arith231 Integer multiplication and division
arith067 Simplifying a fraction
arith212 Equivalent fractions
arith105 Signed fraction multiplication: Advanced
arith220 Decimal place value: Hundreds to ten thousandths
arith221 Rounding decimals
arith234 Signed decimal addition and subtraction with 3 numbers
arith030 Finding a percentage of a whole number without a calculator: Basic
arith047 Evaluating expressions with exponents: Problem type 1
arith029 Ordering numbers with positive exponents
arith024 Ordering numbers with negative exponents
alge024 Introduction to the product rule of exponents
alge026 Quotient of expressions involving exponents
alge004 Evaluating a quadratic expression: Integers
alge606 Distributive property: Whole number coefficients
alge604 Distributive property: Integer coefficients
alge607 Combining like terms: Integer coefficients
alge663 Combining like terms: Advanced
alge160 Algebraic symbol manipulation
alge027 Power rules with positive exponents
alge025 Power of a power rule with negative exponents
alge029 Simplifying a sum or difference of three univariate polynomials
alge030 Product rule with positive exponents: Multivariate
alge033 Multiplying binomials with leading coefficients of 1
alge032 Squaring a binomial: Univariate
alge180 Multiplication involving binomials and trinomials in two variables
alge053 Multiplying rational expressions involving multivariate monomials
alge006 Solving a two-step equation with integers
alge200 Solving an equation to find the value of an expression
alge060 Solving a rational equation that simplifies to linear: Denominator x
alge212 Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators
alge062 Solving a rational equation that simplifies to quadratic: Binomial denominators and numerators
alge214 Discriminant of a quadratic equation
alge095 Applying the quadratic formula: Exact answers
alge194 Graphing a line given its equation in slope-intercept form
alge196 Graphing a line through a given point with a given slope
alge637 Determining the slope of a line given its graph
alge210 Finding x- and y-intercepts of a line given the equation: Advanced
alge070 Writing an equation of a line given the y-intercept and another point
unit041 Volume of a cube or a rectangular prism
geom802 Circumference and area of a circle
unit841 Volume of a sphere
unit029 Volume of a cylinder

arith082 Multiplication of a decimal by a power of ten
arith083 Division of a decimal by a power of ten
scinot101 Converting between decimal numbers and numbers written in scientific notation
scinot102 Multiplying and dividing numbers written in scientific notation
scinot103 Calculating positive powers of scientific notation
scinot007 Finding negative powers of scientific notation
unit040 Identifying SI units
unit014 Interconversion of prefixed and base SI units
unit015 Interconversion of prefixed SI units
unit016 Interconverting compound SI units
unit038 Interconverting derived SI units
unit032 Interconverting temperatures in Celsius and Kelvins
unit033 Interconverting temperatures in Celsius and Fahrenheit
unit017 Adding and subtracting simple units
unit018 Multiplying and dividing simple units
unit019 Powers and roots of powers of simple units
unit020 Forming compound units
unit021 Adding and subtracting compound units
unit022 Multiplying and dividing compound units
unit023 Powers and roots of compound units
sigfig001 Counting significant digits
sigfig002 Rounding to a given significant digit
sigfig003 Counting significant digits when measurements are added or subtracted
sigfig004 Counting significant digits when measurements are multiplied or divided
sigfig005 Adding or subtracting and multiplying or dividing measurements

atom015 Distinguishing elements and compounds
atom016 Distinguishing compounds and mixtures
atom034 Distinguishing chemical and physical change
atom033 Distinguishing solid, liquid and gas phases of a pure substance
atom001 Names and symbols of important elements
atom002 Reading a Periodic Table entry
atom042 Understanding periods and groups of the Periodic Table
atom003 Organization of the Periodic Table
atom005 Standard chemical and physical states of the elements
atom038 Using the Periodic Table to identify similar elements

atom039 Identifying the parts of an atom
atom006 Counting protons and electrons in atoms and atomic ions
atom029 Finding isoprotonic atoms
atom030 Finding isoelectronic atoms
atom012 Predicting the ions formed by common main-group elements
atom004 Isotopes
atom019 Counting valence electrons in an atomic ion
atom020 Drawing the Lewis dot diagram of a main group atom or common atomic ion
atom048 Counting the electron shells in a neutral atom
stoich006 Counting the number of atoms in a formula unit
atom045 Understanding the prefixes used in naming binary compounds
atom014 Naming binary covalent compounds
ochem001 Identifying organic compounds
ochem008 Naming normal alkanes
atom017 Predicting whether a compound is ionic or molecular
atom007 Predicting the formula of binary ionic compounds
atom008 Naming binary ionic compounds
atom028 Deducing the ions in a binary ionic compound from its empirical formula
atom013 Predicting and naming ionic compounds formed by two elements
atom036 Identifying common polyatomic ions
atom011 Predicting the formula of ionic compounds with common polyatomic ions
atom009 Naming ionic compounds with common polyatomic ions
atom035 Deducing the ions in a polyatomic ionic compound from its empirical formula
atom037 Identifying oxoanions
atom010 Naming ionic compounds with common oxoanions

