Question 1

Decide if the number is rational or irrational.
-$- \sqrt { 169 }$

Accepted Answer

A)  13 
B)  -84 
C)  -13 
D)  Not a real number 
A)  13 
B)  -84 
C)  -13 
D)  Not a real number

Question 2

Perform the operation and give the answer as a fraction in lowest terms.
-$$\left( - \frac { 10 } { 19 } \right) \div \left( \frac { 3 } { 4 } \right)$$

Accepted Answer

A)  $- \frac { 19 } { 7 }$ 
B)  $\frac { 10 } { 171 }$ 
C)  $- \frac { 15 } { 38 }$ 
D)  $- \frac { 40 } { 57 }$ 
A)  $- \frac { 19 } { 7 }$ 
B)  $\frac { 10 } { 171 }$ 
C)  $- \frac { 15 } { 38 }$ 
D)  $- \frac { 40 } { 57 }$

Question 3

Express the rational number as a terminating or repeating decimal number.
-$\frac { 7 } { 4 }$

Accepted Answer

A)  $0.175$ 
B)  $1.75$ 
C)  $17.5$ 
D)  $0.875$ 
A)  $0.175$ 
B)  $1.75$ 
C)  $17.5$ 
D)  $0.875$

Question 4

Perform the operation and give the answer as a fraction in lowest terms.
-$\left( - \frac { 3 } { 2 } \right) \left( \frac { 8 } { 7 } \right)$

Accepted Answer

A)  $- \frac { 1 } { 13 }$ 
B)  $- \frac { 3 } { 14 }$ 
C)  $- \frac { 12 } { 7 }$ 
D)  $- \frac { 16 } { 21 }$ 
A)  $- \frac { 1 } { 13 }$ 
B)  $- \frac { 3 } { 14 }$ 
C)  $- \frac { 12 } { 7 }$ 
D)  $- \frac { 16 } { 21 }$

Question 5

Evaluate the expression.
-15 - (-10)

Accepted Answer

A)  5 
B)  -5 
C) -25 
D)  25 
A)  5 
B)  -5 
C) -25 
D)  25

Question 6

Evaluate the expression.
-11 + 23 + (-12)

Accepted Answer

A)  -24 
B)  46 
C)  0 
D)  22 
A)  -24 
B)  46 
C)  0 
D)  22

Question 7

Evaluate the expression.
-$$( - 384 ) / 96$$

Accepted Answer

A)  $- \frac { 1 } { 4 }$ 
B)  $- 4$ 
C)  $- 14$ 
D)  4 
A)  $- \frac { 1 } { 4 }$ 
B)  $- 4$ 
C)  $- 14$ 
D)  4

Question 8

Express the repeating decimal number as a quotient of two integers.
-$0 . \overline { 400 }$

Accepted Answer

A)  $\frac { 4000 } { 999 }$ 
B)  $\frac { 400 } { 99 }$ 
C)  $\frac { 400 } { 999 }$ 
D)  $\frac { 4000 } { 99 }$ 
A)  $\frac { 4000 } { 999 }$ 
B)  $\frac { 400 } { 99 }$ 
C)  $\frac { 400 } { 999 }$ 
D)  $\frac { 4000 } { 99 }$

Question 9

Evaluate the expression.
-[4 + (-4)] + (-5 + 8)

Accepted Answer

A)  3 
B)  -13 
C)  21 
D)  13 
A)  3 
B)  -13 
C)  21 
D)  13

Question 10

Solve the problem.
-John presently earns $96 a week doing yard chores after school. After 3 months, his pay will Increase by $\frac { 1 } { 8 } .$ How much will he then earn per week?

Accepted Answer

A)  $153.60 
B)  $78.75 
C)  $128.00 
D)  $108.00 
A)  $153.60 
B)  $78.75 
C)  $128.00 
D)  $108.00

Question 11

Decide if the number is rational or irrational.
-1.27272624...

Accepted Answer

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

Question 12

Evaluate the expression.
-$$54 \div ( - 3 )$$

Accepted Answer

A)  $- 28$ 
B)  $- 18$ 
C)  18 
D)  $- \frac { 1 } { 18 }$ 
A)  $- 28$ 
B)  $- 18$ 
C)  18 
D)  $- \frac { 1 } { 18 }$

Question 13

Find the least common multiple (LCM).
-120 and 90

Accepted Answer

A)  30 
B)  720 
C)  1080 
D)  360 
A)  30 
B)  720 
C)  1080 
D)  360

Question 14

Convert the mixed number into an improper fraction.
-$3 \frac { 2 } { 7 }$

Accepted Answer

A)  $\frac { 23 } { 7 }$ 
B)  $\frac { 21 } { 2 }$ 
C)  $\frac { 21 } { 7 }$ 
D)  $\frac { 23 } { 2 }$ 
A)  $\frac { 23 } { 7 }$ 
B)  $\frac { 21 } { 2 }$ 
C)  $\frac { 21 } { 7 }$ 
D)  $\frac { 23 } { 2 }$

