Question 1

Simplify: $\left( \frac { 2 } { 3 } \right) \left( \frac { 1 } { 2 } \right) ^ { 4 }$

Accepted Answer

A)  $\frac { 1 } { 12 }$ 
B)  $\frac { 1 } { 24 }$ 
C)  $\frac { 1 } { 48 }$ 
D)  $\frac { 1 } { 6 }$ 
E)  $\frac { 3 } { 32 }$ 
A)  $\frac { 1 } { 12 }$ 
B)  $\frac { 1 } { 24 }$ 
C)  $\frac { 1 } { 48 }$ 
D)  $\frac { 1 } { 6 }$ 
E)  $\frac { 3 } { 32 }$

Question 2

A family budgets $\frac { 1 } { 3 }$ of its monthly income of $2250 per month for housing and utilities. 
a. What amount is budgeted for housing and utilities?
b. What amount remains for purposes other than housing and utilities?

Accepted Answer

A)  (a)$250; (b)$2000 
B)  (a)$250; (b)$1500 
C)  (a)$1000; (b)$1250 
D)  (a)$750; (b)$1500 
E)  (a)$1500; (b)$750 
A)  (a)$250; (b)$2000 
B)  (a)$250; (b)$1500 
C)  (a)$1000; (b)$1250 
D)  (a)$750; (b)$1500 
E)  (a)$1500; (b)$750

Question 3

Add: $2 + 3 \frac { 1 } { 2 }$

Accepted Answer

A)  $6 \frac { 1 } { 2 }$ 
B)  $5 \frac { 1 } { 2 }$ 
C)  $6 \frac { 1 } { 8 }$ 
D)  $5 \frac { 1 } { 8 }$ 
E)  $6 \frac { 1 } { 20 }$ 
A)  $6 \frac { 1 } { 2 }$ 
B)  $5 \frac { 1 } { 2 }$ 
C)  $6 \frac { 1 } { 8 }$ 
D)  $5 \frac { 1 } { 8 }$ 
E)  $6 \frac { 1 } { 20 }$

Question 4

What is $4 \frac { 3 } { 8 }$ times $4 \frac { 1 } { 4 }$ ?

Accepted Answer

A)  $18 \frac { 19 } { 32 }$ 
B)  $18 \frac { 19 } { 64 }$ 
C)  $18 \frac { 21 } { 32 }$ 
D)  $18 \frac { 23 } { 64 }$ 
E)  $18 \frac { 23 } { 32 }$ 
A)  $18 \frac { 19 } { 32 }$ 
B)  $18 \frac { 19 } { 64 }$ 
C)  $18 \frac { 21 } { 32 }$ 
D)  $18 \frac { 23 } { 64 }$ 
E)  $18 \frac { 23 } { 32 }$

Question 5

Multiply: $4 \frac { 5 } { 7 } \times 4$

Accepted Answer

A)  $4 \frac { 5 } { 7 }$ 
B)  $5 \frac { 5 } { 7 }$ 
C)  $18 \frac { 5 } { 7 }$ 
D)  $18 \frac { 6 } { 7 }$ 
E)  $\frac { 5 } { 7 }$ 
A)  $4 \frac { 5 } { 7 }$ 
B)  $5 \frac { 5 } { 7 }$ 
C)  $18 \frac { 5 } { 7 }$ 
D)  $18 \frac { 6 } { 7 }$ 
E)  $\frac { 5 } { 7 }$

Question 6

Subtract: $\begin{array}{r}
7 \
-\quad 2 \frac{8}{9} \
\hline
\end{array}$

Accepted Answer

A)  $4 \frac { 1 } { 9 }$ 
B)  $3 \frac { 1 } { 9 }$ 
C)  $3 \frac { 8 } { 9 }$ 
D)  $4 \frac { 8 } { 9 }$ 
E)  $5 \frac { 8 } { 9 }$ 
A)  $4 \frac { 1 } { 9 }$ 
B)  $3 \frac { 1 } { 9 }$ 
C)  $3 \frac { 8 } { 9 }$ 
D)  $4 \frac { 8 } { 9 }$ 
E)  $5 \frac { 8 } { 9 }$

Question 7

A nursing home cafeteria director purchases white sugar in 50-pound bags. Each bag of sugar contains about 80 cups. If it takes $1 \frac { 1 } { 3 }$ cups of sugar for every gallon of sweet tea served, how many gallons of tea can be made with 50 pounds of sugar?

