Module 3.2 Equations w/ Special Solutions Pd 6

Module 3.2 Equations w/ Special Solutions

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What are Special Solutions?

3 types of solutions in equations...

• One solution: x = 7

• No solutions: 5 = 3

• Infinite Solutions: -2 = -2

Click below to watch a video of the question.

https://www.youtube.com/watch?v=JJ71khMvc3U

Multiple Choice

What is your answer to how many cards for the teacher and Leah to have the same number?

• One solution

• No solutions

• Infinite Solutions

Multiple Choice

What is your answer to how many cards will it take for the teacher and Mai to be equal?

• One Solution

• No Solutions

• Infinite Solutions

Poll

By saying the teacher and Mai have infinite solutions as an answer, would negative numbers still work?

• Yes

• No

• I'm not sure

Now let's solve the following equation and eliminate the fractions.

Click below to watch a video of the question.

https://www.youtube.com/watch?v=yzLJ0KelkBw

Multiple Choice

So, what is your answer?

• One Solution

• No Solutions

• Infinitely Solutions

Solve the equation and decide how many solutions.

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Click below to watch a video of the question.

https://youtu.be/o1r66MSbFwc

Multiple Choice

So, what is your answer?

• One Solution

• No Solutions

• Infinitely Solutions

Solve this equation by eliminating the decimals.

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Multiple Choice

So, what is your answer?

• One Solution

• No Solutions

• Infinitely Solutions

Real World Example

Jose draws an equilateral triangle with sides of x. Marin draws an equilateral triangle with sides 2 inches longer than Jose's. The perimeter of Marin's is 6 inches longer than Jose's.

Click below to watch a video of the question.

https://youtu.be/0ThHWeLH39g

Multiple Choice

So, what is your answer?

• One Solution

• No Solutions

• Infinitely Solutions

• All numbers greater than 0

Practice Time

Multiple Choice

Solve the equation

• No Solutions

• Infinite Solutions

• One Solution a = 4

• One Solution a = -4

Multiple Choice

Solve the equation

• No Solutions

• Infinite Solutions

• One Solution z = 1

• One Solution z = -1

Multiple Choice

Solve the equation

• No Solutions

• Infinite Solutions

• One Solution y = 4

• One Solution y = -4

Multiple Choice

Taylor orders a pizza for $16.50 plus $2 per topping. Sam orders a pizza for $13.25 plus $2 per topping.

How many toppings do they need to order for both pizzas to cost the same amount?

• 2 toppings

• 5 toppings

• No topping amount will make them equal

• Any topping amount will make them equal

Multiple Choice

Blake says that 4(x-1) = 12-4x has zero solutions. Is Blake correct? Why or Why not?

• Blake is wrong because x = 0.

• Blake is wrong because x = 8

• Blake is wrong because the equation has infinite solutions

• Blake is correct because the equation has no solutions