Question 1

Some rational numbers are integers.

Accepted Answer

A) True 
 B)False  True

Question 2

Write the decimal as a fraction in lowest terms.
-$0.0004$

Accepted Answer

A)  $\frac { 1 } { 250 }$ 
B)  $\frac { 1 } { 2500 }$ 
C)  $\frac { 1 } { 5000 }$ 
D)  $\frac { 1 } { 1250 }$ 
A)  $\frac { 1 } { 250 }$ 
B)  $\frac { 1 } { 2500 }$ 
C)  $\frac { 1 } { 5000 }$ 
D)  $\frac { 1 } { 1250 }$ B

Question 3

Simplify and evaluate using a calculator.
-$\frac { 7 } { \sqrt { 6 } }$

Accepted Answer

A)  $\frac { 7 \sqrt { 6 } } { 6 } ; 2.85773803$ 
B)  43 
C)  $7 \sqrt { 6 } ; 2.85773803$ 
D)  $\frac { 49 \sqrt { 6 } } { 6 } ; 2.85773803$ 
A)  $\frac { 7 \sqrt { 6 } } { 6 } ; 2.85773803$ 
B)  43 
C)  $7 \sqrt { 6 } ; 2.85773803$ 
D)  $\frac { 49 \sqrt { 6 } } { 6 } ; 2.85773803$ A

Question 4

Use an integer to express the number.
-On a cloudy day, the water temperature in the swimming pool drops 4 degrees.

Accepted Answer

A) -4 
B) 4 
A) -4 
B) 4

Question 5

Decide if the number is rational or irrational.
-$0 . \overline { 148 }$

Accepted Answer

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

Question 6

$\text { Since } \sqrt { 10 } \text { can be written as } \frac { \sqrt { 10 } } { 1 } , \text { is } \sqrt { 10 } \text { a rational number? Explain. }$

Accepted Answer

No. Explan

Question 7

Perform the indicated operations.
--2(9 - 4 + 3)

Accepted Answer

A) 16 
B) 20 
C) -20 
D) -16 
A) 16 
B) 20 
C) -20 
D) -16

Question 8

In a school survey, students showed these preferences for instructional materials. Answer the question.  
-About how many students would you expect to prefer films in a school of 300 students?

Accepted Answer

A) About 60 students 
B) About 20 students 
C) About 36 students 
D) About 54 students 
A) About 60 students 
B) About 20 students 
C) About 36 students 
D) About 54 students

Question 9

What percent of 103 is 14.32?

Accepted Answer

A) 0.14% 
B) 0.07% 
C) 719.27% 
D) 13.90% 
A) 0.14% 
B) 0.07% 
C) 719.27% 
D) 13.90%

Question 10

Evaluate the expression.
-$- [ - ( - 5 ) ] ^ { 2 }$

Accepted Answer

A)  $- 25$ 
B)  25 
A)  $- 25$ 
B)  25

Question 11

Perform the indicated operations.
-$8 \sqrt { 5 } - 6 \sqrt { 20 }$

Accepted Answer

A)  $2 \sqrt { 5 }$ 
B)  $4 \sqrt { 5 }$ 
C)  $- 4 \sqrt { 5 }$ 
D)  $- 20 \sqrt { 5 }$ 
A)  $2 \sqrt { 5 }$ 
B)  $4 \sqrt { 5 }$ 
C)  $- 4 \sqrt { 5 }$ 
D)  $- 20 \sqrt { 5 }$

Question 12

Perform the operation and reduce the answer to lowest terms.
-$2 \frac { 19 } { 28 } \cdot 2 \frac { 4 } { 19 }$

Accepted Answer

A)  $\frac { 392 } { 475 }$ 
B)  $5 \frac { 35 } { 38 }$ 
C)  $2 \frac { 9 } { 22 }$ 
D)  $\frac { 75 } { 1064 }$ 
A)  $\frac { 392 } { 475 }$ 
B)  $5 \frac { 35 } { 38 }$ 
C)  $2 \frac { 9 } { 22 }$ 
D)  $\frac { 75 } { 1064 }$

Question 13

Use an integer to express the number.
-A football team gained 3 yards on one play.

