Question 1

Simplify the fraction. $\frac { 28 } { 256 }$

Accepted Answer

A)  $\frac { 64 } { 7 }$ 
B)  $\frac { 1 } { 64 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 7 } { 64 }$ 
E)  $\text { undefined }$ 
A)  $\frac { 64 } { 7 }$ 
B)  $\frac { 1 } { 64 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 7 } { 64 }$ 
E)  $\text { undefined }$

Question 2

Evaluate the expression. $3 + 4 ( 5 + 4 ) - 3 - 4 ( 3 + 4 )$

Accepted Answer

The answer of Evaluate the expression. \(3 + 4 (...

Question 3

Change the percent to a decimal. $7 \frac { 1 } { 4 } \%$

Accepted Answer

The answer of Change the percent to a decimal. \(7...

Question 4

Round the number to two significant digits. 54,662

Accepted Answer

A)  54,700 
B)  56 
C)  55 
D)  54,000 
E)  55,000 
A)  54,700 
B)  56 
C)  55 
D)  54,000 
E)  55,000

Question 5

Evaluate the expression. $10 + 4 ( 7 + 8 ) - 1$

Accepted Answer

A)  69 
B)  45 
C)  66 
D)  28 
E)  209 
A)  69 
B)  45 
C)  66 
D)  28 
E)  209

Question 6

Each cut on a lathe is 0.018 in. deep. How many cuts would be needed to turn down 8.538 in. stock to 8.250 in.?

Accepted Answer

A)  17 
B)  14 
C)  11 
D)  13 
E)  16 
A)  17 
B)  14 
C)  11 
D)  13 
E)  16

Question 7

A welder has two pieces of half-inch pipe, one of length $8 \frac { 3 } { 8 }$ ft and another of length $9 \frac { 7 } { 8 }$ ft. What is the total length of the two welded together?

Accepted Answer

A)  $19 \frac { 1 } { 2 }$ ft 
B)  $18 \frac { 5 } { 8 }$ ft 
C)  $18 \frac { 2 } { 3 }$ ft 
D)  $18 \frac { 1 } { 4 }$ ft 
E)  $19 \frac { 1 } { 4 }$ ft 
A)  $19 \frac { 1 } { 2 }$ ft 
B)  $18 \frac { 5 } { 8 }$ ft 
C)  $18 \frac { 2 } { 3 }$ ft 
D)  $18 \frac { 1 } { 4 }$ ft 
E)  $19 \frac { 1 } { 4 }$ ft

Question 8

Two draftpersons operating the same computer plotter work $9$ hours each, on a day and night shift basis. One produces $80$ drawings per hour; the other produces $110$ drawings per hour. What is the difference in their outputs after $25$ days?

Accepted Answer

A)  6,750 
B)  18,000 
C)  750 
D)  42,750 
E)  528 
A)  6,750 
B)  18,000 
C)  750 
D)  42,750 
E)  528

Question 9

Test the divisibility of the first number by the second number. $40$ ; $2$

Accepted Answer

A)  Not divisible 
B)  Divisible 
A)  Not divisible 
B)  Divisible

Question 10

Find the length of a cylinder L given by the following equation, where c is a constant, d is the diameter of the cylinder, and V is the volume of the cylinder. $L = \frac { V } { c d ^ { 2 } }$ Let V = $47$   $\text { inches } { } ^ { 3 }$ , c = $0.781$ inches, and d = $2.66$ inches.

Accepted Answer

A)  L = 9.7352 inches 
B)  L = 204.9639 inches 
C)  L = 8.5052 inches 
D)  L = 160.0768 inches 
E)  L = 6.0852 inches 
A)  L = 9.7352 inches 
B)  L = 204.9639 inches 
C)  L = 8.5052 inches 
D)  L = 160.0768 inches 
E)  L = 6.0852 inches

Question 11

Change the mixed number to an improper fraction. $9 \frac { 1 } { 3 }$

Accepted Answer

A)  $\frac { 31 } { 3 }$ 
B)  $\frac { 30 } { 3 }$ 
C)  $\frac { 36 } { 3 }$ 
D)  $\frac { 28 } { 3 }$ 
E)  $\frac { 19 } { 3 }$ 
A)  $\frac { 31 } { 3 }$ 
B)  $\frac { 30 } { 3 }$ 
C)  $\frac { 36 } { 3 }$ 
D)  $\frac { 28 } { 3 }$ 
E)  $\frac { 19 } { 3 }$

Question 12

Round the number to four significant digits. 9,839,274

Accepted Answer

A)  9,839,300 
B)  9,849,000 
C)  9,838,000 
D)  9,840,000 
E)  9,839,000 
A)  9,839,300 
B)  9,849,000 
C)  9,838,000 
D)  9,840,000 
E)  9,839,000

Question 13

The standard width of a new piston ring is 0.1671 in. If a used ring measures 0.1622 in., how much has it worn?

