Algebra II Exercises
This page has all the exercises currently under the Algebra II Math Mission on Khan Academy.
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Defined and undefined matrix operations -
Solve square-root equations (basic) -
Graphs of exponentials and logarithms -
Determine if a function is even or odd from its graph -
Equivalent forms of exponential expressions -
Distinguish between direct and inverse variation -
Remainder theorem of polynomials -
Using zeros to graph polynomials
All items (235)
A
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Add and subtract polynomials with one variable
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Add and subtract rational expressions by finding the least common multiple
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Add and subtract rational expressions with factored denominators
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Add and subtract rational expressions with relatively prime denominators
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Add and subtract rational expressions with the same denominator
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Adding and subtracting complex numbers
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Adding and subtracting negative fractions
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Adding and subtracting polynomials
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Adding and subtracting radicals
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Adding and subtracting rational expressions 1
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Adding and subtracting rational expressions 2
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Adding and subtracting rational expressions 3
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Adding and subtracting rational expressions 4
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Adding and subtracting rational expressions 5
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Adding and subtracting rational expressions 6
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Adding and subtracting rational expressions 7
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Advanced structure in expressions
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Category:Algebra II: Advanced equations and inequalities
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Category:Algebra II: Advanced functions
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Category:Algebra II: Arithmetic with polynomials
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Category:Algebra II: Conic sections
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Category:Algebra II: Exponential and logarithmic functions
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Category:Algebra II: Exponential growth and decay
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Category:Algebra II: Functions and their graphs
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Category:Algebra II: Imaginary and complex numbers
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Category:Algebra II: Introduction to complex numbers
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Category:Algebra II: Introduction to conic sections
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Category:Algebra II: Introduction to exponential functions
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Category:Algebra II: Logarithms
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Category:Algebra II: Manipulating functions
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Category:Algebra II: Matrices
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Category:Algebra II: Miscellaneous
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Category:Algebra II: Mission foundations
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Category:Algebra II: Modeling with algebra
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Category:Algebra II: Old content
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Category:Algebra II: Polynomial and rational functions
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Category:Algebra II: Polynomial expressions, equations, and functions
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Category:Algebra II: Radical equations and functions
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Category:Algebra II: Rational expressions
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Category:Algebra II: Rational expressions, equations, and functions
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Category:Algebra II: Sequences and series
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Category:Algebra II: Systems of equations and inequalities
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Algebraically finding inverses
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Analyze extraneous solutions of radical equations
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Analyze invertible and non-invertible functions
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Analyze the solutions of systems of equations graphically
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Approximating square roots
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Asymptotes of a hyperbola
C
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Checking solutions to two-variable linear equations
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Classify complex numbers
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Compare features of functions
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Compare the growth rates of exponentials and polynomials
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Comparing features of functions
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Completing solutions of systems of inequalities
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Compose functions
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Construct basic exponential functions from the initial value and the common ratio
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Constructing linear and exponential functions
D
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Defined and undefined matrix operations
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Determine if a function is even or odd from its graph
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Determine the domain of advanced functions
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Determine the domain of advanced piecewise functions
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Determine the end behavior of rational functions
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Determine the range of a quadratic function
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Distinguish between direct and inverse variation
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Divide polynomials by linear binomials with remainders
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Divide polynomials by monomials with remainders
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Divide polynomials by polynomials with remainders
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Divide polynomials with remainders
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Dividing complex numbers
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Dividing polynomials by binomials 1
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Dividing polynomials by binomials 2
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Dividing polynomials by binomials 3
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Domain and range from graph
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Domain and range with inverse functions
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Domain of a function
E
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Equation of a circle in factored form
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Equation of a circle in non-factored form
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Equation of an ellipse
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Equations with parentheses
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Equivalent expressions with distribution and combining like terms
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Equivalent forms of exponential expressions
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Equivalent forms of polynomial expressions
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Evaluate composite functions from formulas
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Evaluate composite functions from graphs and tables
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Evaluate functions from their formula
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Evaluate logarithms using the change of base rule
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Evaluating composite functions
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Evaluating expressions with variables word problems
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Evaluating function expressions
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Evaluating logarithms (advanced)
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Evaluating logarithms (basic)
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Exploring the foci of an ellipse
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Extraneous solutions to radical equations
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Extraneous solutions to rational equations
F
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Factor perfect squares
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Factor polynomials with special product forms
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Factoring differences of squares
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Factoring polynomials by grouping
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Factoring polynomials using quadratic methods
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Factoring quadratics 1
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Factoring quadratics 2
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Factoring quadratics with a leading coefficient of 1
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Factoring simple special products
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Find conjugates of complex numbers
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Find inverse values of functions
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Find inverses of polynomial, radical, and rational functions
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Find special products of binomials (advanced)
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Find the absolute value of complex numbers
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Finite geometric series word problems
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Fractional exponents 2
G
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Graph quadratic functions in all forms
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Graphing circles
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Graphing circles 2
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Graphing inequalities and checking solutions
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Graphing parabolas in all forms
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Graphing systems of inequalities and checking solutions
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Graphs of absolute value functions
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Graphs of exponential functions
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Graphs of exponentials and logarithms
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Graphs of nonlinear piecewise functions
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Graphs of piecewise nonlinear functions
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Graphs of polynomials
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Graphs of rational functions
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Graphs of square root functions
I
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Identify and analyze discontinuities of rational functions
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Identifying terms, factors, and coefficients in expressions
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Interpret the end behavior of modeling functions
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Interpret the periodicity of modeling functions
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Interpreting graphs word problems
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Intersecting functions
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Inverses of linear functions
M
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Making use of structure 2 - Factoring polynomials with special product forms
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Manipulating fractional exponents
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Match graphs of rational functions to their formula
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Match the formula of a radical function to its graph
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Matrix addition and subtraction
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Matrix dimensions
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Matrix transpose
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Model situations by combining functions using arithmetic operations
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Model situations by composing functions
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Modeling with combined functions
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Modeling with composite functions
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Modeling with exponential functions
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Modeling with one-variable equations and inequalities
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Multiply and divide advanced rational expressions
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Multiply and divide rational expressions with monomial numerators and denominators
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Multiply and divide rational expressions with polynomial numerators and denominators
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Multiply complex numbers by real or imaginary numbers
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Multiply monomials by polynomials
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Multiplying a matrix by a matrix
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Multiplying and dividing rational expressions 1
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Multiplying and dividing rational expressions 2
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Multiplying and dividing rational expressions 3
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Multiplying and dividing rational expressions 4
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Multiplying and dividing rational expressions 5
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Multiplying binomials 2
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Multiplying binomials by polynomials
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Multiplying complex numbers
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Multiplying polynomials
P
R
S
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Scalar matrix multiplication
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Shift and scale parabolas
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Shift functions
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Shifting and reflecting functions
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Simplify numerical radical expressions with multiple terms
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Simplify powers of the imaginary unit
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Simplify rational expressions by canceling binomial factors
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Simplify rational expressions by canceling monomial factors
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Simplify rational expressions using advanced factorization methods
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Simplify square roots of negative numbers
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Simplifying rational expressions 2
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Simplifying rational expressions 3
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Simplifying rational expressions 4
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Simplifying rational expressions with exponent properties
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Single-step simplification of rational exponent expressions
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Solutions to quadratic equations
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Solve equations with one rational expression (advanced)
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Solve equations with one rational expression (basic)
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Solve equations with two rational expressions
