Question 1

Perform the operation and give the answer as a fraction in lowest terms.
-$\frac { 4 } { 9 } + \frac { 1 } { 10 }$

Accepted Answer

A)  $\frac { 1 } { 18 }$ 
B)  $\frac { 5 } { 19 }$ 
C)  $2 \frac { 11 } { 19 }$ 
D)  $\frac { 49 } { 90 }$ 
A)  $\frac { 1 } { 18 }$ 
B)  $\frac { 5 } { 19 }$ 
C)  $2 \frac { 11 } { 19 }$ 
D)  $\frac { 49 } { 90 }$

Question 2

Perform the indicated operations.
-$5 \sqrt { 7 } + \sqrt { 7 }$

Accepted Answer

A)  $5 \sqrt { 7 }$ 
B)  $6 \sqrt { 14 }$ 
C)  $6 \sqrt { 7 }$ 
D)  $5 \sqrt { 14 }$ 
A)  $5 \sqrt { 7 }$ 
B)  $6 \sqrt { 14 }$ 
C)  $6 \sqrt { 7 }$ 
D)  $5 \sqrt { 14 }$

Question 3

Express the rational number as a terminating or repeating decimal number.
-$\frac { 8 } { 11 }$

Accepted Answer

A)  $0 . \overline { 72 }$ 
B)  $0.7 \overline { 2 }$ 
C)  $0 . \overline { 728 }$ 
D)  $0 . \overline { 7 }$ 
A)  $0 . \overline { 72 }$ 
B)  $0.7 \overline { 2 }$ 
C)  $0 . \overline { 728 }$ 
D)  $0 . \overline { 7 }$

Question 4

The absolute value of any number is positive.

Accepted Answer

A) True 
 B)False

Question 5

Write as a percent.
-7.4

Accepted Answer

A) 74% 
B) 0.0074% 
C) 0.74% 
D) 740% 
A) 74% 
B) 0.0074% 
C) 0.74% 
D) 740%

Question 6

Write a fraction in lowest terms that represents the portion of the figure that is shaded.
-

Accepted Answer

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

Question 7

Write as a real number or a product of a real number and i.
-$\frac { \sqrt { - 10 } \cdot \sqrt { - 5 } } { \sqrt { 2 } }$

Accepted Answer

A)  5 
B)  $25 \mathrm { i }$ 
C)  $5 \mathrm { i }$ 
D)  $- 5$ 
A)  5 
B)  $25 \mathrm { i }$ 
C)  $5 \mathrm { i }$ 
D)  $- 5$

Question 8

Find the square root correct to the thousandths place.
-$\sqrt { \frac { 3 } { 7 } }$

Accepted Answer

A)  $0.429$ 
B)  $0.655$ 
C)  $1.134$ 
D)  $0.247$ 
A)  $0.429$ 
B)  $0.655$ 
C)  $1.134$ 
D)  $0.247$

Question 9

Find the root. Round to three decimal places if necessary.
-$- \sqrt [ 4 ] { 256 }$

Accepted Answer

A)  Not real number 
B)  $- 4$ 
C)  $6.233$ 
D)  16 
A)  Not real number 
B)  $- 4$ 
C)  $6.233$ 
D)  16

Question 10

Write the fraction in lowest terms.
-$\frac { 51 } { 68 }$

Accepted Answer

A)  $\frac { 67 } { 50 }$ 
B)  $\frac { 51 } { 68 }$ 
C)  $\frac { 4 } { 3 }$ 
D)  $\frac { 3 } { 4 }$ 
A)  $\frac { 67 } { 50 }$ 
B)  $\frac { 51 } { 68 }$ 
C)  $\frac { 4 } { 3 }$ 
D)  $\frac { 3 } { 4 }$

Question 11

Give the opposite and then the absolute value of the number.
-15

Accepted Answer

A) 15, 15 
B) -15, 15 
C) -15, -15 
D) 0, 15 
A) 15, 15 
B) -15, 15 
C) -15, -15 
D) 0, 15

Question 12

Decide whether or not the fractions are equivalent.
-$\frac { 3 } { 9 } \text { and } \frac { 6 } { 45 }$

Accepted Answer

A) Equivalent 
B) Not equivalent 
A) Equivalent 
B) Not equivalent

Question 13

Use an integer to express the number.
-Mr. Voss decreased his speed by 19 miles per hour.