Accepted Answer

A)  0.0004 in. 
B)  0.0049 in. 
C)  0.0122 in. 
D)  0.0038 in. 
E)  0.017 in. 
A)  0.0004 in. 
B)  0.0049 in. 
C)  0.0122 in. 
D)  0.0038 in. 
E)  0.017 in.

Question 14

To give 1 grain of digitalis from $1 \frac { 1 } { 2 }$ grain tablets, how many tablets should be given?

Accepted Answer

The answer of To give 1 grain of digitalis from...

Question 15

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $8$ meters, and h = $6$ meters.

Accepted Answer

A)  Area = 50.0 m 2 
B)  Area = 44.0 m 2 
C)  Area = 28.0 m 2 
D)  Area = 24.0 m 2 
E)  Area = 48.0 m 2 
A)  Area = 50.0 m 2 
B)  Area = 44.0 m 2 
C)  Area = 28.0 m 2 
D)  Area = 24.0 m 2 
E)  Area = 48.0 m 2

Question 16

Change the mixed number to an improper fraction. $2 \frac { 1 } { 2 }$

Accepted Answer

The answer of Change the mixed number to an improper...

Question 17

Find the area of the figure.

Accepted Answer

A)  2,500 cm 2 
B)  6,400 cm 2 
C)  5,500 cm 2 
D)  5,950 cm 2 
E)  1,600 cm 2 
A)  2,500 cm 2 
B)  6,400 cm 2 
C)  5,500 cm 2 
D)  5,950 cm 2 
E)  1,600 cm 2

Question 18

A farmer wishes to wire a shed that is $1$ mi. from the electricity source in his barn. He uses No.0 - gauge copper wire, which has a resistance of $\frac { 1 } { 10 }$ ohm $( \Omega )$ per 1,000 ft. What is the resistance for the $1$ mi of wire?

Accepted Answer

A)  0.66 
B)  0.528 
C)  2 
D)  0.193 
E)  0.806 
A)  0.66 
B)  0.528 
C)  2 
D)  0.193 
E)  0.806

Question 19

A steel rod $45$ inches long has twelve pieces cut to the following lengths:
3 pieces, $2 \frac { 1 } { 8 }$ inches in length
2 pieces, $5 \frac { 3 } { 4 }$ inches in length
6 pieces, $\frac { 7 } { 8 }$ inches in length
1 piece, $3 \frac { 1 } { 2 }$ inches in length
Assume $\frac { 1 } { 16 }$ of an inch is wasted with each cut. Find the length of the remaining rod.

Accepted Answer

The answer of A steel rod $45$ inches long has...

Question 20

Find the sum. $67 + 6.4 + 18.08 + 170.077$

Accepted Answer

The answer of Find the sum. \(67 + 6.4 +...

Simplify the fraction. $\frac { 28 } { 256 }$

Evaluate the expression. $3 + 4 ( 5 + 4 ) - 3 - 4 ( 3 + 4 )$

Change the percent to a decimal. $7 \frac { 1 } { 4 } \%$

Round the number to two significant digits. 54,662

Evaluate the expression. $10 + 4 ( 7 + 8 ) - 1$

Each cut on a lathe is 0.018 in. deep. How many cuts would be needed to turn down 8.538 in. stock to 8.250 in.?

A welder has two pieces of half-inch pipe, one of length $8 \frac { 3 } { 8 }$ ft and another of length $9 \frac { 7 } { 8 }$ ft. What is the total length of the two welded together?

Two draftpersons operating the same computer plotter work $9$ hours each, on a day and night shift basis. One produces $80$ drawings per hour; the other produces $110$ drawings per hour. What is the difference in their outputs after $25$ days?

Test the divisibility of the first number by the second number. $40$ ; $2$

Find the length of a cylinder L given by the following equation, where c is a constant, d is the diameter of the cylinder, and V is the volume of the cylinder. $L = \frac { V } { c d ^ { 2 } }$ Let V = $47$ $\text { inches } { } ^ { 3 }$ , c = $0.781$ inches, and d = $2.66$ inches.

