Question 1

Write the following comparison as a ratio in simplest form using a fraction, a colon (:), and the word to. 33 feet to 9 feet

Accepted Answer

A)  $\frac { 33 } { 9 }$ 33 : 9 33 to 9 
B)  $\frac { 11 } { 3 }$ 11 : 3 11 to 3 
C)  $\frac { 9 } { 33 }$ 9 : 33 9 to 33 
D)  $\frac { 15 } { 55 }$ 15 : 55 15 to 55 
E)  $\frac { 3 } { 11 }$ 3 : 11 3 to 11 
A)  $\frac { 33 } { 9 }$ 33 : 9 33 to 9 
B)  $\frac { 11 } { 3 }$ 11 : 3 11 to 3 
C)  $\frac { 9 } { 33 }$ 9 : 33 9 to 33 
D)  $\frac { 15 } { 55 }$ 15 : 55 15 to 55 
E)  $\frac { 3 } { 11 }$ 3 : 11 3 to 11

Question 2

Determine whether the proportion is true or false. $\frac { 1 } { 3 } = \frac { 4 } { 8 }$

Accepted Answer

A) True 
 B)False

Question 3

Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to. 12 dollars to 66 dollars

Accepted Answer

A)  $\frac { 2 } { 11 }$ 2 : 11 2 to 11 
B)  $\frac { 11 } { 2 }$ 11 : 2 11 to 2 
C)  $\frac { 12 } { 66 }$ 12 : 66 12 to 66 
D)  $\frac { 2 } { 66 }$ 2 : 66 2 to 66 
E)  $\frac { 66 } { 12 }$ 66 : 12 66 to 12 
A)  $\frac { 2 } { 11 }$ 2 : 11 2 to 11 
B)  $\frac { 11 } { 2 }$ 11 : 2 11 to 2 
C)  $\frac { 12 } { 66 }$ 12 : 66 12 to 66 
D)  $\frac { 2 } { 66 }$ 2 : 66 2 to 66 
E)  $\frac { 66 } { 12 }$ 66 : 12 66 to 12

Question 4

You need to prepare a saline solution with a concentration of 2.18 grams of salt in 250 milliliters of distilled water. How much solution can you produce with 4.5 grams of salt?

Accepted Answer

A)  516.055 milliliters 
B)  496.055 milliliters 
C)  526.055 milliliters 
D)  521.055 milliliters 
E)  501.055 milliliters 
A)  516.055 milliliters 
B)  496.055 milliliters 
C)  526.055 milliliters 
D)  521.055 milliliters 
E)  501.055 milliliters

Question 5

For landscape maintenance, Gretchen Green uses 3 pounds of fertilizer for every 150 square feet of lawn. At this rate, how many pounds of fertilizer did she use on a lawn that measures 6750 square feet? Round to the nearest whole number.

Accepted Answer

A)  153 lb 
B)  150 lb 
C)  140 lb 
D)  135 lb 
E)  450 lb 
A)  153 lb 
B)  150 lb 
C)  140 lb 
D)  135 lb 
E)  450 lb

Question 6

In many medical offices, a 10% bleach solution is used as a disinfectant for cleaning the exam rooms. If $\frac { 1 } { 2 }$ cup of bleach is mixed with $3 \frac { 1 } { 2 }$ cups of water, how much bleach should be mixed with 7 cups of water in order to make a larger volume of this bleach solution?

Accepted Answer

A)  3 cups 
B)  1 cup 
C)  5 cups 
D)  2 cups 
E)  4 cups 
A)  3 cups 
B)  1 cup 
C)  5 cups 
D)  2 cups 
E)  4 cups

Question 7

A saline solution has a concentration ratio of 3.5 milligrams of salt in 100 milliliters of solution. How many milligrams of salt will be needed to produce 500 milliliters of a saline solution having this same concentration?

Accepted Answer

A)  19.5 milligrams 
B)  15 milligrams 
C)  17.5 milligrams 
D)  19 milligrams 
E)  16 milligrams 
A)  19.5 milligrams 
B)  15 milligrams 
C)  17.5 milligrams 
D)  19 milligrams 
E)  16 milligrams

Question 8

Calculate the dilution ratio of a solution of 9 milliliters of urine diluted with 891 milliliters of distilled water. Write the ratio in simplest form using a fraction.