stoich002 Using the Avogadro Number
stoich003 Calculating and using the molar mass of elements
stoich004 Calculating and using the molar mass of diatomic elements
stoich005 Calculating and using the molar mass of heterodiatomic compounds
stoich007 Finding mole ratios from chemical formulae
stoich008 Finding chemical formulae from a mole ratio
stoich009 Finding molar mass from chemical formulae
stoich010 Finding mass percent from chemical formulae
stoich011 Elemental analysis
rxn002 Writing a chemical equation from a description of the reaction
rxn001 Identifying combination, decomposition, single and double displacement reactions
stoich012 Stoichiometric coefficients
stoich013 Balancing chemical equations with noninterfering coefficients
stoich014 Balancing chemical equations with interfering coefficients
rxn004 Writing the net equation for a sequence of reactions
stoich015 Solving for a reactant using a chemical equation
stoich017 Limiting reactants
stoich018 Percent yield of chemical reactions
stoich020 Calculating molarity using solute moles
stoich028 Using molarity to find solute moles and solution volume
stoich029 Calculating molarity using solute mass
stoich030 Using molarity to find solute mass and solution volume
stoich021 Dilution
stoich037 Solving for a reactant in solution
stoich038 Solving limiting reactant problems in solution
stoich022 Calculating mass percent composition
stoich032 Using mass percent composition to find solution volume
soln006 Calculating molality
soln008 Calculating mole fraction

soln001 Predicting the products of dissolution
soln002 Writing net ionic equations
soln003 Predicting precipitation
rxn006 Identifying precipitation, combustion and acid-base reactions
acid002 Identifying acids and bases by their chemical formula
acid011 Predicting the products of a neutralization reaction
acid001 Identifying acids and bases by their reaction with water
acid007 Understanding the difference between strong and weak acids
acid008 Identifying Bronsted-Lowry acids and bases
acid009 Finding the conjugate of an acid or base
acid010 Predicting the products of the reaction of a strong acid with water
acid003 Naming inorganic acids
acid004 Deducing the formulae of inorganic acids from their names
acid006 Recognizing common acids and bases
redox001 Assigning oxidation numbers
redox002 Recognizing reduction and oxidation
redox003 Identifying oxidizing and reducing agents
redox004 Identifying oxidized and reduced reactants in a metal-nonmetal reaction
redox005 Identifying oxidized and reduced reactants in a single-displacement reaction
redox011 Predicting whether simple electrochemical reactions happen
redox006 Writing a simple half-reaction from its description
redox007 Writing the half-reactions of a metal-nonmetal reaction
redox008 Writing the half-reactions of a single-displacement reaction

thermo001 Understanding how kinetic energy scales with mass and speed
thermo002 Understanding how electrostatic potential energy scales with charge and separation
thermo003 Using conservation of energy to predict the qualitative exchange of kinetic and potential energy
thermo005 Calculating pressure-volume work
thermo006 Understanding the definitions of heat and work
thermo007 Understanding the definition of enthalpy
thermo008 Interconverting calories and joules
thermo011 Calculating specific heat capacity
thermo009 Using specific heat capacity to find heat
thermo010 Using specific heat capacity to find temperature change
thermo020 Using the general properties of reaction enthalpy
thermo014 Calculating the heat of reaction from molar reaction enthalpy and the mass of a reactant
thermo021 Using Hess's Law to calculate net reaction enthalpy
thermo022 Writing a standard formation reaction
thermo023 Calculating a molar heat of reaction from formation enthalpies
thermo018 Calculating the heat of reaction from bond energies

