Solve by Graphing
Solve by Substitution
Solve by Elimination
Misc
Applications
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
100
The sum of two numbers is 53. If their difference is 25, find both numbers.
x=39, y=14
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
200
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
200
Rob and Adam went to Taco Express. Rob bought seven tacos and two fajitas and paid $12.65. Adam bought four tacos and one fajita and paid $6.95. Find the cost of a taco.
$1.25
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = 0
No Solution
300
Why can you use substitution to solve a system of equations?
Equality Property or Property of Equality
300
Mitch bought a total of 13 pizzas and buckets of wings for his big Super Bowl party. It costs $11.75 for a pizza and $19.95 for a bucket of wings. If he spent $193.75, how many buckets of wings did he buy?
5 Buckets
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
What would you multiply the top equation by if you wanted to eliminate the "x" terms:
0.3x - 0.2y = -2.1
0.6x + 1.3y = 0.9
-2
400
A total of 800 pre-sale tickets and tickets at the gate were sold to the football city championship game. If the number of tickets sold at the gate was thirteen less than twice the number of pre-sale tickets, how many pre-sale tickets were sold?
271 tickets
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-15x + 6y = -36
8x - 6y = 22
(2, -1)
500
Why can you use elimination to solve a system of equations?
The variables are like terms!
500
Max has a collection of 99 dimes and some pennies. In total, he has $4.41. How many pennies does he have?
61 pennies