Question 1

Provide an appropriate response.
-6 is a multiple of 3.

Accepted Answer

A) True 
 B)False

Question 2

Express the repeating decimal number as a quotient of two integers.
-$14 \overline { 81 }$

Accepted Answer

A)  $\frac { 1567 } { 11 }$ 
B)  $\frac { 163 } { 11 }$ 
C)  $\frac { 46 } { 11 }$ 
D)  $\frac { 7 } { 52 }$ 
A)  $\frac { 1567 } { 11 }$ 
B)  $\frac { 163 } { 11 }$ 
C)  $\frac { 46 } { 11 }$ 
D)  $\frac { 7 } { 52 }$

Question 3

Convert the improper fraction into a mixed number.
-$\frac { 61 } { 10 }$

Accepted Answer

A)  $7 \frac { 1 } { 10 }$ 
B)  $6 \frac { 1 } { 10 }$ 
C)  $6 \frac { 3 } { 10 }$ 
D)  $5 \frac { 1 } { 10 }$ 
A)  $7 \frac { 1 } { 10 }$ 
B)  $6 \frac { 1 } { 10 }$ 
C)  $6 \frac { 3 } { 10 }$ 
D)  $5 \frac { 1 } { 10 }$

Question 4

Solve.
-Janine and Thor are both running for class president. Janine goes down a hallway in the school And puts a sticker on every fourth locker. Thor goes down the same hallway, putting one of his Stickers on every fifth locker. If there are 130 lockers in the hallway, how many have both studentsʹ Stickers?

Accepted Answer

A)  20 
B)  13 
C)  6 
D)  26 
A)  20 
B)  13 
C)  6 
D)  26

Question 5

Evaluate the expression.
-135/(-5)

Accepted Answer

A)  $- \frac { 1 } { 27 }$ 
B)  27 
C)  $- 37$ 
D)  $- 27$ 
A)  $- \frac { 1 } { 27 }$ 
B)  27 
C)  $- 37$ 
D)  $- 27$

Question 6

Write the fraction in lowest terms.
-$\frac { 30 } { 78 }$

Accepted Answer

A)  $\frac { 31 } { 79 }$ 
B)  $\frac { 77 } { 29 }$ 
C)  $\frac { 5 } { 13 }$ 
D)  $\frac { 13 } { 5 }$ 
A)  $\frac { 31 } { 79 }$ 
B)  $\frac { 77 } { 29 }$ 
C)  $\frac { 5 } { 13 }$ 
D)  $\frac { 13 } { 5 }$

Question 7

Determine whether or not the first number is divisible by the second number
-955,575; 5

Accepted Answer

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

Question 8

Decide if the number is rational or irrational.
-0.77777777...

Accepted Answer

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

Question 9

Evaluate the expression.
-(-5)(-3)(6)

Accepted Answer

A)  80 
B)  190 
C)  90 
D)  -90 
A)  80 
B)  190 
C)  90 
D)  -90

Question 10

Solve the problem.
-$$\text { In order to pass a resolution on the village board, at least } \frac { 2 } { 3 } \text { of the members must approve. If there }$$ are 11 members on the board, how many members must vote in favor of the resolution?

Accepted Answer

A)  9 members 
B)  7 members 
C)  8 members 
D)  10 members 
A)  9 members 
B)  7 members 
C)  8 members 
D)  10 members

Question 11

Find the prime factorization of the number
-7425

Accepted Answer

A)  $3 ^ { 3 } \cdot 5 ^ { 3 } \cdot 11$ 
B)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 11$ 
C)  $3 \cdot 5 ^ { 4 } \cdot 11$ 
D)  $3 ^ { 4 } \cdot 5 \cdot 11$ 
A)  $3 ^ { 3 } \cdot 5 ^ { 3 } \cdot 11$ 
B)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 11$ 
C)  $3 \cdot 5 ^ { 4 } \cdot 11$ 
D)  $3 ^ { 4 } \cdot 5 \cdot 11$

Question 12

Solve the problem.
-Edwardo wants to make a walk out of paving brick. He has enough bricks to pave 26 square yards. How long can the walk be if it is 4 feet wide? ( 3 feet $= 1$ yard)

Accepted Answer

A)  $19 \frac { 1 } { 2 }$ yards 
B)  $8 \frac { 2 } { 3 }$ yards 
C)  $34 \frac { 2 } { 3 }$ yards 
D)  $6 \frac { 1 } { 2 }$ yards 
A)  $19 \frac { 1 } { 2 }$ yards 
B)  $8 \frac { 2 } { 3 }$ yards 
C)  $34 \frac { 2 } { 3 }$ yards 
D)  $6 \frac { 1 } { 2 }$ yards

Question 13

Perform the operation and give the answer as a fraction in lowest terms.
-$$\left( - \frac { 1 } { 4 } \right) \div \left( \frac { 9 } { 10 } \right)$$

Accepted Answer

A)  $- \frac { 5 } { 18 }$ 
B)  $\frac { 1 } { 36 }$ 
C)  $\frac { 5 } { 3 }$ 
D)  $- \frac { 9 } { 40 }$ 
A)  $- \frac { 5 } { 18 }$ 
B)  $\frac { 1 } { 36 }$ 
C)  $\frac { 5 } { 3 }$ 
D)  $- \frac { 9 } { 40 }$

Question 14

Evaluate the expression.
-(15 + 11) - (13 - 15)

Accepted Answer

A)  28 
B)  32 
C)  2 
D)  -32 
A)  28 
B)  32 
C)  2 
D)  -32

Question 15

Solve the problem.
-It takes $2 \frac { 1 } { 2 }$ yards of canvas to make 5 deck chairs. How many can be made with 11 yards of
Canvas?

