Show:
Starts With S
Solving by Graphing
Representing systems
Solving by Substitution
100

The name of a way to solve a systems of equation

What is substitution?

100
The quadrant in which the solution to the following system lies:

y = x + 4
y = 2x + 5

What is II
100

Hailey is organizing a field trip. The school has small buses that can seat 16 students and large buses that can seat 32 students. There are 112 students and 4 bus drivers. What equations can represent this system of equations? 

What is x+y=4 and 16x+2y=112

100

Is (8,2) a solution to the system of equations?

x = 4y
2x + 3y = 22

Yes

200
The ratio of rise to run
What is slope?
200
The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?
200

A video rental company offers a plan that includes a membership fee of $4 and charges $2 for every DVD borrowed. They also offer a second plan, that costs $32 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. What is that total cost of either plan? How many DVDs is that?

Let y = total cost              x= # of DVD’s

Each option costs $32 if a customer rents 14 DVDs.

200

Is (7, -5) a solution to the system of equations?

y = x - 2
3x - y = 16

No

300
The answer to an equation or system of equations.
What is a solution set?
300
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
300

Scott is a plumber, and his coworker Peter is an electrician. Scott charges customers a fee of $96 just to come to their houses and then $3 per minute that he is there. Peter also charges a fee of $110 for a home visit, plus an additional $1 per minute. Last week the coworkers went to a job site together, spent the same amount of time working, and earned the same amount. How much did each one earn? How much time did each one spend working?

 Let y= money earned      x = # of minutes

Scott and Peter each earned $117 over 7 minutes

300

Is (3, 8) a solution to the system of equations?

y = 3x - 1
7x + 2y = 37

Yes

400
y = mx + b is more formally known as this.
What is slope-intercept form.
400
The solution to the system of equations

y = (1/3)x - 3
2x - y = 8

What is (3, -2)
400

Mrs. Landry is a dance teacher whose students are going to have a recital. She is comparing two companies' prices for filming the recital and producing DVDs. Ella's Productions charges $11 per DVD, plus $27 to come and film the recital. Belmont Media charges $83 to film, plus $4 per DVD. To decide which company to use, Mrs. Landry determines the number of DVDs that would make the two options equivalent in terms of cost. How much would each option cost? How many DVDs would that be? 

 Let y= total cost              x = # of DVD’s

$115 for 8 DVDS

400

Is (2, -5) a solution to the system of equations?

3s - 2t = 4
t = 2s - 1

No

500
The alliterative vehicle by which presents are transported on Christmas Eve.
What is Santa's Sleigh?
500
The solution to the system of equations:

y - 3x = 3
y = 3x - 2

What is no solution?
500

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve for their ages. 

x + y = 55
x - y = 3


(29, 26)

500

What is the solution to the system of equations?

t + u = 12
t = (1/3)u

What is (3, 9)?