Question 1

Perform the indicated operation.
-58 + (-50)

Accepted Answer

A) -108 
B) 108 
C) -8 
D) 8 
A) -108 
B) 108 
C) -8 
D) 8

Question 2

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

Accepted Answer

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

Question 3

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number.
-$\frac { 13 } { 3 }$

Accepted Answer

A)  $3 \frac { 1 } { 3 }$ 
B)  5 
C)  $4 \frac { 1 } { 3 }$ 
D)  $5 \frac { 1 } { 3 }$ 
A)  $3 \frac { 1 } { 3 }$ 
B)  5 
C)  $4 \frac { 1 } { 3 }$ 
D)  $5 \frac { 1 } { 3 }$

Question 4

Solve the problem.
-A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 8 inches wide. When it is trimmed, it is $7 \frac { 11 } { 16 }$ inches wide. How much width was trimmed off?

Accepted Answer

A)  $\frac { 5 } { 16 }$ inch 
B)  $\frac { 11 } { 16 }$ inch 
C)  $\frac { 123 } { 16 }$ inches 
D)  $8 \frac { 5 } { 16 }$ inches 
A)  $\frac { 5 } { 16 }$ inch 
B)  $\frac { 11 } { 16 }$ inch 
C)  $\frac { 123 } { 16 }$ inches 
D)  $8 \frac { 5 } { 16 }$ inches

Question 5

Give the opposite and then the absolute value of the number.
-8 - 1

Accepted Answer

A) 7, 7 
B) -7, 7 
C) -7, -7 
D) 7, -7 
A) 7, 7 
B) -7, 7 
C) -7, -7 
D) 7, -7

Question 6

Perform the indicated operations.
-2 - (10 - 8 ·72)

Accepted Answer

A) -400 
B) -380 
C) 384 
D) 3128 
A) -400 
B) -380 
C) 384 
D) 3128

Question 7

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number.
-$13 \frac { 1 } { 3 }$

Accepted Answer

A)  $\frac { 16 } { 3 }$ 
B)  $\frac { 14 } { 3 }$ 
C)  $\frac { 40 } { 3 }$ 
D)  $\frac { 41 } { 3 }$ 
A)  $\frac { 16 } { 3 }$ 
B)  $\frac { 14 } { 3 }$ 
C)  $\frac { 40 } { 3 }$ 
D)  $\frac { 41 } { 3 }$

Question 8

Choose the expression that is equivalent to the given rational number.
-$\frac { 5 } { 6 }$

Accepted Answer

A)  $0.8 \overline { 3 }$ 
B)  $1 \frac { 1 } { 6 }$ 
C)  $0 . \overline { 83 }$ 
D)  $\frac { 20 } { 25 }$ 
A)  $0.8 \overline { 3 }$ 
B)  $1 \frac { 1 } { 6 }$ 
C)  $0 . \overline { 83 }$ 
D)  $\frac { 20 } { 25 }$

Question 9

Solve the problem.
-The stock market gained 24 points on Tuesday and lost 11 points on Wednesday. It had closed on Monday at 2545 points. Where did the market close on Wednesday?

Accepted Answer

A) 2510 points 
B) 2580 points 
C) 2532 points 
D) 2558 points 
A) 2510 points 
B) 2580 points 
C) 2532 points 
D) 2558 points

Question 10

Solve the problem.
-Frank's Furniture employees earned $366.90, $463.69, $162.08, $460.63, $179.72, and $265.91 last week. Find the average wage of the employees. Round your answer to the nearest cent.

Accepted Answer

A) $474.73 
B) $379.79 
C) $367.79 
D) $316.49 
A) $474.73 
B) $379.79 
C) $367.79 
D) $316.49

Question 11

Solve the problem.
-A tank contains $2 \frac { 1 } { 6 }$ gallons of water. Its capacity is $4 \frac { 1 } { 4 }$ gallons. How much more water is needed to fill it?

Accepted Answer

A)  $\frac { 1 } { 6 }$ gallon(s) 
B)  5 gallon(s) 
C)  $2 \frac { 1 } { 12 }$ gallon(s) 
D)  $\frac { 2 } { 5 }$ gallon(s) 
A)  $\frac { 1 } { 6 }$ gallon(s) 
B)  5 gallon(s) 
C)  $2 \frac { 1 } { 12 }$ gallon(s) 
D)  $\frac { 2 } { 5 }$ gallon(s)

Question 12

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

Accepted Answer

A) 1.737 
B) 1.732 
C) 3.000 
D) 1.729 
A) 1.737 
B) 1.732 
C) 3.000 
D) 1.729

Question 13

Express the rational number as a terminating or repeating decimal number.
-$\frac { 15 } { 25 }$

Accepted Answer

A)  $0.52$ 
B)  $0.4$ 
C)  $0.66$ 
D)  $0.6$ 
A)  $0.52$ 
B)  $0.4$ 
C)  $0.66$ 
D)  $0.6$

Question 14

Perform the operation.
-2.8 + 4.6

Accepted Answer

A) 1.8 
B) 7.4 
C) -1.8 
D) 7.5 
A) 1.8 
B) 7.4 
C) -1.8 
D) 7.5

Question 15

Write as a percent.
-0.742

Accepted Answer

A) 742% 
B) 0.742% 
C) 74.2% 
D) 0.0742% 
A) 742% 
B) 0.742% 
C) 74.2% 
D) 0.0742%

Question 16

The absolute value of any nonzero number is positive.

