Question 1

Perform the indicated operation and reduce the answer to lowest terms.
-$$\frac { 10 } { 11 } - \frac { 4 } { 9 } + \frac { 1 } { 11 }$$

Accepted Answer

A)  $- \frac { 5 } { 9 }$ 
B)  $- \frac { 5 } { 11 }$ 
C)  $\frac { 7 } { 11 }$ 
D)  $\frac { 5 } { 9 }$ 
A)  $- \frac { 5 } { 9 }$ 
B)  $- \frac { 5 } { 11 }$ 
C)  $\frac { 7 } { 11 }$ 
D)  $\frac { 5 } { 9 }$ D

Question 2

Convert the mixed number into an improper fraction.
-$17 \frac { 7 } { 10 }$

Accepted Answer

A)  $\frac { 177 } { 10 }$ 
B)  $\frac { 187 } { 10 }$ 
C)  $\frac { 119 } { 10 }$ 
D)  $\frac { 24 } { 10 }$ 
A)  $\frac { 177 } { 10 }$ 
B)  $\frac { 187 } { 10 }$ 
C)  $\frac { 119 } { 10 }$ 
D)  $\frac { 24 } { 10 }$ A

Question 3

Provide an appropriate response.
-The sum of any two positive integers is a positive integer.

Accepted Answer

A) True 
 B)False  True

Question 4

Determine whether or not the first number is divisible by the second number
-47,490; 10

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 5

Evaluate the expression.
-(-9)(-9)(-9)

Accepted Answer

A)  -739 
B)  -729 
C)  729 
D)  -719 
A)  -739 
B)  -729 
C)  729 
D)  -719

Question 6

Provide an appropriate response.
-If a number is divisible by 3, then the number must also be divisible by 6.

Accepted Answer

A) True 
 B)False

Question 7

Solve.
-Several different bus routes stop at the corner of Second St. and Lincoln Ave. A Wilkenson bus Arrives every 18 minutes, a Fifth Avenue bus arrives every 45 minutes and a Harris Road bus Arrives every 10 minutes. If both buses arrive at the stop at 5:07 AM, how many minutes will pass Before both buses arrive at the same time again?

Accepted Answer

A)  10 minutes 
B)  90 minutes 
C)  45 minutes 
D)  8100 minutes 
A)  10 minutes 
B)  90 minutes 
C)  45 minutes 
D)  8100 minutes

Question 8

Solve the problem.
-It takes $4 \frac { 1 } { 2 }$ gallons of paint to paint 3 classrooms. How much paint is required to paint 11 Classrooms?

Accepted Answer

A)  $49 \frac { 1 } { 2 }$ gallons 
B)  $7 \frac { 1 } { 3 }$ gallons 
C)  $16 \frac { 1 } { 2 }$ gallons 
D)  $2 \frac { 4 } { 9 }$ gallons 
A)  $49 \frac { 1 } { 2 }$ gallons 
B)  $7 \frac { 1 } { 3 }$ gallons 
C)  $16 \frac { 1 } { 2 }$ gallons 
D)  $2 \frac { 4 } { 9 }$ gallons

Question 9

Determine whether or not the first number is divisible by the second number
-521,364; 3

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 10

Perform the indicated operation and reduce the answer to lowest terms.
-$$\frac { 1 } { 4 } + \frac { 3 } { 20 }$$

Accepted Answer

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

Question 11

Evaluate the expression.
-[(-3)(-3)] ∙ [7(-5)]

Accepted Answer

A)  315 
B)  45 
C)  -45 
D)  -315 
A)  315 
B)  45 
C)  -45 
D)  -315

Question 12

Find the greatest common divisor (GCD).
-30 and 36

Accepted Answer

A)  6 
B)  1 
C)  3 
D)  2 
A)  6 
B)  1 
C)  3 
D)  2

Question 13

Convert the improper fraction into a mixed number.
-$\frac { 61 } { 27 }$

Accepted Answer

A)  $3 \frac { 7 } { 27 }$ 
B)  $2 \frac { 7 } { 27 }$ 
C)  $2 \frac { 1 } { 3 }$ 
D)  $1 \frac { 7 } { 27 }$ 
A)  $3 \frac { 7 } { 27 }$ 
B)  $2 \frac { 7 } { 27 }$ 
C)  $2 \frac { 1 } { 3 }$ 
D)  $1 \frac { 7 } { 27 }$

Question 14

Perform the operation and give the answer as a fraction in lowest terms.
-$\left( - \frac { 1 } { 4 } \right) \left( \frac { 5 } { 12 } \right)$

