

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Limit Notation and Terminology

6 cards

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Estimating Limits from Tables

6 cards

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Estimating Limits from Graphs

6 cards

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One-Sided Limits in Detail

6 cards

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Direct Substitution Method

6 cards

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Factoring Method for Limits

6 cards

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Rationalizing to Evaluate Limits

6 cards

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Limits at Infinity

6 cards

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Infinite Limits and Vertical Asymptotes

6 cards

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What is Continuity?

6 cards

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Types of Discontinuity

6 cards

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Rational Expressions

Simplifying Rational Expressions

9 cards

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Operations with Rational Expressions

9 cards

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Solving Rational Equations

9 cards

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Linear Equations

Solving Linear Equations

9 cards

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Graphing Linear Equations

15 cards

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Linear Inequalities

9 cards

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Absolute Value Equations

9 cards

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Linear Equation Word Problems

9 cards

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Writing Linear Equations

9 cards

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Inequality Word Problems

9 cards

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ACT Math

Pre-Algebra and Elementary Algebra

3 cards

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Intermediate Algebra and Coordinate Geometry

3 cards

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Number and Quantity

3 cards

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Plane Geometry and Trigonometry

3 cards

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Statistics and Probability

3 cards

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Modeling and Problem Solving

3 cards

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Linear Equations

Solving Linear Equations

3 cards

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Electrostatics

Electric Field and Coulomb's Law

10 cards

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Gauss's Law

12 cards

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Gauss's Law Applications

6 cards

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Electric Potential

12 cards

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Kinematics

Position, Velocity, and Acceleration

10 cards

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Motion with Variable Acceleration

10 cards

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Circular Motion and Polar Coordinates

12 cards

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Chemistry of Life

Water and Its Properties

10 cards

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Carbohydrates

12 cards

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Lipids

14 cards

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Proteins

14 cards

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Nucleic Acids

14 cards

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Enzyme Kinetics

6 cards

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Thermodynamics

Temperature and Thermal Expansion

16 cards

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Heat and Specific Heat

16 cards

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Phase Changes and Latent Heat

16 cards

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Laws of Thermodynamics

16 cards

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Exponential and Logarithmic Functions

Exponential Functions

9 cards

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Logarithmic Functions

9 cards

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Solving Exponential Equations

9 cards

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Solving Logarithmic Equations

9 cards

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d/dx

Derivatives

What is a Derivative?

6 cards

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Derivative Notation

6 cards

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Derivative as Slope

6 cards

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Derivative as Rate of Change

6 cards

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The Power Rule

6 cards

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Constant Multiple and Sum Rules

6 cards

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The Product Rule

6 cards

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The Quotient Rule

6 cards

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The Chain Rule

6 cards

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Derivatives of Trigonometric Functions

6 cards

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Derivatives of Exponential Functions

6 cards

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Derivatives of Logarithmic Functions

6 cards

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Implicit Differentiation

6 cards

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Related Rates

6 cards

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Higher-Order Derivatives

6 cards

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Logarithmic Differentiation (Technique)

6 cards

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Exponential and Logarithmic Functions

Exponential Functions and Growth/Decay

8 cards

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Logarithmic Functions

9 cards

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Solving Exponential and Logarithmic Equations

12 cards

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Logarithmic and Exponential Models

14 cards

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Molecular and Ionic Compound Structure and Properties

Types of Chemical Bonds

8 cards

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Lewis Structures and Formal Charge

8 cards

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VSEPR Theory and Molecular Geometry

8 cards

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Hybridization and Sigma/Pi Bonds

8 cards

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Circular Motion & Gravitation

Uniform Circular Motion

16 cards

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Centripetal Force

16 cards

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Newton's Law of Universal Gravitation

20 cards

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Electrostatics

Electric Charge and Coulomb's Law

16 cards

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Electric Fields and Electric Potential

16 cards

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Cell Structure and Function

Prokaryotic vs. Eukaryotic Cells

10 cards

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Cell Organelles

16 cards

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Cell Membrane and Transport

16 cards

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Dynamics

Newton's Laws with Calculus

12 cards

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Friction and Inclined Planes

10 cards

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Capacitance

Capacitors and Dielectrics

12 cards

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Systems of Equations

Solving Systems of Equations

9 cards

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Graphing Systems of Equations

9 cards

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Systems of Equations Word Problems

9 cards

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Triangles

Triangle Angle Sum Theorem

9 cards

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Congruent Triangles

9 cards

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Pythagorean Theorem

9 cards

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Similar Triangles

9 cards

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Triangle Inequalities

6 cards

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Special Right Triangles

9 cards

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Special Segments in Triangles

