Question 1

You need 25 ft 3 of cement to make 70 ft 3 of concrete. Find the ratio of volume of concrete to volume of cement.

Accepted Answer

A)  $\frac { 5 } { 14 }$ 
B)  $\frac { 10 } { 9 }$ 
C)  $\frac { 20 } { 11 }$ 
D)  $\frac { 16 } { 7 }$ 
E)  $\frac { 14 } { 5 }$ 
A)  $\frac { 5 } { 14 }$ 
B)  $\frac { 10 } { 9 }$ 
C)  $\frac { 20 } { 11 }$ 
D)  $\frac { 16 } { 7 }$ 
E)  $\frac { 14 } { 5 }$

Question 2

Two small window air conditioner units are purchased and put into opposite sides of a house. One air conditioner is 2,000 Btu and the other is 6,500 Btu. What is the ratio of the 2,000 Btu to the 6,500 Btu air conditioner?

Accepted Answer

A)  $\frac { 4 } { 13 }$ 
B)  $\frac { 1 } { 50 }$ 
C)  $\frac { 2 } { 15 }$ 
D)  $\frac { 10 } { 19 }$ 
E)  $\frac { 8 } { 17 }$ 
A)  $\frac { 4 } { 13 }$ 
B)  $\frac { 1 } { 50 }$ 
C)  $\frac { 2 } { 15 }$ 
D)  $\frac { 10 } { 19 }$ 
E)  $\frac { 8 } { 17 }$

Question 3

Find the flow rate for the given IV (intravenous), assume a drop factor of 15 drops/mL. Round your answer to the nearest whole number. 1,100 mL in 8 h

Accepted Answer

A)  34 drops/min 
B)  33 drops/min 
C)  138 drops/min 
D)  37 drops/min 
E)  39 drops/min 
A)  34 drops/min 
B)  33 drops/min 
C)  138 drops/min 
D)  37 drops/min 
E)  39 drops/min

Question 4

If welding rods cost $59 per 50 lb, how much would it cost for 90 lb?

Accepted Answer

A)  $111.20 
B)  $106.20 
C)  $104.20 
D)  $113.70 
E)  $102.70 
A)  $111.20 
B)  $106.20 
C)  $104.20 
D)  $113.70 
E)  $102.70

Question 5

A small pulley is 9 in. in diameter, and a larger one is 17 in. in diameter. How many rpm does the larger pulley make if the smaller one revolves at 850 rpm?
__________ rpm

Accepted Answer

The answer of A small pulley is 9 in. in...

Question 6

Express the rate in lowest terms. $\frac { 720 \mathrm { mi } } { 8 \mathrm { gal } }$ __________ mi/gal

Accepted Answer

The answer of Express the rate in lowest terms. \(\frac...

Question 7

A multiple-dose vial been mixed and labeled "200,000 units in 1 cm 3 ." How many cubic centimeters are needed to give 900,000 units?

Accepted Answer

A)  2.3 cm 3 
B)  4.5 cm 3 
C)  3.7 cm 3 
D)  3.4 cm 3 
E)  1.2 cm 3 
A)  2.3 cm 3 
B)  4.5 cm 3 
C)  3.7 cm 3 
D)  3.4 cm 3 
E)  1.2 cm 3

Question 8

A car is listed to sell at $22,600, the salesperson offers to sell it to you $17,100. What percent of the list price is the reduction? Round your answer to the nearest tenth of a percent if necessary.

Accepted Answer

A)  25.4% 
B)  22.1% 
C)  27.6% 
D)  24.3% 
E)  0.2% 
A)  25.4% 
B)  22.1% 
C)  27.6% 
D)  24.3% 
E)  0.2%

Question 9

Solve the proportion. Round the result to three significant digits. $\frac { 0.120 } { 3 x } = \frac { 0.585 } { 275 }$ $x =$ __________

Accepted Answer

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

Question 10

Express the ratio in lowest terms. $12 \mathrm {~cm} \text { to } 15 \mathrm {~mm}$

Accepted Answer

The answer of Express the ratio in lowest terms. \(12...

Question 11

Solve the proportion. Round the result to three significant digits when necessary. $\frac { x } { 32 } = \frac { 63 } { 81 }$

Accepted Answer

A)  x = 26.0 
B)  x = 0.040 
C)  x = 24.9 
D)  x = 27.2 
E)  x = 21.3 
A)  x = 26.0 
B)  x = 0.040 
C)  x = 24.9 
D)  x = 27.2 
E)  x = 21.3

Question 12

A large gear with 270 teeth running at 600 rpm turns a small gear 900 rpm. How many teeth does the small gear have?
__________ teeth

Accepted Answer

The answer of A large gear with 270 teeth running...

Question 13

Calculate the values of x and y in the following table.

