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