Accepted Answer

A)  $\frac { 1 } { 100 }$ 
B)  $\frac { 1 } { 50 }$ 
C)  $\frac { 3 } { 100 }$ 
D)  $\frac { 1 } { 25 }$ 
E)  $\frac { 1 } { 20 }$ 
A)  $\frac { 1 } { 100 }$ 
B)  $\frac { 1 } { 50 }$ 
C)  $\frac { 3 } { 100 }$ 
D)  $\frac { 1 } { 25 }$ 
E)  $\frac { 1 } { 20 }$

Question 9

Solve. $\frac { 6 } { 20 } = \frac { n } { 50 }$

Accepted Answer

A)  6 
B)  1.5 
C)  2 
D)  15 
E)  7.5 
A)  6 
B)  1.5 
C)  2 
D)  15 
E)  7.5

Question 10

If 25 milliliters of alcohol is mixed with 1250 milliliters of water, what is the dilution ratio, in simplest form, of this solution?

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 10 }$ 
D)  $\frac { 1 } { 6 }$ 
E)  $\frac { 2 } { 3 }$ 
A)  $\frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 10 }$ 
D)  $\frac { 1 } { 6 }$ 
E)  $\frac { 2 } { 3 }$

Question 11

Determine whether the proportion is true or false. $\frac { 6 \text { minutes } } { 12 \text { cents } } = \frac { 5 \text { minutes } } { 10 \text { cents } }$

Accepted Answer

A) True 
 B)False

Question 12

Micah owns 240 shares of stock in his sister's company. The company declares a stock split of 6 shares for every 3 owned. How many shares of stock will Micah own after the stock split?

Accepted Answer

A)  720 
B)  480 
C)  485 
D)  120 
E)  18 
A)  720 
B)  480 
C)  485 
D)  120 
E)  18

Question 13

Write the phrase as a rate in simplest form. 1505 miles on 85 gallons

Accepted Answer

A)  $\frac { 1505 \text { gallons } } { 85 \text { miles } }$ 
B)  $\frac { 301 \text { miles } } { 17 \text { gallons } }$ 
C)  $\frac { 301 \text { gallons } } { 17 \text { miles } }$ 
D)  $\frac { 301 \text { miles } } { 85 \text { gallons } }$ 
E)  $\frac { 1505 \text { miles } } { 85 \text { gallons } }$ 
A)  $\frac { 1505 \text { gallons } } { 85 \text { miles } }$ 
B)  $\frac { 301 \text { miles } } { 17 \text { gallons } }$ 
C)  $\frac { 301 \text { gallons } } { 17 \text { miles } }$ 
D)  $\frac { 301 \text { miles } } { 85 \text { gallons } }$ 
E)  $\frac { 1505 \text { miles } } { 85 \text { gallons } }$

Question 14

Determine whether the proportion is true or false. $\frac { 20 \text { miles } } { 12 \text { minutes } } = \frac { 10 \text { miles } } { 6 \text { minutes } }$

Accepted Answer

A) True 
 B)False

Question 15

Solve. $\frac { n } { 25 } = \frac { 6 } { 10 }$

Accepted Answer

A)  2 
B)  6 
C)  15 
D)  1.5 
E)  7.5 
A)  2 
B)  6 
C)  15 
D)  1.5 
E)  7.5

Question 16

Write, as a fraction in simplest form, the ratio of 41650 miles of blood vessels in the human body to 85 miles of nerve cells.

Accepted Answer

A)  $\frac { 41650 } { 17 }$ 
B)  $\frac { 85 } { 17 }$ 
C)  $\frac { 5 } { 2450 }$ 
D)  $\frac { 17 } { 5 }$ 
E)  $\frac { 2450 } { 5 }$ 
A)  $\frac { 41650 } { 17 }$ 
B)  $\frac { 85 } { 17 }$ 
C)  $\frac { 5 } { 2450 }$ 
D)  $\frac { 17 } { 5 }$ 
E)  $\frac { 2450 } { 5 }$

Question 17

The dosage of a certain antibiotic prescribed by a doctor is determined by the weight of the patient in kilograms. If a patient who weighs 50 kilograms is given a shot containing 150 milligrams of this antibiotic, find the dosage rate for this medication in milligrams per kilogram.

Accepted Answer

A)  10 milligrams/kilogram 
B)  5 milligrams/kilogram 
C)  3 milligrams/kilogram 
D)  40 milligrams/kilogram 
E)  62 milligrams/kilogram 
A)  10 milligrams/kilogram 
B)  5 milligrams/kilogram 
C)  3 milligrams/kilogram 
D)  40 milligrams/kilogram 
E)  62 milligrams/kilogram

Question 18

The total nurse staffing hours per resident day at a local nursing home averaged 3.66 hours per resident day. If there are 60 residents in this nursing home, how many total nurse staffing hours are needed per resident day?