$\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 } & \text { rpm } & \text { Diameter } & \text { rpm } \
\hline x \text { in. } & 625 & 25 \text { in. } & 975 \
\hline 96 \mathrm {~cm} & 240 & y \mathrm {~cm} & 360 \
\hline
\end{array}
\end{array}$

Accepted Answer

A)  x = 78, y = 122 
B)  x = 42, y = 61 
C)  x = 39, y = 64 
D)  x = 42, y = 122 
E)  x = 21, y = 61 
A)  x = 78, y = 122 
B)  x = 42, y = 61 
C)  x = 39, y = 64 
D)  x = 42, y = 122 
E)  x = 21, y = 61

Question 14

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 30 } { 35 } = \frac { y } { 42 }$

Accepted Answer

A)  y = 36 
B)  y = 37 
C)  y = 0.028 
D)  y = 31 
E)  y = 39 
A)  y = 36 
B)  y = 37 
C)  y = 0.028 
D)  y = 31 
E)  y = 39

Question 15

Use the scale drawing of a metal plate cover in the figure below to answer the question. What is the distance between the centers of the right pair of circular holes?   Side of square = 0.6 cm

Accepted Answer

A)  3.9 cm 
B)  7.2 cm 
C)  8.4 cm 
D)  4.68 cm 
E)  7.8 cm 
A)  3.9 cm 
B)  7.2 cm 
C)  8.4 cm 
D)  4.68 cm 
E)  7.8 cm

Question 16

Fill in the blanks.

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

\hline \begin{array} { l } 
\text { Number of } \
\text { teeth }
\end{array} & \mathrm { rpm } & \text { Number of teeth } & \mathrm { rpm } \
\hline 54 & 200 & 25 & \
\hline 40 & 64 & & 80 \
\hline
\end{array}
\end{array}$

Accepted Answer

The answer of Fill in the blanks.

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

Question 17

Express the ratio in lowest terms. $22 \text { to } 18$

Accepted Answer

A)  $\frac { 22 } { 9 }$ 
B)  $\frac { 11 } { 9 }$ 
C)  $\frac { 13 } { 7 }$ 
D)  $\frac { 17 } { 15 }$ 
E)  $\frac { 7 } { 13 }$ 
A)  $\frac { 22 } { 9 }$ 
B)  $\frac { 11 } { 9 }$ 
C)  $\frac { 13 } { 7 }$ 
D)  $\frac { 17 } { 15 }$ 
E)  $\frac { 7 } { 13 }$

Question 18

$F _ { 1 } = 6,160$ and $M A = \frac { 70 } { 1 }$ . Find $F _ { 1 }$ .

Accepted Answer

A)  44 lb 
B)  88 lb 
C)  86 lb 
D)  98 lb 
E)  0.01 lb 
A)  44 lb 
B)  88 lb 
C)  86 lb 
D)  98 lb 
E)  0.01 lb

Question 19

Solve the proportion. Round the result to three significant digits. $\frac { 94.7 } { 6.79 } = \frac { x } { 19.9 }$ $x =$ __________

Accepted Answer

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

Question 20

Fill in the blanks. $\begin{array} { l } 
 \hline \text { Pulley A } \quad\quad\quad\quad\quad\quad { \text { Pulley B } } \
\begin{array} { | l | l | l | l | } 
\hline \text { Diameter } & \mathrm { rpm } & \text { Diameter } & \mathrm { rpm } \
\hline 24 \mathrm {~cm} & 48 & 48 \mathrm {~cm} & \
\hline 9 \mathrm {~cm} & & 6 \mathrm {~cm} & 90 \
\hline
\end{array}\end{array}$

Accepted Answer

The answer of Fill in the blanks. \(\begin{array} { l...

You need 25 ft ³ of cement to make 70 ft ³ of concrete. Find the ratio of volume of concrete to volume of cement.

Two small window air conditioner units are purchased and put into opposite sides of a house. One air conditioner is 2,000 Btu and the other is 6,500 Btu. What is the ratio of the 2,000 Btu to the 6,500 Btu air conditioner?

Find the flow rate for the given IV (intravenous), assume a drop factor of 15 drops/mL. Round your answer to the nearest whole number. 1,100 mL in 8 h

If welding rods cost $59 per 50 lb, how much would it cost for 90 lb?

A small pulley is 9 in. in diameter, and a larger one is 17 in. in diameter. How many rpm does the larger pulley make if the smaller one revolves at 850 rpm? __________ rpm

Express the rate in lowest terms. $\frac { 720 \mathrm { mi } } { 8 \mathrm { gal } }$ __________ mi/gal

A multiple-dose vial been mixed and labeled "200,000 units in 1 cm ³ ." How many cubic centimeters are needed to give 900,000 units?

A car is listed to sell at $22,600, the salesperson offers to sell it to you $17,100. What percent of the list price is the reduction? Round your answer to the nearest tenth of a percent if necessary.

