This is a bundle of Algebra 2/Pre Calculus warm-ups/bell-ringers/exit/entrance tickets/do-nows/mini quizzes/mini homework for the entire year. Each of warm-ups is a half-sheet in size and contains from 2 to 10 problems.
So far the bundle covers the following topics:
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Polynomial Equations with Real Roots
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Dividing Polynomials with Long Division
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Evaluating Polynomials Using Horner’s Rule
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Factoring Polynomials (Using Horner’s Rule and Finding the Zeros)
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Forming Polynomials Given the Roots
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Polynomial Equations with Complex Roots
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Polynomial Equations in Factored Form
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Polynomial Inequalities in Factored Form
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Polynomial Inequalities in Standard Form
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Partial Fraction Decomposition
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Axis and Vertex of a Quadratic Function
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Vertex Form of a Quadratic Function
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Domain and Range of a Quadratic Function
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X- and Y- Intercepts of a Quadratic Function
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Monotonicity Intervals of a Quadratic Function
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Maximum and Minimum Values of Quadratic Functions
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Nonlinear Systems (Linear-Quadratic)
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Nonlinear Systems (Quadratic-Quadratic)
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Solving Nonlinear Systems Graphically
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Graphing Quadratic Inequalities in Two Variables
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Solving Quadratic Inequalities in One Variable Algebraically
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Graphing Systems of Quadratic Inequalities in Two Variables
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Solving Systems of Quadratic Inequalities in One Variable Algebraically
24.Radical Functions (Domain, Range and Zeros)
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Radical Functions (X- and Y- Intercepts and Inverse Functions)
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Graphing Radical Functions
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Radical Equations with One Radical
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Radical Equations with Two Radicals
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Solving Radical Equations Using a Substitution (Advanced Topic)
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Radical Operations with Higher Indexes
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Simplifying Nth Root with Variables
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Cube Root Equations
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Radical Equations with Higher Indexes
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Rational Exponents
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Equations with Rational Exponents
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Domain and Range of Rational Functions
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Holes of Rational Functions
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X- and Y-Intercepts of Rational Functions
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Asymptotes of Rational Functions
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Graphs of Rational Functions (two warm-ups)
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Simplifying Rational Expressions
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Adding and Subtracting Rational Expressions
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Multiplying and Dividing Rational Expressions
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Operations with Rational Expressions
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Complex Fractions
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Rational Equations (Solving by Using Cross Multiplication)
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Rational Equations
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Rational Inequalities
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Absolute Value of a Complex Number
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Adding and Subtracting Complex Numbers
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Multiplying Complex Numbers
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Dividing Complex Numbers
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Operations with Complex Numbers (Mixed)
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Quadratic Equations with Complex Roots (Square Root Method)
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Quadratic Equations with Complex Roots in Vertex Form
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Quadratic Equations with Complex Roots (Quadratic Formula)
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Determinant of a Matrix
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Adding and Subtracting Matrices, Multiplying a Matrix by a Number
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Multiplying Matrices
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Operations with Matrices (Mixed)
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Inverse Matrices
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Matrix Equations
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Systems of Linear Equations with 3 Variables
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Evaluating Trigonometric Expressions with a Variable
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Evaluating Trig Expressions (No Variables)
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Exact Values of Trig Functions of an Acute Angle
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Simplifying Trig Expressions
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Verifying Trig Identities
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Simplifying and Evaluating Trig Expressions Using the Exact Value of a Trig Function
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Converting Between Radians and Degrees
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Equation of a Circle
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Operations with Functions
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Composition on Functions
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Graphs of Piecewise Functions
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Evaluating Piecewise Functions
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Pascal’s Triangle and the Binomial Theorem
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Graphs of Exponential Equations of type f(x)=a.b^x
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Inverse Functions
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Evaluating Logarithms
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Evaluating Logarithmic Expressions (Inverse Properties of Logarithms)
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Adding and Subtracting Logarithms
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Multiplication of Logarithms
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Change of Base Formula
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Condensing Logarithms
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Expanding Logarithms
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Comparing Logarithms
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Domain of a Logarithmic Function
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Graph and Key Features of a Logarithmic Function
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Logarithmic Equations of type log(base a)f(x)=b
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Logarithmic Equations of Type log(base a)(f(x)=log(base a)(g(x)
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Logarithmic Equations of Type log(base a)f(x)±log(base a)g(x)=b
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Logarithmic Inequalities
Answer keys are included.
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