Algebra II and Trigonometry

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) Rational Expressions a. Multiplying Rational Expressions (Easier) (Requires Factoring!) b. Multiplying Rational Expressions (Harder) (Requires Factoring!) c. Dividing Rational Expressions (Easier) (Requires Factoring!) d. Dividing Rational Expressions (Harder) (Requires Factoring!) e. Adding Rational Expressions(Easier) (Requires Factoring!) f. Adding Rational Expressions (Harder) (Requires Factoring!) g. Subtracting Rational Expressions(Easier) (Requires Factoring!) h. Subtracting Rational Expressions (Harder) (Requires Factoring!) i. Mixed Rational Expressions (Multiple Operations with simplify)(Easier) (Requires Factoring!) j. Mixed Rational Expressions (Multiple Operations with simplify) (Harder) (Requires Factoring!) (Random) Radical Expressions a. Simplifying Radical Expressions (Numbers Only) b. Adding Radical Expressions (Numbers Only) c. Subtracting Radical Expressions (Numbers Only) d. Multiplying Radical Expressions (Numbers Only) e. Dividing Radical Expressions (Numbers Only) f. Simplifying Combinations of Radical Expressions (Multiple Operations -- Numbers Only) g. Simplifying Radical Expressions (Includes Variables) (Requires some factoring) h. Adding Radical Expressions (Includes Variables) (Requires some factoring) i. Subtracting Radical Expressions (Includes Variables) (Requires some factoring) j. Multiplying Radical Expressions (Includes Variables) k. Dividing Radical Expressions (Includes Variables & Requires Rationalizing Denominators) (Random) Radical And Rational a. Converting Radicals to Exponents (Rationals) b. Converting Exponents (Rationals) to Radicals (Random) Factoring Polynomials a. Factoring: Pulling out the GCF b. Factoring Trinomials (a=1) (Grid Factoring Video) c. Factoring Trinomials (a>1) (Grid Factoring Video) d. Factoring: Difference of Squares e. Factoring: Perfect Square Trinomials f. Factoring: Sum and Difference of Cubes g. Factoring: Group Factorable h. Factoring: Combination -- Hard Factorable (Random) Sequences and Series a. Identifying Arithmetic/Geometry Sequences b. Writing the first n terms of an Arithmetic Sequence c. Defining an Arithmetic Sequence with Recursion d. Finding the n^th term formula for an Arithmetic Sequence e. Finding Arithmetic Means f. Evaluating Summations of Arithmetic Series (Number Arches Video) g. Writing the first n terms of a Geometric Sequence h. Defining a Geometric Sequence with Recursion i. Finding the n^th term formula for a Geometric Sequence j. Finding Geometric Means k. Evaluating Finite Summations of Geometric Series l. Evaluating Infinite Summations of Geometric Series (Random) Complex Numbers a. Fixing Radicals into Imaginary Numbers b. Adding Complex Numbers c. Subtracting Complex Numbers d. Multiplying Complex Numbers e. Dividing Complex Numbers f. Simplifying iⁿ (Random) Absolute Value a. Solving Absolute Value Equations (1 variable) b. Reading Absolute Value Graphs (1 variable) c. Solving Absolute Value Inequalities (1 variable) d. Reading Absolute Value Inequality Graphs (1 variable) e. Graphing an Absolute Value Equation (2 variables) f. Reading Absolute Value Graph (2 variables) g. Verifying Solutions of Absolute Value Inequality (1 variable) h. Verifying Solutions of Absolute Value Inequality (2 variables) (Random) Quadratic Equations a. Identifying the Number of Solutions of a Quadratic Using the Discriminant b. Solving Quadratics By The Square-Root Method c. Solving Quadratics by Graphing d. Solving Quadratics by Factoring e. Solving Quadratics by Completing the Square f. Solving Quadratics with the Quadratic Formula (Real Solutions) g. Solving Quadratics that have Imaginary Solutions h. Solving Quadratics (both imaginary and real solutions) (Random) Rationals and Radical Equations a. Solving Equations with Rational Expressions b. Solving Equations with Radical Expressions c. Word Problems of Radical Expressions (Random) NonLinear Systems a. Solving Nonlinear Systems of Equations using Linear Combination b. Solving Nonlinear Systems of Equations using Substitution c. Solving Nonlinear Systems of Equations using Graphing (Random) Transformations of Functions a. Writing the Equation of a Basic Function from a Graph (Parabola, Line, Absolute Value, etc) b. Writing the Equation of a Basic Function from a Table (Parabola, Line, Absolute Value, etc) c. Describing the Transformation of a Basic Function d. Writing the Equation of a Transformed Function (Random) Analyzing Functions a. Finding Domains of Functions b. Finding Ranges of Functions c. Finding Zeros of Functions d. Finding X and Y-Intercepts of Functions e. Finding areas of Increasing or Decreasing for Functions f. Finding Equations of Vertical Asymptotes of Rational Functions g. Finding Equations of Horizontal Asymptotes of Rational Functions h. Describing End Behavior of Polynomials i. Finding Inverses of Functions