Intro to Linear functions and equations

We are starting a new unit involving many important objectives based around linear equations and functions. You will learn how to find the slope of a line, use slope-intercept form, find the equation of a line, graph linear and quadratic functions, and how to use direct and inverse variation to solve problems.But for today, we are going to focus on using two variables in equations. First, click on this link:http://home.sprynet.com/~smyrl/EQ6.HTM Notice, they mention "explicit form," this is what we will refer to as slope-intercept form.





1.Next, read over pages 349 and 350 in your textbook. Then you can try a couple problems and post this on your blog. Do this by writing the equation for y in terms of x (ex. 3x + y = 7, so y = 7 -3x). Try #13-16 on pg. 351.





2.Next, read pg. 353 and 354 from your textbook. Define all bolded words (skip abscissa) in your notebook (or on your blog if you want to) from those pages using this website, http://www.amathsdictionaryforkids.com/




13. 2x+y=6

y=6-2x



14. 5x+y=7

y=7-5x



15. 3x+2y=8

2y=8-3x



16.2x+5y=10

5y=10-2x



Definitions

Origin: the point of intersection of the x-axis and y-axis on a coordinate or Cartesian plane. the coordinates of the origin are (0,0).

x-axis: the horizontal axis of a graph

y-axis: the vertical axis of a graph

coordinate plane: a plane containing two perpendicular axes

coordinates: shown as pairs of letters and/or numbers. used to show position on a coordinate plane or map

x-coordinate: the position of a point according to the x-axis

y-coordinate: the position of a point according to the y-axis.

quadrants: any quarter of a plane divided by an x or y-axis

%More Percents%

Directions: Go to this site to answer questions. You can do this on paper OR on your blog.http://factfinder.cenus.gov/home/en/kids/funfacts/funfacts.html
Click on Ohio to help you find the answers.

1. Find the most current U.S. population of females or males
5,840,878
2. What was the U.S. population of females or males five years ago?
5,620,775
3. Find the percent increase/decrease.
3.92%
4. Based on the percent increase/decrease, with a population of 1000 people, how many females or males would there have been five years ago?
961 Females
5. Find the percent of increase or decrease for these categories:
a) under 5 years old
3.85%
b) between 10-14 years old
7.95%
c) over 85 years old
28.09%

%Percents%

You have just graduated college and have found your dream job as a Teacher. Let's pretend you will be making around $1200 per month, depending on overtime, bonuses, etc. Now here is the deal - you need to make sure you manage your money wisely. Answer the following questions:


1) Your rent plus utilities (gas, water, internet, phone, etc.) is $540 a month! What percentage of your monthly income is this?
45%
2) You spend about 6% of your income per month on your cell phone bill! What amount is this?
$72
3) You usually spend around $200 per month on groceries. Find this percentage.
%16.7
4) You spend about $40 per week on gas filling your car's gas tank! What percentage of your monthly income is spent on gas?
13.3%
5) You like to use the remaining money and split it - using 60% on entertainment (movies, shopping, etc.) and putting the other 40% in savings. About how much money is spent on entertainment and how much is put in savings?
Entertainment: $208.80
Savings: $139.20