By Graphing
By Substitution
By Elimination
Applications
Any System of Equation
100

When graphing two lines, where do you look for the solution to the system of equations?

The point where the lines intersect.

100
The solution to y = -3x - 2 y = -2x - 2
What is (0,-2)?
100
The solution to this system x + 8y = 16 5x - 8y = -16 is this.....
What is (0,2)?
100
Aaron's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 2 adult tickets and 5 student tickets for a total of $74. The school took in $79 on the second day by selling 1 adult ticket and 6 student tickets. What is a system of equations for this problem?
What is 2a + 5s = 74 a + 6s = 79
100
A system of equations has this many equations.
What is two or more equations?
200
The solution to y = -2x - 5 y = 2/5x + 7 is what?
What is (-1,4)?
200
The solution to y = 3x + 1 y = -5
What is (-2,-5)?
200
Using elimination, the solution to 6x - y = 16 5x + y = 6 is this.....
What is (2,-4)?
200
Stephanie's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 12 senior citizen tickets and 11 student tickets for a total of $241. The school took in $235 on the second day by selling 7 senior citizen tickets and 15 student tickets. What is a system of equations to this problem?
What is 12c +11s = 241 7c + 15s = 235
200
The points were all equations have the same value.
What is the solution?
300
The solution to y = -1/8x - 8 y = -7/8x - 2
What is (8,-9)
300
The solution to 3x - 3y = 0 y = -6x + 14 is this......
What is (2,2)?
300
-2x + y = -5 -2x - 3y = -9 What is the solution?
What is (3,1)?
300
The difference between the number of boys and girls in 1st period algebra is 51. The number of girls is 6 more than twice the number of boys. Write a system of equations to the solution of the number of girls and number of boys.
What is b - g = 51 g = 2b + 6
300
Two lines that cross on the same coordinate grid intersect to create this...
What is the solution?
400
The solution to y = -x + 2 y = -x - 2 is this.....
What is no solution.
400
Given y = -3x + 1 6x + 2y = 2 The solution to this system is what...
What is many solutions?
400
6x + 6y = 18 6x + 6y = 18 What is the solution?
What is infinitely many solutions?
400
The total number of students in math class is 51. There are twice as many girls as boys. What is a system of equations that would give a solution to the number of girls and boys in the class?
What is b + g = 51 b = 2g
400
If ALL variables cancel and your statement is false, it forms this type of solution.
What is no solution?
500

Given y - x= 4 and y = x + 4 The solution is this....

What is infinite solutions?

500
-5x + y = -23 7x - 5y = 7 The solution is this...
What is (6,7)
500
Given y = 4x + 3 x + y = -2 The solution to this system is what?
What is (-1,-1)?
500
You have 100 coins worth $6.95. All of the coins are nickels and dimes. What would be a system of equations to find the number of dimes and nickels you have? How many nickles and dimes do you have?
What is n + d = 100 .05n + .10 = 6.95
500
If ALL variables cancel and your statement is true it forms this type of solution.
What is many solutions?