Accepted Answer

A)  157.6 nurse staffing hours 
B)  339.6 nurse staffing hours 
C)  219.6 nurse staffing hours 
D)  279.6 nurse staffing hours 
E)  159.6 nurse staffing hours 
A)  157.6 nurse staffing hours 
B)  339.6 nurse staffing hours 
C)  219.6 nurse staffing hours 
D)  279.6 nurse staffing hours 
E)  159.6 nurse staffing hours

Question 19

Write the phrase as a unit rate. $440.70 for 226 pounds

Accepted Answer

A)  $\frac{\$ 44070}{\text { pound }}$ 
B)  $\frac { \$ 1.95 } { 226 \text { pounds } }$ 
C)  $\frac { \$ 440.70 } { 226 \text { pounds } }$ 
D)  $\frac{\$ 1.95}{\text { pound }}$ 
E)  $\frac{\$ 226}{\text { pound }}$ 
A)  $\frac{\$ 44070}{\text { pound }}$ 
B)  $\frac { \$ 1.95 } { 226 \text { pounds } }$ 
C)  $\frac { \$ 440.70 } { 226 \text { pounds } }$ 
D)  $\frac{\$ 1.95}{\text { pound }}$ 
E)  $\frac{\$ 226}{\text { pound }}$

Question 20

Write the phrase as a rate in simplest form. 291 inches in 15 minutes

Accepted Answer

A)  $\frac{97 \text { inches }}{5 \text { minutes }}$ 
B)  $\frac{291\text { inches }}{5 \text { minutes }}$ 
C)  $\frac { 5 \text { minutes } } { 97 \text { inches } }$ 
D)  $\frac{291 \text { inches }}{5 \text { minutes }}$ 
E)  $\frac { 291 \text { minutes } } { 15 \text { inches } }$ 
A)  $\frac{97 \text { inches }}{5 \text { minutes }}$ 
B)  $\frac{291\text { inches }}{5 \text { minutes }}$ 
C)  $\frac { 5 \text { minutes } } { 97 \text { inches } }$ 
D)  $\frac{291 \text { inches }}{5 \text { minutes }}$ 
E)  $\frac { 291 \text { minutes } } { 15 \text { inches } }$

Write the following comparison as a ratio in simplest form using a fraction, a colon (:), and the word to. 33 feet to 9 feet

Determine whether the proportion is true or false. $\frac { 1 } { 3 } = \frac { 4 } { 8 }$

Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to. 12 dollars to 66 dollars

You need to prepare a saline solution with a concentration of 2.18 grams of salt in 250 milliliters of distilled water. How much solution can you produce with 4.5 grams of salt?

For landscape maintenance, Gretchen Green uses 3 pounds of fertilizer for every 150 square feet of lawn. At this rate, how many pounds of fertilizer did she use on a lawn that measures 6750 square feet? Round to the nearest whole number.

In many medical offices, a 10% bleach solution is used as a disinfectant for cleaning the exam rooms. If $\frac { 1 } { 2 }$ cup of bleach is mixed with $3 \frac { 1 } { 2 }$ cups of water, how much bleach should be mixed with 7 cups of water in order to make a larger volume of this bleach solution?

A saline solution has a concentration ratio of 3.5 milligrams of salt in 100 milliliters of solution. How many milligrams of salt will be needed to produce 500 milliliters of a saline solution having this same concentration?

Calculate the dilution ratio of a solution of 9 milliliters of urine diluted with 891 milliliters of distilled water. Write the ratio in simplest form using a fraction.

Solve. $\frac { 6 } { 20 } = \frac { n } { 50 }$

If 25 milliliters of alcohol is mixed with 1250 milliliters of water, what is the dilution ratio, in simplest form, of this solution?

Determine whether the proportion is true or false. $\frac { 6 \text { minutes } } { 12 \text { cents } } = \frac { 5 \text { minutes } } { 10 \text { cents } }$

Micah owns 240 shares of stock in his sister's company. The company declares a stock split of 6 shares for every 3 owned. How many shares of stock will Micah own after the stock split?

Write the phrase as a rate in simplest form. 1505 miles on 85 gallons

Determine whether the proportion is true or false. $\frac { 20 \text { miles } } { 12 \text { minutes } } = \frac { 10 \text { miles } } { 6 \text { minutes } }$

Solve. $\frac { n } { 25 } = \frac { 6 } { 10 }$

Write, as a fraction in simplest form, the ratio of 41650 miles of blood vessels in the human body to 85 miles of nerve cells.