6 cards

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Fractions and Decimals

Operations with Fractions

6 cards

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Decimals and Percents

9 cards

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Fraction and Decimal Conversions

6 cards

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Fractions and Decimals

Understanding Fractions

3 cards

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Adding and Subtracting Fractions

3 cards

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Working with Decimals

3 cards

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Dividing Fractions

6 cards

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Decimal Operations

6 cards

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Proportions and Percents

Solving Proportions

3 cards

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Percent Applications

3 cards

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Percent of Change

6 cards

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Simple Interest

6 cards

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Linear Equations and Functions

Solving Two-Step Equations

3 cards

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Introduction to Functions

3 cards

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Slope and Rate of Change

6 cards

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Linear Equations

6 cards

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Systems of Linear Equations

6 cards

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Fractions

Multiplying Fractions

3 cards

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Dividing Fractions

3 cards

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Multiplying and Dividing Fractions

6 cards

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Fractions

Equivalent Fractions

3 cards

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Comparing Fractions

3 cards

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Adding Fractions with Like Denominators

6 cards

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Multiplying Fractions by Whole Numbers

6 cards

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Problem Solving and Data Analysis

Ratios, Proportions, and Percents

3 cards

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Data Analysis and Statistics

3 cards

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Two-Way Tables and Conditional Probability

3 cards

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Statistical Claims and Studies

3 cards

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Scatterplots and Line of Best Fit

3 cards

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ACT English

Usage and Mechanics

3 cards

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Rhetorical Skills

3 cards

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Sentence Structure and Formation

3 cards

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Punctuation Rules

3 cards

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Usage and Style

3 cards

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Rhetorical Skills

3 cards

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Expressions and Equations

Simplifying Expressions

6 cards

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Solving Multi-Step Equations

6 cards

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Solving Inequalities

6 cards

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Probability

Basic Probability Rules

6 cards

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Conditional Probability

6 cards

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Independence

6 cards

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Discrete Random Variables

6 cards

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Binomial Distribution

6 cards

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Geometric Distribution

6 cards

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Continuous Random Variables

6 cards

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Intermolecular Forces and Properties

Types of Intermolecular Forces

8 cards

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Properties of Solids, Liquids, and Gases

8 cards

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Solutions and Solubility

8 cards

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Ideal Gas Law and Gas Properties

8 cards

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Mixtures and Separation Techniques

8 cards

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Ratios and Rates

Introduction to Ratios

3 cards

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Unit Rates

3 cards

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Energy

Work and Kinetic Energy

16 cards

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Gravitational Potential Energy

16 cards

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Elastic Potential Energy and Springs

16 cards

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Power

6 cards

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Conservation of Energy

16 cards

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Order of Operations and Expressions

Order of Operations (PEMDAS)

9 cards

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Introduction to Exponents

6 cards

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Exponents and Powers

6 cards

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Square Roots and Perfect Squares

6 cards

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Quadrilaterals and Polygons

Properties of Quadrilaterals

9 cards

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Polygon Angle Sums

9 cards

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Electric Circuits

Current, Resistance, and DC Circuits

12 cards

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RC Circuits

12 cards

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RC Circuits

6 cards

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Cellular Energetics

Enzymes and Metabolism

12 cards

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Cellular Respiration

14 cards

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Photosynthesis

16 cards

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Operations and Algebraic Thinking

Order of Operations

6 cards

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Numerical Expressions

6 cards

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Patterns and Relationships

6 cards

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Reading: Information and Ideas

Central Ideas and Details

3 cards

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Vocabulary in Context

3 cards

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Command of Evidence

3 cards

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Analyzing Arguments

3 cards

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Work and Energy

Work and Power

10 cards

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Conservative Forces and Potential Energy

12 cards

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Electric Circuits

Current, Resistance, and Ohm's Law

16 cards

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Series and Parallel Circuits

16 cards

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Kirchhoff's Laws

16 cards

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Transformations

Translations and Reflections

6 cards

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Rotations and Dilations

6 cards

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Congruence and Similarity

6 cards

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Polynomials and Factoring

Factoring Polynomials

9 cards

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Exponent Rules

9 cards

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Adding and Subtracting Polynomials

9 cards

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Multiplying Polynomials

9 cards

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Geometry

Angle Relationships

6 cards

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Area of Composite Figures

6 cards

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Surface Area and Volume

6 cards

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ACT Science

Data Representation

3 cards

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Research Summaries

3 cards

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Conflicting Viewpoints

3 cards

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Evaluation of Models and Experiments