Accepted Answer

A) 19 
B) -19 
A) 19 
B) -19

Question 14

Simplify and evaluate using a calculator.
-$\sqrt { 20 }$

Accepted Answer

A)  $2 \sqrt { 5 } ; 4.47213595$ 
B)  $5 \sqrt { 2 } ; 4.47213595$ 
C)  $2 \sqrt { 10 } ; 4.47213595$ 
D)  $10 ; 10$ 
A)  $2 \sqrt { 5 } ; 4.47213595$ 
B)  $5 \sqrt { 2 } ; 4.47213595$ 
C)  $2 \sqrt { 10 } ; 4.47213595$ 
D)  $10 ; 10$

Question 15

Find the root. Round to three decimal places if necessary.
-$\sqrt [ 3 ] { 1000 }$

Accepted Answer

A)  10 
B)  Not real number 
C)  31 
D)  100 
A)  10 
B)  Not real number 
C)  31 
D)  100

Question 16

Write the decimal as a fraction in lowest terms.
-$5.33$

Accepted Answer

A)  $\frac { 533 } { 200 }$ 
B)  $\frac { 1 } { 533 }$ 
C)  $\frac { 533 } { 100 }$ 
D)  $\frac { 533 } { 50 }$ 
A)  $\frac { 533 } { 200 }$ 
B)  $\frac { 1 } { 533 }$ 
C)  $\frac { 533 } { 100 }$ 
D)  $\frac { 533 } { 50 }$

Question 17

Use an integer to express the number.
-One country exported $88,100,000 more than it imported, giving it a positive trade balance.

Accepted Answer

A) 88,100,000 
B) -88,100,000 
A) 88,100,000 
B) -88,100,000

Question 18

List all the elements of B that belong to the specified set.
-$B = \left\{ 18 , \sqrt { 5 } , - 10,0 , \frac { 2 } { 3 } , \sqrt { 16 } , 0.61 \right\}$
Rational numbers

Accepted Answer

A)  $\sqrt { 5 } , \sqrt { 16 }$ 
B)  $18 , - 10,0 , \frac { 2 } { 3 }$ 
C)  $18,0 , \sqrt { 16 }$ 
D)  $18 , - 10,0 , \frac { 2 } { 3 } , \sqrt { 16 } , 0.61$ 
A)  $\sqrt { 5 } , \sqrt { 16 }$ 
B)  $18 , - 10,0 , \frac { 2 } { 3 }$ 
C)  $18,0 , \sqrt { 16 }$ 
D)  $18 , - 10,0 , \frac { 2 } { 3 } , \sqrt { 16 } , 0.61$

Question 19

Decide if the number is rational or irrational.
-1.28262325...

Accepted Answer

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

Question 20

Find the root. Round to three decimal places if necessary.
-$\sqrt [ 4 ] { 351 }$

Accepted Answer

A)  $4.112$ 
B)  $87.75$ 
C)  $18.735$ 
D)  $4.328$ 
A)  $4.112$ 
B)  $87.75$ 
C)  $18.735$ 
D)  $4.328$

Perform the operation and give the answer as a fraction in lowest terms. - $\frac { 4 } { 9 } + \frac { 1 } { 10 }$

Perform the indicated operations. - $5 \sqrt { 7 } + \sqrt { 7 }$

Express the rational number as a terminating or repeating decimal number. - $\frac { 8 } { 11 }$

The absolute value of any number is positive.

Write as a percent. -7.4

Write a fraction in lowest terms that represents the portion of the figure that is shaded. - $Write a fraction in lowest terms that represents the portion of the figure that is shaded. -$

Write as a real number or a product of a real number and i. - $\frac { \sqrt { - 10 } \cdot \sqrt { - 5 } } { \sqrt { 2 } }$

Find the square root correct to the thousandths place. - $\sqrt { \frac { 3 } { 7 } }$

Find the root. Round to three decimal places if necessary. - $- \sqrt [ 4 ] { 256 }$

Write the fraction in lowest terms. - $\frac { 51 } { 68 }$

Give the opposite and then the absolute value of the number. -15

Decide whether or not the fractions are equivalent. - $\frac { 3 } { 9 } \text { and } \frac { 6 } { 45 }$

Use an integer to express the number. -Mr. Voss decreased his speed by 19 miles per hour.

