Word Problems
Write the equations for the following situation: There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all.
x+y=13
2x+4y=40
By graphing, the solution to the system
y = x
y = -x
What is (0,0) ?
The solution to the system
x + y = 2
y = 3
What is (-1,3) ?
The solution to the system
x + 5y = 12
-x +y = 0
What is (2,2) ?
(4,5) is the solution to the following system?
4x - y = 12
x + 6y = 13
What is, NO ?
Write the equations for the following situation: The value of two numbers if their sum is 12 and their difference is 4.
x+y=12
x-y =4
By graphing, the solution to the system
y = 3x - 4
y = -3x + 2
What is (1,-1)?
The solution to the system
2y - x = 4
10y - x = 20
What is (4,2) ?
The solution to the system
-4x - 2y = -12
4x + 8y = -24
What is (6,-6)?
(0,-4) the solution to the system
y = -20x + 1
20x + y = 6
What is No?
Write the equations for the following situation: You buy 2 movies and 10 songs for 18 dollars. Your friend buys 3 movies and 5 songs for 17 dollars.
2x+10y=18
3x+5y=17
By graphing, the solution to the system
y = (1/3)x + 2
y = -x - 2
What is (-3,1) ?
The solution to the system
y = 6x - 11
-2x - 3y = -7
What is (2,1) ?
The solution to the system
5x + y = 9
10x - 7y = -18
What is (1,4)?
(-2,1) is a solution to the system
6x - 3y = -15
2x + y = -3
What is Yes?
Write the equations for the following situation: Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?
x + y = 155
1.25x+ 2.50y = 265
By graphing, the solution to the system
y = -(3/2)x - 4
y = (1/2)x + 4
What is (-4,2) ?
The solution to the system
-3x + 3y = 4
-x + y = 3
What is no solution?
The solution to the system
-4x + 9y = 9
x = 3y - 6
What is (9,5)?
No solution describes the solution to the following system
y = 3x + 4
y = -x - 4
What is No?
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
Child: 7
Senior: 4
By graphing, the solution to the system
y = (5/4)x - 2
y = (5/4)x -1
What is no solution?
The solution to the system
-5x - 8y = 17
2x - 7y = -17
What is (-5,1) ?
The solution to the system
2x + 8y = 6
-5x - 20y = -15
What is infinite number of solutions?
(-3,-1) is the solution to
y=(4/3)x + 3
(2/3)x + y = -3
What is (-3,-1)?