Graphing
Miscellaneous
Substitution
Trivia
Elimination
100
How can I tell what the solution to a consistent system of linear equations is by looking at a graph of the system?
+100 points each for describing what the solution looks like for an inconsistent and/or dependent system.
Consistent: It is the intersection point of the lines.
Inconsistent: No solution, the lines are parallel
Dependent: Infinite solutions, the lines completely overlap
100
These are the three ways to solve a system of equations.
Graphing, Substitution, Elimination
100
Is the following system of equations set up for substitution? Why or why not?
y=3x+4
y=5x-2
Yes, because we can substitute one y into the other to get:
3x+4=5x-2
100
This continent has the most countries.
Africa - 54
100
What are the TWO conditions that coefficients must meet in order to be ready for elimination?
1: They must be the same number
2: They must have opposite signs
300
How many solutions will a system of equations have if the two graphs have different slopes but the same y-intercept?
One solution
300
What console is needed to play this game?
Nintendo Wii
300
Write a single variable equation that could help you solve the following system. Do not distribute. (In other words, substitute)
y=3x+10
2x-7y=6
2x-7(3x+10)=6
300
What brand is this the logo for?
Lacoste
300
What must be done for this to be ready for elimination? Which variable is being eliminated?
2x-3y=10
3x+6y=8
Multiply the 1st equation by 2. Eliminate the y's
500
Write the system of equations in slope-intercept form.
y=-2/3x-4
y=x+1
500
This cylindrical monument in a town outside of Florence, Italy is structurally sound and is at no risk of collapsing...so they claim.
The Leaning Tower of Pisa
500
Solve using your preferred method:
4x+10y=9
2x+5y=3
No Solution
500
The is Americas largest crop in terms of production.
Corn
500
Solve for y.
4x-5y=20
-2x+3y=-15
y=-10
1000
Graph the following system and provide the solution.
y=-x+4
y=2x-2
(2,2)
*graph must be correct
1000
A frog is at the bottom of a 30-foot well. Each day it climbs up 3 feet, but slips back 2 feet each night. How many days will it take for the frog to reach the top of the well?
28 Days
1000
Solve the following system of equations by substitution:
-x+y=8
x+5y=10
(-5,3)
1000
This body of water separates Africa from Europe. Double points if you can tell me the name of the narrowest part of it.
Mediterranean Sea
Straight of Gibraltar
1000
Solve the following system of equation using elimination:
6x-2y=12
x-3y=-6
(3,3)