New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

College Algebra, Week One

by: Kait Brown

College Algebra, Week One MATH 1100.140

Marketplace > University of North Texas > Math > MATH 1100.140 > College Algebra Week One
Kait Brown
View Full Document for 0 Karma

View Full Document


Unlock These Notes for FREE

Enter your email below and we will instantly email you these Notes for College Algebra

(Limited time offer)

Unlock Notes

Already have a StudySoup account? Login here

Unlock FREE Class Notes

Enter your email below to receive College Algebra notes

Everyone needs better class notes. Enter your email and we will send you notes for this class for free.

Unlock FREE notes

About this Document

These notes cover topics discussed during week one of MATH 1100.140, 840
College Algebra
Mary Ann Barber
Class Notes
Algebra, Numbers, Union, Intersection, Integer, exponents, scientific, notation




Popular in College Algebra

Popular in Math

This 7 page Class Notes was uploaded by Kait Brown on Monday September 5, 2016. The Class Notes belongs to MATH 1100.140 at University of North Texas taught by Mary Ann Barber in Fall 2016. Since its upload, it has received 25 views. For similar materials see College Algebra in Math at University of North Texas.

Similar to MATH 1100.140 at UNT


Reviews for College Algebra, Week One


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/05/16
W eekly Notes Math 1100.140,84 0 Week one Chapters p.1 The Real numbers and their properties p.2 Integer exponents and scientific notation  Solve vs. Simplify o Solve  Obtaining a value or a set of values, sometimes a graph or number line. An algebraic solution will include >, <, =, ≥, or ≤. o Simplify  Obtain an equivalent expression in a simpler form  Zero Product Property of Multiplication o If A•B=0, then A=0 and/or B=0  The Distributive Property of Multiplication Over Addition o A(B+C)=AB+AC  DO NOT distribute multiplication over multiplication  Importance of Notation/Hidden Meaning o => Implies o Є Element of o ⊂ Subset of o [ ] Includes endpoints o ( ) Does not include endpoints  Types of Real Numbers and Their Importance o Natural  N  Counting numbers, starting at 1  {1, 2, 3…} o Whole  W  Counting numbers, starting with 0  {0, 1, 2…} o Integer  Z  Whole numbers, including negatives  {…-1, 0, 1…} o Rational  Q  Any number that can be written as a ratio  .872, ½, .3 o Irrational  Q  Any number that cannot be written as a ration, i.e., not a rational number  √2, π P.1.1. 1. An integer that is not whole 2. An irrational number 3. Rational, but not an integer -3 π 1132/11 P.1.2. 5 1/7 -5 Z, Q, R Q, R R, Q, Z √4 √5 √-5 N, W, Z, Q, R Q, R Complex .123 . 123 .11235813… Q, R Q, R Q, R  Set Notation o Set  Collection of Objects o Roster Method  A list of the elements  {1, 2, 3, 4, 5, 6} o Set Builder Notation  Describe the elements of the set  {x x Є ℕ, x ≤6} OR {x x Є ℕ, x <7} o Number line  How to show a set  {x -1≤x<3}  -2 -1 0 1 2 3 4 5 6 7 P.1.3. Write the set of natural numbers less than 10 with each set notation Roster Set Builder Number Line {1, 2, 3, 4, 5, 6, 7, 8, 9} {x x Є ℕ, x ≤9} <10} 1 2 3 4 5 6 7 8 9 10 11 12 13  Union and Intersection o Union  ⋃  Represents the elements that are in one or both sets o Intersection  ∩  Represents elements only in both sets P.1.4. If S={2, 3, 5, 7}, T={2, 4, 6, 8}, and V={1, 3, 5, 7}, find S ⋃ T and T ⋃ V S ⋃ T = {2, 3, 4, 5, 6, 7, 8} T ⋃ V = { } P.1.5. If A={x -1≤x<2} and B={x x>1}. Find A ⋃ B and A ∩ B. A={-1, 0, 1} -2 -1 0 1 2 A ⋃ B = {x -1≤x} B={ } 0 1 2 3 4 5 6 A ∩ B = {x 1<x<2} P.1.6. Use the number line below to write the set in interval notation. -5 -4 -3 -2 -1 0 1 2 3 4 5 [-4,1) ⋃ (2, 3] P.1.7. Rewrite │√17-5│without absolute value bars. 5-√17Because √17 is less than 5 P.1.9. Simplify 5(x-4)-10 1. Multiply 5 into (x-4) 5x-20 5 a. 5(x-4) 5x-20 2. Divide numerator by denominator, 5 a. 5x-20-10 (5x/5)-(20/5)-(10/5)x-4-2 3. Simplify a. -4-2 -6 b. x-6 Integer Exponents and Scientific Notation  For a real number a, called the base, and a natural number n, called the exponent, aⁿ=a•a•a…a•a n number of times Exponential Rules to Know  Product Rule o If a is a real number and m and n are integers, then a •a =a+n o Keep base, add exponents  Quotient Rule o If a is a nonzero, real number, and m and n are integers, then m n m-n a /a =a . o To divide exponents (with the same base), keep the base and subtract exponents.  Power-of-a-Power Rule m n mn o If a is a real number and m and n are integers, (a ) =a o Keep base, multiply exponents  Power-of-a-Product Rule n n n o If a and b are real numbers and n is an integer, (a*b) =a *b  Power-of-a-Quotient Rule n n n o (a/b) =-n/b n n n o (a/b) =(b/a) =b /a P.2.4 Suppose x *x =1. What is t? When we multiply the same base with exponents, we add the exponents. So x •x =1. t=1/7 -2 P.2.5 Simplify 5 . To rid our equations of negative exponents we use the reciprocal of the 1 base, so the answer is 5 2 P.2.8 3 -4 Simplify ( -2x y -4 3(-4) 1 -12 1. Apply -4 to the numerator: -2 x - 16 x And the -4 denominator: y y 2. To get rid of the negative exponents we flip the numerator and the denominator: 1 -12 4 - 16 x y y -4 16x 12 P.2.10. Write the following in scientific notation: 00.00365 3.65*10 -3 36500 3.65*10 4


Buy Material

Are you sure you want to buy this material for

0 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Anthony Lee UC Santa Barbara

"I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

Jim McGreen Ohio University

"Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."


"Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.