3 cards

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Scientific Investigation

3 cards

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Data Representation in Science

3 cards

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Statistical Inference: Confidence Intervals

Sampling Distributions

6 cards

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Central Limit Theorem

6 cards

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Confidence Intervals for Proportions

6 cards

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Confidence Intervals for Means

6 cards

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Interpreting Confidence Intervals

6 cards

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Passport to Advanced Math

Quadratic Equations

3 cards

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Exponents and Radicals

3 cards

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Function Notation and Transformations

3 cards

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Polynomial Operations and Factoring

3 cards

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Exponential Functions and Equations

3 cards

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Decimals and Measurement

Understanding Decimals

3 cards

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Adding and Subtracting Decimals

6 cards

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Converting Units of Measurement

6 cards

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🎯

Applications of Derivatives

Critical Points and Extrema

6 cards

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The First Derivative Test

6 cards

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The Second Derivative Test

6 cards

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Optimization Problems

6 cards

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Curve Sketching

6 cards

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Mean Value Theorem

6 cards

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L'Hôpital's Rule

6 cards

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Linear Approximation

6 cards

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Newton's Method

6 cards

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Absolute Extrema on Closed Intervals

6 cards

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Volume and Geometry

Classifying 2D Shapes

6 cards

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Volume of Rectangular Prisms

3 cards

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Coordinate Plane Basics

6 cards

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Trigonometric Functions

Degrees and Radians

0 cards

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Trigonometric Identities

8 cards

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Arc Length and Sector Area

0 cards

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The Unit Circle

0 cards

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Graphing Trigonometric Functions

6 cards

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Solving Trigonometric Equations

7 cards

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Negative and Coterminal Angles

0 cards

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Inverse Trigonometric Functions

7 cards

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Law of Sines and Law of Cosines

7 cards

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Sum and Difference Identities

6 cards

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Double Angle and Half Angle Identities

6 cards

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Sequences and Series

Geometric Sequences

9 cards

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Arithmetic and Geometric Series

9 cards

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Geometric Sequences and Series

6 cards

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Infinite Series

6 cards

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Geometry

Pythagorean Theorem

3 cards

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Distance Formula

6 cards

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Volume of Cylinders, Cones, and Spheres

6 cards

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Complex Numbers

Introduction to Complex Numbers

9 cards

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Chemical Reactions

Types of Chemical Reactions

8 cards

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Stoichiometry and Limiting Reactants

8 cards

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Net Ionic Equations and Spectator Ions

8 cards

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Oxidation-Reduction (Redox) Reactions

8 cards

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Magnetism

Magnetic Fields and Forces

12 cards

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Sources of Magnetic Fields

12 cards

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Magnetism

Magnetic Fields and Forces

20 cards

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Electromagnetic Induction

20 cards

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Quadratic Equations

Solving Quadratic Equations

9 cards

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The Quadratic Formula

9 cards

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Completing the Square

6 cards

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Graphing Quadratic Functions

9 cards

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Data Analysis

Scatter Plots

6 cards

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Two-Way Tables

6 cards

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Circles

Circle Basics

9 cards

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Inscribed Angles

9 cards

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Inscribed Angles

6 cards

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Sector Area and Arc Length

9 cards

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Tangent Lines

6 cards

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Momentum

Momentum and Impulse

16 cards

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Conservation of Momentum

16 cards

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Collisions

20 cards

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ACT Test Strategy

Time Management

3 cards

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Guessing Strategies

3 cards

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Test Day Preparation

3 cards

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Ratios, Proportions, and Percents

Ratios and Rates

6 cards

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Solving Proportions

6 cards

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Percent Problems

6 cards

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Unit Rates

6 cards

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Percent Applications

6 cards

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Integers

Understanding Integers

3 cards

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Functions Involving Parameters, Vectors, and Matrices

Parametric Equations

6 cards

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Vectors in the Plane

7 cards

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Polar Coordinates and Graphs

7 cards

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Matrix Operations and Applications

7 cards

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∫

Integration

Introduction to Antiderivatives

6 cards

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Indefinite Integrals and Notation

6 cards

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U-Substitution Method

6 cards

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Integration by Parts

6 cards

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Riemann Sums and Area Approximation

6 cards

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Definite Integrals and the Fundamental Theorem

6 cards

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Area Between Curves

6 cards

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Volumes of Revolution: Disk Method

