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Math Problems
Algebra 2
Trigonometric identities
Find trigonometric ratios using a Pythagorean or reciprocal identity
Find trigonometric ratios using multiple identities
Symmetry and periodicity of trigonometric functions
Complementary angle identities
Simplify expressions using trigonometric identities
Logarithms
Convert between exponential and logarithmic form: rational bases
Convert between natural exponential and logarithmic form
Convert between exponential and logarithmic form: all bases
Evaluate natural logarithms
Change of base formula
Evaluate logarithms using a calculator
Identify properties of logarithms
Product property of logarithms
Power property of logarithms
Properties of logarithms: mixed review
Evaluate logarithms using properties
Evaluate logarithms
Quotient property of logarithms
Complex numbers
Add and subtract complex numbers
Complex conjugates
Divide complex numbers
Powers of i
Absolute values of complex numbers
Multiply complex numbers
Add, subtract, multiply, and divide complex numbers
Introduction to complex numbers
Evaluate expression when two complex numbers are given
Evaluate expression when a complex numbers and a variable term is given
Quadratic equation with complex roots
Simplify the expression using imaginary number i
Exponential and logarithmic functions
Compound interest: word problems
Evaluate exponential functions
Solve exponential equations using common logarithms
Solve exponential equations using natural logarithms
Solve logarithmic equations I
Solve logarithmic equations II
Exponential functions over unit intervals
Identify linear and exponential functions
Exponential growth and decay: word problems
Continuously compounded interest: word problems
Describe linear and exponential growth and decay
Solve exponential equations by rewriting the base
Interpret the exponential function word problem
Identify linear and exponential functions from word problem
Finance problems
Circles
Write equations of circles in standard form using properties
Find properties of circles from equations in general form
Find the center of a circle
Find the radius or diameter of a circle
Convert equations of circles from general to standard form
Ellipses
Write equations of ellipses in standard form using properties
Convert equations of ellipses from general to standard form
Find properties of ellipses from equations in general form
Find the length of the major or minor axes of an ellipse
Find the center, vertices, or co-vertices of an ellipse
Find the foci of an ellipse
Hyperbolas
Find properties of hyperbolas from equations in general form
Find the center of a hyperbola
Find the length of the transverse or conjugate axes of a hyperbola
Convert equations of hyperbolas from general to standard form
Write equations of hyperbolas in standard form using properties
Parabolas
Find the focus or directrix of a parabola
Convert equations of parabolas from general to vertex form
Find properties of a parabola from equations in general form
Find the vertex of a parabola
Find the axis of symmetry of a parabola
Identify the direction a parabola opens
Write equations of parabolas in vertex form using properties
Families of functions
Reflections of functions
Function transformation rules
Dilations of functions
Transformations of functions
Describe function transformations
Function operations
Composition of linear functions: find an equation
Add and subtract functions
Multiply functions
Divide functions
Find inverse functions and relations
Composition of linear and quadratic functions: find an equation
Identify inverse functions
Composition of linear functions: find a value
Composition of linear and quadratic functions: find a value
Inequalities
Solve absolute value inequalities
Solve quadratic inequalities
Linear Inequality Word Problems
Write a linear inequality: word problems
Solve linear inequalities
Functions
Identify functions
Evaluate functions
Find the slope of a linear function
Write the equation of a linear function
Domain and range of absolute value functions: equations
Transformations of absolute value functions
Domain and range
Average rate of change
Set up and solve system of linear equations
Systems of equations
Solve a system of equations using substitution
Is (x, y) a solution to the system of equations?
