Question 1

The ratio of the voltage drops across two resistors wired in series equals the ratio of their resistances. Find the ratio of a 690- ? resistor to a 300- ? resistor.

Accepted Answer

A)  $\frac { 25 } { 3 }$ 
B)  $\frac { 27300 } { 14300 }$ 
C)  $\frac { 23 } { 10 }$ 
D)  $\frac { 21300 } { 8300 }$ 
E)  $\frac { 17300 } { 16300 }$ 
A)  $\frac { 25 } { 3 }$ 
B)  $\frac { 27300 } { 14300 }$ 
C)  $\frac { 23 } { 10 }$ 
D)  $\frac { 21300 } { 8300 }$ 
E)  $\frac { 17300 } { 16300 }$ C

Question 2

Use the scale drawing of a metal plate cover in the figure below to answer the question. What are the dimensions of the rectangular holes?   Side of square = 0.1 cm

Accepted Answer

A)  $0.2 \mathrm {~cm} \times 2 \mathrm {~cm}$ 
B)  $0.2 \mathrm {~cm} \times 1 \mathrm {~cm}$ 
C)  $0.02 \mathrm {~cm} \times 0.1 \mathrm {~cm}$ 
D)  $0.4 \mathrm {~cm} \times 2 \mathrm {~cm}$ 
E)  $0.2 \mathrm {~cm} \times 0.1 \mathrm {~cm}$ 
A)  $0.2 \mathrm {~cm} \times 2 \mathrm {~cm}$ 
B)  $0.2 \mathrm {~cm} \times 1 \mathrm {~cm}$ 
C)  $0.02 \mathrm {~cm} \times 0.1 \mathrm {~cm}$ 
D)  $0.4 \mathrm {~cm} \times 2 \mathrm {~cm}$ 
E)  $0.2 \mathrm {~cm} \times 0.1 \mathrm {~cm}$ B

Question 3

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 0.18 } { 2 x } = \frac { 0.545 } { 278 }$

Accepted Answer

A)  x = 28.3 
B)  x = 29.5 
C)  x = 30.6 
D)  x = 27.0 
E)  x = 91.8 
A)  x = 28.3 
B)  x = 29.5 
C)  x = 30.6 
D)  x = 27.0 
E)  x = 91.8 C

Question 4

Calculate the values of x and y in the following table.   $\begin{array} { | l | l | l | l | } 
\hline F _ { 1 } & d _ { 1 } & F _ { 2 } & d _ { 2 } \
\hline 27 \mathrm { lb } & 6 \text { in. } & x \mathrm { lb } & 2 \mathrm { in. } \
\hline y \mathrm { lb } & 4.2 \mathrm { in } . & 512.6 \mathrm { lb } & 4.4 \mathrm { in } . \
\hline
\end{array}$

Accepted Answer

A)  x = 240, y = 537.0 
B)  x = 8.1, y = 5,370.1 
C)  x = 81, y = 537.0 
D)  x = 80, y = 537.0 
E)  x = 240, y = 1,074.0 
A)  x = 240, y = 537.0 
B)  x = 8.1, y = 5,370.1 
C)  x = 81, y = 537.0 
D)  x = 80, y = 537.0 
E)  x = 240, y = 1,074.0

Question 5

A large gear with 405 teeth running at 300 rpm turns a small gear 450 rpm. How many teeth does the small gear have?

Accepted Answer

A)  180 
B)  540 
C)  320 
D)  267 
E)  270 
A)  180 
B)  540 
C)  320 
D)  267 
E)  270

Question 6

A large pulley turns at 105 rpm. A smaller pulley 7 in. in diameter turns at 300 rpm. What is the diameter of the larger pulley?
__________ inches

Accepted Answer

The answer of A large pulley turns at 105 rpm....