Accepted Answer

A)  60 gallons of tea 
B)  61 gallons of tea 
C)  59 gallons of tea 
D)  62 gallons of tea 
E)  58 gallons of tea 
A)  60 gallons of tea 
B)  61 gallons of tea 
C)  59 gallons of tea 
D)  62 gallons of tea 
E)  58 gallons of tea

Question 8

The Booster Club is making 20 capes for the members of the high school marching band. Each cape is $1 \frac { 5 } { 8 }$ yards of material at a cost of $16 per yard. Find the total cost of the material.

Accepted Answer

A)  $325 
B)  $10 
C)  $320 
D)  $26 
E)  $520 
A)  $325 
B)  $10 
C)  $320 
D)  $26 
E)  $520

Question 9

A patient is to receive an IV infusion of 500 milliliters of normal saline over a period of 12 hours. A nurse checks on the patient after $\frac { 2 } { 4 }$ of the bag has been infused. How many milliliters of fluid has the patient received? How many hours have passed since the IV was started?

Accepted Answer

A)  250 milliliters; 6 hours 
B)  500 milliliters; 12 hours 
C)  510 milliliters; 14 hours 
D)  300 milliliters; 9 hours 
E)  250 milliliters; 9 hours 
A)  250 milliliters; 6 hours 
B)  500 milliliters; 12 hours 
C)  510 milliliters; 14 hours 
D)  300 milliliters; 9 hours 
E)  250 milliliters; 9 hours

Question 10

A car traveled 63 miles in $2 \frac { 1 } { 4 }$ hours. What was the car's average speed in miles per hour?

Accepted Answer

A)  10 mph 
B)  31 mph 
C)  141 mph 
D)  126 mph 
E)  28 mph 
A)  10 mph 
B)  31 mph 
C)  141 mph 
D)  126 mph 
E)  28 mph

Question 11

Divide: $\frac { 3 } { 5 } \div 3 \frac { 6 } { 11 }$

Accepted Answer

A)  $2 \frac { 14 } { 55 }$ 
B)  $2 \frac { 7 } { 55 }$ 
C)  $\frac { 11 } { 130 }$ 
D)  $\frac { 11 } { 65 }$ 
E)  $\frac { 22 } { 65 }$ 
A)  $2 \frac { 14 } { 55 }$ 
B)  $2 \frac { 7 } { 55 }$ 
C)  $\frac { 11 } { 130 }$ 
D)  $\frac { 11 } { 65 }$ 
E)  $\frac { 22 } { 65 }$

Question 12

What is $11 \frac { 5 } { 12 }$ minus $7 \frac { 1 } { 9 }$ ?

Accepted Answer

A)  $11 \frac { 11 } { 36 }$ 
B)  $3 \frac { 11 } { 36 }$ 
C)  $3 \frac { 11 } { 180 }$ 
D)  $4 \frac { 11 } { 36 }$ 
E)  $4 \frac { 11 } { 180 }$ 
A)  $11 \frac { 11 } { 36 }$ 
B)  $3 \frac { 11 } { 36 }$ 
C)  $3 \frac { 11 } { 180 }$ 
D)  $4 \frac { 11 } { 36 }$ 
E)  $4 \frac { 11 } { 180 }$

Question 13

A certified nurse assistant weighs a patient who is admitted to a nursing facility. The patient's initial weight is 110 pounds, and she gains $1 \frac { 5 } { 4 }$ pounds, $\frac { 1 } { 2 }$ pound, and $\frac { 5 } { 4 }$ pound during the next three months. What is the patient's total weight at the end of three months?

Accepted Answer

A)  114 pounds 
B)  116 pounds 
C)  117 pounds 
D)  113 pounds 
E)  112 pounds 
A)  114 pounds 
B)  116 pounds 
C)  117 pounds 
D)  113 pounds 
E)  112 pounds

Question 14

A car used $14 \frac { 4 } { 5 }$ gallons of gasoline on a 814-mile trip. How many miles can the car travel on 1 gallon of gasoline?

