
Elimination!
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
Standards-aligned
Zoe Sueltenfuss
Used 3+ times
FREE Resource
8 Slides • 14 Questions
1
Elimination
(Or tests!)
2
2x - 4y = -10
3x + 4y = 5
3
Target Eliminated
4
Drag and Drop
3x + y = 19
2x - y = 6
What do you get when you add the equations together?
5
Math Response
Solve the system by elimination. What is the value of x?
3x + y = 19
2x - y = 6
6
Math Response
This is the same system from the previous slide. If x=5, what does y equal?
3x + y = 19
2x - y = 6
7
2x + 6y = 6
2x - y = -8
8
Target Eliminated
9
Multiple Choice
Solve the system by elimination. If we target the y's, what should we multiply the second equation by?
x + 6y = 17
x - 3y = 8
-1
2
-2
6
10
Multiple Choice
Solve the system by elimination. Let's multiply the second equation by 2. What will the new equation be?
x + 6y = 17
x - 3y = 8
2x - 3y = 8
2x - 5y = 10
2x - 6y = 16
2x - 2y = 12
11
Drag and Drop
x + 6y = 17
2x - 6y = 16
12
Multiple Choice
We've added our equations, and now we have:
3x + 0y = 33
We can simplify that into:
3x = 33
How can I get 3 by itself?
Subtract 33 - 3
Divide by 3
Add 33 + 3
Drop the 3
13
Math Response
3x = 33
So, what does x equal?
14
Multiple Choice
x + 6y = 17
2x - 6y = 16
Which of these shows the correct way to plug x = 11 into the second equation?
2(11) - 6y = 16
2x - 6(11) = 16
11 - 6y = 16
2x - 11 = 16
15
Reorder
After we plug in x = 11,
2(11) - 6y = 16,
what are the next steps?
Simplify 2(11)
22 - 6y = 16
Subtract 22 from both sides
-6y = -6
Divide both sides by -6
16
Math Response
2(11) - 6y = 16
So what is the value for y?
17
3x + 8y = 7
2x - 2y = -10
18
Target Eliminated
19
20
Multiple Choice
A student solves the system and gets to the answer 0 = 0. What does this tell you about the system?
The answer tells you x and y, so the solution: (0, 0)
The answer is a false statement, so
there is no solution
The answer is a true statement, so there are infinitely many solutions
21
Multiple Choice
A student solves the system and gets to the answer 0 = -5. What does this tell you about the system?
The answer tells you x and y, so the solution: (0, -5)
The answer is a false statement, so
there is no solution
The answer is a true statement, so there are infinitely many solutions
22
Match
Please match each system to the type of solution
No solution
Infinitely many solutions
One solution
No solution
Infinitely many solutions
One solution
Elimination
(Or tests!)
Show answer
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