Accepted Answer

A) -3 
B) 3 
A) -3 
B) 3

Question 14

Decide if the number is rational or irrational.
-$\frac { 8 + \sqrt { 5 } } { 3 }$

Accepted Answer

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

Question 15

Solve the problem.
-Police use a formula $s = S \sqrt { \frac { x } { L } }$, where $S$ is the test-car speed (mph) and $L$ is the test-skid length (feet), to find the actual speed, s, in an accident which left a skid mark of length $x$ feet. Find the actual speed (to the nearest tenth) when $\mathrm { S } = 63 \mathrm { mph } , \mathrm { x } = 150 \mathrm { ft } , \mathrm { L } = 100 \mathrm { ft }$.

Accepted Answer

A)  $51.7 \mathrm { mph }$ 
B)  $77.2 \mathrm { mph }$ 
C)  $113.0 \mathrm { mph }$ 
D)  $94.5 \mathrm { mph }$ 
A)  $51.7 \mathrm { mph }$ 
B)  $77.2 \mathrm { mph }$ 
C)  $113.0 \mathrm { mph }$ 
D)  $94.5 \mathrm { mph }$

Question 16

Perform the operation and reduce the answer to lowest terms.
-$8 \frac { 1 } { 3 } - 1 \frac { 3 } { 8 }$

Accepted Answer

A)  $55 \frac { 2 } { 3 }$ 
B)  $\frac { 24 } { 167 }$ 
C)  $6 \frac { 23 } { 24 }$ 
D)  $\frac { 7 } { 12 }$ 
A)  $55 \frac { 2 } { 3 }$ 
B)  $\frac { 24 } { 167 }$ 
C)  $6 \frac { 23 } { 24 }$ 
D)  $\frac { 7 } { 12 }$

Question 17

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

Accepted Answer

A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 5 } { 3 }$ 
C)  $\frac { 5 } { 8 }$ 
D)  $\frac { 3 } { 5 }$ 
A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 5 } { 3 }$ 
C)  $\frac { 5 } { 8 }$ 
D)  $\frac { 3 } { 5 }$

Question 18

Solve the problem.
-The normal gasoline mileage of a car is 22 mpg. What is its mileage on a smooth road (12% increase)?

Accepted Answer

A) 50 mpg 
B) 2.6 mpg 
C) 22 mpg 
D) 24.6 mpg 
A) 50 mpg 
B) 2.6 mpg 
C) 22 mpg 
D) 24.6 mpg

Question 19

Select the smaller of the two given numbers.
--119, 17

Accepted Answer

A) 17 
B) -119 
A) 17 
B) -119

Question 20

Express the rational number as a terminating or repeating decimal number.
-$\frac { 1 } { 5 }$

Accepted Answer

A)  $0.1$ 
B)  $0.02$ 
C)  $0.2$ 
D)  2 
A)  $0.1$ 
B)  $0.02$ 
C)  $0.2$ 
D)  2

Some rational numbers are integers.

Write the decimal as a fraction in lowest terms. - $0.0004$

Simplify and evaluate using a calculator. - $\frac { 7 } { \sqrt { 6 } }$

Use an integer to express the number. -On a cloudy day, the water temperature in the swimming pool drops 4 degrees.

Decide if the number is rational or irrational. - $0 . \overline { 148 }$

$\text { Since } \sqrt { 10 } \text { can be written as } \frac { \sqrt { 10 } } { 1 } , \text { is } \sqrt { 10 } \text { a rational number? Explain. }$

Perform the indicated operations. --2(9 - 4 + 3)

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer films in a school of 300 students?

What percent of 103 is 14.32?

