Systems of Inequalities
Solving by Graphing
Solving by Graphing
Word Problems
100
This method must be used to solve a system of inequalities
What is graphing
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

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

What is (3, 8)
100
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
200
Describe how you would shade y < 3x + 4
What is "underneath" or "where (0,0) is"?
200
The solution to the system of equations:

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

What is (0, -2)?
200
The solution to the system:

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

What is (-15, 12)?
200
A shopper 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
Show your solution to the system y < x + 2 and x > 3
shade under y < x + 2 and to the right of x > 3. Both are dotted lines.
300
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
300
The solution to the system:

8a + 5b = 9
2a - 5b = -4

What is (0.5, 1)?
300

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

If you have y>3x+2, how many of these points are part of the solution?

(0,0) (-5,0) (2,8) (-2,5)

What is 2 points?

(-5,0) and (-2,5)

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:

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

What is (24, 8)
400

We have a test with 10 questions on it worth 50 points. Some are True/False and others are Multiple Choice. If True/False questions are worth 3 points and Multiple Choice are worth 8 points, how many True/False questions do we have?

What is 6 True/False questions?

500
Is (3, -4) a solution to 3x - y > 13
No. 13 = 13 (not greater)
500
The solution to the system of equations:

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

What is no solution?
500
The solution to the system

2a - 4b = 12
-8a + 16b = -48

What is infinitely many solutions?
500

We have a test with 20 questions on it worth 88 points. Some are True/False and others are Multiple Choice. If True/False questions are worth 4 points and Multiple Choice are worth 5 points, how many Multiple Choice questions do we have?

What is 8 Multiple Choice questions?