Question 1

Calculate the dilution ratio of a solution of 100 microliters of serum diluted with 900 microliters of saline. Write the ratio in simplest form using a fraction.

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 2 } { 5 }$ 
C)  $\frac { 3 } { 11 }$ 
D)  $\frac { 1 } { 10 }$ 
E)  $\frac { 3 } { 10 }$ 
A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 2 } { 5 }$ 
C)  $\frac { 3 } { 11 }$ 
D)  $\frac { 1 } { 10 }$ 
E)  $\frac { 3 } { 10 }$ D

Question 2

As a lab technician, you need to make an alcohol solution that has a dilution ratio of $\frac { 1 } { 80 }$ . If you have 3.1 milliliters of alcohol, how much of this solution can you make?

Accepted Answer

A)  258 milliliters 
B)  248 milliliters 
C)  263 milliliters 
D)  253 milliliters 
E)  233 milliliters 
A)  258 milliliters 
B)  248 milliliters 
C)  263 milliliters 
D)  253 milliliters 
E)  233 milliliters B

Question 3

The dosage of a certain medication is $\frac { 1 } { 6 }$ ounce for every 52 pounds of body weight. How many ounces of this medication are required for a person who weighs 170 pounds? Write the answer as a decimal.

Accepted Answer

A)  0.545 ounce 
B)  0.720 ounce 
C)  0.695 ounce 
D)  0.560 ounce 
E)  0.670 ounce 
A)  0.545 ounce 
B)  0.720 ounce 
C)  0.695 ounce 
D)  0.560 ounce 
E)  0.670 ounce A

Question 4

There are 104 calories in $\frac { 1 } { 3 }$ cup of long-grain brown rice. How many calories are in 1 cups of long-grain brown rice?

Accepted Answer

A)  312 calories 
B)  314 calories 
C)  304 calories 
D)  308 calories 
E)  317 calories 
A)  312 calories 
B)  314 calories 
C)  304 calories 
D)  308 calories 
E)  317 calories

Question 5

Solve. $\frac { 12 } { n } = \frac { 60 } { 35 }$

Accepted Answer

A)  420 
B)  3.5 
C)  35 
D)  7 
E)  720 
A)  420 
B)  3.5 
C)  35 
D)  7 
E)  720

Question 6

A newspaper survey showed that 2 out of every 5 eligible voters did vote in the town election. At this rate, how many people in a town of 450,000 eligible voters voted in the election?

Accepted Answer

A)  1,125,000 
B)  270,000 
C)  170,000 
D)  180,000 
E)  449,995 
A)  1,125,000 
B)  270,000 
C)  170,000 
D)  180,000 
E)  449,995

Question 7

Land acreage with an original value of $44,000 increases in value to $55,000 in 7 years. 
a) Find the increase in the value of the land.
b) What is the ratio of the increase in value to the original value of the land?

Accepted Answer

A)  a) $11,000; b) $\frac { 4 } { 1 }$ 
B)  a) $99,000; b) $\frac { 1 } { 4 }$ 
C)  a) $11,000; b) $\frac { 1 } { 4 }$ 
D)  a) $99,000; b) $\frac { 4 } { 1 }$ 
E)  a) $11,000; b) $\frac { 1 } { 8 }$ 
A)  a) $11,000; b) $\frac { 4 } { 1 }$ 
B)  a) $99,000; b) $\frac { 1 } { 4 }$ 
C)  a) $11,000; b) $\frac { 1 } { 4 }$ 
D)  a) $99,000; b) $\frac { 4 } { 1 }$ 
E)  a) $11,000; b) $\frac { 1 } { 8 }$

Question 8

Fifty shares of a healthcare stock pay a dividend of 63.1. At the same rate, what is the dividend paid on 600 shares of the healthcare stock?

Accepted Answer

A)  $782.2 
B)  $799.2 
C)  $757.2 
D)  $783.2 
E)  $793.2 
A)  $782.2 
B)  $799.2 
C)  $757.2 
D)  $783.2 
E)  $793.2

Question 9

Determine whether the proportion is true or false. $\frac { 3 \text { miles } } { 12 \text { hours } } = \frac { 6 \text { miles } } { 19 \text { hours } }$

Accepted Answer

A) True 
 B)False

Question 10

In his truck, Robert can drive 74.5 miles on 2 gallons of gas. Find the distance that Robert's truck can travel on 10 gallons of gas. Round to the nearest hundredth.