Solve the proportion. Round the result to three significant digits. $\frac { 0.120 } { 3 x } = \frac { 0.585 } { 275 }$ $x =$ __________

Express the ratio in lowest terms. $12 \mathrm {~cm} \text { to } 15 \mathrm {~mm}$

Solve the proportion. Round the result to three significant digits when necessary. $\frac { x } { 32 } = \frac { 63 } { 81 }$

A large gear with 270 teeth running at 600 rpm turns a small gear 900 rpm. How many teeth does the small gear have? __________ teeth

Calculate the values of x and y in the following table. Pulley A Pulley B Diameter rpm Diameter rpm x in. 625 25 in. 975 96 240 y 360

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 30 } { 35 } = \frac { y } { 42 }$

Use the scale drawing of a metal plate cover in the figure below to answer the question. What is the distance between the centers of the right pair of circular holes? Side of square = 0.6 cm

Fill in the blanks. Gear A Gear B Number of teeth Number of teeth 54 200 25 40 64 80

Express the ratio in lowest terms. $22 \text { to } 18$

$F _ { 1 } = 6,160$ and $M A = \frac { 70 } { 1 }$ . Find $F _ { 1 }$ .

Solve the proportion. Round the result to three significant digits. $\frac { 94.7 } { 6.79 } = \frac { x } { 19.9 }$ $x =$ __________

Fill in the blanks. Pulley A Pulley B Diameter Diameter 24 48 48 9 6 90

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

You need 25 ft 3 of cement to make 70 ft 3 of concrete. Find the ratio of volume of concrete to volume of cement.

Two small window air conditioner units are purchased and put into opposite sides of a house. One air conditioner is 2,000 Btu and the other is 6,500 Btu. What is the ratio of the 2,000 Btu to the 6,500 Btu air conditioner?

Find the flow rate for the given IV (intravenous), assume a drop factor of 15 drops/mL. Round your answer to the nearest whole number. 1,100 mL in 8 h

If welding rods cost $59 per 50 lb, how much would it cost for 90 lb?

A small pulley is 9 in. in diameter, and a larger one is 17 in. in diameter. How many rpm does the larger pulley make if the smaller one revolves at 850 rpm? __________ rpm

Express the rate in lowest terms. 720mi8gal\frac { 720 \mathrm { mi } } { 8 \mathrm { gal } }8gal720mi​ __________ mi/gal

A multiple-dose vial been mixed and labeled "200,000 units in 1 cm 3 ." How many cubic centimeters are needed to give 900,000 units?

A car is listed to sell at $22,600, the salesperson offers to sell it to you $17,100. What percent of the list price is the reduction? Round your answer to the nearest tenth of a percent if necessary.

Solve the proportion. Round the result to three significant digits. 0.1203x=0.585275\frac { 0.120 } { 3 x } = \frac { 0.585 } { 275 }3x0.120​=2750.585​ x=x =x= __________

Express the ratio in lowest terms. 12 cm to 15 mm12 \mathrm {~cm} \text { to } 15 \mathrm {~mm}12 cm to 15 mm

Solve the proportion. Round the result to three significant digits when necessary. x32=6381\frac { x } { 32 } = \frac { 63 } { 81 }32x​=8163​

A large gear with 270 teeth running at 600 rpm turns a small gear 900 rpm. How many teeth does the small gear have? __________ teeth

Calculate the values of x and y in the following table. Pulley A Pulley B Diameter rpm Diameter rpm x in. 625 25 in. 975 96 240 y 360

Solve the proportion. Round the result to three significant digits when necessary. 3035=y42\frac { 30 } { 35 } = \frac { y } { 42 }3530​=42y​

Use the scale drawing of a metal plate cover in the figure below to answer the question. What is the distance between the centers of the right pair of circular holes? Side of square = 0.6 cm

Fill in the blanks. Gear A Gear B Number of teeth Number of teeth 54 200 25 40 64 80

Express the ratio in lowest terms. 22 to 1822 \text { to } 1822 to 18

F1=6,160F _ { 1 } = 6,160F1​=6,160 and MA=701M A = \frac { 70 } { 1 }MA=170​ . Find F1F _ { 1 }F1​ .

Solve the proportion. Round the result to three significant digits. 94.76.79=x19.9\frac { 94.7 } { 6.79 } = \frac { x } { 19.9 }6.7994.7​=19.9x​ x=x =x= __________

Fill in the blanks. Pulley A Pulley B Diameter Diameter 24 48 48 9 6 90

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

You need 25 ft ³ of cement to make 70 ft ³ of concrete. Find the ratio of volume of concrete to volume of cement.

Express the rate in lowest terms. $\frac { 720 \mathrm { mi } } { 8 \mathrm { gal } }$ __________ mi/gal

A multiple-dose vial been mixed and labeled "200,000 units in 1 cm ³ ." How many cubic centimeters are needed to give 900,000 units?

Solve the proportion. Round the result to three significant digits. $\frac { 0.120 } { 3 x } = \frac { 0.585 } { 275 }$ $x =$ __________

Express the ratio in lowest terms. $12 \mathrm {~cm} \text { to } 15 \mathrm {~mm}$

Solve the proportion. Round the result to three significant digits when necessary. $\frac { x } { 32 } = \frac { 63 } { 81 }$

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 30 } { 35 } = \frac { y } { 42 }$

Express the ratio in lowest terms. $22 \text { to } 18$

$F _ { 1 } = 6,160$ and $M A = \frac { 70 } { 1 }$ . Find $F _ { 1 }$ .

Solve the proportion. Round the result to three significant digits. $\frac { 94.7 } { 6.79 } = \frac { x } { 19.9 }$ $x =$ __________