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Dealers Choice
Mystery
100

How many solutions are there?

No Solutions

100

Solve the systems of equations:

-3x + 4y = -2

y = -5

(-6, -5)

100

Solve the systems of equations:

14x + 2y = 26

-14x - 6y = -50

(1, 6)

100

You choose the strategy! Write 2 equations and solve. 

At a fruit stand, apples and oranges are sold by the bag. On Monday, 6 bags of apples and 4 bags of oranges weighed a total of 38 pounds. On Tuesday, 3 bags of apples and 5 bags of oranges weighed a total of 31 pounds. How much does one bag of apples weigh and how much does one bag of oranges weigh? 

  • One bag of apples weighs 3⅔ pounds

  • One bag of oranges weighs 4 pounds

100

Is the given point a solution to the system of equations? 

Point:  (2,6)

x + y = 8

3x - y = 0

Yes

200

Rewrite the following equations in Slope-intercept form.

2x - 3y = 6 

y = -6 - 2x

y= 2/3x − 2

y=−2x-6

200

Solve the systems of equations:

-5x - 5y = 10

y = -4x -17

(-5, 3)

200

Solve the systems of equations:


(4, -1)

200

You choose the strategy! Write 2 equations and solve.

 A movie theater sells adult tickets and child tickets. On Friday, the theater sold 8 adult tickets and 6 child tickets for a total of $116. On Saturday, it sold 5 adult tickets and 9 child tickets for a total of $111. Find the price of one adult ticket and one child ticket. 

  • Adult ticket: $9.00

  • Child ticket: $7.33

200

Is the given point a solution to the system of equations?

Point: (1/2, -2)

6x + 5y = -7

2x - 4y = -8

No

300

Solve the systems of linear equations by graphing:

Open up your book to pg 299 #1!!!

y = 1/2x + 1 

-2x + 4y = 4 

Infinitely many solutions

300

Solve the systems of equations:

y = -2x - 9

3x -6y = 9

(-3, -3)

300

Solve the systems of equations:

-15x + 6y = -36

8x - 6y = 22

(2, -1)

300

You choose the strategy! Write 2 equations and solve. 

Jacob and Sumalee each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store. Jacob spent $107 on 11 daylilies and 4 geraniums. Sumalee spent $60 on 4 daylilies and 12 geraniums. Find the cost of one daylily and the cost of one geranium.

daylily: $9, geranium: $2

300

What is the solution to the system below?

(1, -2)

400

Solve the systems of linear equations by graphing:

Open up your book to pg 299 #2!!!

y = -x - 3 

y + x = 2 

No Solution

400

Solve the systems of equations:

-8x - 5y = -24

-x + y = 10

(-2, 8)

400

Solve the systems of equations:

-3x - 24y = -66

3x + 4y = -14

(-10, 4)

400

You choose the strategy! Write 2 equations and solve. 

New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 6 buses with 324 students. High School B rented and filled 9 vans and 3 buses with 264 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Van: 12, Bus: 52

400

Rewrite the following equations in Slope-intercept form. 

−5x−5y=10 

16x - 2y = 14

y=−x−2

y=8x−7

500

Solve the systems of linear equations by graphing:

Open up your book to pg 299 #3!!!

2y = 6x + 4 

y = -2x + 2 


(0, 2) 

500

Solve the systems of equations:

-8x + y = -7

16x - 2y = 14

Infinitely Many Solutions

500

Solve the systems of equations:

(2, -1)

500

You choose the strategy! Write 2 equations and solve. 

The school that Jaidee goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 senior citizen tickets and 11 student tickets for a total of $190. The school took in $160 on the second day by selling 5 senior citizen tickets and 12 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.

senior citizen ticket: $8, student ticket: $10

500

Solve the following System of Equations

-6y + 2 = -4x

y - 2 = x

(-5,-3)