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Graphing Inequalities
Solving by Graphing
Solving by Elimination
Solving by Substitution
Word Problems
100

Graph the solutions: y > x

https://docs.google.com/document/d/17bZYWKNTCAgFrbJ3GC9KKQ5uEMLWi3dtATpDZuQ08ZE/edit?usp=sharing

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

y = x + 4
y = 2x + 5

What is II
100
The solution to the system of equations:

r + s = -6
r - s = -10

What is (-8, 2)?
100
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
100
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
200

Graph the solutions to the system of linear inequalities

x > 4

y < -7 

https://docs.google.com/document/d/1JCV2TOAvjKBqD2nzfkITD_uNCroWjtnkaXVEQCybfCI/edit?usp=sharing

200
The solution to the system of equations:

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

What is (0, -2)?
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
Jared needed new shirts and hats for his job at Awty Plus. He 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 was the cost of one shirt?
What is $30?
300

Graph the solutions 


y <= -(1/2)x + 4

y <= (1/2)x

https://docs.google.com/document/d/14dBQKylVgkaysXDp6YewDvt3sYbgRX5S3Jo8zLj04fY/edit?usp=sharing

300
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
300

The solution to the system:

2x = 6 - 3y
3x + 5y = 15

What is (-15, 12)?

300

The solution to the system

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

What is (3, 8)

300
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.
What is 400 advanced tickets, 200 game-day tickets?
400

Write an inequality to model this scenario

Each x side dishes contain 300 calories and each y sandwiches contain 450 calories. You want to serve at least 1800 calories. 

300x+ 450y >= 1800

400
The solution to the system of equations

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

What is (3, -2)
400

The solution to the system

-4b  = 12 - 2a
-8a + 16b = -48

What is infinitely many solutions?

400

The solution to the system

3s - 2t = 4
4t = 8s - 4

What is (-2, -5)

400
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width
What is 26x13?
500

Give at least two possible combinations of sides and sandwiches you can serve based on this constraint.

300x+ 450y >= 1800  

x + y<25

https://docs.google.com/document/d/1eSs2TolWcPm6Rfh6sWz7yi-inYiufYyIXXpZlGmV5NY/edit?usp=sharing

500
The solution to the system of equations:

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

What is no solution?
500

The solution to the system:

(1/3)x + (1/4)y = 10
(2/3)x - y = 8

What is (24, 8)

500

The solution to the system

-y - 10 = 6x

5x + y = -10

What is (0, -10)?

500
A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
What are 5 multiple choice questions?