Solve by Graphing
Solve by Substitution
Solve by Elimination
Mixed
Other Topics
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
What strategy would you use?
14x + 2y = 26
-14x - 6y = -50
Elimination
100
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
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
If we add these equations together, both x and y are eliminated. Leaving us with 0 = 9, which is impossible
200
What strategy would you use? Bonus 200 points, if you can solve it!
-5x - 5y = 10
y = -4x -17
Substitution
Point of Intersection is (-5,3)
200
Is the given point a solution to the system of equations?
Point: (-2, -2)
6x + 5y = -7
2x - 4y = -8
No
However, (-2,1) is a solution
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 system of linear equations below?
3x - y = 19
-3x + y = 10
No Solutions
300
What are the three types of Solutions we have learned about with Systems of Equations?
Draw an example of each, with correct labels
Infinite Solutions: Should be two lines that are the exact same
Zero Solutions: Two parallel lines that do not intersect
One Solution: Two lines that intersect at one point
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations using substitution:
-8x - 5y = -24
y = -x +10
(-2, 8)
400
Solve the systems of equations using Elimination:
3x + 24y = 66
3x + 4y = -14
(-10, 4)
400
How many solution would the following System of Equations have? No work required
2x - 4y = 12
2x + 14y = 23
No Solutions
They have the same slope, (the coefficient in front of x) they are parallel
400
Solve using Elimination
-3x +2y = 21
6x + 13y = 9
We first need to multiple the top equation by 2, making the coefficients of x opposite. Once we add them together we can solve for y, then x
(-5,3)
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
There are the same line, all that's different is that the second equation was multiplied by 2
500
Solve the systems of equations using Elimination:
-15x + 6y = -36
8x - 6y = 22
(2, -1)
500
How many solutions would the following Systems of Equations have?
5x - 13y = 1
10x -26y = 2
Infinite Solutions
They are the same line, because the second equation is just the first line multiplied by 2
500
Write two equations that have an infinite number of solutions. Everything must be correctly labeled
This is just my example, but there are an infinite number of options you can choose. But everything must be the same for both equations
y = 3x + 4 (Start at positive 4, place a point, go up 3 and one to the right, place the second point, connect)
y = 6x + 8 (Start at positive 8, place a point, go up six and one to the right, place the second point, connect)