Accepted Answer

A)  74.77 miles 
B)  14.90 miles 
C)  372.50 miles 
D)  378.50 miles 
E)  149.00 miles 
A)  74.77 miles 
B)  14.90 miles 
C)  372.50 miles 
D)  378.50 miles 
E)  149.00 miles

Question 11

Determine whether the proportion is true or false. $\frac { 11 \text { tiles } } { 3 \text { feet } } = \frac { 56 \text { tiles } } { 15 \text { feet } }$

Accepted Answer

A) True 
 B)False

Question 12

A prescription-strength medication contains 250 milligrams of acetaminophen in each tablet. If a patient takes two tablets two times a day for three days, how many milligrams of acetaminophen has the patient ingested?

Accepted Answer

A)  3050 milligrams 
B)  3000 milligrams 
C)  3150 milligrams 
D)  2950 milligrams 
E)  3100 milligrams 
A)  3050 milligrams 
B)  3000 milligrams 
C)  3150 milligrams 
D)  2950 milligrams 
E)  3100 milligrams

Question 13

Solve. Round to the nearest hundredth. $\frac { n } { 10 } = \frac { 11 } { 23 }$

Accepted Answer

A)  0.48 
B)  25.30 
C)  1.10 
D)  4.78 
E)  110.00 
A)  0.48 
B)  25.30 
C)  1.10 
D)  4.78 
E)  110.00

Question 14

Write the phrase as a rate in simplest form. $102 for 6 pieces

Accepted Answer

A)  $\frac { 6 \text { pieces } } { \$ 102 }$ 
B)  $\frac { \$ 1 } { 17 \text { pieces } }$ 
C)  $\frac { \$ 102 } { 2 \text { pieces } }$ 
D)  $\frac { \$ 17 } { 1 \text { piece } }$ 
E)  $\frac { \$ 102 } { 6 \text { pieces } }$ 
A)  $\frac { 6 \text { pieces } } { \$ 102 }$ 
B)  $\frac { \$ 1 } { 17 \text { pieces } }$ 
C)  $\frac { \$ 102 } { 2 \text { pieces } }$ 
D)  $\frac { \$ 17 } { 1 \text { piece } }$ 
E)  $\frac { \$ 102 } { 6 \text { pieces } }$

Question 15

Using the data given below and a figure of 350 million for the number of Americans, determine the number of morbidly obese Americans.

Accepted Answer

A)  8,000,000 Americans 
B)  6,000,000 Americans 
C)  9,000,000 Americans 
D)  7,000,000 Americans 
E)  5,000,000 Americans 
A)  8,000,000 Americans 
B)  6,000,000 Americans 
C)  9,000,000 Americans 
D)  7,000,000 Americans 
E)  5,000,000 Americans

Question 16

Samantha can buy $10,000 of life insurance for $34.68 per month. At this rate, what is the monthly cost of $30,000 of life insurance?

Accepted Answer

A)  $11.56 
B)  $104.04 
C)  $109.04 
D)  $865.05 
E)  $37.68 
A)  $11.56 
B)  $104.04 
C)  $109.04 
D)  $865.05 
E)  $37.68

Question 17

Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to. 81 pounds to 18 pounds

Accepted Answer

A)  $\frac { 81 } { 18 }$ 81 : 18 81 to 18 
B)  $\frac { 2 } { 9 }$ 2 : 9 2 to 9 
C)  $\frac { 18 } { 81 }$ 18 : 81 18 to 81 
D)  $\frac { 9 } { 2 }$ 9 : 2 9 to 2 
E)  $\frac { 9 } { 18 }$ 9 : 18 9 to 18 
A)  $\frac { 81 } { 18 }$ 81 : 18 81 to 18 
B)  $\frac { 2 } { 9 }$ 2 : 9 2 to 9 
C)  $\frac { 18 } { 81 }$ 18 : 81 18 to 81 
D)  $\frac { 9 } { 2 }$ 9 : 2 9 to 2 
E)  $\frac { 9 } { 18 }$ 9 : 18 9 to 18

