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EOC ALEKS Pre-Calculus

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Solving a basic trigonometric equation involving tangent, cotangent, secant
Solving a basic trigonometric equation involving sine or cosine
Solving a basic trigonometric equation using a calculator
Finding solutions in an interval for a basic tangent, cotangent, secant, or
Finding solutions in an interval for a basic equation involving sine or cos
Product-to-sum and sum-to-product identities - Problem type 1
Half-angle identities - Problem type 2
Half-angle identities - Problem type 1
Power-reducing identities
Double-angle identities - Problem type 2
Double-angle identities - Problem type 1
Sum and difference identities - Problem type 3
Sum and difference identities - Problem type 2
Sum and difference identities - Problem type 1
Verifying a trigonometric identity
Using cofunction identities
Simplifying trigonometric expressions
Composition of a trigonometric function with its inverse trigonometric func
Values of inverse trigonometric functions
Matching graphs and equations for secant, cosecant, tangent, and cotangent
Domains and ranges of trigonometric functions
Word problem involving a sine or cosine function - Problem type 2
Amplitude, period, and phase shift of sine and cosine functions
Amplitude and period of sine and cosine functions
Sketching the graph of y= a sin(bx) plus d or y= a cos(bx) plus d
Sketching the graph of y= a sin(x plus c) or y= a cos(x plus c)
Sketching the graph of y= a sin(x) or y= a cos(x)
Reference angles - Problem type 2
Using a trigonometric ratio to find an angle measure in a right triangle
Using a trigonometric ratio to find a side length in a right triangle
Even and odd properties of trigonometric functions
Evaluating expressions involving sine and cosine
Trigonometric functions and special angles - Problem type 3
Trigonometric functions and special angles - Problem type 2
Finding trigonometric ratios from a point on the unit circle
Trigonometric functions and special angles - Problem type 1
Finding coordinates on the unit circle for special angles
Coterminal angles
Sketching an angle in standard position
Converting between degree and radian measure - Problem type 2
Converting between degree and radian measure - Problem type 1
Finding half-life or doubling time
Finding the final amount in a word problem on continuous compound interest
Finding the time given an exponential function with base e that models a re
Finding the time in a word problem on compound interest
Finding the time to reach a limit in a word problem on exponential growth o
Solving an exponential equation by using logarithms - Exact answers in loga
Solving an exponential equation by using logarithms - Decimal answers, adva
Solving an exponential equation by using natural logarithms - Decimal answe
Solving an exponential equation by finding common bases - Linear exponents
Solving an equation involving logarithms on both sides - Problem type 1
Solving a multi-step equation involving natural logarithms
Solving a multi-step equation involving a single logarithm - Problem type 2
Solving a multi-step equation involving a single logarithm - Problem type 1
Change of base for logarithms - Problem type 1
Writing an expression as a single logarithm
Expanding a logarithmic expression - Problem type 2
Expanding a logarithmic expression - Problem type 1
Using properties of logarithms to evaluate expressions
Basic properties of logarithms
The graph, domain, and range of a logarithmic function
Graphing a logarithmic function - Basic
Solving an equation of the form logba equals c
Evaluating logarithmic expressions
Converting between natural logarithmic and exponential equations
Converting between logarithmic and exponential equations
Using a calculator to evaluate natural and common logarithmic expressions
Introduction to compound interest
Using a calculator to evaluate exponential expressions involving base e
Evaluating an exponential function that models a real-world situation
Using a calculator to evaluate exponential expressions
Graphing an exponential function and its asymptote - f of x equals a times
The graph, domain, and range of an exponential function
Graphing an exponential function and its asymptote - f of x equals b to the
Graphing an exponential function and its asymptote - f of x = a times b to
Graphing an exponential function and its asymptote - f of x equals b to the
Table for an exponential function
Solving a polynomial inequality - Problem type 4
Solving a polynomial inequality - Problem type 2
Solving a quadratic inequality
Graphing rational functions with holes
Graphing a rational function - Quadratic over linear
Transforming the graph of a rational function
Graphing a rational function - Linear over linear
Graphing a rational function - Constant over linear
Finding the asymptotes of a rational function - Quadratic over linear
Finding horizontal and vertical asymptotes of a rational function - Quadrat
Finding the asymptotes of a rational function - Linear over linear
Finding the asymptotes of a rational function - Constant over linear
Finding the intercepts, asymptotes, domain, and range from the graph of a r
Using the rational zeros theorem to find all zeros of a polynomial - Comple
