Methods & Solutions
Graphing
Solving Systems
Riddles
Definitions
100
What are the four methods we have used for solving systems of equations?
Graphing Method
Substitution Method
Equal Values Method
Elimination Method
100
When graphing a system of equations, the solution lies at the point of ______________?
"intersection"
100
You solved a system of equation using substitution and you ended up with
5=-7
How many solutions does the system have?
No solution
100
The more you take, the more you leave behind. What am I?
footsteps
100
The answer to solving a systems of linear equations.
the solution
200
Is the ordered pair (- 2, 8) a solution of
8x + 2y = 0
x - 2y = -18
YES
200
What is the solution of this systems of equations?
(2,2)
200
You solved a system of equation using substitution and you ended up with
0=0
How many solutions does the system have?
infinitely many solutions
200
David's father has three sons: Snap, crackle, and ______?
David
200
The two lines have the same slope and different y-intercept. The number of solutions for this type of systems of equations is:
none
300
In what method would you REPLACE a variable with a number or expression?
Substitution
300
If two lines have "no solution" in a system of equations, what is true about their slopes?
What is "they are the same?"
300
Solve the following system of equations:
y=-3
y=6x+3
(-1,-3)
300
I add 5 to 9 and I get 2. The answer is correct, so what am I?
A clock. Add 5 hours to 9:00am and we get 2:00pm.
300
The solution to a system of linear equations on a graph is called ______________.
an intersection point
(x,y)
400
Which method is the most efficient method to solve this system of linear equations?
y=-2x+3
y=4
"the Substitution or Equal Values Method"
400
What does a system of linear equations with infinitely many solutions look like when graphed?
What is one line?
400
Solve the following system of equations using substitution.
y=x+6
x+2y=6
(-2, 4)
400
I am an odd number. Take away a letter and I become even. What number am I?
seven
400
The lines have the same slope and same y-intercept. What is the number of solutions for this type of system of equations?
infinitely many
500
Is the ordered pair (-1,2) a solution of x-y=-3 and 2x-y=0?
NO
500
What is the solution to this system of equations?
NO SOLUTION
500
Solve the following system of equations:
y=-3x
-3x+3y=0
(0,0)
500
What is 3/7 chicken, 2/3 cat, and 2/4 goat?
Chicago!
CHI - CA - GO
500
When we use any algebraic method to solve a system of equations, we are combining two equations with two variables to get ____________________
one equation with one variable