atom051 Understanding the meaning of a de Broglie wavelength
atom052 Interpreting the radial probability distribution of an orbital
atom053 Interpreting the angular probability distribution of an orbital
atom054 Recognizing s and p orbitals
atom055 Deducing n and l from a subshell label
atom056 Deciding the relative energy of electron subshells
atom057 Drawing a box diagram of the electron configuration of an atom
atom021 Deducing the allowed quantum numbers of an atomic electron
atom024 Calculating the capacity of electron subshells
atom031 Knowing the subshells of an electron shell
atom025 Interpreting the electron configuration of an atom or atomic ion
atom026 Interpreting the electron configuration of an atom or atomic ion in noble-gas notation
atom027 Writing the electron configuration of an atom or atomic ion with s and p electrons only
atom046 Understanding periodic trends in atomic size
atom047 Understanding periodic trends in atomic ionizability
atom041 Understanding the organization of the electromagnetic spectrum
atom040 Interconverting the wavelength and frequency of electromagnetic radiation
atom043 Interconverting wavelength, frequency and photon energy
atom044 Calculating the wavelength of a spectral line from an energy diagram
atom049 Predicting the qualitative features of a line spectrum
atom050 Calculating the wavelength of a line in the spectrum of hydrogen

gas001 Interconverting pressure and force
gas002 Measuring pressure in non-SI units
gas003 Understanding pressure equilibrium and atmospheric pressure
gas004 Understanding Boyle's Law
gas005 Solving applications of Boyle's Law
gas006 Using Charles's Law
gas007 Using the ideal equation of state
gas008 Interconverting molar mass and density of ideal gases
gas009 Calculating mole fraction in a gas mixture
gas010 Calculating partial pressure in a gas mixture
gas011 Solving for a gaseous reactant
gas012 Understanding how average molecular kinetic energy scales with temperature
gas013 Understanding how average molecular speed scales with temperature and molar mass
gas014 Interpreting a graph of molecular speed distribution
gas015 Predicting how molecular speed distribution changes with temperature and molar mass
gas016 Calculating average molecular speed
gas017 Understanding how molecular collision rate scales with temperature and volume
gas018 Using relative effusion rates to find an unknown molar mass