Using a given zero to write a polynomial as a product of linear factors - C
Finding a polynomial of a given degree with given zeros - Complex zeros
Multiplying expressions involving complex conjugates
Using a graphing calculator to find zeros of a polynomial function
Using the rational zeros theorem to find all zeros of a polynomial - Irrati
Using a given zero to write a polynomial as a product of linear factors - R
The Factor Theorem
Using the remainder theorem to evaluate a polynomial
Synthetic division
Polynomial long division - Problem type 3
Using a graphing calculator to find local extrema of a polynomial function
Determining end behavior and intercepts to graph a polynomial function
Determining the end behavior of the graph of a polynomial function
Finding x- and y-intercepts given a polynomial function
Finding a polynomial of a given degree with given zeros - Real zeros
Finding zeros and their multiplicities given a polynomial function written
Word problem involving optimizing area by using a quadratic function
Word problem involving the maximum or minimum of a quadratic function
Finding the maximum or minimum of a quadratic function
Rewriting a quadratic function to find its vertex and sketch its graph
Using a graphing calculator to find the x-intercept(s) and vertex of a quad
Finding the x-intercepts and the vertex of a parabola
Writing a quadratic function given its zeros
Using a graphing calculator to find the zeros of a quadratic function
Finding the zeros of a quadratic function given its equation
Graphing the inverse of a function given its graph
Inverse functions - Rational
Inverse functions - Cubic, cube root
Inverse functions - Quadratic, square root
Determining whether two functions are inverses of each other
Horizontal line test
Composition of two rational functions
Composition of two functions - Advanced
Expressing a function as a composition of two functions
Composition of two functions - Basic
Combining functions - Advanced
Quotient of two functions - Advanced
Sum, difference, and product of two functions
Writing an equation for a function after a vertical and horizontal translat
Transforming the graph of a function by shrinking or stretching
Transforming the graph of a function by reflecting over an axis
Translating the graph of a function - Two steps
Writing an equation for a function after a vertical translation
How the leading coefficient affects the shape of a parabola
Translating the graph of a parabola - Two steps
Word problem involving average rate of change
Finding the average rate of change of a function given its graph
Finding the average rate of change of a function
Even and odd functions - Problem type 2
Even and odd functions - Problem type 1
Graphing a piecewise-defined function - Problem type 3
Matching parent graphs with their equations
Graphing a square root function - Problem type 2
Graphing a parabola of the form y equals x minus h squared plus k
Graphing a function of the form f of x equals ax-squared plus c
Graphing a function of the form f of x equals ax-squared
Finding values and intervals where the graph of a function is zero, positiv
Finding the absolute maximum and minimum of a function given the graph
Finding local maxima and minima of a function given the graph
Finding where a function is increasing, decreasing, or constant given the g
Domain and range from the graph of a piecewise function
Finding inputs and outputs of a function from its graph
Finding a difference quotient for a rational function
Finding a difference quotient for a linear or quadratic function
Determining whether an equation defines a function - Advanced
Domain of a rational function - Interval notation
Domain of a rational function - Excluded values
Variable expressions as inputs of functions - Problem type 3
Evaluating a piecewise-defined function
Evaluating functions - Absolute value, rational, radical
Vertical line test
Solving a system of linear equations using elimination with multiplication
Writing an equation and drawing its graph to model a real-world situation -
Writing and evaluating a function that models a real-world situation - Adva
Writing equations of lines parallel and perpendicular to a given line throu
Writing the equation of the line through two given points
Writing an equation in slope-intercept form given the slope and a point
Determining if graphs have symmetry with respect to the x-axis, y-axis, or
Finding x- and y-intercepts of the graph of a nonlinear equation
Finding intercepts of a nonlinear function given its graph
Solving an equation that can be written in quadratic form - Problem type 1
Solving an equation with a root index greater than 2 - Problem type 2
Solving a radical equation that simplifies to a quadratic equation - One ra
Solving a radical equation that simplifies to a linear equation - Two radic
Solving a radical equation that simplifies to a linear equation - One radic
Solving a word problem using a quadratic equation with irrational roots
Discriminant of a quadratic equation
Solving a quadratic equation with complex roots
Applying the quadratic formula - Exact answers
Solving a quadratic equation by completing the square - Exact answers
Finding the roots of a quadratic equation with leading coefficient greater
