Write a System from the Scenario
Solving Systems:
Graphing
Graphing
Solving Systems:
Substitution
Substitution
Solving Systems: Elimination
Name the movie
100
Xin owns a trucking company. For every truck that goes out, Xin must pay the driver $20 per hour of driving and also has an expense of $2.25 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 50 miles per hour and Xin's total expenses for the driver, gas and truck maintenance were $1457.50. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.
100
What is the solution to the system?
(-3, -3)
100
y=-4x
y=x-5
(1,-4)
100
What is the first correct step to solve by Elimination in this problem?
6x-8y=-94
-x+8y=49
Add the equations
100
Back to the Future
200
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. A total of 10 cars were rented which can hold 66 people altogether. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.
200
What is the solution to this system?
No solution
200
y=9x-2
y=7x
(1,7)
200
(-8,-6)
200
E.T.
300
Mariana and her children went into a movie theater and she bought $51.25 worth of candies and pretzels. Each candy costs $4.75 and each pretzel costs $3.25. She bought a total of 13 candies and pretzels altogether. Write a system of equations that could be used to determine the number of candies and the number of pretzels that Mariana bought. Define the variables that you use to write the system.
300
Find the solution by graphing:
(3,2)
300
y=-4x
2x-5y=44
(2,-8)
300
−8x+4y=−24
−7x+4y=−16
(8,10)
300
Ghostbusters
400
Dalvin runs a farm stand that sells strawberries and blueberries. Each pound of strawberries sells for $2 and each pound of blueberries sells for $3.50. Dalvin sold twice as many pounds of blueberries as pounds of strawberries and he made $225 altogether. Write a system of equations that could be used to determine the number of pounds of strawberries sold and the number of pounds of blueberries sold. Define the variables that you use to write the system.
400
Solve the system by graphing:
(-3,3)
400
Solve by Substitution:
3x+y=20
-7y=x
(7,-1)
400
(-3,9)
400
BIG
500
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. The students rented 2 more small cars than large cars, which altogether can hold 46 people. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.
500
Solve the system by graphing:
(-6,0)
500
Solve by substitution:
y=4x-9
-7x-6y=-39
(3,3)
500
7x+4y=-9
-5x-3y=7
(1,-4)
500
Top Gun