Write the Solution/Graphing
Solving by Substitution
Solving by Elimination
Best Method
Word Problems
100
What is the solution to the system below?
(1,3)
100
The solution to the system:
x = 4y
2x + 3y = 22
What is (8, 2)
100
The solution to the system of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
100
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
y = x + 4
y = 2x + 5
Graphing (it's in y=mx+b)
100
Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for $94.
Write Castel and Gabriella's Equations
Castel: 6x + 4y = 80
Gabriella: 6x + 5y = 94
200
What is the solution to the system below:
y = 8
x = -3
(-3,8)
200
The solution to the system
y = x - 2
-3x + y = -16
What is (7, 5)
200
The solution to the system:
8x + 5y = 9
-2x + 5y = 4
What is (0.5, 1)?
200
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
y = 3x - 2
x + y =- 2
Substitution (variable = )
200
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660.
What is the equation for Week 1 of shopping and Week 2 of shopping?
Week 1: 6x + 8y = 700
Week 2: 9x + 6y = 660
300
What is the solution to the system below:
No Solution
300
The solution to the system
y = 3x - 1
8x + 2y = 68
What is (5, 14)
300
The solution to the system
8x - 16y =48
-8x + 16y = 48
What is No Solutions?
300
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
3x - 4y = 17
4x + 2y = 21
Elimination (-2y and 2y cancel out)
300
On the 2018 DC trip, SOMS rented and filled 16 vans and 5 buses with 417 students. On the 2019 DC Trip, SOMS rented and filled 10 vans and 8 buses with 480 students.
Write the equations for the 2018 and the 2019 Field Trips.
2018: 16x + 5y = 417
2019: 10x + 8y = 480
400
What is the solution to the system below:
y = 2x
x = 12
(12,24)
400
The solution to the system
3x - 2y = 4
y = - 1 + 2x
What is (-2, -5)
400
The solution to the system:
6x + 9y =18
3x + 5y = 15
What is (-15, 12)?
400
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
y = (1/3)x - 3
2x - y = 8
Substitution (variable =)
400
Solve the system below (write the two equations first, then solve for x & y):
Alyssa and Deanna go to BGR for dinner. Alyssa buys 1 burger and 2 sides for $15. Deanna buys 1 burger and 4 sides for $23. How much does one burger cost? How much does one side cost?
Alyssa: 1x +2y = 15
Deanna: 1x+4y = 23
x=7 y = 4
500
What is the solution to the system below:
Infinite Solutions
500
The solution to the system
x + 1y = 12
x = 1/3y
What is (3, 9)?
500
The solution to the system:
2x + 8y = 32
-3x + 15y = 33
What is (4, 3)
500
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
3y - 3x = 3
6y + 6x = 15
Elimination (multiply bottom equation by -1 so the y's cancel out)
500
A library is having a book sale to raise money. Jackie bought a 4 hardcover books and 3 paperback books for $26. Blaine bought 6 hardcover books and 3 paperback books for $34.
Write Jackie and Blaine's equations and solve the systemJackie: 4x + 3y = 26
Blaine: 6x + 3y = 36
x = 5 y = 2