j. Finding Composition of Functions k. Finding Values of Functions l. Using Composition of Functions to Identify Inverse Functions	(Random) Solutions, Zeros, and X-Intercepts a. Finding Zeros of a Polynomial b. Graphing a Polynomial c. Finding zeros of a Polynomial from a Graph d. Finding the X-Intercepts of a Polynomial e. Finding a Polynomial equation from Zeros (Random) Curve of Best Fit a. Finding the Best Fit Line from a Data Set or a Scatterplot b. Identifying the Best Fit Equation type from a Data Set or a Scatterplot c. Identifying the Slope from a Data Set or Scatterplot d. Identifying the Correlation e. Predicting a Value according to a Data Set or Scatterplot f. Finding the Best Fit Curve from a Data Set (Random) Variation a. Identifying Direct Variation b. Identifying Inverse Variation c. Identifying Variation of a Graph d. Setting up and Solving Inverse Variation Problems e. Setting up and Solving Direct Variation Problems f. Setting up and Solving Joint Variation Problems g. Direct Variation and Inverse Variation Word Problems (Random) Normal Distributions a. Properties of Normal and Standard Normal Distributions and the Empirical Rule 68-95-99.7 b. Finding the Z-Score c. Using Tables of the Normal Distribution (given z-score) d. Using Tables of the Normal Distribution (given a sample piece of data) e. Using Tables of the Normal Distribution (given probability) f. Comparing Two Normal Curves (with Z-Scores) (Random) Permutations and Combinations a. Identifying Permutations and Combinations b. Calculating Permutations (And other cases where order matters) c. Calculating Combinations d. Calculating Rearrangements of Words (Random) Trigonometric Definitions a. Define the six triangular trigonometric functions of an angle in a right triangle. b. Define the six circular trigonometric functions of an angle in standard position. c. Make the connection between the triangular and circular trigonometric functions. d. Recognize and draw an angle in standard position. e. Show how a point on the terminal side of an angle determines a reference triangle. f. Find angles that are coterminal with a given angle. g. Using the Unit Circle and Arc Length to see Radians. h. Finding the Reference Angle i. Finding Trigonometric Functions given coordinates on a Unit Circle j. Converting from Radians to Degrees k. Converting from Degrees to Radians l. Converting from Degrees Minutes and Seconds to Degrees m. Converting from Degrees to Degrees Minutes and Seconds (Random) Relating Trigonometric Functions a. Given one trigonometric function value, find the other five trigonometric function values. (Random) Special Angles a. Finding Trigonometric Functions of Special Angles (Degrees) b. Finding Trigonometric Functions of Special Angles (Radians) (Random) Inverse Trigonometric Functions a. Use a calculator to find the trigonometric function values of any angle in either degrees or radians. b. Define inverse trigonometric functions. c. Find angle measures by using the inverse trigonometric functions when the trigonometric function values are given. (Random) Trigonometric Identities a. Simplifying Pythagorean Identities b. Verifying Pythagorean Identities c. Simplifying Basic Trigonometric Identities d. Verifying Basic Trigonometric Identities e. Simplifying Harder Basic Trigonometric Identities f. Verifying Harder Basic Trigonometric Identities g. Verifying Identities involving Double/Half Angle Formulas h. Applying Sum/Difference Formulas (Random) Graphing Trigonometric Functions a. Basic Facts and Graphs of parent Trigonometric Functions b. Determining Amplitude in Graph and Equation c. Writing Equations of Amplitude and Vertical Stretch Changes d. Sketching Graphs with Amplitude Changes, Vertical Stretches, and Vertical Flips e. Determining Period in Graph and Equation f. Writing Equations of Period Changes g. Sketching Graphs with Period Changes h. Determining Phase Shift in Graph and Equation i. Writing Equations of Phase Shift Changes j. Sketching Graphs with Phase Shift Changes k. Determining Vertical Shift in Graph and Equation l. Writing Equations of Vertical Shift Changes m. Sketching Graphs with Vertical Shift Changes n. Sketch the Graph of a Trigonometric Function o. Writing Equations of Trigonometric Functions From Graphs (Random) Graphing Inverses a. Finding Domain and Range of Trig and Inverse Trig Functions b. Evaluate expressions involving composite inverse functions. c. Graph inverse trigonometric functions. (Random) Trigonometric Equations a. Solving Trigonometric Equations with Restricted Domains b. Solving Trigonometric Equations with Infinite Solutions (Random) Law of Sines and Cosines a. Finding the Number of Solutions in Angle-Side-Side Case b. Using the Law of Sines c. Using the Law of Cosines d. Solving Triangle Word Problems e. Finding Area using Sine f. Finding Area using Heron's Formula
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