Allison C., Algebra II

Chapter 2-2 Linear Equations

(Glencoe Algebra II textbook)

"Today is unique! It has never occurred before and it will never be repeated. At midnight it will end, quietly, suddenly, totally. Forever. But the hours between now and then are opportunities with eternal possibilities."  (from www.motivateus.com)
Charles Swindoll

• Standard form of an equation is Ax+By=C
• All variables must be real numbers and A and B cannot be zero.
• Linear Equations have one or two variables. None of those variables can have an exponent other than one.

Write this equation in standard form:

3y=12+6x

• The Greatest Common Factor is 3. Divide the entire equation by 3.

3y(/3)=12(/3)+6x(/3)

  y=4+2x

• Move the 2x over to the other side.

y=4=2x

2x-y=4

Solve this problem:

Cordelia and Ophelia are best friends. They are planning on driving to Arizona, and then Ophelia is going to California. They have $200 to spend on bus tickets. If they buy 2 tickets to Arizona and one ticket to California, how much will they have to spend on tickets? Write and Solve an equation.

2x+y=200

substitute 0 for y

2x+(0)=200

divide by 2

x=100

Plug the number back in. 

2(100)+y=200

200+y=200

Move 200 from the other side.

y=0

Ophelia will be stuck in Arizona for the rest of her life because she cannot afford a bus ticket to California.

Check out these helpful websites

http://www.algegbrahelp.com

http://www.algebra.com

BACK