Graphing
What form do equations need to be in in order for us to graph them?
Slope-Intercept Form
What are you looking for to determine the "Easiest Variable"?
What is the first step to using the elimination method?
Line up the Equations
When choosing your variables, what should you "Let x ="?
The Answer to the Problem
What operation are you performing if you subtract a negative number?
Addition
The solution to the System is the ordered pair at the _____ __ __________.
Point of Intersection
Once you solve for the "Easiest Variable", which equation do you need to substitute the new expression into?
The OTHER Equation
What operation should be done to the equations if a variable has the same number for a coefficient, but opposite in sign?
Addition
True/False: Your variables will always be "similar", both representing either cost or quantity
True
When multiplying or dividing, what sign will the answer have if there are an ODD number of negative signs?
Negative
If two lines have the same slope, what are the possible answers for the system?
Infinite Solutions or No Solution
Once you have solved for one of your variables, does it matter which equation you substitute it into?
No
Name the two types of equations you will typically see in Systems of Equations Word Problems?
Cost and Quantity
Fully simplify the equation, and write in standard form.
3x + 5y - 2y + 7 = 12x - 4y + 15 - 3x
-6x + 7y = 8
How do the answers for Systems of Equations need to be shown?
As an Ordered Pair (x,y)
x = -4
2x + 4y = 16
(-4 , 6)
-8x + y = 1
5x + y = -12
(-1 , -7)
The sum of two numbers is 47. If their difference is 21, what is the smaller number?
13
When "moving" a value across the equal sign, what type of operation should you use?
The Inverse Operation of What is Being Done
What type of Systems HAVE to be solved by graphing?
Systems of Inequalities
-6x - y = 23
-4x + y = 7
(-3 , -5)
-x = y + 5
3x + 7y = -15
(-5 , 0)
Adult tickets to the aquarium costs $22 each while child tickets cost $15 each. If a large group bought 32 tickets and paid $543, how many child tickets were purchased?
23