Question 7

Find the length of time an IV (intravenous) should be administered. (Assume a drop factor of 10 drops/mL.) Give your answer in hours. 780 mL at a rate of 30 drops/min

Accepted Answer

A)  $\frac { 1 } { 3 } \text { hours }$ 
B)  $3 \frac { 1 } { 3 } \text { hours }$ 
C)  $4 \frac { 1 } { 3 } \text { hours }$ 
D)  $7 \frac { 1 } { 3 } \text { hours }$ 
E)  $2 \frac { 1 } { 3 } \text { hours }$ 
A)  $\frac { 1 } { 3 } \text { hours }$ 
B)  $3 \frac { 1 } { 3 } \text { hours }$ 
C)  $4 \frac { 1 } { 3 } \text { hours }$ 
D)  $7 \frac { 1 } { 3 } \text { hours }$ 
E)  $2 \frac { 1 } { 3 } \text { hours }$

Question 8

Express the ratio in lowest terms. $5 : 40$

Accepted Answer

A)  $\frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 13 }$ 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 1 } { 11 }$ 
E)  $\frac { 1 } { 7 }$ 
A)  $\frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 13 }$ 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 1 } { 11 }$ 
E)  $\frac { 1 } { 7 }$

Question 9

Use the formulas for the hydraulic press to solve the following problem. A force of 50 lb is applied to a piston of radius 9 in. of a hydraulic press. The large piston has a radius of 18 in. What force is exerted by the large piston?

Accepted Answer

A)  50 lb 
B)  200 lb 
C)  100 lb 
D)  400 lb 
E)  220 lb 
A)  50 lb 
B)  200 lb 
C)  100 lb 
D)  400 lb 
E)  220 lb

Question 10

Solve the proportion. Round the result to three significant digits if necessary. $\frac { x } { 32 } = \frac { 60 } { 84 }$

Accepted Answer

The answer of Solve the proportion. Round the result to...

Question 11

Express the ratio in lowest terms. $7 \frac { 8 } { 9 } : 9$

Accepted Answer

A)  $\frac { 65 } { 78 }$ 
B)  $\frac { 65 } { 75 }$ 
C)  $\frac { 69 } { 79 }$ 
D)  $\frac { 75 } { 85 }$ 
E)  $\frac { 71 } { 81 }$ 
A)  $\frac { 65 } { 78 }$ 
B)  $\frac { 65 } { 75 }$ 
C)  $\frac { 69 } { 79 }$ 
D)  $\frac { 75 } { 85 }$ 
E)  $\frac { 71 } { 81 }$

Question 12

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 94.8 } { 6.78 } = \frac { x } { 19.3 }$

Accepted Answer

A)  x = 273 
B)  x = 271 
C)  x = 33.3 
D)  x = 268 
E)  x = 270 
A)  x = 273 
B)  x = 271 
C)  x = 33.3 
D)  x = 268 
E)  x = 270

Question 13

F l = 3,000 lb and   $M A = \frac { 75 } { 1 }$ . Find F s .

Accepted Answer

A)  40 lb 
B)  80 lb 
C)  30 lb 
D)  360 lb 
E)  36 lb 
A)  40 lb 
B)  80 lb 
C)  30 lb 
D)  360 lb 
E)  36 lb

Question 14

Use the map given below to find the approximate air distance between Tulsa and Fort Smith.

Accepted Answer

A)  221 km 
B)  442 km 
C)  121 km 
D)  22.1 km 
E)  371 km 
A)  221 km 
B)  442 km 
C)  121 km 
D)  22.1 km 
E)  371 km

Question 15

Express the ratio in lowest terms. $2 : 14$

Accepted Answer

The answer of Express the ratio in lowest terms. \(2...

Question 16

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 5 } { 9 } = \frac { 10 } { y }$

Accepted Answer

A)  y = 17.7 
B)  y = 18.1 
C)  y = 0.1 
D)  y = 18 
E)  y = 18.5 
A)  y = 17.7 
B)  y = 18.1 
C)  y = 0.1 
D)  y = 18 
E)  y = 18.5

Question 17

When a force of 350 lb is applied to the small piston of a hydraulic press, a force of 14,000 lb is exerted by the large piston. Find its mechanical advantage.

