Vocabulary
How Many Solutions?
What is the Solution?
Real World Systems
Riddles
100
When we have two equations of lines this is known as
Systems of Equations
100
When solving, the following shows how many solutions?
3x=3x
Infinite Solutions
100
(1,3)
100
Tom and Jerry play baseball and go to the batting cages to practice. Tom goes to SportsPlex where he pays $5 for the equipment usage and $2 per round. Jerry goes to Batter-Up and pays $3 for the equipment usage and $3 per round.
Write the two equations that represent the information.
Tom:
Jerry:
Tom: y=2x+5 and Jerry: y=3x+3
100
I’m tall when I’m young and short when I’m old. What am I?
What is a CANDLE?
200
What is the point where two lines intersect called?
The Solution (to the system)
200
When solving, the following shows how many solutions?
2=7
No Solutions
200
What is the solution to the following graph?
No Solution
200
Based on the following system of equations, what is the initial cost for using BOTH cab services?
Yellow Cab: $2
Blue Cab: $5
200
What has a head and a tail but no body?
What is a COIN?
300
How many solutions if equations have DIFFERENT slope and DIFFERENT y-intercepts
One Solution
300
When solving, the following shows how many solutions?
3x=21
One Solution
300
How many solutions are there to the following:
1/3(6x-54)=2x-18
Infinite Solutions
2x-18=2x-18, -18=-18
300
Based on the following graphed system of equations, how many miles would it take for both cab services to cost the same? How much will they cost at this point?
(3 miles, $8) They cost the same at 3 miles and will cost $8
300
What has hands but cannot clap?
What is a CLOCK?
400
How many solutions if SAME slope, but DIFFERENT y-intercepts?
No solutions
400
Solve to see how many solutions (state the solution if there is one):
2(x+6)+1=2x-11
No Solution
400
Graph and state the solution of the following (complete on answer sheet or whiteboard):
y=x+3 , y=1/5x-1
(-5,-2)
400
Mr.C's niece, Lilly, throws all her crayons on the floor by accident. Mr. C and Lilly begin cleaning up the crayons off the floor. Lilly picks up five crayons per minute. Mr. C already had four crayons in his hand and picks up three per minute.
Create TWO equations for both Mr. C and Lilly and then graph to see how long it will take till both Mr. C and Lilly have collected the SAME amount of crayons.
Two minutes to collect ten crayons (2, 10)
400
What can travel around the world while staying in a corner?
What is a STAMP?
500
How many solutions if SAME slope and SAME y-intercept?
Infinite Solutions
500
Solve to see how many solutions (state the solution if there is one):
-3(x+7)=7(6-2x)+3
One solution, x=6
500
Graph and state the solution to the following system (graph on answer sheet or whiteboard):
y=-3x+6 and 3x-y=6
(2,0)
500
Mrs. D'Agostino and Mrs. Conte are competing to see who can grade the most papers before the end of the quarter. Mrs. D'Agostino has started the day with 2 papers graded and then continues to grade 3 papers per hour. Mrs. Conte has started with 3 papers already graded and then continues to grade 2.5 papers per hour.
Graph and state how many hours till they have graded the same amount of papers. (Remember to create equations for both Mrs. D'Agostino and Mrs. Conte)
(2,8)
y=3x+2 and y=2.5x+3
500
What is so delicate that saying its name breaks it?
What is SILENCE?