Question 1

Provide an appropriate response.
-3 is a multiple of 15.

Accepted Answer

A) True 
 B)False

Question 2

Solve the problem.
-A bike road race starts at an elevation of 830 feet and passes through 5 stages where the elevation Changes by 185 feet, -270 feet, 584 feet, -134 feet, and 568 feet. At what elevation does the race End?

Accepted Answer

A)  2571 feet 
B)  -2571 feet 
C)  1763 feet 
D)  1349 feet

Question 3

Evaluate the expression.
--133 ÷ -7

Accepted Answer

A)  $- 19$ 
B)  9 
C)  19 
D)  $\frac { 1 } { 19 }$

Question 4

Solve.
-At Northwest High School, there are 207 students in the Sophomore Class, 243 students in the Junior Class, and 216 students in the Senior Class. The teachers want to assign the students to Committees with the same number of sophomores, juniors, and seniors in each committee. (For Example, there might be 4 sophomores, 2 juniors, and 3 seniors in every committee). What is the Largest number of committees that can be formed?

Accepted Answer

A)  72 
B)  3 
C)  27 
D)  9

Question 5

Solve the problem.
-A corporationʹs bank account has $9681 in it when the treasurer writes checks for $117, $2276, and $659. Then deposits of $5170 and $2498 are made. How much is in the account? Is it overdrawn?

Accepted Answer

A)  -$5065, yes 
B)  $14,297, no 
C)  $14,956, no 
D)  $5065, no

Question 6

Solve the problem.
-Nikki is fishing from a bank 43 feet above water level. In this location, the fish tend to feed at 44 Feet below the surface. How long must Nikkiʹs fish line be to reach the fish?

Accepted Answer

A)  -1 feet 
B)  -43 feet 
C)  87 feet 
D)  1 feet

Question 7

Evaluate the expression.
--5 ∙ 3

Accepted Answer

A)  -2 
B)  2 
C) 15 
D)  -15

Question 8

Write the number of inches indicated by the arrow as an improper fraction.
-

Accepted Answer

A)  $\frac { 11 } { 4 }$ 
B)  $\frac { 9 } { 8 }$ 
C)  $\frac { 11 } { 8 }$ 
D)  $\frac { 9 } { 4 }$

Question 9

Determine whether or not the first number is divisible by the second number
-22,259; 2

Accepted Answer

A)  No 
B)  Yes

Question 10

Solve the problem.
-The stock market gained 9 points on Tuesday and lost 56 points on Wednesday. It had closed on Monday at 2512 points. Where did the market close on Wednesday?

Accepted Answer

A)  2577 points 
B)  2447 points 
C)  2465 points 
D)  2559 points

Question 11

Convert the mixed number into an improper fraction.
-$- 5 \frac { 7 } { 8 }$

Accepted Answer

A)  $- \frac { 40 } { 7 }$ 
B)  $- \frac { 40 } { 8 }$ 
C)  $- \frac { 47 } { 7 }$ 
D)  $- \frac { 47 } { 8 }$

Question 12

Solve the problem.
-A football team gained 21 yards on one play, lost 30 yards on another, and gained 40 yards on the Last play of the first half. They had already gained 212 yards during the half. What was the total Yardage gain for the first half?

Accepted Answer

A)  303 yards 
B)  273 yards 
C)  181 yards 
D)  243 yards

Question 13

Perform the operation and give the answer as a fraction in lowest terms.
-$$\left( \frac { 8 } { 9 } \right) \div \left( - \frac { 1 } { 5 } \right)$$

Accepted Answer

A)  $- \frac { 8 } { 45 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 8 } { 9 }$ 
D)  $- \frac { 40 } { 9 }$

Question 14

Write the number of inches indicated by the arrow as an improper fraction.
-

Accepted Answer

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

Question 15

Evaluate the expression.
--17 + (-50) + 70 + (-60)

Accepted Answer

A)  -23 
B)  63 
C)  -197 
D)  -57

Question 16

Evaluate the expression.
-$$( - 60 ) \div 5$$

Accepted Answer

A)  $- 12$ 
B)  12 
C)  $- \frac { 1 } { 12 }$ 
D)  $- 22$

Question 17

Find the prime factorization of the number
-62

Accepted Answer

A)  $2 \cdot 29$ 
B)  $2 ^ { 2 }$ 
C)  $2 ^ { 2 } \cdot 31$ 
D)  $2 \cdot 31$

Question 18

Write the fraction in lowest terms.
-$\frac { 15 } { 183 }$

Accepted Answer

A)  $\frac { 61 } { 5 }$ 
B)  $\frac { 2 } { 23 }$ 
C)  13 
D)  $\frac { 5 } { 61 }$

Question 19

Determine whether or not the first number is divisible by the second number
-22,669; 6

Accepted Answer

A)  No 
B)  Yes

Question 20

Solve the problem.
-In four rounds of a card game, you get scores of -7, -9, 8, and 1. What is your final score?

Accepted Answer

A)  7 
B)  11 
C)  -7
D) -11

Exam 5: Number Theory and the Real Number System

Provide an appropriate response. -3 is a multiple of 15.

Solve the problem. -A bike road race starts at an elevation of 830 feet and passes through 5 stages where the elevation Changes by 185 feet, -270 feet, 584 feet, -134 feet, and 568 feet. At what elevation does the race End?

Evaluate the expression. --133 ÷ -7

Solve the problem. -A corporationʹs bank account has $9681 in it when the treasurer writes checks for $117, $2276, and $659. Then deposits of $5170 and $2498 are made. How much is in the account? Is it overdrawn?

Solve the problem. -Nikki is fishing from a bank 43 feet above water level. In this location, the fish tend to feed at 44 Feet below the surface. How long must Nikkiʹs fish line be to reach the fish?

Evaluate the expression. --5 ∙ 3

Write the number of inches indicated by the arrow as an improper fraction. - $Write the number of inches indicated by the arrow as an improper fraction. - A) \frac { 11 } { 4 } B) \frac { 9 } { 8 } C) \frac { 11 } { 8 } D) \frac { 9 } { 4 }$

Determine whether or not the first number is divisible by the second number -22,259; 2

Solve the problem. -The stock market gained 9 points on Tuesday and lost 56 points on Wednesday. It had closed on Monday at 2512 points. Where did the market close on Wednesday?

Convert the mixed number into an improper fraction. - $- 5 \frac { 7 } { 8 }$

Solve the problem. -A football team gained 21 yards on one play, lost 30 yards on another, and gained 40 yards on the Last play of the first half. They had already gained 212 yards during the half. What was the total Yardage gain for the first half?

Perform the operation and give the answer as a fraction in lowest terms. - $\left( \frac { 8 } { 9 } \right) \div \left( - \frac { 1 } { 5 } \right)$

Write the number of inches indicated by the arrow as an improper fraction. - $Write the number of inches indicated by the arrow as an improper fraction. - A) \frac { 7 } { 4 } B) \frac { 13 } { 8 } C) \frac { 11 } { 8 } D) \frac { 15 } { 4 }$

Evaluate the expression. --17 + (-50) + 70 + (-60)

Evaluate the expression. - $( - 60 ) \div 5$

Find the prime factorization of the number -62

Write the fraction in lowest terms. - $\frac { 15 } { 183 }$

Determine whether or not the first number is divisible by the second number -22,669; 6

Solve the problem. -In four rounds of a card game, you get scores of -7, -9, 8, and 1. What is your final score?