Question 1

Choose the expression that is equivalent to the given rational number.
-$\frac { 3 } { 8 }$

Accepted Answer

A)  $\frac { 8 } { 3 }$ 
B)  $\frac { 9 } { 25 }$ 
C)  $0 . \overline { 375 }$ 
D)  $0.375$ 
A)  $\frac { 8 } { 3 }$ 
B)  $\frac { 9 } { 25 }$ 
C)  $0 . \overline { 375 }$ 
D)  $0.375$

Question 2

Write the fraction in lowest terms.
-$\frac { 8 } { 12 }$

Accepted Answer

A)  $\frac { 11 } { 7 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 9 } { 13 }$ 
A)  $\frac { 11 } { 7 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 9 } { 13 }$

Question 3

Find 150% of 346 .

Accepted Answer

A) 51,900.00 
B) 5190.00 
C) 519.00 
D) 51.90 
A) 51,900.00 
B) 5190.00 
C) 519.00 
D) 51.90

Question 4

Decide if the statement is true or false.
-$| 10 - 9 | \geq | 8 - 2 |$

Accepted Answer

A) True 
 B)False

Question 5

Perform the operation.
-134.9 × 0.65

Accepted Answer

A) 87.795 
B) 87.785 
C) 87.796 
D) 87.685 
A) 87.795 
B) 87.785 
C) 87.796 
D) 87.685

Question 6

Solve the problem.
-

Using the chart above, (I) how many cups of milk would be needed for 4 microwave servings? (II) How many tablespoons of butter would be needed for 4 stove top servings? (Hint: Use the fact that 4 is halfway between 3 and 5)

Accepted Answer

A)  5 cups; $\frac { 5 } { 8 }$ Tbsp 
B)  $5 \frac { 1 } { 2 }$ cups; $\frac { 3 } { 8 }$ Tbsp 
C)  $2 \frac { 1 } { 2 }$ cups; $\frac { 1 } { 8 }$ Tbsp 
D)  $1 \frac { 7 } { 8 }$ cups; $\frac { 3 } { 4 }$ Tbsp 
A)  5 cups; $\frac { 5 } { 8 }$ Tbsp 
B)  $5 \frac { 1 } { 2 }$ cups; $\frac { 3 } { 8 }$ Tbsp 
C)  $2 \frac { 1 } { 2 }$ cups; $\frac { 1 } { 8 }$ Tbsp 
D)  $1 \frac { 7 } { 8 }$ cups; $\frac { 3 } { 4 }$ Tbsp

Question 7

Write as a real number or a product of a real number and i.
-$\sqrt { - 17 }$

Accepted Answer

A)  $4 \mathrm { i }$ 
B)  $\mathrm { i }$ 
C)  $\mathrm { i } \sqrt { - 17 }$ 
D)  $i \sqrt { 17 }$ 
A)  $4 \mathrm { i }$ 
B)  $\mathrm { i }$ 
C)  $\mathrm { i } \sqrt { - 17 }$ 
D)  $i \sqrt { 17 }$

Question 8

Express the rational number as a terminating or repeating decimal number.
-$\frac { 1 } { 16 }$

Accepted Answer

A)  $- 0.0375$ 
B)  $0.063$ 
C)  $0.0725$ 
D)  $0.0625$ 
A)  $- 0.0375$ 
B)  $0.063$ 
C)  $0.0725$ 
D)  $0.0625$

Question 9

Graph the numbers on a number line.
--6, -4, -2, 0

Accepted Answer

A) 
  
B)

C) 
  
D) 
  
A) 
  
B)

C) 
  
D)

Question 10

Write as a real number or a product of a real number and i.
-$- \sqrt { - 16 }$

Accepted Answer

A)  $i$ 
B)  $- 4 i$ 
C)  4 
D)  $4 \mathrm { i }$ 
A)  $i$ 
B)  $- 4 i$ 
C)  4 
D)  $4 \mathrm { i }$

Question 11

Use an integer to express the number.
-The stock market lost 46 points on Monday.

