# Prealgebra Student Resources

Skill Notes Videos Practice
Preparing for a Math Test
Taking a Math Test

PREALGEBRA REVIEW

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

EXPONENT RULES

EA-5 Applying the Product Rule
EA-6 Applying the Power Rule
EA-7 Applying the Distributivity of Exponentiation over Multiplication
EA-8

Removing Zero Exponents

EA-9

Removing Negative Exponents

EA-10

Applying the Quotient Rule

EA-11

Applying the Distributivity of Exponentiation over Division

EA-12

Applying Combined Rules

POLYNOMIALS

EA-13

Identifying and Characterizing Polynomials

EA-14

EA-15

Multiplying Polynomials

EA-16

Multiplying Polynomials

EA-17

Dividing Polynomials

EA-18 Performing Various Operations on Polynomials

POLYNOMIAL FACTORING

EA-19

Factoring out the Greatest Common Factor

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EA-20

Factoring by Grouping

EA-21

Finding Two Numbers that Add to One Number and Multiply to Another (Sum-Product)

EA-22

EA-23

EA-24

Factoring the Difference of Squares

EA-25

Factoring the Sum/Difference of Cubes

EA-26

Factoring Strategy

EA-27

Factoring Using Combined Techniques

RATIONAL EXPRESSIONS

EA-28

Determining When a Rational Expression is Undefined

EA-29

Simplifying Rational Expressions

EA-30

Simplifying Rational Expressions Involving Opposite Binomials

EA-31

Multiplying Rational Expressions

EA-32

Dividing Rational Expressions

EA-33

Adding/Subtracting Rational Expressions with the Same Denominator

EA-34 Finding the LCM of Monomials
EA-35 Finding the LCM of Polynomials
EA-36

Adding/Subtracting Rational Expressions with Different Denominators

EA-37

Performing Combined Operations on Rational Expressions

EA-38

Simplifying Complex Fractions Involving Rational Expressions

EA-39

Performing Various Operations on Rational Expressions

EA-40 Finding Square Roots of Perfect Squares (Numbers)

EA-45 Rationalizing the Denominator (Single Radical)
EA-46 Rationalizing the Denominator (Binomial Radical)
EA-47 Performing Various Operations on Radical Expressions

SOLVING LINEAR EQUATIONS

EA-48 Solving Equations Involving Fractions
EA-49 Solving Equations Involving Decimals
EA-50

Solving Equations: Combined Techniques

SOLVING NONLINEAR EQUATIONS

EA-51 Solving Quadratic Equations by Factoring

EA-52 Solving Quadratic Equations by the Square Root Law
EA-53 Solving Quadratic Equations by Completing the Square

EA-54 Remembering the Quadratic Formula (by listening to this out-of-tune song)

EA-56 Solving Polynomial Equations
EA-57 Solving Rational Equations
EA-59 Solving Various Types of Equations (Linear and Nonlinear)

ANALYTIC GEOMETRY: LINES

EA-60 Graphing Linear Equations in Two Variables
EA-61 Finding the Slope of a Line Given the Graph
EA-62 Finding the Slope of a Line Given the Coordinates of Two Points
EA-63 Finding the Slope of a Line Given the Equation
EA-64

Finding the Slope of Horizontal and Vertical Lines

EA-65 Finding the Slope of a Line Parallel to a Given Line
EA-66 Finding the Slope of a Line Perpendicular to a Given Line
EA-67 Writing Equations of Horizontal and Vertical Lines

EA-68 Writing Equations of Lines Given Certain Properties

EA-69 Writing Equations of Lines Given the Graph

SOLVING SYSTEMS OF TWO LINEAR EQUATIONS IN TWO VARIABLES

EA-70 Solving by the Substitution Method

EA-71 Solving by the Addition Method

EA-72 Practicing Skills on Lines and 2 by 2 Systems

WORD PROBLEMS: NUMBER

EA-73 Setting up and Solving Number Problems Leading to Linear Equations

EA-75 Setting up and Solving Number Problems Leading to Polynomial Equations
EA-76 Setting up and Solving Number Problems Leading to Rational Equations

EA-78 Setting up and Solving Number Problems Leading to Various Types of Equations
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
EA-82 Setting up and Solving Number Problems Involving the Value of a Two-Digit Number

OTHER WORD PROBLEMS

EA-83 Setting up and Solving Geometry Problems

EA-84 Setting up and Solving Motion Problems

EA-85 Setting up and Solving Work Problems
EA-86

Setting up and Solving Mixture Problems

EA-87 Setting up and Solving “Mixture” Problems
EA-88 Setting up and Solving Various Types of Word Problems