Finding the roots of a quadratic equation of the form ax2 plus bx equals 0
Dividing complex numbers
Multiplying complex numbers
Adding or subtracting complex numbers
Using i to rewrite square roots of negative numbers
Solving for a variable in terms of other variables in a rational equation -
Solving a rational equation that simplifies to linear - Unlike binomial den
Solving a linear inequality with multiple occurrences of the variable - Pro
Set builder and interval notation
Solving a word problem with two unknowns using a linear equation
Translating a sentence into a multi-step equation
Solving for a variable in terms of other variables in a linear equation wit
Solving a linear equation with several occurrences of the variable - Fracti
Rationalizing a denominator using conjugates - Integer numerator
Rationalizing a denominator - Quotient involving square roots
Simplifying a product involving square roots using the distributive propert
Square root multiplication: Advanced
Square root multiplication - Basic
Simplifying the square root of a whole number less than 100
Rational exponents - Negative exponents and fractional bases
Rational exponents - Non-unit fraction exponent with a whole number base
Complex fraction made of sums involving rational expressions - Problem type
Complex fraction - GCF factoring
Complex fraction involving univariate monomials
Complex fraction without variables - Problem type 2
Adding rational expressions with linear denominators without common factors
Adding rational expressions with denominators ax and bx - Advanced
Multiplying rational expressions involving quadratics with leading coeffici
Simplifying a ratio of polynomials using GCF factoring
Factoring a product of a quadratic trinomial and a monomial
Factoring a quadratic with leading coefficient greater than 1 - Problem typ
Factoring a quadratic with leading coefficient 1
Factoring out a binomial from a polynomial - GCF factoring, basic
Greatest common factor of two multivariate monomials
Squaring a binomial - Multivariate
Multiplying conjugate binomials - Univariate
Power rules with negative exponents
Rewriting an algebraic expression without a negative exponent
Quotient of expressions involving exponents
Power rules with positive exponents - Multivariate quotients
Product rule with positive exponents - Multivariate
Exponential and Logarithmic Functions
Trigonometric Functions
Reference angles - Problem type 1
Trigonometric Identities and Equations
Algebra Review
Factoring a difference of squares in one variable - Advanced
Equations and Inequalities
Graphs and Functions
Polynomial and Rational Functions

EOC ALEKS Pre-Calculus

Home
Solving a basic trigonometric equation involving tangent, cotangent, secant
Solving a basic trigonometric equation involving sine or cosine
Solving a basic trigonometric equation using a calculator
Finding solutions in an interval for a basic tangent, cotangent, secant, or
Finding solutions in an interval for a basic equation involving sine or cos
Product-to-sum and sum-to-product identities - Problem type 1
Half-angle identities - Problem type 2
Half-angle identities - Problem type 1
Power-reducing identities
Double-angle identities - Problem type 2
Double-angle identities - Problem type 1
Sum and difference identities - Problem type 3
Sum and difference identities - Problem type 2
Sum and difference identities - Problem type 1
Verifying a trigonometric identity
Using cofunction identities
Simplifying trigonometric expressions
Composition of a trigonometric function with its inverse trigonometric func
Values of inverse trigonometric functions
Matching graphs and equations for secant, cosecant, tangent, and cotangent
Domains and ranges of trigonometric functions
Word problem involving a sine or cosine function - Problem type 2
Amplitude, period, and phase shift of sine and cosine functions
Amplitude and period of sine and cosine functions
Sketching the graph of y= a sin(bx) plus d or y= a cos(bx) plus d
Sketching the graph of y= a sin(x plus c) or y= a cos(x plus c)
Sketching the graph of y= a sin(x) or y= a cos(x)
Reference angles - Problem type 2
Using a trigonometric ratio to find an angle measure in a right triangle
Using a trigonometric ratio to find a side length in a right triangle
Even and odd properties of trigonometric functions
Evaluating expressions involving sine and cosine
Trigonometric functions and special angles - Problem type 3
Trigonometric functions and special angles - Problem type 2
Finding trigonometric ratios from a point on the unit circle
Trigonometric functions and special angles - Problem type 1
Finding coordinates on the unit circle for special angles
Coterminal angles
Sketching an angle in standard position
Converting between degree and radian measure - Problem type 2
Converting between degree and radian measure - Problem type 1
Finding half-life or doubling time
Finding the final amount in a word problem on continuous compound interest
Finding the time given an exponential function with base e that models a re
Finding the time in a word problem on compound interest
Finding the time to reach a limit in a word problem on exponential growth o
Solving an exponential equation by using logarithms - Exact answers in loga
Solving an exponential equation by using logarithms - Decimal answers, adva
