Elimination
Substitution
Graphing
Word Problems
100
x + 3 y = 5
2x - 3y = -8
(-1,2)
100
y = -2x - 10
y = 4x + 2
(-2, -6)
100
Give the system AND the solution
(3,-4)
y = 2x + 2
y = x - 1
100
Lewis has $450 and saves $15 per week.
Charles has $600 and spends $10 each week.
Write and solve a system to find out when they will have the same amount of money
y = 450 + 15x
y = 600 - 10x
At 6 weeks they will have the same amount of money
200
4x - 3y = 16
5x + 3y = 20
(4,0)
200
y = x + 1
2x + 3y = -12
(-3, -2)
200
Write the system AND give the solution
(-2,1)
y = 2x + 5
y = x + 3
200
At a hot air balloon festival, Seth's balloon is at an altitude of 40 m and rises 10m/min. Cooper's balloon is at an altitude of 165 and descends 15 m/min. Write and solve a system of find the number of minutes where they are at the same altitude. What is the altitude?
y = 40 + 10x
y = 165 - 15x
It will take 5 min and will be at 90 m
300
-2x - 9y = -25
-4x - 9y= 23
(-1,3)
300
y = 5x - 1
2y = 3x + 12
(2,9)
300
Graph the system and find the solution
y = -x + 6
y = x - 4
(5, 1)
300
Will bought 3 shirts and 6 hats for $72.
Matthew bought 3 shirts and 4 hats for $60.
Write and solve a system to find the cost of each item.
3s + 6h = 72
3s + 4h = 60
shirts cost $12 and hats cost $6
400
The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?
x = 8
400
2x - 3y = -2
y= -4x + 24
(5,4)
400
y = 1/2x + 2
y = 1/4x + 4
(8,6)
400
At 7-11, 3 granola bars and 3 drinks cost $15.50. At Cumberland Farms, 5 granola bars and 3 drinks cost $20.
Write and solve a system to find the cost of each item.
3g + 3d = 15.5
5g + 3d = 20
granola bars cost $2.25 and drinks cost $8.75
500
The method of solving equations where you add or subtract equations to end up with one variable.
elimination