6 cards

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Volumes of Revolution: Washer Method

6 cards

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Volumes of Revolution: Shell Method

6 cards

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Reading: Command of Evidence

Finding Textual Evidence

3 cards

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ACT Reading

Main Ideas and Supporting Details

3 cards

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Making Inferences and Drawing Conclusions

3 cards

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Comparative Relationships and Contrasts

3 cards

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Key Ideas and Details - Natural Science

3 cards

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Author's Craft and Text Structure

3 cards

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Craft and Structure

3 cards

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Integration of Knowledge

3 cards

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Vocabulary in Context

3 cards

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Writing: Expression of Ideas

Transitions and Organization

3 cards

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Conciseness and Redundancy

3 cards

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Organization and Focus

3 cards

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Effective Language Use

3 cards

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Additional Topics in Math

Geometry: Lines, Angles, and Triangles

3 cards

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Circles and Arc Measures

3 cards

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Complex Numbers

3 cards

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Geometry

Lines and Angles

6 cards

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Area and Perimeter

6 cards

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Symmetry

6 cards

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Data and Graphing

Line Graphs

6 cards

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Measures of Center

6 cards

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Cell Communication and Cell Cycle

Cell Signaling and Signal Transduction

12 cards

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Cell Cycle and Mitosis

16 cards

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Meiosis and Sexual Reproduction

16 cards

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Statistical Inference: Hypothesis Testing

Hypothesis Testing Framework

6 cards

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Type I and Type II Errors

6 cards

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Tests for Proportions

6 cards

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Tests for Means

6 cards

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Paired Data

6 cards

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Chi-Square Tests

6 cards

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Linear Momentum

Momentum and Collisions

12 cards

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Center of Mass

12 cards

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Geometry Basics

Perimeter and Area

6 cards

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Volume of Rectangular Prisms

6 cards

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Angle Measurements

6 cards

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Introduction to Algebra

Variables and Expressions

6 cards

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Solving One-Step Equations

6 cards

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Combining Like Terms

6 cards

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Distributive Property

6 cards

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Solving Two-Step Equations

6 cards

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Radical Functions

Solving Radical Equations

9 cards

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Rational Exponents

9 cards

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∫∫

Advanced Integration (BC)

Trigonometric Substitution

6 cards

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Integration by Partial Fractions

6 cards

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Rotational Motion

Rotational Kinematics and Dynamics

14 cards

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Moment of Inertia

12 cards

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Parallel Axis Theorem

6 cards

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Angular Momentum

12 cards

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Data and Graphs

Reading Bar Graphs and Line Plots

6 cards

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Creating and Analyzing Data

6 cards

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Electromagnetic Induction

Faraday's Law and Lenz's Law

12 cards

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Inductance and RL Circuits

12 cards

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Kinetics

Reaction Rates and Rate Laws

8 cards

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Integrated Rate Laws and Half-Life

18 cards

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Activation Energy and Temperature Effects

18 cards

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Reaction Mechanisms and Intermediates

18 cards

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Number Theory

Factors and Multiples

6 cards

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Prime and Composite Numbers

6 cards

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GCF and LCM

6 cards

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Regression and Correlation

Scatter Plots and Correlation

6 cards

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Least-Squares Regression

12 cards

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Residuals and Residual Plots

12 cards

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Coefficient of Determination

12 cards

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Transformations for Linearity

6 cards

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Inference for Regression

6 cards

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Expressions and Equations

Writing Expressions

6 cards

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Evaluating Expressions

6 cards

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Solving One-Step Equations

6 cards

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Area and Perimeter

Area of Triangles and Quadrilaterals

9 cards

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Optics

Reflection and Refraction

20 cards

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Lenses

16 cards

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Interference and Diffraction

16 cards

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Simple Harmonic Motion

Introduction to Simple Harmonic Motion

20 cards

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Energy in Simple Harmonic Motion

20 cards

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Writing: Standard English Conventions

Grammar and Usage

3 cards

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Punctuation

3 cards

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Subject-Verb Agreement

3 cards

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Sentence Structure

3 cards

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Punctuation: Commas and Semicolons

3 cards

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Pronoun Agreement and Clarity

3 cards

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Subject-Verb Agreement

3 cards

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Pronoun Usage

3 cards

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Geometry Basics

Perimeter and Area

3 cards

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Volume of Rectangular Prisms

3 cards

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Ratios and Proportions

Ratios and Rates

9 cards

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Solving Proportions

9 cards

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Percent Problems

9 cards

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Direct and Inverse Variation