Solving an exponential equation by using natural logarithms - Decimal answe
Solving an exponential equation by finding common bases - Linear exponents
Solving an equation involving logarithms on both sides - Problem type 1
Solving a multi-step equation involving natural logarithms
Solving a multi-step equation involving a single logarithm - Problem type 2
Solving a multi-step equation involving a single logarithm - Problem type 1
Change of base for logarithms - Problem type 1
Writing an expression as a single logarithm
Expanding a logarithmic expression - Problem type 2
Expanding a logarithmic expression - Problem type 1
Using properties of logarithms to evaluate expressions
Basic properties of logarithms
The graph, domain, and range of a logarithmic function
Graphing a logarithmic function - Basic
Solving an equation of the form logba equals c
Evaluating logarithmic expressions
Converting between natural logarithmic and exponential equations
Converting between logarithmic and exponential equations
Using a calculator to evaluate natural and common logarithmic expressions
Introduction to compound interest
Using a calculator to evaluate exponential expressions involving base e
Evaluating an exponential function that models a real-world situation
Using a calculator to evaluate exponential expressions
Graphing an exponential function and its asymptote - f of x equals a times
The graph, domain, and range of an exponential function
Graphing an exponential function and its asymptote - f of x equals b to the
Graphing an exponential function and its asymptote - f of x = a times b to
Graphing an exponential function and its asymptote - f of x equals b to the
Table for an exponential function
Solving a polynomial inequality - Problem type 4
Solving a polynomial inequality - Problem type 2
Solving a quadratic inequality
Graphing rational functions with holes
Graphing a rational function - Quadratic over linear
Transforming the graph of a rational function
Graphing a rational function - Linear over linear
Graphing a rational function - Constant over linear
Finding the asymptotes of a rational function - Quadratic over linear
Finding horizontal and vertical asymptotes of a rational function - Quadrat
Finding the asymptotes of a rational function - Linear over linear
Finding the asymptotes of a rational function - Constant over linear
Finding the intercepts, asymptotes, domain, and range from the graph of a r
Using the rational zeros theorem to find all zeros of a polynomial - Comple
Using a given zero to write a polynomial as a product of linear factors - C
Finding a polynomial of a given degree with given zeros - Complex zeros
Multiplying expressions involving complex conjugates
Using a graphing calculator to find zeros of a polynomial function
Using the rational zeros theorem to find all zeros of a polynomial - Irrati
Using a given zero to write a polynomial as a product of linear factors - R
The Factor Theorem
Using the remainder theorem to evaluate a polynomial
Synthetic division
Polynomial long division - Problem type 3
Using a graphing calculator to find local extrema of a polynomial function
Determining end behavior and intercepts to graph a polynomial function
Determining the end behavior of the graph of a polynomial function
Finding x- and y-intercepts given a polynomial function
Finding a polynomial of a given degree with given zeros - Real zeros
Finding zeros and their multiplicities given a polynomial function written
Word problem involving optimizing area by using a quadratic function
Word problem involving the maximum or minimum of a quadratic function
Finding the maximum or minimum of a quadratic function
Rewriting a quadratic function to find its vertex and sketch its graph
Using a graphing calculator to find the x-intercept(s) and vertex of a quad
Finding the x-intercepts and the vertex of a parabola
Writing a quadratic function given its zeros
Using a graphing calculator to find the zeros of a quadratic function
Finding the zeros of a quadratic function given its equation
Graphing the inverse of a function given its graph
Inverse functions - Rational
Inverse functions - Cubic, cube root
Inverse functions - Quadratic, square root
Determining whether two functions are inverses of each other
Horizontal line test
Composition of two rational functions
Composition of two functions - Advanced
Expressing a function as a composition of two functions
Composition of two functions - Basic
Combining functions - Advanced
Quotient of two functions - Advanced
Sum, difference, and product of two functions
Writing an equation for a function after a vertical and horizontal translat
Transforming the graph of a function by shrinking or stretching
Transforming the graph of a function by reflecting over an axis
Translating the graph of a function - Two steps
Writing an equation for a function after a vertical translation
How the leading coefficient affects the shape of a parabola
Translating the graph of a parabola - Two steps
Word problem involving average rate of change
Finding the average rate of change of a function given its graph
Finding the average rate of change of a function
Even and odd functions - Problem type 2
Even and odd functions - Problem type 1
Graphing a piecewise-defined function - Problem type 3
