Substitution
Elimination
Graphing
How Many Solutions?
Which Method to Solve?
100
x+3y=12
y=30+4x
Solve the system of equations using substitution
(-6, 6)
100
x+y=24
2x-y=-6
Solve the system of equations using elimination
(6, 18)
100
What is the solution?
(-2, 1)
100
How many solutions does this graph have?
No solutions
100
Which method of solving systems of equations should be used?
-4x+3y=9
87y+4x=2222
Elimination
200
2x+5y=19
y=3x-3
Solve the system of equations using substitution
(2, 3)
200
y=x-1
-4x+3y=-2
Solve the system of equations using elimination
(-1, -2)
200
What is the solution?
(1, 3)
200
One solution
200
Which method of solving systems of equations should be used?
7x+9=y
12y-x=-4
Substitution
300
2y=5+2x
x+8y=2
Solve the system of equation using substitution
(-2, 0.5)
300
-5y+4x=49
7y+2x=-23
Solve the system of equations using elimination
(6, -5)
300
What is the solution of this graph?
(2, 2)
300
How many solutions do these systems have?
x*2y=36
4x*8y=144
Infinite solutions
300
Which method of solving systems of equations should be used?
c=12m-33
6-12m=22c
Elimination or Substitution
400
Jamie and Amie are both runners. Jamie runs at 4mph and got a 4 mile head start over Amie who runs at 5mph. At what mile will they meet and how much time would have passed(distance=x,time=y)? Write your answer as an ordered pair.
They meet at 20 miles and 4 hours would have passed. (20,4) is an acceptable answer.
400
Kelton Bragg and Jackson Heller are both hungry. Jackson can eat 3 cupcakes a minute Kelton can eat 5 per minute. If Jackson starts eating his cupcakes 2 minutes before Kelton, after how many minutes after *Jackson ate 2 minutes worth of cupcakes*, will they both have eaten the same number of cupcakes(number of cupcakes=x, minutes after=y)
Since jackson started eating before Kelton for 2 minutes, he would already have 6 cupcakes inside his stomach. After 3 more minutes of eating, they would have both eaten a total of 15 cupcakes.
400
At a local hardware store, there are 2 robots that build car wheels. Robot 1 creates 3 wheels every 2 minutes and Robot 2 creates 2 wheels every 3 minutes. If robot 2 already built 5 wheels, then when will they have built the same number of wheels? (x=wheels, y=time)
After 6 minutes, both robots would have made 9 wheels. Robot 2 works very slowly, smh. (9,6) is a valid answer.
400
Sheena has a massive buisness. Her buisness gets her $500 per hour. Kazuki has a job as a McDonalds Marketing official and his job gets him $100 per hour. Kazuki suddenly inherited $2000 from his long lost uncle giving him $2000. If Sheena has $0 and Kazuki has $2000, after how many hours would they have the same amount money?
After 5 hours, both people will have $2500. Sheena's buisness is doing good.
400
Cell phone company A charges $50 per month, with an initial cost of $135. Cell phone company B charges $30 per month, with an initial cost of $175. If John wants to have a phone for 8 months, which cell phone company should he use?
John should use cell phone company B because cell phone company A offers a total od $535 for 8 months, while cell phone company B offers $415 per month, and $415 is less than $535.