Classify a system of equations
Solve a system of equations using elimination
Solve a system of equations using any method
Solve a system of equations using any method: word problems
Solve a system of equations in three variables using substitution
Solve a system of equations in three variables using elimination
Solve a system of linear and quadratic equations: parabolas
Solve a system of linear and quadratic equations: circles
Find the number of solutions to a system of equations
Solve a system of equations using substitution: word problems
Solve a system of equations using elimination: word problems
Determine the number of solutions to a system of equations in three variables
Solve system of equations: Complex word problems
Solve a nonlinear system of equations
Real numbers
Properties of operations on rational and irrational numbers
Classify rational and irrational numbers
Radical functions and expressions
Roots of integers
Roots of rational numbers
Find roots using a calculator
Multiply radical expressions
Simplify radical expressions involving fractions
Simplify radical expressions using conjugates
Solve radical equations
Simplify radical expressions with variables II
Simplify the product of two radical expressions having same variable
Simplify radical expressions with root inside the root
Simplify radical expressions using the distributive property
Add and subtract radical expressions
Rational exponents
Evaluate rational exponents
Division with rational exponents
Power rule
Simplify expressions involving rational exponents I
Simplify expressions involving rational exponents II
Multiplication with rational exponents
Rational functions and expressions
Evaluate rational expressions II
Simplify rational expressions
Multiply and divide rational expressions
Add and subtract rational expressions
Solve rational equations
Rational functions: asymptotes and excluded values
Evaluate rational expressions I
Variation
Write and solve direct variation equations
Write and solve inverse variation equations
Write joint and combined variation equations II
Write joint and combined variation equations I
Find the constant of variation
Trigonometry
Solve trigonometric equations I
Pythagorean Theorem and its converse
Find trigonometric functions using a calculator
Solve trigonometric equations II
Find trigonometric ratios using the unit circle
Inverses of sin, cos, and tan: degrees
Csc, sec, and cot of special angles
Inverses of csc, sec, and cot
Sin, cos, and tan of special angles
Solve complex trigonomentric equations
Find Coordinate on Unit Circle
Find trigonometric ratios using reference angles
Inverses of sin, cos, and tan: radians
Trigonometric functions
Write equations of sine and cosine functions using properties
Write equations of sine functions using properties
Write equations of cosine functions using properties
Sequences and series
Find the sum of an arithmetic series
Find terms of an arithmetic sequence
Find terms of a geometric sequence
Classify formulas and sequences
Sequences: mixed review
Identify arithmetic and geometric series
Partial sums of arithmetic series
Partial sums: mixed review
Convergent and divergent geometric series
Find the value of an infinite geometric series
Evaluate recursive formulas for sequences
Write a formula for an arithmetic sequence
Convert between explicit and recursive formulas
Introduction to sigma notation
Find the sum of a finite geometric series
Partial sums of geometric series
Evaluate explicit formulas for sequences
Convert a recursive formula to an explicit formula
Write a repeating decimal as a fraction
Convert an explicit formula to a recursive formula
Write a formula for a recursive sequence
Introduction to partial sums
Sum of finite series starts from 1
Sum of finite series not start from 1
Probability
Find probabilities using combinations and permutations
Identify independent events
Find probabilities using the addition rule
Combinations and permutations
Counting principle
Independence and conditional probability
Introduction to probability
Probability of independent and dependent events
Probability distributions
Find probabilities using the binomial distribution
Expected values for a game of chance
Choose the better bet
Find probabilities using the normal distribution I
Find probabilities using the normal distribution II
Find values of normal variables
Identify discrete and continuous random variables
Quadratic functions
Solve a quadratic equation by completing the square
Write a quadratic function from its x-intercepts and another point
Complete the square
Solve a quadratic equation by factoring
Write a quadratic function from its zeros
Characteristics of quadratic functions: equations
Transformations of quadratic functions
Solve a quadratic equation using square roots
Domain and range of quadratic functions: equations
Interpret parts of quadratic expressions: word problems
Write a quadratic function from its vertex and another point
Using the discriminant
Write a quadratic function in vertex form
Solve a quadratic equation using the quadratic formula
Solve a quadratic equation using the zero product property
Find the vertex of the transformed function
Solve quadratic equations: word problems
Ratio and Quadratic equation
Factoring
Factor out a monomial
Factor using a quadratic pattern
Factor sums and differences of cubes
Factor polynomials
Factor by grouping
Factor quadratics
Polynomials
Multiply polynomials
Add, subtract, multiply, and divide polynomials
Find the roots of factored polynomials
Fundamental Theorem of Algebra
Solve polynomial equations
Write a polynomial from its roots
Polynomial vocabulary
Add and subtract polynomials
Complex conjugate theorem
Conjugate root theorems
Descartes' Rule of Signs
Binomial Theorem II
Even and odd functions
Divide polynomials using long division
Rational root theorem
Angle measures
Coterminal angles
Reference angles
Convert between radians and degrees
Quadrants
Statistics
Identify biased samples
Experiment design
Interpret confidence intervals for population means
Analyze the results of an experiment using simulations
Systems of inequalities
Is (x, y) a solution to the system of inequalities?
Write and solve systems of linear inequalities algebraically: word problems
Variable expressions
Simplify variable expressions using properties
Evaluate variable expressions involving integers
Evaluate variable expressions involving rational numbers
Equations
Solve multi-variable equations
Solve linear equations
Solve one-step and two-step equations: word problems
Solve absolute value equations
Matrices
Matrix vocabulary