Math 113/114/115 Elementary Algebra

 

Skill

Notes

Sample Problems

Videos

Pencast Lectures

Practice

 

Preparing for a Math Test

 

 

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Taking a Math Test

 

 

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PREALGEBRA REVIEW

 

 

 

 

 

EA-1

Performing Operations on Integers

 

Evaluate:

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

 

EA-2

Performing Operations on Fractions

 

Evaluate:

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

 

EA-3

Performing Operations on Decimals

 

Evaluate:

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

 

EA-4

Knowing the Real Number System

 

Given the set .

Identify the natural numbers, the whole numbers, the integers, the rational numbers, and the irrational numbers.

 

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EXPONENT RULES

 

 

 

 

 

EA-5

Applying the Product Rule

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Simplify:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-6

Applying the Power Rule

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Simplify:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-7

Applying the Distributivity of Exponentiation over Multiplication

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Simplify:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-8

Removing Zero Exponents

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Simplify:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-9

Removing Negative Exponents

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Simplify:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-10

Applying the Quotient Rule

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Simplify:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-11

Applying the Distributivity of Exponentiation over Division

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Simplify:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-12

Applying Combined Rules

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Simplify:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

 

POLYNOMIALS

 

 

 

 

 

EA-13

Identifying and Characterizing Polynomials

 

Find the degree of

and arrange the terms in descending order.

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-14

Adding and Subtracting Polynomials

 

 

Subtract:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-15

Multiplying Polynomials

 

Multiply:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-16

Multiplying Polynomials Using Special Products

 

Multiply:

 

Expand:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-17

Dividing Polynomials

 

Divide:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-18

Performing Various Operations on Polynomials

 

 

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

 

POLYNOMIAL FACTORING

 

 

 

 

 

EA-19

Factoring out the Greatest Common Factor

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Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Factor:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-20

Factoring by Grouping

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Factor:

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-21

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

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Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-22

Factoring Quadratic Trinomials with Leading Coefficient of 1

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Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Factor:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-23

Factoring Quadratic Trinomials with Leading Coefficient Different from 1

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Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Factor:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-24

Factoring the Difference of Squares

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Factor:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-25

Factoring the Sum/Difference of Cubes

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Factor:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-26

Factoring Strategy

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

 

EA-27

Factoring Using Combined Techniques

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Factor completely:

 

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

 

RATIONAL EXPRESSIONS

 

 

 

 

 

EA-28

Determining When a Rational Expression is Undefined

 

Find the excluded values of

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

 

EA-29

Simplifying Rational Expressions

 

Simplify:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-30

Simplifying Rational Expressions Involving Opposite Binomials

 

Simplify:

 

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-31

Multiplying Rational Expressions

 

Multiply:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-32

Dividing Rational Expressions

 

Divide:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-33

Adding/Subtracting Rational Expressions with the Same Denominator

 

Subtract:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-34

Finding the LCM of Monomials

 

Find the LCM:

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-35

Finding the LCM of Polynomials

 

Find the LCM:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-36

Adding/Subtracting Rational Expressions with Different  Denominators

 

Subtract:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-37

Performing Combined Operations on Rational Expressions

 

Perform the operations:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-38

Simplifying Complex Fractions Involving Rational Expressions

 

Simplify:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-39

Performing Various Operations on Rational Expressions

 

 

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

 

RADICAL EXPRESSIONS (INDEX 2)

 

 

 

 

 

EA-40

Finding Square Roots of Perfect Squares (Numbers)

 

Evaluate:

 

Simplify:

 

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-41

Simplifying Radical Expressions

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Simplify:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-42

Adding/Subtracting Radical Expressions

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Add:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-43

Multiplying Radical Expressions

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Multiply:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-44

Dividing Radical Expressions

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Divide:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-45

Rationalizing the Denominator (Single Radical)

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Rationalize the denominator:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-46

Rationalizing the Denominator (Binomial Radical)

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://sharepress.org/wp-content/uploads/2010/12/notepad.gif

Rationalize the denominator:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-47

Performing Various Operations on Radical Expressions

 

 

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

 

SOLVING LINEAR EQUATIONS

 

 

 

 

 

EA-48

Solving Equations Involving Fractions

 

Solve:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-49

Solving Equations Involving Decimals

 

Solve:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-50

Solving Equations: Combined Techniques

 

 

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

 

SOLVING NONLINEAR EQUATIONS

 

 

 

 

 

EA-51

Solving Quadratic Equations by Factoring

 

Solve:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpgDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-52

Solving Quadratic Equations by the Square Root Law

 

Solve:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-53

Solving Quadratic Equations by Completing the Square

 

Solve:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-54

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

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

 

EA-55

Solving Quadratic Equations by the Quadratic Formula

 

Solve:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-56

Solving Polynomial Equations

 

Solve:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-57

Solving Rational Equations

 

Solve:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-58

Solving Radical Equations

 

Solve:

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-59

Solving Various Types of Equations (Linear and Nonlinear)

 

 

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

 

ANALYTIC GEOMETRY: LINES

 

 

 

 

 

EA-60

Graphing Linear Equations in Two Variables

 

Graph and discuss the intercepts and slope.

