Systems of Inequalities
Solving by Graphing
Random
Word Problems
Word Problems
100
This method must be used to solve a system of inequalities
What is graphing
100
What is the solution to the system
y = x + 4
y = 2x + 5
(-1,3)
100
Is the point (4,1) in the solution set? Why or why not?
No- not in double shaded area.
100
Mike has two jobs as a cook and as a baby sitter. He works 'c' hours as a cook making 15 dollars an hour and 'b' hours as a baby sitter making 22 dollars an hour. This week he can work a max of 20 hours total but wants to make at least 200 dollars.
set up a system of inequalities to represent this situation.
..
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.
Also would the line be solid or dotted?
Underneath and dotted.
200
The solution to the system of equations:
y = 3x - 2
y = -x - 2
What is (0, -2)?
200
Name 3 points that are in the solution set.
Many answers.
200
Jake has 30 coins in total, all dimes and quarters. In total he has 6 dollars.
Set up a system of inequalities to represent that situation.
..
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
Give a point that is in the system
y < x + 2 and x > 3
many answers.
300
The solution to the system of equations:
y = -3
x = 5
What is (5, -3)
300
The solution to the system:
2x + 5y =30
3x + 5y = 15
What is (-15, 12)?
300
A bakery sells brownies and cookies. Brownies cost 'b' dollars and cookies cost 'c' dollars. Yesterday they sold 18 brownies and 24 cookies to make a total of 81 dollars. Today they sold 10 brownies and 30 cookies to make a total of 70 dollars. Set up a system of equations.
.
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
Solve algebraically
y=3x-2
5x-2y=2
(2,4)
400
Mike has two jobs as a cook and as a baby sitter. He works 'c' hours as a cook making 15 dollars an hour and 'b' hours as a baby sitter making 22 dollars an hour. This week he can work a max of 20 hours total but wants to make at least 200 dollars.
Can he work for 14 hours as a cook and 5 as a baby sitter. Show work
Yes
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
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
Jake has 30 coins in total, all dimes and quarters. In total he has 6 dollars.
Set up a system of inequalities to represent that situation.
How many of each coin does he have?
20 Q and 10 D
500
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.
What is $15,000 for the son and $10,000 for the daughter?