Accepted Answer

A)  54 miles 
B)  162 miles 
C)  1 mile 
D)  55 miles 
E)  53 miles 
A)  54 miles 
B)  162 miles 
C)  1 mile 
D)  55 miles 
E)  53 miles

Question 15

A pediatric nurse records the birth weight of a newborn as $2 \frac { 1 } { 8 }$ pounds. On the first and second monthly visits, the infant gains $1 \frac { 3 } { 8 }$ pounds and $1 \frac { 3 } { 8 }$ pounds. How much does the baby weigh at the end of two months?

Accepted Answer

A)  $4 \frac { 7 } { 8 }$ pounds 
B)  $4 \frac { 13 } { 8 }$ pounds 
C)  $4 \frac { 15 } { 8 }$ pounds 
D)  $4 \frac { 9 } { 4 }$ pounds 
E)  $4 \frac { 11 } { 8 }$ pounds 
A)  $4 \frac { 7 } { 8 }$ pounds 
B)  $4 \frac { 13 } { 8 }$ pounds 
C)  $4 \frac { 15 } { 8 }$ pounds 
D)  $4 \frac { 9 } { 4 }$ pounds 
E)  $4 \frac { 11 } { 8 }$ pounds

Question 16

Divide: $7 \frac { 7 } { 15 } \div 5$

Accepted Answer

A)  $1 \frac { 37 } { 150 }$ 
B)  $37 \frac { 1 } { 3 }$ 
C)  $1 \frac { 37 } { 75 }$ 
D)  $37 \frac { 1 } { 6 }$ 
E)  $1 \frac { 74 } { 75 }$ 
A)  $1 \frac { 37 } { 150 }$ 
B)  $37 \frac { 1 } { 3 }$ 
C)  $1 \frac { 37 } { 75 }$ 
D)  $37 \frac { 1 } { 6 }$ 
E)  $1 \frac { 74 } { 75 }$

Question 17

The course of a yachting race is in the shape of a triangle with sides that measure $3 \frac { 7 } { 12 }$ miles, $4 \frac { 7 } { 10 }$ miles, and $2 \frac { 7 } { 8 }$ miles. Find the total length of the course.

Accepted Answer

A)  $13 \frac { 19 } { 120 }$ miles 
B)  $11 \frac { 19 } { 120 }$ miles 
C)  $11 \frac { 19 } { 240 }$ miles 
D)  $13 \frac { 19 } { 240 }$ miles 
E)  $10 \frac { 19 } { 240 }$ miles 
A)  $13 \frac { 19 } { 120 }$ miles 
B)  $11 \frac { 19 } { 120 }$ miles 
C)  $11 \frac { 19 } { 240 }$ miles 
D)  $13 \frac { 19 } { 240 }$ miles 
E)  $10 \frac { 19 } { 240 }$ miles

Question 18

Find the least common multiple (LCM) of the numbers 20, 18.

Accepted Answer

A)  1 
B)  2 
C)  360 
D)  180 
E)  20 
A)  1 
B)  2 
C)  360 
D)  180 
E)  20

Question 19

Add: $\begin{array}{llcc}
  \quad\text {  5} \
  \text {$+\quad2 \frac{1}{6}$   } \
\hline 
\end{array}$

Accepted Answer

A)  $8 \frac { 1 } { 36 }$ 
B)  $8 \frac { 1 } { 6 }$ . 
C)  $7 \frac { 1 } { 6 }$ 
D)  $7 \frac { 1 } { 36 }$. 
E)  $8 \frac { 1 } { 6 }$ 
A)  $8 \frac { 1 } { 36 }$ 
B)  $8 \frac { 1 } { 6 }$ . 
C)  $7 \frac { 1 } { 6 }$ 
D)  $7 \frac { 1 } { 36 }$. 
E)  $8 \frac { 1 } { 6 }$

Question 20

Find the difference between $\frac { 10 } { 13 }$ and $\frac { 3 } { 13 }$ .