The dosage of a certain antibiotic prescribed by a doctor is determined by the weight of the patient in kilograms. If a patient who weighs 50 kilograms is given a shot containing 150 milligrams of this antibiotic, find the dosage rate for this medication in milligrams per kilogram.

The total nurse staffing hours per resident day at a local nursing home averaged 3.66 hours per resident day. If there are 60 residents in this nursing home, how many total nurse staffing hours are needed per resident day?

Write the phrase as a unit rate. $440.70 for 226 pounds

Write the phrase as a rate in simplest form. 291 inches in 15 minutes

Whole Numbers

Fractions

Decimals

Percents

Applications for Business

Statistics and Probability

Us Units of Measurement

Metric System Measurement

Rational Numbers

Introduction to Algebra

Filters

Exam 4: Ratio and Proportion

Write the following comparison as a ratio in simplest form using a fraction, a colon (:), and the word to. 33 feet to 9 feet

Determine whether the proportion is true or false. 13=48\frac { 1 } { 3 } = \frac { 4 } { 8 }31​=84​

Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to. 12 dollars to 66 dollars

You need to prepare a saline solution with a concentration of 2.18 grams of salt in 250 milliliters of distilled water. How much solution can you produce with 4.5 grams of salt?

For landscape maintenance, Gretchen Green uses 3 pounds of fertilizer for every 150 square feet of lawn. At this rate, how many pounds of fertilizer did she use on a lawn that measures 6750 square feet? Round to the nearest whole number.

A saline solution has a concentration ratio of 3.5 milligrams of salt in 100 milliliters of solution. How many milligrams of salt will be needed to produce 500 milliliters of a saline solution having this same concentration?

Calculate the dilution ratio of a solution of 9 milliliters of urine diluted with 891 milliliters of distilled water. Write the ratio in simplest form using a fraction.

Solve. 620=n50\frac { 6 } { 20 } = \frac { n } { 50 }206​=50n​

If 25 milliliters of alcohol is mixed with 1250 milliliters of water, what is the dilution ratio, in simplest form, of this solution?

Determine whether the proportion is true or false. 6 minutes 12 cents =5 minutes 10 cents \frac { 6 \text { minutes } } { 12 \text { cents } } = \frac { 5 \text { minutes } } { 10 \text { cents } }12 cents 6 minutes ​=10 cents 5 minutes ​

Micah owns 240 shares of stock in his sister's company. The company declares a stock split of 6 shares for every 3 owned. How many shares of stock will Micah own after the stock split?

Write the phrase as a rate in simplest form. 1505 miles on 85 gallons

Determine whether the proportion is true or false. 20 miles 12 minutes =10 miles 6 minutes \frac { 20 \text { miles } } { 12 \text { minutes } } = \frac { 10 \text { miles } } { 6 \text { minutes } }12 minutes 20 miles ​=6 minutes 10 miles ​

Solve. n25=610\frac { n } { 25 } = \frac { 6 } { 10 }25n​=106​

Write, as a fraction in simplest form, the ratio of 41650 miles of blood vessels in the human body to 85 miles of nerve cells.

The dosage of a certain antibiotic prescribed by a doctor is determined by the weight of the patient in kilograms. If a patient who weighs 50 kilograms is given a shot containing 150 milligrams of this antibiotic, find the dosage rate for this medication in milligrams per kilogram.

The total nurse staffing hours per resident day at a local nursing home averaged 3.66 hours per resident day. If there are 60 residents in this nursing home, how many total nurse staffing hours are needed per resident day?

Write the phrase as a unit rate. $440.70 for 226 pounds

Write the phrase as a rate in simplest form. 291 inches in 15 minutes

Whole Numbers

Fractions

Decimals

Percents

Applications for Business

Statistics and Probability

Us Units of Measurement

Metric System Measurement

Rational Numbers

Introduction to Algebra

Filters

Determine whether the proportion is true or false. $\frac { 1 } { 3 } = \frac { 4 } { 8 }$

Solve. $\frac { 6 } { 20 } = \frac { n } { 50 }$

Determine whether the proportion is true or false. $\frac { 6 \text { minutes } } { 12 \text { cents } } = \frac { 5 \text { minutes } } { 10 \text { cents } }$

Determine whether the proportion is true or false. $\frac { 20 \text { miles } } { 12 \text { minutes } } = \frac { 10 \text { miles } } { 6 \text { minutes } }$

Solve. $\frac { n } { 25 } = \frac { 6 } { 10 }$