Accepted Answer

A)  5 chairs 
B)  22 chairs 
C)  4 chairs 
D)  27 chairs 
A)  5 chairs 
B)  22 chairs 
C)  4 chairs 
D)  27 chairs

Question 16

Express the rational number as a terminating or repeating decimal number.
-$\frac { 31 } { 100 }$

Accepted Answer

A)  $0.155$ 
B)  $0.031$ 
C)  $0.31$ 
D)  $3.1$ 
A)  $0.155$ 
B)  $0.031$ 
C)  $0.31$ 
D)  $3.1$

Question 17

Solve the problem.
- 
Three boards are used as shelves in a bookcase. Each one is $1 \frac { 1 } { 2 }$ inches thick and the shelves are evenly spaced. If the height, $h$, of the bookcase is 36 inches, how much space is between each shelf?

Accepted Answer

A)  12 inches 
B)  18 inches 
C)  $15 \frac { 3 } { 4 }$ inches 
D)  11 inches 
A)  12 inches 
B)  18 inches 
C)  $15 \frac { 3 } { 4 }$ inches 
D)  11 inches

Question 18

Evaluate the expression.
-[(-6)(-4)] - 18

Accepted Answer

A)  42 
B)  -6 
C) 6 
D) -42 
A)  42 
B)  -6 
C) 6 
D) -42

Question 19

Provide an appropriate response.
-10|2

Accepted Answer

A) True 
 B)False

Question 20

Provide an appropriate response.
-The quotient of a positive integer and a negative integer is always a positive number.

Accepted Answer

A) True 
 B)False

Provide an appropriate response. -6 is a multiple of 3.

Express the repeating decimal number as a quotient of two integers. - $14 \overline { 81 }$

Convert the improper fraction into a mixed number. - $\frac { 61 } { 10 }$

Evaluate the expression. -135/(-5)

Write the fraction in lowest terms. - $\frac { 30 } { 78 }$

Determine whether or not the first number is divisible by the second number -955,575; 5

Decide if the number is rational or irrational. -0.77777777...

Evaluate the expression. -(-5)(-3)(6)

Solve the problem. - $\text { In order to pass a resolution on the village board, at least } \frac { 2 } { 3 } \text { of the members must approve. If there }$ are 11 members on the board, how many members must vote in favor of the resolution?

Find the prime factorization of the number -7425

Solve the problem. -Edwardo wants to make a walk out of paving brick. He has enough bricks to pave 26 square yards. How long can the walk be if it is 4 feet wide? ( 3 feet $= 1$ yard)

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 1 } { 4 } \right) \div \left( \frac { 9 } { 10 } \right)$

Evaluate the expression. -(15 + 11) - (13 - 15)

Solve the problem. -It takes $2 \frac { 1 } { 2 }$ yards of canvas to make 5 deck chairs. How many can be made with 11 yards of Canvas?

Express the rational number as a terminating or repeating decimal number. - $\frac { 31 } { 100 }$

Evaluate the expression. -[(-6)(-4)] - 18

Provide an appropriate response. -10|2

Provide an appropriate response. -The quotient of a positive integer and a negative integer is always a positive number.

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

Provide an appropriate response. -6 is a multiple of 3.

Express the repeating decimal number as a quotient of two integers. - 1481‾14 \overline { 81 }1481

Convert the improper fraction into a mixed number. - 6110\frac { 61 } { 10 }1061​

Evaluate the expression. -135/(-5)

Write the fraction in lowest terms. - 3078\frac { 30 } { 78 }7830​

Determine whether or not the first number is divisible by the second number -955,575; 5

Decide if the number is rational or irrational. -0.77777777...

Evaluate the expression. -(-5)(-3)(6)

Find the prime factorization of the number -7425

Solve the problem. -Edwardo wants to make a walk out of paving brick. He has enough bricks to pave 26 square yards. How long can the walk be if it is 4 feet wide? ( 3 feet =1= 1=1 yard)

Perform the operation and give the answer as a fraction in lowest terms. - (−14)÷(910)\left( - \frac { 1 } { 4 } \right) \div \left( \frac { 9 } { 10 } \right)(−41​)÷(109​)

Evaluate the expression. -(15 + 11) - (13 - 15)

Solve the problem. -It takes 2122 \frac { 1 } { 2 }221​ yards of canvas to make 5 deck chairs. How many can be made with 11 yards of Canvas?

Express the rational number as a terminating or repeating decimal number. - 31100\frac { 31 } { 100 }10031​

Solve the problem. - Three boards are used as shelves in a bookcase. Each one is 1121 \frac { 1 } { 2 }121​ inches thick and the shelves are evenly spaced. If the height, hhh , of the bookcase is 36 inches, how much space is between each shelf?

Evaluate the expression. -[(-6)(-4)] - 18

Provide an appropriate response. -10|2

Provide an appropriate response. -The quotient of a positive integer and a negative integer is always a positive number.

Critical Thinking Skills

Sets

Logic

Systems of Numeration

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Express the repeating decimal number as a quotient of two integers. - $14 \overline { 81 }$

Convert the improper fraction into a mixed number. - $\frac { 61 } { 10 }$

Write the fraction in lowest terms. - $\frac { 30 } { 78 }$

Solve the problem. -Edwardo wants to make a walk out of paving brick. He has enough bricks to pave 26 square yards. How long can the walk be if it is 4 feet wide? ( 3 feet $= 1$ yard)

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 1 } { 4 } \right) \div \left( \frac { 9 } { 10 } \right)$

Solve the problem. -It takes $2 \frac { 1 } { 2 }$ yards of canvas to make 5 deck chairs. How many can be made with 11 yards of Canvas?

Express the rational number as a terminating or repeating decimal number. - $\frac { 31 } { 100 }$