Evaluate the expression. - $- [ - ( - 5 ) ] ^ { 2 }$

Perform the indicated operations. - $8 \sqrt { 5 } - 6 \sqrt { 20 }$

Perform the operation and reduce the answer to lowest terms. - $2 \frac { 19 } { 28 } \cdot 2 \frac { 4 } { 19 }$

Use an integer to express the number. -A football team gained 3 yards on one play.

Decide if the number is rational or irrational. - $\frac { 8 + \sqrt { 5 } } { 3 }$

Perform the operation and reduce the answer to lowest terms. - $8 \frac { 1 } { 3 } - 1 \frac { 3 } { 8 }$

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

Solve the problem. -The normal gasoline mileage of a car is 22 mpg. What is its mileage on a smooth road (12% increase)?

Select the smaller of the two given numbers. --119, 17

Express the rational number as a terminating or repeating decimal number. - $\frac { 1 } { 5 }$

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

Some rational numbers are integers.

Write the decimal as a fraction in lowest terms. - 0.00040.00040.0004

Simplify and evaluate using a calculator. - 76\frac { 7 } { \sqrt { 6 } }6​7​

Use an integer to express the number. -On a cloudy day, the water temperature in the swimming pool drops 4 degrees.

Decide if the number is rational or irrational. - 0.148‾0 . \overline { 148 }0.148

Since 10 can be written as 101, is 10 a rational number? Explain. \text { Since } \sqrt { 10 } \text { can be written as } \frac { \sqrt { 10 } } { 1 } , \text { is } \sqrt { 10 } \text { a rational number? Explain. } Since 10​ can be written as 110​​, is 10​ a rational number? Explain.

Perform the indicated operations. --2(9 - 4 + 3)

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer films in a school of 300 students?

What percent of 103 is 14.32?

Evaluate the expression. - −[−(−5)]2- [ - ( - 5 ) ] ^ { 2 }−[−(−5)]2

Perform the indicated operations. - 85−6208 \sqrt { 5 } - 6 \sqrt { 20 }85​−620​

Perform the operation and reduce the answer to lowest terms. - 21928⋅24192 \frac { 19 } { 28 } \cdot 2 \frac { 4 } { 19 }22819​⋅2194​

Use an integer to express the number. -A football team gained 3 yards on one play.

Decide if the number is rational or irrational. - 8+53\frac { 8 + \sqrt { 5 } } { 3 }38+5​​

Perform the operation and reduce the answer to lowest terms. - 813−1388 \frac { 1 } { 3 } - 1 \frac { 3 } { 8 }831​−183​

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

Solve the problem. -The normal gasoline mileage of a car is 22 mpg. What is its mileage on a smooth road (12% increase)?

Select the smaller of the two given numbers. --119, 17

Express the rational number as a terminating or repeating decimal number. - 15\frac { 1 } { 5 }51​

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

Write the decimal as a fraction in lowest terms. - $0.0004$

Simplify and evaluate using a calculator. - $\frac { 7 } { \sqrt { 6 } }$

Decide if the number is rational or irrational. - $0 . \overline { 148 }$

$\text { Since } \sqrt { 10 } \text { can be written as } \frac { \sqrt { 10 } } { 1 } , \text { is } \sqrt { 10 } \text { a rational number? Explain. }$

Evaluate the expression. - $- [ - ( - 5 ) ] ^ { 2 }$

Perform the indicated operations. - $8 \sqrt { 5 } - 6 \sqrt { 20 }$

Perform the operation and reduce the answer to lowest terms. - $2 \frac { 19 } { 28 } \cdot 2 \frac { 4 } { 19 }$

Decide if the number is rational or irrational. - $\frac { 8 + \sqrt { 5 } } { 3 }$

Perform the operation and reduce the answer to lowest terms. - $8 \frac { 1 } { 3 } - 1 \frac { 3 } { 8 }$

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

Express the rational number as a terminating or repeating decimal number. - $\frac { 1 } { 5 }$