Accepted Answer

A) 46 
B) -46 
A) 46 
B) -46

Question 12

Write the decimal as a fraction in lowest terms.
-$0.016$

Accepted Answer

A)  $\frac { 1 } { 125 }$ 
B)  $\frac { 2 } { 125 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 4 } { 125 }$ 
A)  $\frac { 1 } { 125 }$ 
B)  $\frac { 2 } { 125 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 4 } { 125 }$

Question 13

Solve the problem.
-The following table contains information about moons orbiting a planet named Geo I. Use the table to solve the problem. $$\begin{array} { c | r | r | r } 
\text { Moon } & \begin{array} { r | r | } 
\text { Average Distance }
\end{array} & \begin{array} { r } 
\text { Time of Revolution in } \
\text { from Geo I (in km) }
\end{array} & \text { Diameter (in km) } \
\text { Earth Time (in years) } \
\hline \text { Luna 1 } & 3000 & 412 & 0.75 \
\text { Luna 2 } & 3900 & 2169 & 2.31 \
\text { Luna 3 } & 90,000 & 311 & 4.08 \
\text { Luna 4 } & 129,600 & 723 & 43.83 \
\text { Luna 5 } & 297,000 & 1135 & 112.86
\end{array}$$ What is the average diameter of the moons? Round your answer to the nearest kilometer.

Accepted Answer

A) 950 km 
B) 723 km 
C) 311 km 
D) 517 km 
A) 950 km 
B) 723 km 
C) 311 km 
D) 517 km

Question 14

Perform the operation and give the answer as a fraction in lowest terms.
-$\frac { 9 } { 4 } \div \left( - \frac { 8 } { 7 } \div \frac { 1 } { 5 } \right)$

Accepted Answer

A)  $\frac { 18 } { 35 }$ 
B)  $\frac { 8 } { 35 }$ 
C)  $- \frac { 40 } { 7 }$ 
D)  $- \frac { 63 } { 160 }$ 
A)  $\frac { 18 } { 35 }$ 
B)  $\frac { 8 } { 35 }$ 
C)  $- \frac { 40 } { 7 }$ 
D)  $- \frac { 63 } { 160 }$

Question 15

Solve the problem. Round to the nearest hundredth.
-51 is 30% of what number?

Accepted Answer

A) 17.00 
B) 15.30 
C) 170.00 
D) 1700.00 
A) 17.00 
B) 15.30 
C) 170.00 
D) 1700.00

Question 16

Find the power of i.
-$\mathrm { i } ^ { 9 }$

Accepted Answer

A)  1 
B)  $- \mathrm { i }$ 
C)  $\mathrm { i }$ 
D)  $- 1$ 
A)  1 
B)  $- \mathrm { i }$ 
C)  $\mathrm { i }$ 
D)  $- 1$

Question 17

Decide if the number is rational or irrational.
-$\pi$

Accepted Answer

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

Question 18

Solve the problem.
-A typesetter can keyboard 266 words in 3.6 minutes. How many words per minute can he set? Round to the nearest tenth.

Accepted Answer

A)  $957.6$ words/min 
B)  $262.4$ words $/ \mathrm { min }$ 
C)  $269.6$ words/min 
D)  $73.9$ words $/ \mathrm { min }$ 
A)  $957.6$ words/min 
B)  $262.4$ words $/ \mathrm { min }$ 
C)  $269.6$ words/min 
D)  $73.9$ words $/ \mathrm { min }$

Question 19

Use the information in the table to answer the question.
-  For which category is the sum of the changes in 2005 and 2006 equal to zero?

Accepted Answer

A) Supplies 
B) Postage 
C) Decorations 
D) Publicity 
A) Supplies 
B) Postage 
C) Decorations 
D) Publicity

Question 20

Solve the problem.
-Midtown Antiques collects 5% sales tax on all sales. If total sales including tax are $1248.70, find the portion that is the tax amount.

Accepted Answer

A) $62.44 
B) $1189.24 
C) $59.46 
D) $49.46 
A) $62.44 
B) $1189.24 
C) $59.46 
D) $49.46

Choose the expression that is equivalent to the given rational number. - $\frac { 3 } { 8 }$

Write the fraction in lowest terms. - $\frac { 8 } { 12 }$

Find 150% of 346 .

