Systems of Inequalities
What method must be used to solve a system of inequalities?
Graphing
In which quadrant the solution to the following system lies:
y = x + 4
y = 2x + 5
Quadrant II
What is the solution to the system of equations?
r + s = -6
r - s = -10
(-8, 2)
What is the solution to the system of equations?
x = 4y
2x + 3y = 22
(8, 2)
The sum of two numbers is 104. Their difference is 68. What are the numbers?
86 and 18
How you would shade y < 3x + 4 ?
Underneath the line y = 3x + 4
What is the solution to the system of equations?
y = 3x - 2
y = -x - 2
(0, -2)
What is the solution to the system of equations?
8a + 5b = 9
2a - 5b = -4
(0.5, 1)
What is the solution to the system of equations?
y = x - 2
3x - y = 16
(7, 5)
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?
$30
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.
What is the solution to the system of equations?
y = -3
x = 5
(5, -3)
What is the solution to the system of equations?
2x + 3y = 6
3x + 5y = 15
(-15, 12)
What is the solution to the system of equations?
y = 3x - 1
7x + 2y = 37
(3, 8)
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5 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. How many advanced tickets and game-day tickets were sold?
400 advanced tickets, 200 game-day tickets
Is (3, -4) a solution to 3x - y > 13
No. 13 = 13 (not greater)
What is the solution to the system of equations?
y = (1/3)x - 3
2x - y = 8
(3, -2)
What is the solution to the system of equations?
2a - 4b = 12
-8a + 16b = -48
Infinitely many solutions?
What is the solution to the system of equations?
3s - 2t = 4
t = 2s - 1
(-2, -5)
What are the dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width
26x13
How many points are the answer to a system of linear inequalities that intersect?
An infinite number of points.
What is the solution to the system of equations?
y - 3x = 3
y = 3x - 2
No solution
What is the solution to the system of equations?
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
(24, 8)
What is the solution to the system of equations?
t + u = 12
t = (1/3)u
(3, 9)
What is the amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.
$15,000 for the son and $10,000 for the daughter