Chapter 1 Math Review

The past few weeks we have been working on linear equations. The things we were taught in this unit were:
1. Substitution Method
-First you pick a variable to solve for
-Then Solve for it
-Next you substitute to create a single equation in 1 variable
-Solve for that variable
-Then you use that known value to find the unknown value

2. Elimination Method
-Line up variables and coefficients
-Pick a variable to solve for
-Use algebra to divide or multiply the whole equation by a value to create the same or opposite coefficients in either variable
-Next you add or subtract dependent on if they are sames or opposites
-Solve for the remaining variable
-Use substitution to get the variable you eliminated in either variable

I am not bad at doing either of these but i could always use more practice at them.

Then we started word problem...I am really really bad at these! I never know how to set up the equations.

First you start by doing a let statement ( Let y =__________),(Let x =__________)
Then you make your equations using numbers from the question.
Next you solve it using 1 of the 3 methods
To finish it up you make a statement summarizing your answer.

Different types of solutions:
1. Ordered Pair Solution(constant system)-The lines intersect, slopes are different, and the intersects are different.
2.No solution:(lines are paralle)-The slopes are the same, and the intersects are different.
3.Indefinitely many ordered pair solutions(Lines are superimposed)-The slopes are the same and the intersects are the same.

Overall this unit wasn't too terribly hard.