Change the mixed number to an improper fraction. $9 \frac { 1 } { 3 }$

Round the number to four significant digits. 9,839,274

The standard width of a new piston ring is 0.1671 in. If a used ring measures 0.1622 in., how much has it worn?

To give 1 grain of digitalis from $1 \frac { 1 } { 2 }$ grain tablets, how many tablets should be given?

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $8$ meters, and h = $6$ meters.

Change the mixed number to an improper fraction. $2 \frac { 1 } { 2 }$

Find the area of the figure.

A farmer wishes to wire a shed that is $1$ mi. from the electricity source in his barn. He uses No.0 - gauge copper wire, which has a resistance of $\frac { 1 } { 10 }$ ohm $( \Omega )$ per 1,000 ft. What is the resistance for the $1$ mi of wire?

Find the sum. $67 + 6.4 + 18.08 + 170.077$

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 1: Basic Concepts

Simplify the fraction. 28256\frac { 28 } { 256 }25628​

Evaluate the expression. 3+4(5+4)−3−4(3+4)3 + 4 ( 5 + 4 ) - 3 - 4 ( 3 + 4 )3+4(5+4)−3−4(3+4)

Change the percent to a decimal. 714%7 \frac { 1 } { 4 } \%741​%

Round the number to two significant digits. 54,662

Evaluate the expression. 10+4(7+8)−110 + 4 ( 7 + 8 ) - 110+4(7+8)−1

Each cut on a lathe is 0.018 in. deep. How many cuts would be needed to turn down 8.538 in. stock to 8.250 in.?

A welder has two pieces of half-inch pipe, one of length 8388 \frac { 3 } { 8 }883​ ft and another of length 9789 \frac { 7 } { 8 }987​ ft. What is the total length of the two welded together?

Two draftpersons operating the same computer plotter work 999 hours each, on a day and night shift basis. One produces 808080 drawings per hour; the other produces 110110110 drawings per hour. What is the difference in their outputs after 252525 days?

Test the divisibility of the first number by the second number. 404040 ; 222

Change the mixed number to an improper fraction. 9139 \frac { 1 } { 3 }931​

Round the number to four significant digits. 9,839,274

The standard width of a new piston ring is 0.1671 in. If a used ring measures 0.1622 in., how much has it worn?

To give 1 grain of digitalis from 1121 \frac { 1 } { 2 }121​ grain tablets, how many tablets should be given?

Find the area of the of a rectangle where the base is b, and the height is h. Let b = 888 meters, and h = 666 meters.

Change the mixed number to an improper fraction. 2122 \frac { 1 } { 2 }221​

Find the area of the figure.

A farmer wishes to wire a shed that is 111 mi. from the electricity source in his barn. He uses No.0 - gauge copper wire, which has a resistance of 110\frac { 1 } { 10 }101​ ohm (Ω)( \Omega )(Ω) per 1,000 ft. What is the resistance for the 111 mi of wire?

Find the sum. 67+6.4+18.08+170.07767 + 6.4 + 18.08 + 170.07767+6.4+18.08+170.077

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Simplify the fraction. $\frac { 28 } { 256 }$

Evaluate the expression. $3 + 4 ( 5 + 4 ) - 3 - 4 ( 3 + 4 )$

Change the percent to a decimal. $7 \frac { 1 } { 4 } \%$

Evaluate the expression. $10 + 4 ( 7 + 8 ) - 1$

A welder has two pieces of half-inch pipe, one of length $8 \frac { 3 } { 8 }$ ft and another of length $9 \frac { 7 } { 8 }$ ft. What is the total length of the two welded together?

Two draftpersons operating the same computer plotter work $9$ hours each, on a day and night shift basis. One produces $80$ drawings per hour; the other produces $110$ drawings per hour. What is the difference in their outputs after $25$ days?

Test the divisibility of the first number by the second number. $40$ ; $2$

Change the mixed number to an improper fraction. $9 \frac { 1 } { 3 }$

To give 1 grain of digitalis from $1 \frac { 1 } { 2 }$ grain tablets, how many tablets should be given?

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $8$ meters, and h = $6$ meters.

Change the mixed number to an improper fraction. $2 \frac { 1 } { 2 }$

A farmer wishes to wire a shed that is $1$ mi. from the electricity source in his barn. He uses No.0 - gauge copper wire, which has a resistance of $\frac { 1 } { 10 }$ ohm $( \Omega )$ per 1,000 ft. What is the resistance for the $1$ mi of wire?

Find the sum. $67 + 6.4 + 18.08 + 170.077$