Proportional Equations

Proportional Equations

Good Morning today November 9

• Go over Proportional Equations

• Assignment on Proportional Equations is posted

Poll

Would you rather spend the rest of your life with a sailboat as your home or an RV as your home?

• Sail Boat

• RV

Multiple Choice

Cross multiply this proportion:

 $\frac{3}{x}=\frac{5}{2}$  

• 5x = 6

• 3x = 10

• 2x = 15

• x = 5

Multiple Choice

Cross multiply this proportion

 $\frac{2x}{3}=\frac{8}{4}$  

• 4x = 12

• 6x  = 24

• 8x = 24

• 3x = 15

Multiple Choice

Cross multiply this proportion

 $\frac{\left(y-3\right)}{2}=\frac{y}{5}$  

• 5y = 2(y-3)

• 10 = y(y-3)

• 5(y-3) = 2y

Multiple Choice

Distribute both sides

5(y-3) = 2y

• 5y -15 = 2y

• 5y - 3 = 2y

• 5y + 3 = 2y

Multiple Choice

Get the variable to one side and solve for y:

5y -15 = 2y

• y = 15

• y = 5

• y = -5

Multiple Choice

Cross multiply

 $\frac{\left(x-3\right)}{3}=\frac{\left(x+2\right)}{4}$  

• 3(x - 3) = 4(x + 2)

• (x -3)(x + 2) = 12

• 4(x - 3) = 3(x + 2)

Multiple Choice

Distribute:

4(x - 3) = 3(x + 2)

• 4x + 3 = 3x + 2

• 4x - 12 = 3x + 6

• 4x - 3 = 3x + 2

Multiple Choice

Get the Variable to one side:

4x - 12 = 3x + 6

• 7x + 3 = 2

• 5x - 12 = 3x + 6

• x - 12 = 6

Multiple Choice

Solve for x:

x - 12 = 6

• x =18

• x = 12

• x = 10

Poll

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• Its okay but i have some issues

• Love it

Open Ended

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Fill in the Blanks

Solve the proportion

 $\frac{\left(x+3\right)}{4}=\frac{\left(3x+2\right)}{10}$  

Assignment is posted to Google Classroom

You may just complete the odds for full credit. Full video and completed notes are posted to help you.