Accepted Answer

A)  $- \frac { 5 } { 48 }$ 
B)  $\frac { 3 } { 20 }$ 
C)  $- \frac { 1 } { 48 }$ 
D)  $- \frac { 5 } { 3 }$ 
A)  $- \frac { 5 } { 48 }$ 
B)  $\frac { 3 } { 20 }$ 
C)  $- \frac { 1 } { 48 }$ 
D)  $- \frac { 5 } { 3 }$

Question 15

Solve.
-Several different bus routes stop at the corner of Second St. and Lincoln Ave. A Wilkenson bus Arrives every 27 minutes and a Harris Road bus arrives every 15 minutes. If both buses arrive at The stop at 5:07 AM, when will they again arrive at the same time?

Accepted Answer

A)  6:42 AM 
B)  7:22 AM 
C)  11:52 AM 
D)  9:12 AM 
A)  6:42 AM 
B)  7:22 AM 
C)  11:52 AM 
D)  9:12 AM

Question 16

Find the least common multiple (LCM).
-48, 162, and 9

Accepted Answer

A)  1296 
B)  432 
C)  324 
D)  648 
A)  1296 
B)  432 
C)  324 
D)  648

Question 17

Evaluate the expression.
-11 - (12 - 20)

Accepted Answer

A)  19 
B)  3 
C)  -21 
D)  43 
A)  19 
B)  3 
C)  -21 
D)  43

Question 18

Provide an appropriate response.
-Every integer is a whole number.

Accepted Answer

A) True 
 B)False

Question 19

Perform the indicated operation and reduce the answer to lowest terms.
-$\frac { 5 } { 7 } - \frac { 1 } { 6 } - \frac { 11 } { 12 }$

Accepted Answer

A)  $\frac { 31 } { 84 }$ 
B)  $- \frac { 31 } { 84 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $- \frac { 1 } { 3 }$ 
A)  $\frac { 31 } { 84 }$ 
B)  $- \frac { 31 } { 84 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $- \frac { 1 } { 3 }$

Question 20

Provide an appropriate response.
-Choose the number that is divisible by 2, 3, 7, 6, and 14.

Accepted Answer

A)  114 
B)  142 
C)  42 
D)  21 
A)  114 
B)  142 
C)  42 
D)  21

Perform the indicated operation and reduce the answer to lowest terms. - $\frac { 10 } { 11 } - \frac { 4 } { 9 } + \frac { 1 } { 11 }$

Convert the mixed number into an improper fraction. - $17 \frac { 7 } { 10 }$

Provide an appropriate response. -The sum of any two positive integers is a positive integer.

Determine whether or not the first number is divisible by the second number -47,490; 10

Evaluate the expression. -(-9)(-9)(-9)

Provide an appropriate response. -If a number is divisible by 3, then the number must also be divisible by 6.

Solve the problem. -It takes $4 \frac { 1 } { 2 }$ gallons of paint to paint 3 classrooms. How much paint is required to paint 11 Classrooms?

Determine whether or not the first number is divisible by the second number -521,364; 3

Perform the indicated operation and reduce the answer to lowest terms. - $\frac { 1 } { 4 } + \frac { 3 } { 20 }$

Evaluate the expression. -[(-3)(-3)] ∙ [7(-5)]

Find the greatest common divisor (GCD). -30 and 36

Convert the improper fraction into a mixed number. - $\frac { 61 } { 27 }$

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 1 } { 4 } \right) \left( \frac { 5 } { 12 } \right)$

Solve. -Several different bus routes stop at the corner of Second St. and Lincoln Ave. A Wilkenson bus Arrives every 27 minutes and a Harris Road bus arrives every 15 minutes. If both buses arrive at The stop at 5:07 AM, when will they again arrive at the same time?

Find the least common multiple (LCM). -48, 162, and 9

Evaluate the expression. -11 - (12 - 20)

Provide an appropriate response. -Every integer is a whole number.

Perform the indicated operation and reduce the answer to lowest terms. - $\frac { 5 } { 7 } - \frac { 1 } { 6 } - \frac { 11 } { 12 }$

Provide an appropriate response. -Choose the number that is divisible by 2, 3, 7, 6, and 14.

Critical Thinking Skills

Sets

Logic

Systems of Numeration

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Exam 5: Number Theory and the Real Number System

Perform the indicated operation and reduce the answer to lowest terms. - 1011−49+111\frac { 10 } { 11 } - \frac { 4 } { 9 } + \frac { 1 } { 11 }1110​−94​+111​

Convert the mixed number into an improper fraction. - 1771017 \frac { 7 } { 10 }17107​