Starts with "S"
More than one equation to be solved at the same time is know as this.
Solve by graphing:
y = x + 4
y = 2x + 5
(-1, 3)
Solve by substitution:
x = 4y
2x + 3y = 22
Solve using elimination:
r + s = -6
r - s = -10
r = -8
s = 2
Write a system of equations to model the word problem below:
Two zookeepers are in charge of feeding the animals. The first zookeeper is responsible for feeding the land animals, and the second zookeeper is responsible for feeding the animals in the water exhibit. The first zookeeper has already fed 4 animals and is feeding 1 additional animal per hour. The second zookeeper has already fed 1 animal and is feeding 2 additional animals per hour. After how many hours will the two zookeepers have fed the same number of animals?
y = total animals fed
x = number of hours
y = 1x + 4y = 2x + 1
The ratio of rise to run.
Solve by graphing:
y = 3x - 2
y = -x - 2
(0, -2)
Solve using substitution:
y = x - 2
3x - y = 16
Solve using elimination:
8a + 5b = 9
2a - 5b = -4
a = 0.5
b = 1
Write a system of equations that could be used to solve the word problem:
JoAnn is measuring her plants. The first plant started out at two inches tall and grows at a rate of five inches per day. But, oh no! Her second plant is starting to wilt. It began at ten inches, but is shrinking at a rate of three inches per day. How long will it take for her plants to be the same height?
y = total plant height
x = number of days
y = 5x + 2
y = -3x + 10
The answer to an equation or system of equations.
Solve by graphing:
y = (1/3)x - 3
2x - y = 8
(3, -2)
Solve using substitution:
y = 3x - 1
7x + 2y = 37
(3, 8)
Solve using elimination:
2x - 4y = 12
2x + 2y = 6
Write a system of equations that could be used to solve the problem below:
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
a = adult
c = child
a + c = 2200
$4a + $1.5c = $5050
y = mx + b is more formally known as this:
________-__________ form.
Solve by graphing:
y - 3x = 3
y = 3x - 2
Solve using substitution:
3w - 2p = 4
p = 2w - 1
p = -5
w = -2
3x + 2y = 10
-2x + 4y = 4
Write a system of equations to model the following:
Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?
S = small lemonade
L = large lemonade
$1.25S + $2.50L = $265S + L = 155