Rules and Methods
What are the three methods for solving a system of equations?
Graphing, Substitution, and Elimination
y=x+8
x+y=2
x=-3
y=5
The sum of two numbers is 15
The difference of two numbers is 5
Find the numbers.
10 and 5
Two teams are tied with 6 Super Bowl wins each, name both of them
Patriots and Steelers
How do you know when to use a solid or dashed line when graphing inequalities?
> or < - Dashed Line
≥ or ≤ - Solid Line
x-4y=3
4x-8y=12
x=3
y=0
The sum of two numbers is 24
The difference of two numbers is 8
Find the numbers.
16 and 8
What year did the first Super Bowl happen?
1966
How do you give the solution set of a system of inequalities?
Draw a S where the shading overlaps.
-2x-y=12
9x+y=-26
x=-2
y=-8
Two times a number added to another number is 25. Three times the first number minus the other number is 20. Find the numbers.
9 and 7
What city has the Super Bowl been played in the most?
What do we use to determine the direction of shading when graphing inequalities?
Test Point
3x+8y=-5
-2x+2y=18
x=-7
y=2
At a baseball game, Henry bought 5 hotdogs and 3 bags of chips for $14.82. Scott bought 7 hotdogs and 6 bags of chips for $22.89. Find the cost of each hotdog and bag of chips.
$2.25 for a hotdog
$1.19 for a bag of chips
What Super Bowl matchup has occurred the most?
Cowboys vs Steelers
When using the graphing method, how many solutions will you have if the lines are parallel?
5x+2y=-3
3x+3y=9
x=-3
y=6
Gabe has 60 coins consisting of quarters and dimes. The combined value of the coins is $9.45. Find how many quarters and dimes Gabe has.
23 quarters and 37 dimes
Four teams have never made the Super Bowl.
Name all of them
Lions, Texans, Jaguars, and Browns