Proportions

Proportions

Proportions

• A proportion is an equation stating that two ratios (fractions) are equal.

• If a proportion contains a variable, use cross multiplication and single-step algebra to find the missing value.

Multiple Choice

Solve for x.

 $\frac{2}{5}=\frac{x}{65}$  

• x = 16

• x =  $\frac{1}{26}$  

• x = 28

• x = 26
  
  

Multiple Choice

Solve the proportion:

 $\frac{2}{7}=\frac{c}{28}$  

• 4

• 14

• 8

• 10

Multiple Choice

Solve for the variable k.

 $\frac{k}{6}=\frac{15}{18}$  

• k = 5
  

• k = 60

• k =  $\frac{10}{3}$  

• k = 90

Multiple Choice

Solve the proportion:

 $\frac{8}{x}=\frac{12}{30}$  

• x = 15

• x =  $\frac{1}{11}$  

• x = 11

• x = 20

Multiple Choice

Solve the proportion.
 $\frac{a-6}{5}=\frac{7}{12}$  

•  $\frac{29}{12}$  

•  $\frac{107}{12}$  

•  $\frac{41}{12}$  

• 13

Multiple Choice

Solve for x.

 $\frac{x+3}{4}=\frac{7}{8}$  

•  $\frac{1}{2}$  

• 11

•  $\frac{25}{8}$  

•  $\frac{53}{4}$  

Multiple Choice

Solve the proportion:

 $\frac{8}{9}=\frac{w-2}{6}$  

•  $\frac{10}{3}$  

•  $\frac{46}{9}$  

•  $\frac{50}{9}$  

•  $\frac{22}{3}$  

Multiple Choice

Solve the equation for x:

 $\frac{40}{x+1}=\frac{15}{6}$  

• 17

• 15

• 16

• 14

Multiple Choice

Solve for x.

 $\frac{x-5}{7}=\frac{x-8}{11}$  

•  $x\ =\ -\frac{1}{4}$   

•  $x\ =\ -\frac{3}{4}$  

•  $x\ =\ \frac{1}{3}$  

•  $x\ =\ \frac{3}{4}$  

Multiple Choice

Solve the proportion:

 $\frac{8}{b+10}=\frac{4}{2b-7}$  

• b = 8

• b =  $\frac{4}{3}$  

• b =  $\frac{17}{12}$  

• b =  $\frac{1}{8}$  

Multiple Choice

Solve for k:

 $\frac{k+5}{10}=\frac{k-12}{9}$  

• 165
  

•  $\frac{1}{17}$  

• 17

•  $\frac{1}{165}$  

Multiple Choice

Solve the proportion:

 $\frac{8}{x-10}=\frac{4}{x+9}$  

• -9

• 9

• -28

• 4