Systems of Inequalities
Solving by Graphing
Solving by Elimination
Solving by Substitution
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 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
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:

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
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:

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

What is (-15, 12)?
300
The solution to the system

y = 3x - 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
Is (3, -4) a solution to 3x - y > 13
No. 13 = 13 (not greater)
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

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

What is infinitely many solutions?
400
The solution to the system

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

What is (-2, -5)
400

Jenny is making jewelry for an Arts and Crafts show. She would like to make at least $100 in sales. She estimates that she will sell at most 50 pieces of jewelry. The bracelets that she is selling cost $2 and the necklaces cost $3.


Answers will vary

500
How many points are the answer to a system of linear inequalities that intersect?
What is an infinite number of points.
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
(1/3)x - (1/2)y = 4

What is (24, 8)
500
The solution to the system

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

What is (3, 9)?
500

Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Jason knows that he will be buying at least 5 packages of hot dogs.

Answers will vary