Question 1

Evaluate the expression.
-(-3)(-6)

Accepted Answer

A)  -9 
B) -18 
C)  9 
D)  18 
A)  -9 
B) -18 
C)  9 
D)  18

Question 2

Convert the mixed number into an improper fraction.
-$- 4 \frac { 5 } { 6 }$

Accepted Answer

A)  $- \frac { 24 } { 6 }$ 
B)  $- \frac { 29 } { 6 }$ 
C)  $- \frac { 24 } { 5 }$ 
D)  $- \frac { 29 } { 5 }$ 
A)  $- \frac { 24 } { 6 }$ 
B)  $- \frac { 29 } { 6 }$ 
C)  $- \frac { 24 } { 5 }$ 
D)  $- \frac { 29 } { 5 }$

Question 3

Provide an appropriate response.
-If a number is divisible by 7 and 3, then the number is divisible by 21.

Accepted Answer

A) True 
 B)False

Question 4

Find the greatest common divisor (GCD).
-14, 18, and 20

Accepted Answer

A)  1 
B)  14 
C)  4 
D)  2 
A)  1 
B)  14 
C)  4 
D)  2

Question 5

Write the fraction in lowest terms.
-$- \frac { 16 } { 36 }$

Accepted Answer

A)  $\frac { 7 } { 3 }$ 
B)  $- \frac { 9 } { 4 }$ 
C)  $- \frac { 4 } { 9 }$ 
D)  $\frac { 4 } { 9 }$ 
A)  $\frac { 7 } { 3 }$ 
B)  $- \frac { 9 } { 4 }$ 
C)  $- \frac { 4 } { 9 }$ 
D)  $\frac { 4 } { 9 }$

Question 6

Write the fraction in lowest terms.
-$\frac { 6 } { 9 }$

Accepted Answer

A)  $\frac { 8 } { 5 }$ 
B)  $\frac { 7 } { 10 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$ 
A)  $\frac { 8 } { 5 }$ 
B)  $\frac { 7 } { 10 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$

Question 7

Solve the problem.
-The temperature at the South pole was -24° at 8 am. At 3 pm, it was 37°. By how many degrees did The temperature rise?

Accepted Answer

A)  by 13° 
B)  by -13° 
C)  by 61° 
D)  by -61° 
A)  by 13° 
B)  by -13° 
C)  by 61° 
D)  by -61°

Question 8

Find the greatest common divisor (GCD).
-42, 56, and 98

Accepted Answer

A)  7 
B)  1 
C)  14 
D)  42 
A)  7 
B)  1 
C)  14 
D)  42

Question 9

Evaluate the expression.
-1 + (-25) + (-15)

Accepted Answer

A)  -39 
B)  11 
C)  41 
D)  -9 
A)  -39 
B)  11 
C)  41 
D)  -9

Question 10

Find the least common multiple (LCM).
-56 and 96

Accepted Answer

A)  1344 
B)  672 
C)  168 
D)  224 
A)  1344 
B)  672 
C)  168 
D)  224

Question 11

Write the fraction in lowest terms.
-$- \frac { 6 } { 8 }$

Accepted Answer

A)  $\frac { 7 } { 5 }$ 
B)  $- \frac { 3 } { 4 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $- \frac { 4 } { 3 }$ 
A)  $\frac { 7 } { 5 }$ 
B)  $- \frac { 3 } { 4 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $- \frac { 4 } { 3 }$

Question 12

Perform the indicated operation and reduce the answer to lowest terms.
-$\frac { 2 } { 3 } + \frac { 1 } { 12 }$

Accepted Answer

A)  $\frac { 7 } { 12 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $\frac { 3 } { 4 }$ 
A)  $\frac { 7 } { 12 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $\frac { 3 } { 4 }$

Question 13

Decide if the number is rational or irrational.
-$\sqrt { 121 }$

Accepted Answer

A)  12 
B)  Not a real number 
C)  11 
D)  60 
A)  12 
B)  Not a real number 
C)  11 
D)  60

Question 14

Decide if the number is rational or irrational.
-$\sqrt { 25 }$

Accepted Answer

A)  Rational 
B)  Irrational 
A)  Rational 
B)  Irrational

Question 15

Determine whether or not the first number is divisible by the second number
-27,140; 8

Accepted Answer

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

Question 16

Evaluate the expression.
--17 + 14 + (-1)

Accepted Answer

A)  -2 
B) 32 
C) -4 
D) 30 
A)  -2 
B) 32 
C) -4 
D) 30

Question 17

Decide if the number is rational or irrational.
-$- \sqrt { 196 }$

Accepted Answer

A)  Rational 
B)  Irrational 
A)  Rational 
B)  Irrational

Evaluate the expression. -(-3)(-6)

Convert the mixed number into an improper fraction. - $- 4 \frac { 5 } { 6 }$

Provide an appropriate response. -If a number is divisible by 7 and 3, then the number is divisible by 21.

Find the greatest common divisor (GCD). -14, 18, and 20

Write the fraction in lowest terms. - $- \frac { 16 } { 36 }$

Write the fraction in lowest terms. - $\frac { 6 } { 9 }$

Solve the problem. -The temperature at the South pole was -24° at 8 am. At 3 pm, it was 37°. By how many degrees did The temperature rise?

Find the greatest common divisor (GCD). -42, 56, and 98

Evaluate the expression. -1 + (-25) + (-15)

Find the least common multiple (LCM). -56 and 96

Write the fraction in lowest terms. - $- \frac { 6 } { 8 }$

Perform the indicated operation and reduce the answer to lowest terms. - $\frac { 2 } { 3 } + \frac { 1 } { 12 }$

Decide if the number is rational or irrational. - $\sqrt { 121 }$

Decide if the number is rational or irrational. - $\sqrt { 25 }$

Determine whether or not the first number is divisible by the second number -27,140; 8

Evaluate the expression. --17 + 14 + (-1)

Decide if the number is rational or irrational. - $- \sqrt { 196 }$

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