Matching parent graphs with their equations
Graphing a square root function - Problem type 2
Graphing a parabola of the form y equals x minus h squared plus k
Graphing a function of the form f of x equals ax-squared plus c
Graphing a function of the form f of x equals ax-squared
Finding values and intervals where the graph of a function is zero, positiv
Finding the absolute maximum and minimum of a function given the graph
Finding local maxima and minima of a function given the graph
Finding where a function is increasing, decreasing, or constant given the g
Domain and range from the graph of a piecewise function
Finding inputs and outputs of a function from its graph
Finding a difference quotient for a rational function
Finding a difference quotient for a linear or quadratic function
Determining whether an equation defines a function - Advanced
Domain of a rational function - Interval notation
Domain of a rational function - Excluded values
Variable expressions as inputs of functions - Problem type 3
Evaluating a piecewise-defined function
Evaluating functions - Absolute value, rational, radical
Vertical line test
Solving a system of linear equations using elimination with multiplication
Writing an equation and drawing its graph to model a real-world situation -
Writing and evaluating a function that models a real-world situation - Adva
Writing equations of lines parallel and perpendicular to a given line throu
Writing the equation of the line through two given points
Writing an equation in slope-intercept form given the slope and a point
Determining if graphs have symmetry with respect to the x-axis, y-axis, or
Finding x- and y-intercepts of the graph of a nonlinear equation
Finding intercepts of a nonlinear function given its graph
Solving an equation that can be written in quadratic form - Problem type 1
Solving an equation with a root index greater than 2 - Problem type 2
Solving a radical equation that simplifies to a quadratic equation - One ra
Solving a radical equation that simplifies to a linear equation - Two radic
Solving a radical equation that simplifies to a linear equation - One radic
Solving a word problem using a quadratic equation with irrational roots
Discriminant of a quadratic equation
Solving a quadratic equation with complex roots
Applying the quadratic formula - Exact answers
Solving a quadratic equation by completing the square - Exact answers
Finding the roots of a quadratic equation with leading coefficient greater
Finding the roots of a quadratic equation of the form ax2 plus bx equals 0
Dividing complex numbers
Multiplying complex numbers
Adding or subtracting complex numbers
Using i to rewrite square roots of negative numbers
Solving for a variable in terms of other variables in a rational equation -
Solving a rational equation that simplifies to linear - Unlike binomial den
Solving a linear inequality with multiple occurrences of the variable - Pro
Set builder and interval notation
Solving a word problem with two unknowns using a linear equation
Translating a sentence into a multi-step equation
Solving for a variable in terms of other variables in a linear equation wit
Solving a linear equation with several occurrences of the variable - Fracti
Rationalizing a denominator using conjugates - Integer numerator
Rationalizing a denominator - Quotient involving square roots
Simplifying a product involving square roots using the distributive propert
Square root multiplication: Advanced
Square root multiplication - Basic
Simplifying the square root of a whole number less than 100
Rational exponents - Negative exponents and fractional bases
Rational exponents - Non-unit fraction exponent with a whole number base
Complex fraction made of sums involving rational expressions - Problem type
Complex fraction - GCF factoring
Complex fraction involving univariate monomials
Complex fraction without variables - Problem type 2
Adding rational expressions with linear denominators without common factors
Adding rational expressions with denominators ax and bx - Advanced
Multiplying rational expressions involving quadratics with leading coeffici
Simplifying a ratio of polynomials using GCF factoring
Factoring a product of a quadratic trinomial and a monomial
Factoring a quadratic with leading coefficient greater than 1 - Problem typ
Factoring a quadratic with leading coefficient 1
Factoring out a binomial from a polynomial - GCF factoring, basic
Greatest common factor of two multivariate monomials
Squaring a binomial - Multivariate
Multiplying conjugate binomials - Univariate
Power rules with negative exponents
Rewriting an algebraic expression without a negative exponent
Quotient of expressions involving exponents
Power rules with positive exponents - Multivariate quotients
Product rule with positive exponents - Multivariate
Exponential and Logarithmic Functions
Trigonometric Functions
Reference angles - Problem type 1
Trigonometric Identities and Equations
Algebra Review
Factoring a difference of squares in one variable - Advanced
Equations and Inequalities
Graphs and Functions
Polynomial and Rational Functions
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Factoring out a binomial from a polynomial - GCF factoring, basic

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