Systems of Inequalities
The inequality sign > would have what type of line on a graph.
What is a dashed line?
y = x + 4
y = 2x + 5
r + s = -6
r - s = -10
A system with no solution looks like what on a graph.
What is parallel lines?
The Jones family bought 5 burgers and 3 orders of fries for a total of $21. The Wu family bought 4 burgers and 4 orders of fries for $20. Find the cost of an order of fries.
What is $2 ?
Describe how you would shade y < 3x + 4
What is "underneath" or "below the line"?
y = 3x - 2
y = -x - 2
8a + 5b = 9
2a - 5b = -4
The solution to the system
What is (-6, -8) ?
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?
The graph of the system y < x + 2 and y > -2x+3 would have these types of lines and this type of shading.
What is 2 dashed lines and shading below the first line and shading above the 2nd line?
The solution to the system of equations:
y = -3x +1
y= -3x +1
What is infinitely many solutions?
2x + 3y = 6
3x + 5y = 15
The solution represented by the table below
What is ( , )
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?
Solutions to a system of inequalities can be found in this location on the graph.
What is the solution region or the double-shaded area?
y = (1/3)x - 3
2x - y = 8
2a - 4b = 12
-8a + 16b = -48
3s - 2t = 4
t = 2s - 1
Heather and Eugene are selling fruit for a school fundraiser. Customers can buy small boxes of grapefruit and large boxes of grapefruit. Heather sold 4 small boxes of grapefruit and 1 large box of grapefruit for a total of $87. Eugene sold 3 small boxes of grapefruit and 12 large boxes of grapefruit for a total of $279. Find the cost of one large box of grapefruit.
What is $19 ?
y - 3x = 3
y = 3x - 2
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
t + u = 12
t = (1/3)u
Mofor and Jack each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Mofor spent $73 on 4 hostas and 5 pots of ivy. Jack spent $125 on 5 hostas and 10 pots of ivy. Find the total cost of one hosta and one pot of ivy.
What is $16 ?