Accepted Answer

A) True 
 B)False

Question 17

Solve the problem.
- 
Three boards are used as shelves in a bookcase. Each one is $1 \frac { 1 } { 2 }$ inches thick and the shelves are evenly spaced. If the height, $h$, of the bookcase is 30 inches, how much space is between each shelf?

Accepted Answer

A)  15 inches 
B)  $12 \frac { 3 } { 4 }$ inches 
C)  9 inches 
D)  10 inches 
A)  15 inches 
B)  $12 \frac { 3 } { 4 }$ inches 
C)  9 inches 
D)  10 inches

Question 18

Give the opposite and then the absolute value of the number.
--11

Accepted Answer

A) 0, 11 
B) -11, -11 
C) -11, 11 
D) 11, 11 
A) 0, 11 
B) -11, -11 
C) -11, 11 
D) 11, 11

Question 19

Write as a real number or a product of a real number and i.
-$5 + \sqrt { - 36 }$

Accepted Answer

A)  $5 + 6 \mathrm { i }$ 
B)  $- 1$ 
C)  $5 + \mathrm { i }$ 
D)  $5 - 6 \mathrm { i }$ 
A)  $5 + 6 \mathrm { i }$ 
B)  $- 1$ 
C)  $5 + \mathrm { i }$ 
D)  $5 - 6 \mathrm { i }$

Question 20

Use the graph to answer the question.  
-What were the total sales for 2000?

Accepted Answer

A) $50,000 
B) $48,000 
C) $764,000 
D) $582,000 
A) $50,000 
B) $48,000 
C) $764,000 
D) $582,000

Perform the indicated operation. -58 + (-50)

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

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $\frac { 13 } { 3 }$

Solve the problem. -A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 8 inches wide. When it is trimmed, it is $7 \frac { 11 } { 16 }$ inches wide. How much width was trimmed off?

Give the opposite and then the absolute value of the number. -8 - 1

Perform the indicated operations. -2 - (10 - 8 ·72)

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $13 \frac { 1 } { 3 }$

Choose the expression that is equivalent to the given rational number. - $\frac { 5 } { 6 }$

Solve the problem. -The stock market gained 24 points on Tuesday and lost 11 points on Wednesday. It had closed on Monday at 2545 points. Where did the market close on Wednesday?

Solve the problem. -Frank's Furniture employees earned $366.90, $463.69, $162.08, $460.63, $179.72, and $265.91 last week. Find the average wage of the employees. Round your answer to the nearest cent.

Solve the problem. -A tank contains $2 \frac { 1 } { 6 }$ gallons of water. Its capacity is $4 \frac { 1 } { 4 }$ gallons. How much more water is needed to fill it?

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

Express the rational number as a terminating or repeating decimal number. - $\frac { 15 } { 25 }$

Perform the operation. -2.8 + 4.6

Write as a percent. -0.742

The absolute value of any nonzero number is positive.

Give the opposite and then the absolute value of the number. --11

Write as a real number or a product of a real number and i. - $5 + \sqrt { - 36 }$

Use the graph to answer the question. -What were the total sales for 2000?

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 indicated operation. -58 + (-50)

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

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - 133\frac { 13 } { 3 }313​

Solve the problem. -A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 8 inches wide. When it is trimmed, it is 711167 \frac { 11 } { 16 }71611​ inches wide. How much width was trimmed off?

Give the opposite and then the absolute value of the number. -8 - 1

Perform the indicated operations. -2 - (10 - 8 ·72)

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - 131313 \frac { 1 } { 3 }1331​

Choose the expression that is equivalent to the given rational number. - 56\frac { 5 } { 6 }65​

Solve the problem. -The stock market gained 24 points on Tuesday and lost 11 points on Wednesday. It had closed on Monday at 2545 points. Where did the market close on Wednesday?

Solve the problem. -Frank's Furniture employees earned $366.90, $463.69, $162.08, $460.63, $179.72, and $265.91 last week. Find the average wage of the employees. Round your answer to the nearest cent.

Solve the problem. -A tank contains 2162 \frac { 1 } { 6 }261​ gallons of water. Its capacity is 4144 \frac { 1 } { 4 }441​ gallons. How much more water is needed to fill it?

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

Express the rational number as a terminating or repeating decimal number. - 1525\frac { 15 } { 25 }2515​

Perform the operation. -2.8 + 4.6

Write as a percent. -0.742

The absolute value of any nonzero number is positive.

Solve the problem. - Three boards are used as shelves in a bookcase. Each one is 1121 \frac { 1 } { 2 }121​ inches thick and the shelves are evenly spaced. If the height, hhh , of the bookcase is 30 inches, how much space is between each shelf?

Give the opposite and then the absolute value of the number. --11

Write as a real number or a product of a real number and i. - 5+−365 + \sqrt { - 36 }5+−36​

Use the graph to answer the question. -What were the total sales for 2000?

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

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $\frac { 13 } { 3 }$

Solve the problem. -A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 8 inches wide. When it is trimmed, it is $7 \frac { 11 } { 16 }$ inches wide. How much width was trimmed off?

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $13 \frac { 1 } { 3 }$

Choose the expression that is equivalent to the given rational number. - $\frac { 5 } { 6 }$

Solve the problem. -A tank contains $2 \frac { 1 } { 6 }$ gallons of water. Its capacity is $4 \frac { 1 } { 4 }$ gallons. How much more water is needed to fill it?

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

Express the rational number as a terminating or repeating decimal number. - $\frac { 15 } { 25 }$

Write as a real number or a product of a real number and i. - $5 + \sqrt { - 36 }$