Write the Solution/Graphing
Best Method
Solving by Elimination
Solving by Substitution
Word Problems
100
What is the solution to the system below?
(1,3)
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
The solution to the system of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
100
The solution to the system:
x = 4y
2x + 3y = 22
What is (8, 2)
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
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
y = 3x - 2
x + y =- 2
Substitution (variable = )
200
The solution to the system:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
200
The solution to the system
y = x - 2
-3x + y = -16
What is (7, 5)
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
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
3x - 2y = 17
4x + 2y = 21
Elimination (-2y and 2y cancel out)
300
The solution to the system:
6x + 9y =18
6x + 10y = 30
What is (-15, 12)?
300
The solution to the system
y = 3x - 1
4x + y = 34
What is (5, 14)
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
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
The solution to the system
8a - 16b =48
-8a + 16b = -48
What is infinitely many solutions?
400
The solution to the system
3s - 2t = 4
-2s + t = - 1
What is (-2, -5)
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
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
3y - 3x = 3
3y + 6x = 15
Elimination (multiply bottom equation by -1 so the y's cancel out)
500
The solution to the system:
2x + 8y = 32
-x + 5y = 11
What is (4, 3)
500
The solution to the system
t + 1u = 12
t = 1/3u
What is (3, 9)?
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