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 = 2x + 4
y= -x - 2
(-2,0)
200
The solution to the system
y = x - 2
-3x + y = -16
What is (7, 5)
200
The solution to the system:
8a + 5b = 9
2a - 5b = -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
Mary wants to buy a charm bracelet. Weston Fine Jewelry charges $22 per charm, plus $41 for the bracelet. Barnett Jewelers, in contrast, charges $4 per charm and $59 for the bracelet.
What is the equation for Weston Fine Jewelry and Barnett Jewelers?
Weston Fine Jewelry: y = 22x + 41
Barnett Jewelers: y = 4x + 59
300
What is the solution to the system below:
y = 3/4x + 2
y = 3/4x - 4
No Solution
300
The solution to the system
y = 3x - 1
4x + y = 34
What is (5, 14)
300
The solution to the system:
6x + 9y =18
6x + 10y = 30
What is (-15, 12)?
300
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
3x - 2y = 17
4x + 2y = 21
Elimination (variables are on one side of the equation sign and lined up)
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 two equations for this situation
2018: 16x + 5y = 417
2019: 10x + 8y = 480
400
What is the solution to the system below:
y = x + 4
y = -⅓x - 4
(-6,-2)
400
The solution to the system
-2t + 3s= 4
t = -1 + 2s
What is (-2, -5)
400
The solution to the system
8a - 16b =48
-8a + 16b = -48
What is infinitely many solutions?
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
Bobby and Sean just had business cards made. Bobby's printing company charged a one-time setup fee of $14 and then $13 per box of cards. Sean ordered his online. He paid $11 per box plus a $20 shipping fee.
Write two equations for this situation
Bobby: y = 13x + 14
Sean: y = 11x + 20
500
What is the solution to the system below:
Infinite Solutions
500
The solution to the system
t + 1u = 12
t = 1/3u
What is (3, 9)?
500
The solution to the system:
2x + 8y = 32
-x + 5y = 11
What is (4, 3)
500
Which is the best method to solve the system below (Graphing, substitution, or elimination?):
3y - 3x = 3
3y + 6x = 15
Elimination (variables are on one side of the equation sign and lined up)
500
At Six Flags, adults cost $16 & kids cost $12 each. A group of 42 people spent $568. How many adults & kids?
Write two equations for this situation
16x + 12y = 568
x + y = 42