Solve by Graphing
Solve by Substitution
Solve by Elimination
Systems Trivia
Word Problems
100
Graph the equations to find the solution.
y= 1x - 1
y = -1x +1
(1,0)
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
You and a friend go to Taco John's 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. How much do soft tacos cost? How much do burritos cost?
burrito is $2.50
soft taco is $1.25
200
Solve the following system by graphing:
2y = 3x - 4
3y = -3x + 6
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 - y = -11
3x + 5y = 7
(4, -1)
200
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
200
There are two numbers, the sum is 22. The larger number is one more than twice the smaller number. What are the two numbers?
7 and 15
300
Solve Using Graphing:
-5x + 3y = 6
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 =30
3x - 5y = 15
(0, -3)
300
What is true of lines with no solution?
They are parallel
-or-
They have the same slope, but different intercepts
300
The difference of two numbers is 12. Their sum is 54. Find the smaller of the two numbers
21
(Other number is 33)
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:
x = -8y + 22
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
3.3x + 1.3y = 0.9
11
400
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. How many hot dogs were sold and how many sodas were sold?
35 hot dogs and 52 sodas
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations using substitution:
-8x + 2y = -14
16x - 4y = 28
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-5x + 2y = -12
4x = 3y + 11
(2, -1)
500
What does it mean if a system of equations has infinitely many solutions?
The lines are the same and would overlap.
500
A jar contains nickel and dimes valued at $1.70. There are 21 coins in the jar. How many of each coin is there?
13 dimes and 8 nickels