Solve by Graphing
Solve by Substitution
Have it Your Way!
Number of Solutions
Random Trivia
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
y=3x-10
x=2
(2,-4)
100
When the x in an ordered pair is zero, what does the y in that pair represent
the y intercept
100
How many solutions would a system of linear equations have if the equations are parallel and different y-intercepts?
Zero Solutions
100
"A zoo has a total of 20 animals, including monkeys and tigers. If there are 12 more monkeys than tigers, how many monkeys and tigers are there?"
4 Tigers, 16 Monkeys
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
y=2x-10
y=4x+8
(-9,-28)
200
Solve the systems of equations using Elimination:
2x - 3y = 9
-2x + y = -2
(-1, -4)
200
What has to happen to the equations before how many solutions there are can be determined?
Isolate the y for both equations
200
"A candy store is selling gummy bears for $0.50 each and lollipops for $0.25 each. If a customer buys a mix of 10 candies and spends $3.75, how many gummy bears and lollipops did they buy?"
5 gummy bears and 5 lollipops
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
Is there 1 solution, No solution, or Infinite solutions for the following question?
3x - y = 19
-3x + y = 10
No Solutions, Slopes are the Same
300
"A theater sold 200 tickets for a movie screening, with adult tickets costing $10 and children's tickets costing $5. If the total revenue was $1500, how many adult tickets and children's tickets were sold?"
100 adult tickets and 100 children tickets
400
Solve this by graphing:
y = 2x - 4
y = -1/3 x + 3
(3,2)
400
Solve the systems of equations using substitution:
2x - y = 6
x = y + 5
(1, -4)
400
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
DOUBLE JEOPARDY
How many solutions does the system have?
3y + 4x = 6
12y + 16x = 24
These are the same exact line, therefore they have
Infinite Solutions
400
"A party planner is deciding between two catering options. Option A costs $20 per person and includes a buffet, while Option B costs $15 with a smaller food selection. If the budget is $500, how many people can attend using each option?"
Option A: 25 persons
Option B: 33 persons
500
Solve the systems of linear equations by graphing:
500
DOUBLE JEOPARDY
Solve the systems of equations using substitution:
y = 8x -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-15x + 6y = -36
-4x + 3y = -11
(2, -1)
500
TRIPLE JEOPARDY!!!
If a line crosses the y axis at 3 and the point (7, -2) is the line, AND, a second line crosses the y axis at -3 and the point (7, -8), how many solutions are there?
No Solution, Same Slope
500
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 of each were sold?
35 hot dogs
52 drinks