Accepted Answer

A)  $\frac { 40 } { 1 }$ 
B)  $\frac { 42 } { 1 }$ 
C)  $\frac { 30 } { 1 }$ 
D)  $\frac { 25 } { 1 }$ 
E)  $\frac { 38 } { 1 }$ 
A)  $\frac { 40 } { 1 }$ 
B)  $\frac { 42 } { 1 }$ 
C)  $\frac { 30 } { 1 }$ 
D)  $\frac { 25 } { 1 }$ 
E)  $\frac { 38 } { 1 }$

Question 18

Find the length of time an IV (intravenous) should be administered. (Assume a drop factor of 10 drops/mL.) Give your answer in hours. 2.1 L at a rate of 60 drops/min

Accepted Answer

A)  $3 \frac { 5 } { 6 } \text { hours }$ 
B)  $5 \frac { 5 } { 6 } \text { hours }$ 
C)  $4 \frac { 5 } { 6 } \text { hours }$ 
D)  $8 \frac { 5 } { 6 } \text { hours }$ 
E)  $50 \frac { 5 } { 6 } \text { hours }$ 
A)  $3 \frac { 5 } { 6 } \text { hours }$ 
B)  $5 \frac { 5 } { 6 } \text { hours }$ 
C)  $4 \frac { 5 } { 6 } \text { hours }$ 
D)  $8 \frac { 5 } { 6 } \text { hours }$ 
E)  $50 \frac { 5 } { 6 } \text { hours }$

Question 19

A plane flies 3 h and uses 45 gal of 100LL aviation fuel. How much will be used if the plane flew only 1.5 h?

Accepted Answer

A)  19.5 gallons 
B)  22.5 gallons 
C)  23.5 gallons 
D)  67.5 gallons 
E)  27.5 gallons 
A)  19.5 gallons 
B)  22.5 gallons 
C)  23.5 gallons 
D)  67.5 gallons 
E)  27.5 gallons

Question 20

Fill in the blanks.

$\begin{array}{l}
\hline { \text { Pulley A } }\quad\quad\quad\quad\quad\quad \text { Pulley B } \
\begin{array}{ | l | l | l | l | }

\hline \text { Diameter } & \mathrm{rpm} & \text { Diameter } & \mathrm{rpm} \
\hline 41 \mathrm{~cm} & 460 & {\mathrm{cm}} & 820 \
\hline 15 \mathrm{~cm} & 900 & 72 \mathrm{~cm} & \
\hline
\end{array}
\end{array}$

Accepted Answer

The answer of Fill in the blanks.

\(\begin{array}{l}
\hline { \text...

The ratio of the voltage drops across two resistors wired in series equals the ratio of their resistances. Find the ratio of a 690- ? resistor to a 300- ? resistor.

Use the scale drawing of a metal plate cover in the figure below to answer the question. What are the dimensions of the rectangular holes? Side of square = 0.1 cm

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 0.18 } { 2 x } = \frac { 0.545 } { 278 }$

Calculate the values of x and y in the following table. 27 6 in. x 2 y 4.2. 512.6 4.4.

A large gear with 405 teeth running at 300 rpm turns a small gear 450 rpm. How many teeth does the small gear have?

A large pulley turns at 105 rpm. A smaller pulley 7 in. in diameter turns at 300 rpm. What is the diameter of the larger pulley? __________ inches

Find the length of time an IV (intravenous) should be administered. (Assume a drop factor of 10 drops/mL.) Give your answer in hours. 780 mL at a rate of 30 drops/min

Express the ratio in lowest terms. $5 : 40$

Use the formulas for the hydraulic press to solve the following problem. A force of 50 lb is applied to a piston of radius 9 in. of a hydraulic press. The large piston has a radius of 18 in. What force is exerted by the large piston?

Solve the proportion. Round the result to three significant digits if necessary. $\frac { x } { 32 } = \frac { 60 } { 84 }$

Express the ratio in lowest terms. $7 \frac { 8 } { 9 } : 9$

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 94.8 } { 6.78 } = \frac { x } { 19.3 }$

F _l = 3,000 lb and $M A = \frac { 75 } { 1 }$ . Find F _s .

