Question 1

Decide whether or not the fractions are equivalent.
-$- \frac { 5 } { 9 } \text { and } - \frac { 10 } { 18 }$

Accepted Answer

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

Question 2

Decide if the number is rational or irrational.
-0.55555555...

Accepted Answer

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

Question 3

Use the graph to answer the question.  
-Which month in 2001 had the highest sales?

Accepted Answer

A) Month 6 
B) Month 5 
C) Month 3 
D) Month 12 
A) Month 6 
B) Month 5 
C) Month 3 
D) Month 12

Question 4

Write the fraction in lowest terms.
-$- \frac { 52 } { 110 }$

Accepted Answer

A)  $\frac { 109 } { 51 }$ 
B)  $- \frac { 55 } { 26 }$ 
C)  $\frac { 26 } { 55 }$ 
D)  $- \frac { 26 } { 55 }$ 
A)  $\frac { 109 } { 51 }$ 
B)  $- \frac { 55 } { 26 }$ 
C)  $\frac { 26 } { 55 }$ 
D)  $- \frac { 26 } { 55 }$

Question 5

Find the rational number halfway between the two given rational numbers.
-$\frac { 1 } { 2 } , \frac { 9 } { 10 }$

Accepted Answer

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

Question 6

Write as a percent.
-$1 \frac { 3 } { 20 }$

Accepted Answer

A)  $115 \%$ 
B)  $1 \frac { 3 } { 20 } \%$ 
C)  $11 \frac { 1 } { 2 } \%$ 
D)  $57 \frac { 1 } { 2 } \%$ 
A)  $115 \%$ 
B)  $1 \frac { 3 } { 20 } \%$ 
C)  $11 \frac { 1 } { 2 } \%$ 
D)  $57 \frac { 1 } { 2 } \%$

Question 7

Perform the operation and reduce the answer to lowest terms.
-$6 \cdot \frac { 10 } { 11 }$

Accepted Answer

A)  $1 \frac { 1 } { 3 }$ 
B)  $\frac { 3 } { 11 }$ 
C)  $\frac { 5 } { 33 }$ 
D)  $5 \frac { 5 } { 11 }$ 
A)  $1 \frac { 1 } { 3 }$ 
B)  $\frac { 3 } { 11 }$ 
C)  $\frac { 5 } { 33 }$ 
D)  $5 \frac { 5 } { 11 }$

Question 8

Write the fraction in lowest terms.
-$\frac { 84 } { 94 }$

Accepted Answer

A)  $\frac { 47 } { 42 }$ 
B)  $\frac { 42 } { 47 }$ 
C)  $\frac { 17 } { 19 }$ 
D)  $\frac { 93 } { 83 }$ 
A)  $\frac { 47 } { 42 }$ 
B)  $\frac { 42 } { 47 }$ 
C)  $\frac { 17 } { 19 }$ 
D)  $\frac { 93 } { 83 }$

Question 9

Perform the indicated operations.
-$7 \sqrt { 6 } - 2 \sqrt { 6 }$

Accepted Answer

A)  $- 8 \sqrt { 6 }$ 
B)  $5 \sqrt { 6 }$ 
C)  $9 \sqrt { 6 }$ 
D)  $- 6 \sqrt { 6 }$ 
A)  $- 8 \sqrt { 6 }$ 
B)  $5 \sqrt { 6 }$ 
C)  $9 \sqrt { 6 }$ 
D)  $- 6 \sqrt { 6 }$

Question 10

Perform the operation and give the answer as a fraction in lowest terms.
-$- \frac { 1 } { 3 } - \frac { 1 } { 18 }$

Accepted Answer

A)  $- \frac { 1 } { 36 }$ 
B)  $- \frac { 1 } { 8 }$ 
C)  $- \frac { 7 } { 4 }$ 
D)  $- \frac { 7 } { 18 }$ 
A)  $- \frac { 1 } { 36 }$ 
B)  $- \frac { 1 } { 8 }$ 
C)  $- \frac { 7 } { 4 }$ 
D)  $- \frac { 7 } { 18 }$

Question 11

Write as a percent.
-0.6

Accepted Answer

A) 0.6% 
B) 600% 
C) 0.06% 
D) 60% 
A) 0.6% 
B) 600% 
C) 0.06% 
D) 60%

Question 12

Decide if the number is rational or irrational.
-6.283

Accepted Answer

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

Question 13

Write as a real number or a product of a real number and i.
-$\frac { \sqrt { - 200 } } { \sqrt { - 8 } }$

Accepted Answer

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

Question 14

Perform the indicated operation.
-(-5)(-3)(-4)

Accepted Answer

A) -60 
B) 65 
C) -65 
D) 60 
A) -60 
B) 65 
C) -65 
D) 60

Question 15

Solve the problem.
-Sales of frozen pizza for a club fund-raiser increased from 500 one year to 700 the next year. What was the percent of the increase?