Question 15

Solve the problem.
-The seamstress has a length of 15 feet of material on a bolt. She plans to use the material to make Scarves. If each scarf requires a length of $7 \frac { 1 } { 2 }$ Inches, how many can be made? (1 foot = 12 inches)

Accepted Answer

A)  25 scarves 
B)  135 scarves 
C)  24 scarves 
D)  2 scarves 
A)  25 scarves 
B)  135 scarves 
C)  24 scarves 
D)  2 scarves

Question 16

Find the prime factorization of the number
-32,625

Accepted Answer

A)  $5 ^ { 4 } \cdot 29$ 
B)  $3 ^ { 4 } \cdot 29$ 
C)  $3 ^ { 2 } \cdot 5 ^ { 3 } \cdot 29$ 
D)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 29$ 
A)  $5 ^ { 4 } \cdot 29$ 
B)  $3 ^ { 4 } \cdot 29$ 
C)  $3 ^ { 2 } \cdot 5 ^ { 3 } \cdot 29$ 
D)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 29$

Question 17

Write the fraction in lowest terms.
-$$- \frac { 18 } { 84 }$$

Accepted Answer

A)  $- \frac { 3 } { 14 }$ 
B)  $- \frac { 14 } { 3 }$ 
C)  $\frac { 83 } { 17 }$ 
D)  $\frac { 3 } { 14 }$ 
A)  $- \frac { 3 } { 14 }$ 
B)  $- \frac { 14 } { 3 }$ 
C)  $\frac { 83 } { 17 }$ 
D)  $\frac { 3 } { 14 }$

Question 18

Evaluate the expression.
-(-4)(-4)(-8)

Accepted Answer

A)  -128 
B)  -28 
C)  128 
D)  -138 
A)  -128 
B)  -28 
C)  128 
D)  -138

Question 19

Evaluate the expression.
-(-6)(-8)(-8)

Accepted Answer

A)  384 
B)  -374 
C)  96 
D)  -384 
A)  384 
B)  -374 
C)  96 
D)  -384

Question 20

Find the greatest common divisor (GCD).
-120 and 270

Accepted Answer

A)  30 
B)  6 
C)  10 
D)  15 
A)  30 
B)  6 
C)  10 
D)  15

Decide if the number is rational or irrational. - $- \sqrt { 169 }$

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 10 } { 19 } \right) \div \left( \frac { 3 } { 4 } \right)$

Express the rational number as a terminating or repeating decimal number. - $\frac { 7 } { 4 }$

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 3 } { 2 } \right) \left( \frac { 8 } { 7 } \right)$

Evaluate the expression. -15 - (-10)

Evaluate the expression. -11 + 23 + (-12)

Evaluate the expression. - $( - 384 ) / 96$

Express the repeating decimal number as a quotient of two integers. - $0 . \overline { 400 }$

Evaluate the expression. -[4 + (-4)] + (-5 + 8)

Solve the problem. -John presently earns $96 a week doing yard chores after school. After 3 months, his pay will Increase by $\frac { 1 } { 8 } .$ How much will he then earn per week?

Decide if the number is rational or irrational. -1.27272624...

Evaluate the expression. - $54 \div ( - 3 )$

Find the least common multiple (LCM). -120 and 90

Convert the mixed number into an improper fraction. - $3 \frac { 2 } { 7 }$

Solve the problem. -The seamstress has a length of 15 feet of material on a bolt. She plans to use the material to make Scarves. If each scarf requires a length of $7 \frac { 1 } { 2 }$ Inches, how many can be made? (1 foot = 12 inches)

Find the prime factorization of the number -32,625

Write the fraction in lowest terms. - $- \frac { 18 } { 84 }$

Evaluate the expression. -(-4)(-4)(-8)

Evaluate the expression. -(-6)(-8)(-8)

Find the greatest common divisor (GCD). -120 and 270

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

Decide if the number is rational or irrational. - −169- \sqrt { 169 }−169​

Perform the operation and give the answer as a fraction in lowest terms. - (−1019)÷(34)\left( - \frac { 10 } { 19 } \right) \div \left( \frac { 3 } { 4 } \right)(−1910​)÷(43​)

Express the rational number as a terminating or repeating decimal number. - 74\frac { 7 } { 4 }47​

Perform the operation and give the answer as a fraction in lowest terms. - (−32)(87)\left( - \frac { 3 } { 2 } \right) \left( \frac { 8 } { 7 } \right)(−23​)(78​)