Accepted Answer

A)  $\frac { 7 } { 26 }$ 
B)  $1 \frac { 7 } { 13 }$ 
C)  $1 \frac { 7 } { 26 }$ 
D)  $\frac { 7 } { 13 }$ 
E)  $\frac { 7 } { 39 }$ 
A)  $\frac { 7 } { 26 }$ 
B)  $1 \frac { 7 } { 13 }$ 
C)  $1 \frac { 7 } { 26 }$ 
D)  $\frac { 7 } { 13 }$ 
E)  $\frac { 7 } { 39 }$

Simplify: $\left( \frac { 2 } { 3 } \right) \left( \frac { 1 } { 2 } \right) ^ { 4 }$

A family budgets $\frac { 1 } { 3 }$ of its monthly income of $2250 per month for housing and utilities. a. What amount is budgeted for housing and utilities? b. What amount remains for purposes other than housing and utilities?

Add: $2 + 3 \frac { 1 } { 2 }$

What is $4 \frac { 3 } { 8 }$ times $4 \frac { 1 } { 4 }$ ?

Multiply: $4 \frac { 5 } { 7 } \times 4$

Subtract: 7 -2

A nursing home cafeteria director purchases white sugar in 50-pound bags. Each bag of sugar contains about 80 cups. If it takes $1 \frac { 1 } { 3 }$ cups of sugar for every gallon of sweet tea served, how many gallons of tea can be made with 50 pounds of sugar?

The Booster Club is making 20 capes for the members of the high school marching band. Each cape is $1 \frac { 5 } { 8 }$ yards of material at a cost of $16 per yard. Find the total cost of the material.

A patient is to receive an IV infusion of 500 milliliters of normal saline over a period of 12 hours. A nurse checks on the patient after $\frac { 2 } { 4 }$ of the bag has been infused. How many milliliters of fluid has the patient received? How many hours have passed since the IV was started?

A car traveled 63 miles in $2 \frac { 1 } { 4 }$ hours. What was the car's average speed in miles per hour?

Divide: $\frac { 3 } { 5 } \div 3 \frac { 6 } { 11 }$

What is $11 \frac { 5 } { 12 }$ minus $7 \frac { 1 } { 9 }$ ?

A car used $14 \frac { 4 } { 5 }$ gallons of gasoline on a 814-mile trip. How many miles can the car travel on 1 gallon of gasoline?

A pediatric nurse records the birth weight of a newborn as $2 \frac { 1 } { 8 }$ pounds. On the first and second monthly visits, the infant gains $1 \frac { 3 } { 8 }$ pounds and $1 \frac { 3 } { 8 }$ pounds. How much does the baby weigh at the end of two months?

Divide: $7 \frac { 7 } { 15 } \div 5$

The course of a yachting race is in the shape of a triangle with sides that measure $3 \frac { 7 } { 12 }$ miles, $4 \frac { 7 } { 10 }$ miles, and $2 \frac { 7 } { 8 }$ miles. Find the total length of the course.

Find the least common multiple (LCM) of the numbers 20, 18.

Add: $\begin{array}{llcc} \quad\text { 5} \\ \text {+\quad2 \frac{1}{6} } \\\hline \end{array}$

Find the difference between $\frac { 10 } { 13 }$ and $\frac { 3 } { 13 }$ .

Whole Numbers

Decimals

Ratio and Proportion

Percents

Applications for Business

Statistics and Probability

Us Units of Measurement

Metric System Measurement

Rational Numbers

Introduction to Algebra

Filters

Exam 2: Fractions

Simplify: (23)(12)4\left( \frac { 2 } { 3 } \right) \left( \frac { 1 } { 2 } \right) ^ { 4 }(32​)(21​)4

A family budgets 13\frac { 1 } { 3 }31​ of its monthly income of $2250 per month for housing and utilities. a. What amount is budgeted for housing and utilities? b. What amount remains for purposes other than housing and utilities?

Add: 2+3122 + 3 \frac { 1 } { 2 }2+321​

What is 4384 \frac { 3 } { 8 }483​ times 4144 \frac { 1 } { 4 }441​ ?

Multiply: 457×44 \frac { 5 } { 7 } \times 4475​×4

Subtract: 7 -2

A nursing home cafeteria director purchases white sugar in 50-pound bags. Each bag of sugar contains about 80 cups. If it takes 1131 \frac { 1 } { 3 }131​ cups of sugar for every gallon of sweet tea served, how many gallons of tea can be made with 50 pounds of sugar?