Accepted Answer

A) 60% 
B) 71.4% 
C) 40% 
D) 28.6% 
A) 60% 
B) 71.4% 
C) 40% 
D) 28.6%

Question 16

List all the elements of B that belong to the specified set.
-$\mathrm { B } = \left\{ 10 , \sqrt { 8 } , - 8,0 , \frac { 1 } { 8 } , \sqrt { 16 } \right\}$ 
Real numbers

Accepted Answer

A)  $10 , - 8,0 , \sqrt { 16 }$ 
B)  $10 , - 8,0 , \frac { 1 } { 8 } , \sqrt { 16 }$ 
C)  $10 , - 8,0 , \frac { 1 } { 8 }$ 
D)  $10 , \sqrt { 8 } , - 8,0 , \frac { 1 } { 8 } , \sqrt { 16 }$ 
A)  $10 , - 8,0 , \sqrt { 16 }$ 
B)  $10 , - 8,0 , \frac { 1 } { 8 } , \sqrt { 16 }$ 
C)  $10 , - 8,0 , \frac { 1 } { 8 }$ 
D)  $10 , \sqrt { 8 } , - 8,0 , \frac { 1 } { 8 } , \sqrt { 16 }$

Question 17

Use the chart to answer the question.
-The NSC (Not So Consistent)Corporation has just completed its first year of business. The following chart shows its monthly profit (or loss). $\begin{array} { l r } \text { Month } & \text { Profit (Loss) in Dollars } \ \text { January } & - 14,526 \ \text { February } & 1874 \ \text { March } & - 8977 \ \text { April } & - 14,107 \ \text { May } & 14,073 \ \text { June } & 14,632 \ \text { July } & - 13,834 \ \text { August } & - 13,170 \ \text { September } & - 4860 \ \text { October } & 6630 \ \text { November } & - 3338 \ \text { December } & - 974 \end{array}$
Of the months which had no profit, which had the least loss?

Accepted Answer

A)  June 
B)  January 
C)  December 
D)  February 
A)  June 
B)  January 
C)  December 
D)  February

Question 18

Every integer is an irrational number.

Accepted Answer

A) True 
 B)False

Question 19

Solve the problem.
-Brand X copier advertises that its copiers run 24% longer between service calls than its competitor. If Brand X copiers run 48,800 copies between services, how many copies would the competitor run?

Accepted Answer

A) 27,727 copies 
B) 37,088 copies 
C) 39,355 copies 
D) 60,512 copies 
A) 27,727 copies 
B) 37,088 copies 
C) 39,355 copies 
D) 60,512 copies

Question 20

Solve the problem.
-Ellen is knitting a scarf with one 3 -inch blue stripe, one 2 -inch green stripe, and one $1 \frac { 5 } { 9 }$-inch white stripe. How wide is the scarf?

Accepted Answer

A)  $\frac { 9 } { 59 } \mathrm { in }$. 
B)  $\frac { 22 } { 45 } \mathrm { in }$. 
C)  $2 \frac { 1 } { 22 } \mathrm { in }$. 
D)  $6 \frac { 5 } { 9 } \mathrm { in }$. 
A)  $\frac { 9 } { 59 } \mathrm { in }$. 
B)  $\frac { 22 } { 45 } \mathrm { in }$. 
C)  $2 \frac { 1 } { 22 } \mathrm { in }$. 
D)  $6 \frac { 5 } { 9 } \mathrm { in }$.

Decide whether or not the fractions are equivalent. - $- \frac { 5 } { 9 } \text { and } - \frac { 10 } { 18 }$

Decide if the number is rational or irrational. -0.55555555...

Use the graph to answer the question. -Which month in 2001 had the highest sales?

Write the fraction in lowest terms. - $- \frac { 52 } { 110 }$

Find the rational number halfway between the two given rational numbers. - $\frac { 1 } { 2 } , \frac { 9 } { 10 }$

Write as a percent. - $1 \frac { 3 } { 20 }$

Perform the operation and reduce the answer to lowest terms. - $6 \cdot \frac { 10 } { 11 }$

Write the fraction in lowest terms. - $\frac { 84 } { 94 }$

Perform the indicated operations. - $7 \sqrt { 6 } - 2 \sqrt { 6 }$

Perform the operation and give the answer as a fraction in lowest terms. - $- \frac { 1 } { 3 } - \frac { 1 } { 18 }$

Write as a percent. -0.6

Decide if the number is rational or irrational. -6.283

Write as a real number or a product of a real number and i. - $\frac { \sqrt { - 200 } } { \sqrt { - 8 } }$

Perform the indicated operation. -(-5)(-3)(-4)

Solve the problem. -Sales of frozen pizza for a club fund-raiser increased from 500 one year to 700 the next year. What was the percent of the increase?