Simplify and evaluate using a calculator. - $\sqrt { 20 }$

Find the root. Round to three decimal places if necessary. - $\sqrt [ 3 ] { 1000 }$

Write the decimal as a fraction in lowest terms. - $5.33$

Use an integer to express the number. -One country exported $88,100,000 more than it imported, giving it a positive trade balance.

List all the elements of B that belong to the specified set. - $B = \left\{ 18 , \sqrt { 5 } , - 10,0 , \frac { 2 } { 3 } , \sqrt { 16 } , 0.61 \right\}$ Rational numbers

Decide if the number is rational or irrational. -1.28262325...

Find the root. Round to three decimal places if necessary. - $\sqrt [ 4 ] { 351 }$

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 6: The Real Numbers and Their Representations

Perform the operation and give the answer as a fraction in lowest terms. - 49+110\frac { 4 } { 9 } + \frac { 1 } { 10 }94​+101​

Perform the indicated operations. - 57+75 \sqrt { 7 } + \sqrt { 7 }57​+7​

Express the rational number as a terminating or repeating decimal number. - 811\frac { 8 } { 11 }118​

The absolute value of any number is positive.

Write as a percent. -7.4

Write a fraction in lowest terms that represents the portion of the figure that is shaded. -

Write as a real number or a product of a real number and i. - −10⋅−52\frac { \sqrt { - 10 } \cdot \sqrt { - 5 } } { \sqrt { 2 } }2​−10​⋅−5​​

Find the square root correct to the thousandths place. - 37\sqrt { \frac { 3 } { 7 } }73​​

Find the root. Round to three decimal places if necessary. - −2564- \sqrt [ 4 ] { 256 }−4256​

Write the fraction in lowest terms. - 5168\frac { 51 } { 68 }6851​

Give the opposite and then the absolute value of the number. -15

Decide whether or not the fractions are equivalent. - 39 and 645\frac { 3 } { 9 } \text { and } \frac { 6 } { 45 }93​ and 456​

Use an integer to express the number. -Mr. Voss decreased his speed by 19 miles per hour.

Simplify and evaluate using a calculator. - 20\sqrt { 20 }20​

Find the root. Round to three decimal places if necessary. - 10003\sqrt [ 3 ] { 1000 }31000​

Write the decimal as a fraction in lowest terms. - 5.335.335.33

Use an integer to express the number. -One country exported $88,100,000 more than it imported, giving it a positive trade balance.

List all the elements of B that belong to the specified set. - B={18,5,−10,0,23,16,0.61}B = \left\{ 18 , \sqrt { 5 } , - 10,0 , \frac { 2 } { 3 } , \sqrt { 16 } , 0.61 \right\}B={18,5​,−10,0,32​,16​,0.61} Rational numbers

Decide if the number is rational or irrational. -1.28262325...

Find the root. Round to three decimal places if necessary. - 3514\sqrt [ 4 ] { 351 }4351​

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Perform the operation and give the answer as a fraction in lowest terms. - $\frac { 4 } { 9 } + \frac { 1 } { 10 }$

Perform the indicated operations. - $5 \sqrt { 7 } + \sqrt { 7 }$

Express the rational number as a terminating or repeating decimal number. - $\frac { 8 } { 11 }$

Write a fraction in lowest terms that represents the portion of the figure that is shaded. - $Write a fraction in lowest terms that represents the portion of the figure that is shaded. -$

Write as a real number or a product of a real number and i. - $\frac { \sqrt { - 10 } \cdot \sqrt { - 5 } } { \sqrt { 2 } }$

Find the square root correct to the thousandths place. - $\sqrt { \frac { 3 } { 7 } }$

Find the root. Round to three decimal places if necessary. - $- \sqrt [ 4 ] { 256 }$

Write the fraction in lowest terms. - $\frac { 51 } { 68 }$

Decide whether or not the fractions are equivalent. - $\frac { 3 } { 9 } \text { and } \frac { 6 } { 45 }$

Simplify and evaluate using a calculator. - $\sqrt { 20 }$

Find the root. Round to three decimal places if necessary. - $\sqrt [ 3 ] { 1000 }$

Write the decimal as a fraction in lowest terms. - $5.33$

List all the elements of B that belong to the specified set. - $B = \left\{ 18 , \sqrt { 5 } , - 10,0 , \frac { 2 } { 3 } , \sqrt { 16 } , 0.61 \right\}$ Rational numbers

Find the root. Round to three decimal places if necessary. - $\sqrt [ 4 ] { 351 }$