The Booster Club is making 20 capes for the members of the high school marching band. Each cape is 1581 \frac { 5 } { 8 }185​ yards of material at a cost of $16 per yard. Find the total cost of the material.

A car traveled 63 miles in 2142 \frac { 1 } { 4 }241​ hours. What was the car's average speed in miles per hour?

Divide: 35÷3611\frac { 3 } { 5 } \div 3 \frac { 6 } { 11 }53​÷3116​

What is 1151211 \frac { 5 } { 12 }11125​ minus 7197 \frac { 1 } { 9 }791​ ?

A car used 144514 \frac { 4 } { 5 }1454​ gallons of gasoline on a 814-mile trip. How many miles can the car travel on 1 gallon of gasoline?

A pediatric nurse records the birth weight of a newborn as 2182 \frac { 1 } { 8 }281​ pounds. On the first and second monthly visits, the infant gains 1381 \frac { 3 } { 8 }183​ pounds and 1381 \frac { 3 } { 8 }183​ pounds. How much does the baby weigh at the end of two months?

Divide: 7715÷57 \frac { 7 } { 15 } \div 57157​÷5

The course of a yachting race is in the shape of a triangle with sides that measure 37123 \frac { 7 } { 12 }3127​ miles, 47104 \frac { 7 } { 10 }4107​ miles, and 2782 \frac { 7 } { 8 }287​ miles. Find the total length of the course.

Find the least common multiple (LCM) of the numbers 20, 18.

Add: \begin{array}{llcc} \quad\text { 5} \\ \text {+\quad2 \frac{1}{6} } \\\hline \end{array}

Find the difference between 1013\frac { 10 } { 13 }1310​ and 313\frac { 3 } { 13 }133​ .

Whole Numbers

Decimals

Ratio and Proportion

Percents

Applications for Business

Statistics and Probability

Us Units of Measurement

Metric System Measurement

Rational Numbers

Introduction to Algebra

Filters

Simplify: $\left( \frac { 2 } { 3 } \right) \left( \frac { 1 } { 2 } \right) ^ { 4 }$

A family budgets $\frac { 1 } { 3 }$ of its monthly income of $2250 per month for housing and utilities. a. What amount is budgeted for housing and utilities? b. What amount remains for purposes other than housing and utilities?

Add: $2 + 3 \frac { 1 } { 2 }$

What is $4 \frac { 3 } { 8 }$ times $4 \frac { 1 } { 4 }$ ?

Multiply: $4 \frac { 5 } { 7 } \times 4$

A nursing home cafeteria director purchases white sugar in 50-pound bags. Each bag of sugar contains about 80 cups. If it takes $1 \frac { 1 } { 3 }$ cups of sugar for every gallon of sweet tea served, how many gallons of tea can be made with 50 pounds of sugar?

The Booster Club is making 20 capes for the members of the high school marching band. Each cape is $1 \frac { 5 } { 8 }$ yards of material at a cost of $16 per yard. Find the total cost of the material.

A car traveled 63 miles in $2 \frac { 1 } { 4 }$ hours. What was the car's average speed in miles per hour?

Divide: $\frac { 3 } { 5 } \div 3 \frac { 6 } { 11 }$

What is $11 \frac { 5 } { 12 }$ minus $7 \frac { 1 } { 9 }$ ?

A car used $14 \frac { 4 } { 5 }$ gallons of gasoline on a 814-mile trip. How many miles can the car travel on 1 gallon of gasoline?

A pediatric nurse records the birth weight of a newborn as $2 \frac { 1 } { 8 }$ pounds. On the first and second monthly visits, the infant gains $1 \frac { 3 } { 8 }$ pounds and $1 \frac { 3 } { 8 }$ pounds. How much does the baby weigh at the end of two months?

Divide: $7 \frac { 7 } { 15 } \div 5$

The course of a yachting race is in the shape of a triangle with sides that measure $3 \frac { 7 } { 12 }$ miles, $4 \frac { 7 } { 10 }$ miles, and $2 \frac { 7 } { 8 }$ miles. Find the total length of the course.

Add: $\begin{array}{llcc} \quad\text { 5} \\ \text {+\quad2 \frac{1}{6} } \\\hline \end{array}$

Find the difference between $\frac { 10 } { 13 }$ and $\frac { 3 } { 13 }$ .