Multiples of Equations

Presentation

•

Mathematics

•

8th - 11th Grade

•

Hard

Kevin Stapleton-Cloud

Used 5+ times

FREE Resource

4 Slides • 7 Questions

Systems of equations

How to determine if systems have 1 solution, infinite soultions, or no solution.

If variables AND numbers in the equations are multiples of another another, then the solution is INFINITE!

4x\ +\ 2y\ =\ 10,\ 2x\ +\ y\ =\ 5

Multiple Select

Which equations are multiples of one another?

x + 2y = 8

3x - 9y = 6

4x + y = -8

8x + 2y = =-16

x - 5y = 3

-2x + 10y = -6

8x - 5y = 12

-3x - 4y = -3

If ONLY the variables are multiples of one another, then the answer is NO SOLUTION

x\ -3y\ =\ 2,\ -4x\ +\ 12y\ =\ 5

Multiple Select

Which equations has variables that are multiples ONLY?

5x + y = 3

2x - 7y = 9

5x - 3y = 10

-10x +6y = 0

4x + 8y = -10

2x + 4y = -5

-x - 2y = 11

-2x - 4y = -7

If the variables ARE NOT mutltiples of one another, then there is ONE SOLUTION

$4x\ -\ 3y\ =\ -2\ ,\ -5x\ +9y\ =\ 14$

Multiple Select

Which equations are NOT multiples of one another of any kind?

x - 3y = 2

4x - 12y = -4

4x - 2y = 2

-6x + 3y = -3

5x + 9y = 1

-3x + y = -14

x - y = 5

x + y = 6

Multiple Choice

Which system has INFINITE SOLUTIONS

6x + 2y = -8

5x + 10y = -15

-5x - 10y = -15

x + 2y = 5

-9x + y = 5

-18x + 2y = 0

Multiple Choice

Which system only has ONE solution?

7x - y = 2

-7x + y = 40

3x + 2y = 10

6x - 5y = 20

8x + 6y = -20

-4x - 3y = -10

Multiple Choice

Which of the following systems has NO solutions?

6x - 8y = 2

15x - 20y = 17

3x - 7y = - 5

-3x +4y = 2

x - y = 2

-5x - 5y = 10

Poll

Which type of problem do you feel is the hardest to identify?

Infinite Solutions

No Solution

ONE solution

Some or all of them

Systems of equations

How to determine if systems have 1 solution, infinite soultions, or no solution.

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