Question 18

Write the phrase as a unit rate. $24 earned in 3 hours

Accepted Answer

A)  $\frac { 8 \text { hours } } { \text { dollar } }$ 
B)  $\frac { 24 \text { dollars } } { 3 \text { hours } }$ 
C)  $\frac { 8 \text { dollars } ^ { 2 } } { \text { hour } }$ 
D)  $\frac { 1 \text { dollar } } { 8 \text { hours } }$ 
E)  $\frac { 72 \text { dollars } } { \text { hour } }$ 
A)  $\frac { 8 \text { hours } } { \text { dollar } }$ 
B)  $\frac { 24 \text { dollars } } { 3 \text { hours } }$ 
C)  $\frac { 8 \text { dollars } ^ { 2 } } { \text { hour } }$ 
D)  $\frac { 1 \text { dollar } } { 8 \text { hours } }$ 
E)  $\frac { 72 \text { dollars } } { \text { hour } }$

Question 19

A doctor prescribe 400 milligrams of ibuprofen two times a day for a patient with arthritis. The strength of the liquid form of ibuprofen is 100 milligrams/2 milliliters of liquid. How many milliliters of liquid should be consumed by the patient for a single dose? How many milliliters will be consumed in a single day?

Accepted Answer

A)  10 milliliters/dose; 18 milliliters/day 
B)  9 milliliters/dose; 17 milliliters/day 
C)  8 milliliters/dose; 16 milliliters/day 
D)  5 milliliters/dose; 13 milliliters/day 
E)  4 milliliters/dose; 12 milliliters/day 
A)  10 milliliters/dose; 18 milliliters/day 
B)  9 milliliters/dose; 17 milliliters/day 
C)  8 milliliters/dose; 16 milliliters/day 
D)  5 milliliters/dose; 13 milliliters/day 
E)  4 milliliters/dose; 12 milliliters/day

Question 20

A research scientist estimates that the human body contains 238 pounds of water for every 119 pounds of body weight. At this rate, estimate the number of pounds of water in a college student who weighs 102 pounds.

Accepted Answer

A)  204 pounds 
B)  203 pounds 
C)  201 pounds 
D)  206 pounds 
E)  208 pounds 
A)  204 pounds 
B)  203 pounds 
C)  201 pounds 
D)  206 pounds 
E)  208 pounds

Calculate the dilution ratio of a solution of 100 microliters of serum diluted with 900 microliters of saline. Write the ratio in simplest form using a fraction.

As a lab technician, you need to make an alcohol solution that has a dilution ratio of $\frac { 1 } { 80 }$ . If you have 3.1 milliliters of alcohol, how much of this solution can you make?

The dosage of a certain medication is $\frac { 1 } { 6 }$ ounce for every 52 pounds of body weight. How many ounces of this medication are required for a person who weighs 170 pounds? Write the answer as a decimal.

There are 104 calories in $\frac { 1 } { 3 }$ cup of long-grain brown rice. How many calories are in 1 cups of long-grain brown rice?

Solve. $\frac { 12 } { n } = \frac { 60 } { 35 }$

A newspaper survey showed that 2 out of every 5 eligible voters did vote in the town election. At this rate, how many people in a town of 450,000 eligible voters voted in the election?

Land acreage with an original value of $44,000 increases in value to $55,000 in 7 years. a) Find the increase in the value of the land. b) What is the ratio of the increase in value to the original value of the land?

Fifty shares of a healthcare stock pay a dividend of 63.1. At the same rate, what is the dividend paid on 600 shares of the healthcare stock?

Determine whether the proportion is true or false. $\frac { 3 \text { miles } } { 12 \text { hours } } = \frac { 6 \text { miles } } { 19 \text { hours } }$

In his truck, Robert can drive 74.5 miles on 2 gallons of gas. Find the distance that Robert's truck can travel on 10 gallons of gas. Round to the nearest hundredth.

Determine whether the proportion is true or false. $\frac { 11 \text { tiles } } { 3 \text { feet } } = \frac { 56 \text { tiles } } { 15 \text { feet } }$

A prescription-strength medication contains 250 milligrams of acetaminophen in each tablet. If a patient takes two tablets two times a day for three days, how many milligrams of acetaminophen has the patient ingested?

Solve. Round to the nearest hundredth. $\frac { n } { 10 } = \frac { 11 } { 23 }$

Write the phrase as a rate in simplest form. $102 for 6 pieces

Using the data given below and a figure of 350 million for the number of Americans, determine the number of morbidly obese Americans.

Samantha can buy $10,000 of life insurance for $34.68 per month. At this rate, what is the monthly cost of $30,000 of life insurance?

Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to. 81 pounds to 18 pounds

Write the phrase as a unit rate. $24 earned in 3 hours

A research scientist estimates that the human body contains 238 pounds of water for every 119 pounds of body weight. At this rate, estimate the number of pounds of water in a college student who weighs 102 pounds.

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Exam 4: Ratio and Proportion

Calculate the dilution ratio of a solution of 100 microliters of serum diluted with 900 microliters of saline. Write the ratio in simplest form using a fraction.

As a lab technician, you need to make an alcohol solution that has a dilution ratio of 180\frac { 1 } { 80 }801​ . If you have 3.1 milliliters of alcohol, how much of this solution can you make?

The dosage of a certain medication is 16\frac { 1 } { 6 }61​ ounce for every 52 pounds of body weight. How many ounces of this medication are required for a person who weighs 170 pounds? Write the answer as a decimal.

There are 104 calories in 13\frac { 1 } { 3 }31​ cup of long-grain brown rice. How many calories are in 1 cups of long-grain brown rice?

Solve. 12n=6035\frac { 12 } { n } = \frac { 60 } { 35 }n12​=3560​

A newspaper survey showed that 2 out of every 5 eligible voters did vote in the town election. At this rate, how many people in a town of 450,000 eligible voters voted in the election?

Land acreage with an original value of $44,000 increases in value to $55,000 in 7 years. a) Find the increase in the value of the land. b) What is the ratio of the increase in value to the original value of the land?

Fifty shares of a healthcare stock pay a dividend of 63.1. At the same rate, what is the dividend paid on 600 shares of the healthcare stock?

Determine whether the proportion is true or false. 3 miles 12 hours =6 miles 19 hours \frac { 3 \text { miles } } { 12 \text { hours } } = \frac { 6 \text { miles } } { 19 \text { hours } }12 hours 3 miles ​=19 hours 6 miles ​

In his truck, Robert can drive 74.5 miles on 2 gallons of gas. Find the distance that Robert's truck can travel on 10 gallons of gas. Round to the nearest hundredth.

Determine whether the proportion is true or false. 11 tiles 3 feet =56 tiles 15 feet \frac { 11 \text { tiles } } { 3 \text { feet } } = \frac { 56 \text { tiles } } { 15 \text { feet } }3 feet 11 tiles ​=15 feet 56 tiles ​

A prescription-strength medication contains 250 milligrams of acetaminophen in each tablet. If a patient takes two tablets two times a day for three days, how many milligrams of acetaminophen has the patient ingested?

Solve. Round to the nearest hundredth. n10=1123\frac { n } { 10 } = \frac { 11 } { 23 }10n​=2311​

Write the phrase as a rate in simplest form. $102 for 6 pieces

Using the data given below and a figure of 350 million for the number of Americans, determine the number of morbidly obese Americans.

Samantha can buy $10,000 of life insurance for $34.68 per month. At this rate, what is the monthly cost of $30,000 of life insurance?

Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to. 81 pounds to 18 pounds

Write the phrase as a unit rate. $24 earned in 3 hours

A research scientist estimates that the human body contains 238 pounds of water for every 119 pounds of body weight. At this rate, estimate the number of pounds of water in a college student who weighs 102 pounds.

Whole Numbers

Fractions

Decimals

Percents

Applications for Business

Statistics and Probability

Us Units of Measurement

Metric System Measurement

Rational Numbers

Introduction to Algebra

Filters

As a lab technician, you need to make an alcohol solution that has a dilution ratio of $\frac { 1 } { 80 }$ . If you have 3.1 milliliters of alcohol, how much of this solution can you make?

The dosage of a certain medication is $\frac { 1 } { 6 }$ ounce for every 52 pounds of body weight. How many ounces of this medication are required for a person who weighs 170 pounds? Write the answer as a decimal.

There are 104 calories in $\frac { 1 } { 3 }$ cup of long-grain brown rice. How many calories are in 1 cups of long-grain brown rice?

Solve. $\frac { 12 } { n } = \frac { 60 } { 35 }$

Determine whether the proportion is true or false. $\frac { 3 \text { miles } } { 12 \text { hours } } = \frac { 6 \text { miles } } { 19 \text { hours } }$

Determine whether the proportion is true or false. $\frac { 11 \text { tiles } } { 3 \text { feet } } = \frac { 56 \text { tiles } } { 15 \text { feet } }$

Solve. Round to the nearest hundredth. $\frac { n } { 10 } = \frac { 11 } { 23 }$