Lecture 7.1 - Ratios & Proportions

​7.1 - Ratios & Proportions

It's like Math 8 all over again, but spicier

​Ratio

→​ comparison of two quantities using division

Or the equivalent of getting bodied in the comments on the internet​

​Extended Ratio

→​ used to compare 3 or more quantities

Or the equivalent of getting bodied in the comments on the internet​, repeatedly

Multiple Choice

The cookie jar has six chocolate chip cookies, seven sugar cookies, and five oatmeal cookies. What is the Extended Ratio of sugar to oatmeal to chocolate chip cookies?

• 7 : 6 : 5

• 5 : 6 : 7

• 7 : 5 : 6

• 6 : 7 : 5

Multiple Choice

The cookie jar has six sugar cookies, eight chocolate chip cookies and five oatmeal cookies. What is the extended ratio of sugar to oatmeal to chocolate chip cookies?

• 6 : 5 : 8

• 5 : 6 : 8

• 6 : 8 : 5

• 8 : 6 : 5

Multiple Choice

A triangle’s angle measures are in the extended ratio of 2 : 4 : 9. Find the measures of the angles.

• 20^o, 40^o, 90^o

• 24^o, 48^o, 108^o

• 24^o, 32^o, 124^o

• 20^o, 40^o, 100^o

Multiple Choice

A triangle’s angle measures are in the extended ratio of 3 : 4 : 11. Find the measures of the angles.

• 30^o, 40^o, 90^o

• 30^o, 40^o, 110^o

• 10^o, 30^o, 140^o

• 40^o, 40^o, 100^o

Multiple Choice

The extended ratio of the sides of a triangle are 2:4:7. Find the length of the shortest side if the perimeter is 117 inches.

• 18 inches

• 9 inches

• 36 inches

• 63 inches

Multiple Choice

The ratio of the measures of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side.

• 126 inches

• 126

• 42 inches

• 42

​Proportion

→​ an equation stating two ratios are equal

Or the equivalent of getting bodied in the comments on the internet​ by two separate people, equally

Multiple Choice

Solve for c

• -7/2

• -2

• -1

• -13/2

Multiple Choice

Solve for k

• 165

• 17

• 1/17

• 1/165

Fill in the Blank

Solve for r $$\frac{\left(r-6\right)}{2}=\frac{\left(r+4\right)}{3}$$  

Fill in the Blank

Solve for m $$\frac{\left(m+8\right)}{-3}=\frac{\left(17-m\right)}{-2}$$  

Multiple Choice

Select the solution(s) to the proportion: $$\frac{8}{x}=\frac{x}{18}$$  

• -2 

• -8 and 8

• -12 and 12

• 12

Multiple Choice

Select the solution(s) to the proportion: $$\frac{x}{3}=\frac{2}{x-5}$$  

• -1

• -6 and -1

• -1 and 6

• 1 and -6

Multiple Choice

Select the solution(s) to the proportion: $$\frac{x-7}{12}=\frac{4x}{x+7}$$  

• -1 and 49

• 1 and -49

• 1 and 49

• -1 and -49

Multiple Choice

Select the solution(s) to the proportion: $$\frac{2x+2}{x+1}=\frac{x-2}{1}$$  

• -1 and 4

• -1

• 4

• -1 and -4

Multiple Choice

Select the solution(s) to the proportion: $$\frac{x-3}{2}=\frac{x}{x-6}$$  

• 9 and 2

• -9 and 2

• -9 and -2

• 9 and -2

Multiple Select

Select the solution(s) to the proportion.

• 3

• -1

• -3

• 1