Use the map given below to find the approximate air distance between Tulsa and Fort Smith.

Express the ratio in lowest terms. $2 : 14$

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 5 } { 9 } = \frac { 10 } { y }$

When a force of 350 lb is applied to the small piston of a hydraulic press, a force of 14,000 lb is exerted by the large piston. Find its mechanical advantage.

Find the length of time an IV (intravenous) should be administered. (Assume a drop factor of 10 drops/mL.) Give your answer in hours. 2.1 L at a rate of 60 drops/min

A plane flies 3 h and uses 45 gal of 100LL aviation fuel. How much will be used if the plane flew only 1.5 h?

Fill in the blanks. Pulley A Pulley B Diameter Diameter 41 460 820 15 900 72

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

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 7: Ratio and Proportion

The ratio of the voltage drops across two resistors wired in series equals the ratio of their resistances. Find the ratio of a 690- ? resistor to a 300- ? resistor.

Use the scale drawing of a metal plate cover in the figure below to answer the question. What are the dimensions of the rectangular holes? Side of square = 0.1 cm

Solve the proportion. Round the result to three significant digits when necessary. 0.182x=0.545278\frac { 0.18 } { 2 x } = \frac { 0.545 } { 278 }2x0.18​=2780.545​

Calculate the values of x and y in the following table. 27 6 in. x 2 y 4.2. 512.6 4.4.

A large gear with 405 teeth running at 300 rpm turns a small gear 450 rpm. How many teeth does the small gear have?

A large pulley turns at 105 rpm. A smaller pulley 7 in. in diameter turns at 300 rpm. What is the diameter of the larger pulley? __________ inches

Find the length of time an IV (intravenous) should be administered. (Assume a drop factor of 10 drops/mL.) Give your answer in hours. 780 mL at a rate of 30 drops/min

Express the ratio in lowest terms. 5:405 : 405:40

Use the formulas for the hydraulic press to solve the following problem. A force of 50 lb is applied to a piston of radius 9 in. of a hydraulic press. The large piston has a radius of 18 in. What force is exerted by the large piston?

Solve the proportion. Round the result to three significant digits if necessary. x32=6084\frac { x } { 32 } = \frac { 60 } { 84 }32x​=8460​

Express the ratio in lowest terms. 789:97 \frac { 8 } { 9 } : 9798​:9

Solve the proportion. Round the result to three significant digits when necessary. 94.86.78=x19.3\frac { 94.8 } { 6.78 } = \frac { x } { 19.3 }6.7894.8​=19.3x​

F l = 3,000 lb and MA=751M A = \frac { 75 } { 1 }MA=175​ . Find F s .

Use the map given below to find the approximate air distance between Tulsa and Fort Smith.

Express the ratio in lowest terms. 2:142 : 142:14

Solve the proportion. Round the result to three significant digits when necessary. 59=10y\frac { 5 } { 9 } = \frac { 10 } { y }95​=y10​

When a force of 350 lb is applied to the small piston of a hydraulic press, a force of 14,000 lb is exerted by the large piston. Find its mechanical advantage.

Find the length of time an IV (intravenous) should be administered. (Assume a drop factor of 10 drops/mL.) Give your answer in hours. 2.1 L at a rate of 60 drops/min

A plane flies 3 h and uses 45 gal of 100LL aviation fuel. How much will be used if the plane flew only 1.5 h?

Fill in the blanks. Pulley A Pulley B Diameter Diameter 41 460 820 15 900 72

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

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

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 0.18 } { 2 x } = \frac { 0.545 } { 278 }$

Express the ratio in lowest terms. $5 : 40$

Solve the proportion. Round the result to three significant digits if necessary. $\frac { x } { 32 } = \frac { 60 } { 84 }$

Express the ratio in lowest terms. $7 \frac { 8 } { 9 } : 9$

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 94.8 } { 6.78 } = \frac { x } { 19.3 }$

F _l = 3,000 lb and $M A = \frac { 75 } { 1 }$ . Find F _s .

Express the ratio in lowest terms. $2 : 14$

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 5 } { 9 } = \frac { 10 } { y }$