Write the Solution/Graphing
Solving by Substitution
Solving by Sub (w/ change)
Word Problem Set-Up
How many Solutions
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
Complete the first step of the following system.
y = 2/3x + 6
y = 5x + 6
2/3x + 6 = 5x + 6
100
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
100
Which coordinate is the solution to the system
(-6,6) , (-2,3), or (4,-9)
3x + 4y = 6
2y = -4x - 2
(-2, 3)
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
Solve for y and plug into equation... (Do not solve)
2x + 5y = 10
3x + 10y = 30
y = -2/5x + 2 ... 3x + 10(-2/5x + 2)= 30
or
y = -3/10x + 3 ... 2x + 5(-3/10x + 3) = 10
200
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
200
How many solutions does the following system have? If it has a solution, what is the coordinate point?
y = -3/4x + 1
3x + 4y = 4
Infinite solutions
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 of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
300
Two angles are complementary. The measure of one angle is 6° more than 2 times the measure of the other angle.
Create the 2 equations that represent the System
x + y = 90
y = 2x + 6
300
Which coordinate is the solution to the system
(-10, -1) , (-5, -2), or (-2, -5)
x − 5y = 5
x + 5y = − 15
(-5, -2)
400
What is the solution to the system below:
y = x + 4
y = -⅓x - 4
(-6,-2)
400
The solution to the system
-2x + 3y= 4
x = -1 + 2y
What is (-2, -5)
400
The solution to the system:
2x + 8y = 32
-x + 5y = 11
What is (4, 3)
400
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
How many solutions does the following system have? If it has a solution, what is the coordinate point?
y= 2/3x + 5
-2x + 3y = 10
No Solution
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:
10x − 8y = 14
5x + 20y = 55
(3,2)
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
500
How many solutions does the following system have? If it has a solution, what is the coordinate point?
−2x + y = 1
4y = -8x + 4
One Solution (3/4, -1/2)