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Skill | Notes | Videos | Practice |
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Preparing for a Math Test |
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Taking a Math Test |
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PREALGEBRA REVIEW
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| EA-1 |
Performing Operations on Integers |
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| EA-2 |
Performing Operations on Fractions |
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| EA-3 |
Performing Operations on Decimals |
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| EA-4 |
Knowing the Real Number System |
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EXPONENT RULES
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| EA-5 |
Applying the Product Rule |
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| EA-6 |
Applying the Power Rule |
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| EA-7 |
Applying the Distributivity of Exponentiation over Multiplication |
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| EA-8 |
Removing Zero Exponents |
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| EA-9 |
Removing Negative Exponents |
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| EA-10 |
Applying the Quotient Rule |
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| EA-11 |
Applying the Distributivity of Exponentiation over Division |
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| EA-12 |
Applying Combined Rules
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POLYNOMIALS
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| EA-13 |
Identifying and Characterizing Polynomials |
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| EA-14 |
Adding and Subtracting Polynomials |
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| EA-15 |
Multiplying Polynomials |
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| EA-16 |
Multiplying Polynomials |
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| EA-17 |
Dividing Polynomials |
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| EA-18 |
Performing Various Operations on Polynomials |
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POLYNOMIAL FACTORING
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| EA-19 |
Factoring out the Greatest Common Factor |
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| EA-20 |
Factoring by Grouping
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| EA-21 |
Finding Two Numbers that Add to One Number and Multiply to Another (Sum-Product) |
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| EA-22 |
Factoring Quadratic Trinomials with Leading Coefficient of 1 |
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| EA-23 |
Factoring Quadratic Trinomials with Leading Coefficient Different from 1 |
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| EA-24 |
Factoring the Difference of Squares |
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| EA-25 |
Factoring the Sum/Difference of Cubes |
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| EA-26 |
Factoring Strategy |
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| EA-27 |
Factoring Using Combined Techniques |
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RATIONAL EXPRESSIONS
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| EA-28 |
Determining When a Rational Expression is Undefined |
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| EA-29 |
Simplifying Rational Expressions |
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| EA-30 |
Simplifying Rational Expressions Involving Opposite Binomials |
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| EA-31 |
Multiplying Rational Expressions |
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| EA-32 |
Dividing Rational Expressions |
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| EA-33 |
Adding/Subtracting Rational Expressions with the Same Denominator |
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| EA-34 |
Finding the LCM of Monomials |
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| EA-35 |
Finding the LCM of Polynomials |
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| EA-36 |
Adding/Subtracting Rational Expressions with Different Denominators |
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| EA-37 |
Performing Combined Operations on Rational Expressions |
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| EA-38 |
Simplifying Complex Fractions Involving Rational Expressions |
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| EA-39 |
Performing Various Operations on Rational Expressions |
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RADICAL EXPRESSIONS (INDEX 2)
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| EA-40 |
Finding Square Roots of Perfect Squares (Numbers) |
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| EA-41 |
Simplifying Radical Expressions |
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| EA-42 |
Adding/Subtracting Radical Expressions |
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| EA-43 |
Multiplying Radical Expressions |
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| EA-44 |
Dividing Radical Expressions |
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| EA-45 |
Rationalizing the Denominator (Single Radical) |
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| EA-46 |
Rationalizing the Denominator (Binomial Radical) |
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| EA-47 |
Performing Various Operations on Radical Expressions |
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SOLVING LINEAR EQUATIONS
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| EA-48 |
Solving Equations Involving Fractions |
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| EA-49 |
Solving Equations Involving Decimals |
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| EA-50 |
Solving Equations: Combined Techniques
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SOLVING NONLINEAR EQUATIONS
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| EA-51 |
Solving Quadratic Equations by Factoring |
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| EA-52 |
Solving Quadratic Equations by the Square Root Law |
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| EA-53 |
Solving Quadratic Equations by Completing the Square |
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| EA-54 |
Remembering the Quadratic Formula (by listening to this out-of-tune song) |
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| EA-55 |
Solving Quadratic Equations by the Quadratic Formula |
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| EA-56 |
Solving Polynomial Equations |
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| EA-57 |
Solving Rational Equations |
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| EA-58 |
Solving Radical Equations |
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| EA-59 |
Solving Various Types of Equations (Linear and Nonlinear) |
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ANALYTIC GEOMETRY: LINES
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| EA-60 |
Graphing Linear Equations in Two Variables |
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| EA-61 |
Finding the Slope of a Line Given the Graph |
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| EA-62 |
Finding the Slope of a Line Given the Coordinates of Two Points |
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| EA-63 |
Finding the Slope of a Line Given the Equation |
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| EA-64 |
Finding the Slope of Horizontal and Vertical Lines
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| EA-65 |
Finding the Slope of a Line Parallel to a Given Line |
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| EA-66 |
Finding the Slope of a Line Perpendicular to a Given Line |
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| EA-67 |
Writing Equations of Horizontal and Vertical Lines |
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| EA-68 |
Writing Equations of Lines Given Certain Properties |
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| EA-69 |
Writing Equations of Lines Given the Graph |
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SOLVING SYSTEMS OF TWO LINEAR EQUATIONS IN TWO VARIABLES
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| EA-70 |
Solving by the Substitution Method |
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| EA-71 |
Solving by the Addition Method |
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| EA-72 |
Practicing Skills on Lines and 2 by 2 Systems |
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WORD PROBLEMS: NUMBER
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| EA-73 |
Setting up and Solving Number Problems Leading to Linear Equations |
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| EA-74 |
Setting up and Solving Number Problems Leading to Quadratic Equations |
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| EA-75 |
Setting up and Solving Number Problems Leading to Polynomial Equations |
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| EA-76 |
Setting up and Solving Number Problems Leading to Rational Equations |
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| EA-77 |
Setting up and Solving Number Problems Leading to Radical Equations |
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| EA-78 |
Setting up and Solving Number Problems Leading to Various Types of Equations |
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| EA-79 |
Setting up and Solving Number Problems Leading to a 2 by 2 System of Linear Equations |
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| EA-80 |
Setting up and Solving Number Problems Involving Consecutive Numbers |
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| EA-81 |
Setting up and Solving Number Problems Involving the Value of a Fraction |
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| EA-82 |
Setting up and Solving Number Problems Involving the Value of a Two-Digit Number |
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OTHER WORD PROBLEMS
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| EA-83 |
Setting up and Solving Geometry Problems |
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| EA-84 |
Setting up and Solving Motion Problems |
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| EA-85 |
Setting up and Solving Work Problems |
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| EA-86 |
Setting up and Solving Mixture Problems
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| EA-87 |
Setting up and Solving “Mixture” Problems |
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| EA-88 |
Setting up and Solving Various Types of Word Problems |
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GETTING READY FOR MATH 125
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| EA-89 |
Practicing all the Math 115 Skills |
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