thermo017 Using heat of fusion or vaporization to find the heat needed to melt or boil a substance
thermo019 Relating vapor pressure to vaporization
thermo040 Using a phase diagram to predict phase at a given temperature and pressure
thermo041 Labeling a typical simple phase diagram
thermo042 Using a phase diagram to find a phase transition temperature or pressure
soln013 Understanding conceptual components of the enthalpy of solution
soln010 Using Henry's Law to calculate the solubility of a gas
soln005 Predicting relative boiling point elevations and freezing point depressions
soln007 Using osmotic pressure to find molar mass
soln009 Using Raoult's Law to calculate the vapor pressure of a component
equi009 Predicting how reaction rate varies with pressure, concentration and temperature
equi012 Calculating the reaction rate of one reactant from that of another
equi032 Calculating average and instantaneous reaction rate from a graph of concentration versus time
equi019 Using a rate law
equi020 Using reactant reaction order to predict changes in initial rate
equi021 Deducing a rate law from initial reaction rate data
equi023 Calculating the change in concentration after a whole number of half-lives of a first-order reaction
equi022 Using an integrated rate law for a first-order reaction
equi027 Using a second-order integrated rate law to find concentration change
equi028 Using first- and second-order integrated rate laws
equi029 Deducing a rate law from the change in concentration over time
equi030 Finding half life and rate constant from a graph of concentration versus time
equi010 Interpreting a reaction energy diagram
equi011 Relating activation energy to reaction rate
equi013 Drawing the reaction energy diagram of a catalyzed reaction
equi024 Understanding the qualitative predictions of the Arrhenius equation
equi025 Using the Arrhenius equation to calculate k at one temperature from k at another
equi026 Using the Arrhenius equation to calculate Ea from k versus T data
equi003 Understanding that no reaction goes to 100% completion
equi004 Predicting relative forward and reverse rates of reaction in a dynamic equilibrium
equi005 Using Le Chatelier's Principle to predict the result of changing concentration or volume
equi006 Using Le Chatelier's Principle to predict the result of changing temperature
equi007 Writing an equilibrium constant expression
equi014 Writing an equilibrium constant expression for a heterogeneous equilibrium
equi008 Using an equilibrium constant to predict the direction of spontaneous reaction
equi015 Using the general properties of equilibrium constants
equi016 Setting up a reaction table
equi017 Calculating equilibrium composition from an equilibrium constant
acid032 Predicting the qualitative acid-base properties of salts
acid005 Naming acid salts
acid016 Interconverting pH and hydronium ion concentration
acid017 Using the ion product of water
acid018 Making qualitative estimates of pH change
acid019 Calculating the pH of a strong acid solution
acid020 Calculating the pH of a strong base solution
acid021 Diluting a strong acid solution to a given pH
acid022 Preparing a strong base solution with a given pH
acid026 Writing an acid dissociation constant expression
acid027 Calculating the Ka of a weak acid from pH
acid028 Calculating the pH of a weak acid solution
acid029 Writing a base protonation constant expression
acid030 Calculating the pH of a weak base solution
acid031 Deriving Kb from Ka
acid042 Interconverting Ka and pKa
acid048 Calculating the pH of a salt solution
acid035 Identifying the major species in weak acid or weak base equilibria
acid036 Setting up a reaction table for a pH calculation with a common ion
acid037 Calculating the pH of a buffer
acid038 Calculating the composition of a buffer of a given pH
acid023 Determining the volume of base needed to titrate a given mass of acid
acid024 Determining the molar mass of an acid by titration
acid025 Standardizing a base solution by titration
acid040 Calculating the pH of a weak acid titrated with a strong base
acid041 Calculating the pH of a weak base titrated with a strong acid
acid043 Calculating the pH at equivalence of a titration
soln014 Writing a solubility product (Ksp) expression
soln015 Using Ksp to calculate the solubility of a compound
soln016 Using the solubility of a compound to calculate Ksp
soln017 Calculating the solubility of an ionic compound when a common ion is present
soln018 Understanding the effect of pH on the solubility of ionic compounds
thermo024 Calculating entropy change from reversible heat flow
thermo026 Calculating absolute entropy using the Boltzmann hypothesis
thermo027 Calculating entropy change using the Boltzmann hypothesis
thermo028 Predicting qualitatively how entropy changes with temperature and volume
thermo029 Predicting qualitatively how entropy changes with mixing and separation
thermo030 Qualitatively predicting reaction entropy
thermo031 Calculating reaction entropy using the standard molar entropies of reactants
thermo032 Using the general properties of Gibbs free energy
thermo033 Calculating dG from dH and dS
thermo034 Using the conditions of spontaneity to deduce the signs of .H and .S
thermo035 Calculating standard reaction free energy from standard free energies of formation
thermo036 Predicting how equilibrium shifts with temperature change
thermo037 Estimating a phase transition temperature from standard thermodynamic data
thermo038 Calculating reaction free energy under nonstandard conditions
thermo039 Using reaction free energy to predict equilibrium composition
redox009 Writing and balancing complex half-reactions in acidic solution
redox010 Writing and balancing complex half-reactions in basic solution
redox013 Balancing a complex redox equation in acidic or basic solution
redox014 Writing the half-reactions of a complex redox reaction in acidic or basic solution
redox012 Designing a galvanic cell from a single-displacement redox reaction
redox016 Designing a galvanic cell from two half-reactions
redox017 Analyzing a galvanic cell
redox018 Picking a reduction or oxidation that will make a galvanic cell work
redox019 Ranking the strength of oxidizing and reducing agents using standard reduction potentials
redox020 Calculating standard reaction free energy from standard reduction potentials
redox021 Using the Nernst equation to calculate nonstandard cell voltage
nchem001 Interpreting the symbol for a nuclide
nchem002 Writing the symbols in a nuclear chemical equation
nchem003 Balancing a nuclear chemical equation
nchem004 Knowing the properties of the common types of nuclear radiation
nchem005 Understanding the common modes of radioactive decay
nchem006 Writing the equation for a typical radioactive decay
nchem008 Calculating the energy change in a nuclear reaction from the mass change
nchem009 Understanding radioactive half life
nchem010 Interconverting amount of radioactive decay and half life
nchem011 Calculating radioactive activity from half life
nchem012 Using isotope ratios to radiodate
nchem013 Using activity to radiodate
ochem003 Interpreting condensed chemical structures
ochem004 Identifying organic functional groups
ochem005 Identifying the main chain of branched alkanes
ochem006 Numbering the main chain of branched alkanes
ochem007 Interpreting condensed chemical structures with benzene rings
ochem009 Using family suffixes to name organic compounds
ochem010 Naming the parent hydrocarbon of branched alkanes
ochem011 Naming alkyl side chains
ochem012 Naming branched alkanes
ochem013 Using multiplying affixes in the names of branched alkanes
ochem016 Naming unbranched alkenes and alkynes
ochem017 Naming alkenes and alkynes
ochem018 Naming alkyl halides
ochem019 Naming alcohols
ochem020 Naming aldehydes and acids
ochem021 Naming benzene derivatives