Solve by ELIMINATION
Solve by GRAPHING
Solve by SUBSTITUTION
systems of inequalities
Writing Equations from Words
100
Solve
(6,-6)
100
Solve by Graphing
100
Solve the systems of equations using substitution.
x = 5
x + y = 12
(5, 7)
100
100
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined.
let x: hot dogs
let y: sodas
write a system, but do not solve.
x+y=87
1.5x+.5y=78.5
200
Solve using Elimination
(-1,-1)
200
(-1,-3)
200
Solve the systems of equations using substitution.
y = 2x
x + y = 9
(3, 6)
200
200
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos.
let x: tacos
let y: burritos
write a system, but do not solve
3x+3y=11.25
4x+2y=10
300
Solve by Elimination
(5,6)
300
(-4,2)
300
Solve the systems of equations using substitution.
x -5y=36
2x+y=-16
(-4,-8)
300
300
A farmhouse shelters 10 animals, some are pigs, and some are ducks. Altogether there are 36 legs. How many pigs are there?
x:pigs
y:ducks
write a system but do not solve
x+y=10
4x+2y=36
400
Solve using Elimination
no solution
400
no solution
400
Solve the systems of equations using substitution.
x = 3y
x - 3y = 0
Infinitely many solutions
400
400
A man has at least 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is at most $2.75, what is one potential solution for how many dimes and how many quarters does he have.
let x:dimes
let y:quarters
write a system, but do not solve
x+y>=14
.1x+.25y<=2.75
x>=0
y>=0
500
Solve using elimination method
(-2,-4)
500
y=2/3x+4
2x-3y=-12
infinitely many solutions
500
Solve the systems of equations using substitution.
2x-3y=-24
x+6y=18
(-6,4)
500
500
you need at least 3 pounds of fruit to make muffins. Blueberries cost $4 per pound and strawberries cast $3 per pound, the most you can spend on fruit is $21.
x:blueberries
y:strawberries
write a system but do not solve
x+y>=3
4x+3y<=21
x>=0
y>=0