Decide if the statement is true or false. - $| 10 - 9 | \geq | 8 - 2 |$

Perform the operation. -134.9 × 0.65

Solve the problem. - Using the chart above, (I) how many cups of milk would be needed for 4 microwave servings? (II) How many tablespoons of butter would be needed for 4 stove top servings? (Hint: Use the fact that 4 is halfway between 3 and 5)

Write as a real number or a product of a real number and i. - $\sqrt { - 17 }$

Express the rational number as a terminating or repeating decimal number. - $\frac { 1 } { 16 }$

Graph the numbers on a number line. --6, -4, -2, 0

Write as a real number or a product of a real number and i. - $- \sqrt { - 16 }$

Use an integer to express the number. -The stock market lost 46 points on Monday.

Write the decimal as a fraction in lowest terms. - $0.016$

Perform the operation and give the answer as a fraction in lowest terms. - $\frac { 9 } { 4 } \div \left( - \frac { 8 } { 7 } \div \frac { 1 } { 5 } \right)$

Solve the problem. Round to the nearest hundredth. -51 is 30% of what number?

Find the power of i. - $\mathrm { i } ^ { 9 }$

Decide if the number is rational or irrational. - $\pi$

Solve the problem. -A typesetter can keyboard 266 words in 3.6 minutes. How many words per minute can he set? Round to the nearest tenth.

Use the information in the table to answer the question. - For which category is the sum of the changes in 2005 and 2006 equal to zero?

Solve the problem. -Midtown Antiques collects 5% sales tax on all sales. If total sales including tax are $1248.70, find the portion that is the tax amount.

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

Choose the expression that is equivalent to the given rational number. - 38\frac { 3 } { 8 }83​

Write the fraction in lowest terms. - 812\frac { 8 } { 12 }128​

Find 150% of 346 .

Decide if the statement is true or false. - ∣10−9∣≥∣8−2∣| 10 - 9 | \geq | 8 - 2 |∣10−9∣≥∣8−2∣

Perform the operation. -134.9 × 0.65

Solve the problem. - Using the chart above, (I) how many cups of milk would be needed for 4 microwave servings? (II) How many tablespoons of butter would be needed for 4 stove top servings? (Hint: Use the fact that 4 is halfway between 3 and 5)

Write as a real number or a product of a real number and i. - −17\sqrt { - 17 }−17​

Express the rational number as a terminating or repeating decimal number. - 116\frac { 1 } { 16 }161​

Graph the numbers on a number line. --6, -4, -2, 0

Write as a real number or a product of a real number and i. - −−16- \sqrt { - 16 }−−16​

Use an integer to express the number. -The stock market lost 46 points on Monday.

Write the decimal as a fraction in lowest terms. - 0.0160.0160.016

Perform the operation and give the answer as a fraction in lowest terms. - 94÷(−87÷15)\frac { 9 } { 4 } \div \left( - \frac { 8 } { 7 } \div \frac { 1 } { 5 } \right)49​÷(−78​÷51​)

Solve the problem. Round to the nearest hundredth. -51 is 30% of what number?

Find the power of i. - i9\mathrm { i } ^ { 9 }i9

Decide if the number is rational or irrational. - π\piπ

Solve the problem. -A typesetter can keyboard 266 words in 3.6 minutes. How many words per minute can he set? Round to the nearest tenth.

Use the information in the table to answer the question. - For which category is the sum of the changes in 2005 and 2006 equal to zero?

Solve the problem. -Midtown Antiques collects 5% sales tax on all sales. If total sales including tax are $1248.70, find the portion that is the tax amount.

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

Choose the expression that is equivalent to the given rational number. - $\frac { 3 } { 8 }$

Write the fraction in lowest terms. - $\frac { 8 } { 12 }$

Decide if the statement is true or false. - $| 10 - 9 | \geq | 8 - 2 |$

Write as a real number or a product of a real number and i. - $\sqrt { - 17 }$

Express the rational number as a terminating or repeating decimal number. - $\frac { 1 } { 16 }$

Write as a real number or a product of a real number and i. - $- \sqrt { - 16 }$

Write the decimal as a fraction in lowest terms. - $0.016$

Perform the operation and give the answer as a fraction in lowest terms. - $\frac { 9 } { 4 } \div \left( - \frac { 8 } { 7 } \div \frac { 1 } { 5 } \right)$

Find the power of i. - $\mathrm { i } ^ { 9 }$

Decide if the number is rational or irrational. - $\pi$