9 cards

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Functions

Introduction to Functions

9 cards

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Domain and Range

9 cards

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Arithmetic Sequences

9 cards

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Domain and Range

6 cards

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Heredity

Mendelian Genetics

14 cards

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Non-Mendelian Inheritance

16 cards

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Chromosomal Basis of Inheritance

16 cards

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📐

Parametric & Polar (BC)

Introduction to Parametric Equations

6 cards

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Calculus with Parametric Equations

6 cards

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Introduction to Polar Coordinates

6 cards

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Calculus with Polar Coordinates

6 cards

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Statistics and Probability

Statistical Questions and Data Display

6 cards

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Measures of Center and Variability

6 cards

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Thermodynamics

Enthalpy and Calorimetry

8 cards

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Entropy and the Second Law

8 cards

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Gibbs Free Energy and Spontaneity

8 cards

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Torque & Rotational Motion

Torque and Rotational Equilibrium

20 cards

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Rotational Kinematics

20 cards

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Rotational Dynamics and Angular Momentum

20 cards

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Introduction to Statistics

Reading Graphs and Charts

6 cards

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Mean, Median, and Mode

6 cards

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Range and Outliers

6 cards

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Radicals and Roots

Simplifying Radicals

9 cards

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Adding and Subtracting Radicals

9 cards

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Oscillations

Simple Harmonic Motion

12 cards

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Damped and Driven Oscillations

12 cards

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Coordinate Geometry

Distance and Midpoint Formulas

9 cards

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Slope and Equations of Lines

9 cards

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Equations of Circles

6 cards

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Maxwell's Equations

Maxwell's Equations

12 cards

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Electromagnetic Waves

12 cards

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Gene Expression and Regulation

DNA Structure and Replication

16 cards

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Transcription and RNA Processing

16 cards

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Translation and Protein Synthesis

16 cards

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Gene Regulation

16 cards

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Modern Physics

Photons and Atomic Physics

24 cards

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Matrices

Matrix Operations

9 cards

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Determinants and Inverses

6 cards

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Conic Sections

Circles

9 cards

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Parabolas (Conic Form)

9 cards

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Gravitation

Universal Gravitation and Orbits

16 cards

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Data and Statistics

Measures of Center

9 cards

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Scatter Plots and Correlations

9 cards

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Introduction to Probability

9 cards

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Box Plots

6 cards

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Outliers in Data

6 cards

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∞

Sequences & Series (BC)

Introduction to Sequences

6 cards

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Introduction to Infinite Series

6 cards

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The Integral Test

6 cards

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Direct and Limit Comparison Tests

6 cards

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Alternating Series Test

6 cards

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Ratio and Root Tests

6 cards

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Evolution

Natural Selection and Evolution

16 cards

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Natural Selection and Adaptation

6 cards

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Speciation

6 cards

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Phylogeny and Classification

6 cards

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Solid Geometry

Volume of Solids

9 cards

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Surface Area

9 cards

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∑

Power & Taylor Series (BC)

Introduction to Power Series

6 cards

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Radius and Interval of Convergence

6 cards

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Taylor and Maclaurin Series

6 cards

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Common Taylor Series and Applications

6 cards

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Acids and Bases

Acid-Base Theories and pH Scale

8 cards

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Weak Acids, Weak Bases, and K_a/K_b

8 cards

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Buffer Solutions and Henderson-Hasselbalch

8 cards

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Acid-Base Titrations and Indicators

8 cards

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SAT Test Strategy

Calculator vs No-Calculator Strategies

3 cards

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Process of Elimination

3 cards

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Time Management for SAT

3 cards

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Reading Strategies

3 cards

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Advanced Functions

Piecewise Functions

9 cards

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Inverse Functions

9 cards

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Ecology

Population Ecology

10 cards

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Community Ecology and Interactions

12 cards

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Ecosystems and Energy Flow

12 cards

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Population Dynamics

6 cards

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Chemical Equilibrium

Introduction to Chemical Equilibrium

8 cards

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Reaction Quotient and Le Chatelier's Principle

8 cards

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ICE Tables and Equilibrium Calculations

8 cards

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Solubility Equilibria and K_sp

8 cards

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Solubility Equilibrium: Saturated Solutions, Common Ion, and Precipitation

6 cards

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Electrochemistry

Galvanic Cells and Standard Cell Potentials

8 cards

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Nernst Equation and Concentration Effects

8 cards

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Electrolytic Cells and Quantitative Electrolysis

8 cards

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