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

MATH 95 - Week 1 Notes

by: Alex Tucker

MATH 95 - Week 1 Notes MATH 95

Marketplace > University of Oregon > Math > MATH 95 > MATH 95 Week 1 Notes
Alex Tucker
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 Math 95

(Limited time offer)

Unlock Notes

Already have a StudySoup account? Login here

Unlock FREE Class Notes

Enter your email below to receive Math 95 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

This is what we covered during Week 1.
Math 95
Craig Tingey
Class Notes
Lines, Substitution




Popular in Math 95

Popular in Math

This 6 page Class Notes was uploaded by Alex Tucker on Saturday October 1, 2016. The Class Notes belongs to MATH 95 at University of Oregon taught by Craig Tingey in Fall 2016. Since its upload, it has received 20 views. For similar materials see Math 95 in Math at University of Oregon.


Reviews for MATH 95 - Week 1 Notes


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: 10/01/16
Lines (Day 2) 9/27/16 lin Parallel e lines intersectio (Parallel Lines never n cross) Y axis Perpendicular lines (horizontal, vertical) (-2,0) (0,1) X axis The points on a line satisfy the equation of the form Ax + By + C = 0. rise change(y) Slope= Slope = m = (y 1y 2/ run change(x) (x1-x2) Lines (Day 2) 9/27/16 M = -1 M = 1 M = 2 M = ½ (bigger slopes = Equations: - Standard Form Ax + By + C = 0 - Slope-Intercept y=mx + B - Slope = m - Y-int = b (0,b) - Point-Slope y-y = m (x-x ) 1 1 - Slope = m - (x1,1 ) = any point Example: Find an equation of the line through (-1,2) and (3,1). 2−1 −1 −1−3 = 4 y-2 = -¼(x-(-1)) + - slope slope Lines (Day 2) 9/27/16 Perpendicular lines have slopes which are negative reciprocals of each other. 1 m⊥= m Applications of Linear Functions (Day 3) 9/28/16 Doritos cost $3.29 / bag. How much does it cost to buy x bags? Call the cost C=C(x) C(x)=3.29x+0 More generally, total cost = (fixed costs) + (variable costs) Ex. Shirts (flat fee) $50 for stencil + $15 per shirt; total cost for x shirts: C(x)=15x + 50 - Systems of Linear Equations Let’s find out where the lines x+ 5y = 3 & 3x + 4y = -2 intersect. x+5y=3 3x+4y=-2 -x -x -3x -3x 5y −x+3 4y=−3x−2 = 5 5 4 −1 3 −3 1 y= 5 x+ 5 y= 4 x− 2 Applications of Linear Functions (Day 3) 9/28/16 - Substitution 1) Solve one of the equations for one variable. 2) Substitute into other sign. 3) Use formula from one to find remaining variable. I’ll solve x+5y=3 for x. x= -5y+3  3(-5y+3)+4y= -2 x=-5+3; x = -2 -15y+9+4y= -2  -11y+9=-2 -9 -9 −11 y=−11 11 y = 1 (-2,1) A. Solve 2x+y=1 & 3x+2y=0 y=-2x+1 3x+2(-2x+1)=0 3x-4x+2=0  -x+2=0 −x=−2 −1 x = 2 Applications of Linear Functions (Day 3) 9/28/16 2(2)+y=1  4+y=1 -4 -4 y=-3 (2,-3) B. Solve 3x+2y=4 & 6x+4y=-1 2y=−3x+4 2 y=−3 x+2 2 −3 6 x+4(2 x+2)=−1 6x-6x+8=-1  8 = -1? No Solutions


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

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Anthony Lee UC Santa Barbara

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

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."

Parker Thompson 500 Startups

"It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

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.