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-61

Finding the Slope of a Line Given the Graph

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-62

Finding the Slope of a Line Given the Coordinates of Two Points

 

Find the slope of the line containing the points  and .

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-63

Finding the Slope of a Line Given the Equation

 

Find the slope of the line whose equation is given by .

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-64

Finding the Slope of Horizontal and Vertical Lines

 

Find the slope of the line

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

 

EA-65

Finding the Slope of a Line Parallel to a Given Line

 

Find the slope of the line parallel to the line .

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-66

Finding the Slope of a Line Perpendicular to a Given Line

 

Find the slope of the line perpendicular to the line.

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-67

Writing Equations of Horizontal and Vertical Lines

 

Find the equation of the line parallel to the x-axis and containing the point .

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-68

Writing Equations of Lines Given Certain Properties

 

Find the standard equation of the line through the point and perpendicular to the line .

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

EA-69

Writing Equations of Lines Given the Graph

 

 

 

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://ecx.images-amazon.com/images/I/41eG54%2Bmb9L._SL500_AA300_.jpg

 

SOLVING SYSTEMS OF TWO LINEAR EQUATIONS IN TWO VARIABLES

 

 

 

 

 

EA-70

Solving by the Substitution Method

 

Solve:

 

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.pngDescription: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://icons.iconarchive.com/icons/tpdkdesign.net/refresh-cl/256/Hardware-Video-Camera-icon.png

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.tech4mathed.com/wp-content/uploads/2010/09/pencast3a.jpg

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EA-71

Solving by the Addition Method

 

Solve:

 

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EA-72

Practicing Skills on Lines and 2 by 2 Systems

 

 

 

 

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WORD PROBLEMS: NUMBER

 

 

 

 

 

EA-73

Setting up and Solving Number Problems Leading to Linear Equations

 

The quantity three times the sum of a number and 2, decreased by the quantity twice the number increased by  4 is the same as the number less 9. 

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EA-74

Setting up and Solving Number Problems Leading to Quadratic Equations

 

The difference of the square of a number and the number is equal to 6.

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EA-75

Setting up and Solving Number Problems Leading to Polynomial Equations

 

The sum of the cube of a number and the number is the same as the sum of nine times the square of the number and 9.

 

 

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EA-76

Setting up and Solving Number Problems Leading to Rational Equations

 

Four times the reciprocal of a number less the reciprocal of the quantity 1 more than the number gives the ratio of 5 and the sum of the number and 1.

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EA-77

Setting up and Solving Number Problems Leading to Radical Equations

 

A number less 1 is the same as the square root of the quantity 1 more than twice the number.

 

 

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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

 

The sum of two numbers is 8.  Twice the first number less three times the second number gives 1.

 

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EA-80

Setting up and Solving Number Problems Involving Consecutive Numbers

 

The product of two consecutive positive odd integers is 143.

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EA-81

Setting up and Solving Number Problems Involving the Value of a Fraction

 

The numerator of a fraction is 2 less than the denominator.  If 3 is added to the numerator and 1 is subtracted from the denominator, the value of the fraction becomes 3/2.  Find the original fraction.

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EA-82

Setting up and Solving Number Problems Involving the Value of a Two-Digit Number

 

The sum of the digits of a two-digit number is 8.  If the digits are reversed, twice the new number is 17 more than the old number.  Find the original number.

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OTHER WORD PROBLEMS

 

 

 

 

 

EA-83

Setting up and Solving Geometry Problems

 

The length of a rectangle is 2 units more than twice the width.  Find the perimeter of the rectangle if the area is 24 square units.

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EA-84

Setting up and Solving Motion Problems

 

Ana was walking to work at a certain rate.  After half an hour, she realized that she was running late so she jogged at a rate that was 1 mph faster than her walking rate and reached her place of work after 20 minutes.  How fast was she walking if the distance from her starting point to her ending point was 3 miles?

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EA-85

Setting up and Solving Work Problems

 

Worker A needs 4 hours more than Worker B to finish a task.  Find how long it takes each worker to finish the task if together they can finish the task in 5 hours.

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EA-86

Setting up and Solving Mixture Problems

 

A chemist wants to mix a 30% acid solution with a 75% acid solution to produce 10 liters of a 50% acid solution.  How many liters of each solution does the chemist need to mix?

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EA-87

Setting up and Solving “Mixture” Problems

 

Two apples and four bananas cost $2.45.  Three apples and two bananas cost $3.40.  How much will an apple and five bananas cost?

 

 

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EA-88

Setting up and Solving Various Types of Word Problems

 

 

 

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GETTING READY FOR MATH 125

 

 

 

 

 

EA-89

Practicing all the Math 115 Skills

 

 

 

 

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