List all the elements of B that belong to the specified set. - $\mathrm { B } = \left\{ 10 , \sqrt { 8 } , - 8,0 , \frac { 1 } { 8 } , \sqrt { 16 } \right\}$ Real numbers

Every integer is an irrational number.

Solve the problem. -Brand X copier advertises that its copiers run 24% longer between service calls than its competitor. If Brand X copiers run 48,800 copies between services, how many copies would the competitor run?

Solve the problem. -Ellen is knitting a scarf with one 3 -inch blue stripe, one 2 -inch green stripe, and one $1 \frac { 5 } { 9 }$ -inch white stripe. How wide is the scarf?

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

Decide whether or not the fractions are equivalent. - −59 and −1018- \frac { 5 } { 9 } \text { and } - \frac { 10 } { 18 }−95​ and −1810​

Decide if the number is rational or irrational. -0.55555555...

Use the graph to answer the question. -Which month in 2001 had the highest sales?

Write the fraction in lowest terms. - −52110- \frac { 52 } { 110 }−11052​

Find the rational number halfway between the two given rational numbers. - 12,910\frac { 1 } { 2 } , \frac { 9 } { 10 }21​,109​

Write as a percent. - 13201 \frac { 3 } { 20 }1203​

Perform the operation and reduce the answer to lowest terms. - 6⋅10116 \cdot \frac { 10 } { 11 }6⋅1110​

Write the fraction in lowest terms. - 8494\frac { 84 } { 94 }9484​

Perform the indicated operations. - 76−267 \sqrt { 6 } - 2 \sqrt { 6 }76​−26​

Perform the operation and give the answer as a fraction in lowest terms. - −13−118- \frac { 1 } { 3 } - \frac { 1 } { 18 }−31​−181​

Write as a percent. -0.6

Decide if the number is rational or irrational. -6.283

Write as a real number or a product of a real number and i. - −200−8\frac { \sqrt { - 200 } } { \sqrt { - 8 } }−8​−200​​

Perform the indicated operation. -(-5)(-3)(-4)

Solve the problem. -Sales of frozen pizza for a club fund-raiser increased from 500 one year to 700 the next year. What was the percent of the increase?

List all the elements of B that belong to the specified set. - B={10,8,−8,0,18,16}\mathrm { B } = \left\{ 10 , \sqrt { 8 } , - 8,0 , \frac { 1 } { 8 } , \sqrt { 16 } \right\}B={10,8​,−8,0,81​,16​} Real numbers

Every integer is an irrational number.

Solve the problem. -Brand X copier advertises that its copiers run 24% longer between service calls than its competitor. If Brand X copiers run 48,800 copies between services, how many copies would the competitor run?

Solve the problem. -Ellen is knitting a scarf with one 3 -inch blue stripe, one 2 -inch green stripe, and one 1591 \frac { 5 } { 9 }195​ -inch white stripe. How wide is the scarf?

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

Decide whether or not the fractions are equivalent. - $- \frac { 5 } { 9 } \text { and } - \frac { 10 } { 18 }$

Write the fraction in lowest terms. - $- \frac { 52 } { 110 }$

Find the rational number halfway between the two given rational numbers. - $\frac { 1 } { 2 } , \frac { 9 } { 10 }$

Write as a percent. - $1 \frac { 3 } { 20 }$

Perform the operation and reduce the answer to lowest terms. - $6 \cdot \frac { 10 } { 11 }$

Write the fraction in lowest terms. - $\frac { 84 } { 94 }$

Perform the indicated operations. - $7 \sqrt { 6 } - 2 \sqrt { 6 }$

Perform the operation and give the answer as a fraction in lowest terms. - $- \frac { 1 } { 3 } - \frac { 1 } { 18 }$

Write as a real number or a product of a real number and i. - $\frac { \sqrt { - 200 } } { \sqrt { - 8 } }$

List all the elements of B that belong to the specified set. - $\mathrm { B } = \left\{ 10 , \sqrt { 8 } , - 8,0 , \frac { 1 } { 8 } , \sqrt { 16 } \right\}$ Real numbers

Solve the problem. -Ellen is knitting a scarf with one 3 -inch blue stripe, one 2 -inch green stripe, and one $1 \frac { 5 } { 9 }$ -inch white stripe. How wide is the scarf?