Question 1

43.56 is what percent of 66?

Accepted Answer

A)  73% 
B)  66% 
C)  69% 
D)  57% 
E)  62%

Question 2

Solve the equation for x . $y = - 2 x - 9$

Accepted Answer

A)  $x = \frac { y - 9 } { 2 }$ 
B)  $x = - \frac { y + 9 } { 2 }$ 
C)  $x = - \frac { y - 2 } { 9 }$ 
D)  none of these

Question 3

Two trains leave at the same time, one traveling east and the other traveling west. At the end of 3 hours they are 192 miles apart. If the rate of the train traveling east is 12 miles per hour faster than the rate of the other train, find their rates. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

Accepted Answer

The answer of Two trains leave at the same time,...

Question 4

Solve the equation. $w + ( 3 w - 48 ) + ( 4 w - 8 ) = 64$

Accepted Answer

A)  w = 17 
B)  w = 6 
C)  w = 23 
D)  w = 15

Question 5

A board 26 feet long is cut into two pieces whose lengths are in the ratio of 4 to 9. Find the lengths of the two pieces. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

Accepted Answer

The answer of A board 26 feet long is cut...

Question 6

Find the perimeter of a rectangle that is 14 centimeters long and 2 centimeters wide.

Accepted Answer

A)  32 cm 
B)  29 cm 
C)  37 cm 
D)  34 cm 
E)  27 cm

Question 7

A car leaves a town traveling at 44 miles per hour. 4 hours later a second car leaves the town traveling the same route and overtakes the first car in 4 hours. How fast was the second car traveling? ___________ miles per hour

Accepted Answer

The answer of A car leaves a town traveling at...

Question 8

The volume of a sphere is $V = \frac { 1 } { 3 } \pi r ^ { 3 }$ .

Accepted Answer

A) True 
 B)False

Question 9

In the illustration you ll notice that the diameter of a metal washer is a = 10 centimeters. The diameter of the hole is b = 3 centimeters. How many square centimeters of metal are there in 48 washers? Express the answer in terms of $$\pi$$ .

Accepted Answer

A)  $1,092 \pi \mathrm { cm } ^ { 2 }$ 
B)  $1,082 \pi \mathrm { cm } ^ { 2 }$ 
C)  $1,112 \pi \mathrm { cm } ^ { 2 }$ 
D)  $1,102 \pi \mathrm { cm } ^ { 2 }$ 
E)  none of these

Question 10

Use the formula $i = P r t$ to reach a solution for the following problem. How much principal, invested at 18% annual interest for 6 years, is needed to earn $4,039.20?

Accepted Answer

A)  P = $3,740 
B)  P = $3,810 
C)  P = $3,730 
D)  P = $3,700 
E)  none of these

Question 11

Solve the equation. 0.45 t = 0.36

Accepted Answer

A)  t = 0.8 
B)  t = 1.3 
C)  t = 1.7 
D)  t = 0.6 
E)  none of these

Question 12

If the volume of a right circular cone is $96 \pi$ cubic inches and a radius of the base is 6 inches long, find the height of the cone.

Accepted Answer

A)  $24$ in. 
B)  $8 \pi$ in. 
C)  $16$ in. 
D)  $8$ in. 
E)  none of these

Question 13

Solve the following equation. Your calculator might be of some help. 4.9 x + 0.2 = 29.404 Enter your answer as a decimal.

Accepted Answer

The answer of Solve the following equation. Your calculator might...

Question 14

The distance between city A and city B is 585 miles. A freight train leaves city A and travels toward city B at 41 miles per hour. At the same time, a passenger train leaves city B and travels toward city A at 76 miles per hour. How long will it take the two trains to meet?

Accepted Answer

A)  117 hours 
B)  46 hours 
C)  122 hours 
D)  5 hours

Question 15

Solve the equation. 0.4(10) + x = 0.8(20 + x )

Accepted Answer

The answer of Solve the equation. 0.4(10) + x =...

Question 16

Set up an equation and solve the following problem. Suppose that the perimeter of a square equals the perimeter of a rectangle. The width of the rectangle is 12 inches less than twice the side of the square, and the length of the rectangle is 6 inches less than twice the side of the square. Find the side of the square. __________ inches

Accepted Answer

The answer of Set up an equation and solve the...

Question 17

Change the fraction $\frac { 7 } { 25 }$ to a percent.

Accepted Answer

A)  30% 
B)  27% 
C)  28% 
D)  33%

Question 18

Use the formula $i = P r t$ to reach a solution for the following problem. How much is a month s interest on a mortgage balance of $3,900 at a 9% annual interest rate? $__________

Accepted Answer

The answer of Use the formula \(i = P r...

Question 19

Solve the equation. 0.87 t = 0.783 Please enter your answer as a decimal.

Accepted Answer

The answer of Solve the equation. 0.87 t = 0.783...

Question 20

If the length of a rectangle is 6 inches more than twice the width, the expression for width could be x .

Accepted Answer

A) True 
 B)False

Exam 4: Formulas and Problem Solving

43.56 is what percent of 66?

Solve the equation for x . y=−2x−9y = - 2 x - 9y=−2x−9

Solve the equation. w+(3w−48) +(4w−8) =64w + ( 3 w - 48 ) + ( 4 w - 8 ) = 64w+(3w−48) +(4w−8) =64