Virginia Basic Algebra II

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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) AII.1 Expressions and Operations: Polynomials a. Classifying Polynomials by Degree b. Classifying Polynomials by Number of Terms c. Adding Polynomials d. Subtracting Polynomials e. Multiplying Monomials (includes negative exponents) f. Dividing Monomials (includes negative exponents) g. Multiplying and Dividing Monomials (includes negative exponents) h. Multiplying Polynomials i. Dividing Polynomials (Requires Factoring!) j. Mixed Polynomial Expressions (Multiple Operations) (Requires Factoring!) k. Adding/Subtracting Monomials Rational Expressions (Random) AII.1 Expressions and Operations: Factoring 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 i. Identifying Trinomial Factors in Difference of Cubes j. Possible Factoring Coefficients (Random) AII.1 Expressions and Operations: Rational Expressions a. Multiplying Rational Expressions (Easier) b. Multiplying Rational Expressions (Harder) (Requires Factoring!) c. Dividing Rational Expressions (Easier) d. Dividing Rational Expressions (Harder) (Requires Factoring!) e. Adding Rational Expressions(Easier) f. Adding Rational Expressions (Harder) (Requires Factoring!) g. Subtracting Rational Expressions(Easier) h. Subtracting Rational Expressions (Harder) (Requires Factoring!) i. Mixed Rational Expressions (Multiple Operations with simplify)(Easier) (Requires Factoring GCF!) j. Mixed Rational Expressions (Multiple Operations with simplify) (Harder) (Requires Factoring!) k. Domain of Rational Functions (Random) AII.1 Expressions and Operations: 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) l. Converting Radicals to Exponents (Rationals) m. Converting Exponents (Rationals) to Radicals n. Domain and Range of Radical Functions o. Identifying the Radical Conjugate (Random) AII.2 Expressions and Operations: Complex Numbers and Properties a. Fixing Radicals into Imaginary Numbers b. Adding Complex Numbers c. Subtracting Complex Numbers d. Addition/Subtraction with Complex Numbers in Radical Form e. Multiplying Complex Numbers f. Dividing Complex Numbers g. Simplifying iⁿ h. Proofs with Complex Numbers (Simplifying) i. Identifying the Complex Conjugate (Random) AII.3 Equations and Inequalities: Solving Absolute Value Equations 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. Verifying Solutions of Absolute Value Inequality (1 variable) f. Graphing an Absolute Value Equation (2 variables) g. Reading Absolute Value Graph (2 variables) h. Verifying Solutions of Absolute Value Inequality (2 variables) (Random) AII.3 Equations and Inequalities: Solving 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) i. Solving Quadratic Equations in Vertex form (Random) AII.3 Equations and Inequalities: Solving Radical/Rational Equations a. Solving Equations with Rational Expressions b. Solving Equations with Radical Expressions c. Word Problems of Radical Expressions (Random) AII.4 Equations and Inequalities: Nonlinear Systems of Equations 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) AII.5 Functions: 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) AII.6 Functions: Shapes And Transformations 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 e. Identifying the degree of the polynomial f. Identifying the function graph (exponential / logarithmic / polynomial / absolute value / etc) g. Graphing Piecewise Functions h. Identifying Equations (from charts, sets, and scatterplots) (Random) AII.7 Functions: Logs a. Identifying the Base b. Logarithmic to Exponential c. Exponential to Logarithmic d. Evaluating Logs (by hand) e. Expanding Expressions (easier) f. Expanding Expressions (harder) g. Contracting Expressions (easier) h. Contracting Expressions (harder) i. Solving Equations with Logs j. Evaluating Logs using the Change of Base Formula k. Finding Inverses l. Domain and Range of Logarithmic Functions m. Asymptotes of Logarithmic Functions (Random) AII.7 Functions: Analyzing Functions a. Finding Domains of Functions b. Finding Ranges of Functions c. Finding Domain of Piecewise Functions d. Finding Range of Piecewise Functions e. Finding Zeros of Functions f. Finding Inverses of Functions g. Finding Composition of Functions h. Composition of Function Word Problems i. Using Composition of Functions to Identify Inverse Functions j. Finding Values of Functions k. Finding areas of Increasing or Decreasing for Functions l. Describing End Behavior of Polynomials m. Finding X and Y-Intercepts of Functions n. Finding Equations of Vertical Asymptotes of Rational Functions o. Finding Equations of Horizontal Asymptotes of Rational Functions p. Identifying Continuity in Graphs q. Finding Points of Discontinuity (Graphs) r. Finding Points of Discontinuity (Expressions) (Random) AII.8 Functions: Solutions, Zeros, X-Intercepts and Factors 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 f. Determining Number of Solutions for Absolute Value and Radical Equations (Random) AII.9 Statistics: Curves 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. Finding the Best Fit Curve from a Data Set d. Identifying the Slope from a Data Set or Scatterplot e. Identifying the Correlation f. Predicting a Value according to a Data Set or Scatterplot (Random) AII.10 Statistics: 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 h. Finding the Constant of Variation i. Identifying Direct and Inverse Variation Situations (Random) AII.11 Statistics: 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) g. Using Tables of Normal Distributions For actual values (not probabilities) h. Finding Standard Deviation (σ) i. Finding a Z-Score j. Finding a piece of data given the z-score k. Finding the Mean Absolute Deviation (MAD) l. Comparing the Mean Absolute Deviation and Standard Deviation m. Using Tables of Normal Distributions For actual values (not probabilities) (Random) AII.12 Statistics: 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
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