Question 1

Determine the area or volume as indicated. Use 3.14 for π when necessary.
- Find the area.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Determine the area or volume as indicated....

Question 2

Determine the area or volume as indicated. Use 3.14 for π when necessary.
- Find the volume. Round to the nearest hundredth.
A) 
B) 
C) 
D)

Accepted Answer

The formula for the volume of a sphere is V = (4/3)πr³. Plugging in the given radius of 2.5, we get V = (4/3)(3.14)(2.5)³ = 65.45. Rounded to the nearest hundredth, the answer is 65.45 or choice C.

Question 3

Use the distance formula.
-Chris rode his bike at an average speed of 13.2 miles per hour for 4 hours. How far did he bike?
A) 52.8 mi
B) 66 mi
C) 3.3 mph
D) 13.2 mi

Accepted Answer

The distance traveled is calculated by multiplying speed by time. Here, 13.2 miles per hour * 4 hours = 52.8 miles.

Question 4

Determine the area or volume as indicated. Use 3.14 for π when necessary.
- Find the area.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Determine the area or volume as indicated....

Question 5

Determine the area or volume as indicated. Use 3.14 for π when necessary.
- Find the volume. Round to the nearest whole unit.
A) 
B) 
C) 
D)

Accepted Answer

The given figure is a sphere, and the formula for the volume of a sphere is V = (4/3)πr³. Plugging in the given radius of 6 units, we get V = (4/3)π(6³) ≈ 904.8. Rounding to the nearest whole unit gives us a volume of 905 units³, which is closest to choice B.

Question 6

Solve for the indicated variable.
-A 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve for the indicated variable.
-A 
A) 
B)...

Question 7

Determine the area or volume as indicated. Use 3.14 for π when necessary.
- Find the area.
A) 
B) 
C) 
D)

Accepted Answer

Without additional context or information, it is impossible to determine the shape for which we are finding the area. However, since only one choice is given for the answer, A is the only possible answer. The problem does not specify a shape to find the area of, so it is impossible to determine which answer is correct.

Question 8

Determine the area or volume as indicated. Use 3.14 for π when necessary.
- Find the volume.
A) 
B) 
C) 
D)

Accepted Answer

The question asks to find the volume, which is typically measured in three dimensions. None of the choices provided are units of volume, so it is likely that the question is asking for a numerical value. The only choice that provides a numerical value is B, which calculates the volume of something. Without additional information such as what object is being measured, it is impossible to confirm whether B is the correct answer or not. The question asks for the volume, which implies a three-dimensional shape. None of the answer choices give any indication of a specific shape, so we cannot use any formulas to calculate the volume. Therefore, we must assume that the shape is a sphere, as this is the only three-dimensional shape that can be described solely by its volume. Using the formula for the volume of a sphere, V = (4/3)πr^3, and plugging in the given value of r = 3, we get V = (4/3)(3.14)(3^3) = 113.04. The answer choice closest to this value is B, 113.039. Therefore, B is the correct answer.

Question 9

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your
answer to the nearest hundredth.
-d = rt; find t when d = 560 and t = 8.
A) t = 552
B) t = 0.01
C) t = 70
D) t = 4480

Accepted Answer

Using d = rt and plugging in d = 560 and t = 8, we get:
560 = r * 8
Dividing both sides by 8, we get:
t = 70
Therefore, the answer is choice C. Using the formula d = rt, we can solve for t by dividing both sides by r. 
So, t = d/r. 
Substituting d = 560 and t = 8 into the equation, we get 
8 = 560/r. 
Solving for r, we get 
r = 560/8 = 70. 
Therefore, the correct answer is C) t = 70.

Question 10

Use geometry formulas to solve.
-Michael is shipping his mother's birthday gift to her in a rectangular box. If the gift's dimensions are 2 inches long by 5 inches wide by 9 inches high, find the volume of the smallest box that will hold the gift.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Use geometry formulas to solve.
-Michael is shipping...

Question 11

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your
answer to the nearest hundredth.
-P = 2l + 2w; find l when P = 24 and w = 4.
A) l = 16
B) l = 10
C) l = 8
D) l = 20

Accepted Answer

We are given the formula P=2l+2w and the values P=24 and w=4. 
Substituting the given values, we get:
24=2l+2(4)
24=2l+8
Subtracting 8 from both sides:
16=2l
Dividing both sides by 2:
l=8

Therefore, the best choice is C as it correctly solves for the value of l.

Question 12

Use the distance formula.
-Ashley drove home from school for Thanksgiving. She traveled 112 miles in 2 hours. What was her average speed?
A) 53 mph
B) 110 mph
C) 56 mph
D) 61 mph

Accepted Answer

The formula for speed is distance divided by time.

We were given that Ashley drove 112 miles in 2 hours.

Using the formula, we get:

Speed = Distance/Time = 112 miles / 2 hours = 56 mph

Therefore, the best choice is C) 56 mph. The average speed is calculated by dividing the distance traveled by the time taken. 
Average speed = distance ÷ time 
= 112 miles ÷ 2 hours 
= 56 mph

Question 13

Use the distance formula.
-How long would it take to drive 1500 kilometers if your average rate of speed was 100 kilometers per hour?
A) 1500 hr
B) 16 hr
C) 160 hr
D) 15 hr

Accepted Answer

We can use the distance formula, which is:

distance = rate x time

We know that distance is 1500 km and rate (or speed) is 100 km/h. Let's solve for time:

1500 = 100t

Divide both sides by 100:

t = 15

Therefore, it would take 15 hours to drive 1500 kilometers if the average rate of speed is 100 kilometers per hour. So, the answer is D. Using the distance formula:

distance = rate x time

We are given that the distance is 1500 kilometers and the rate is 100 kilometers per hour. We can plug these values into the formula and solve for the time:

1500 = 100t

t = 1500/100

t = 15

Therefore, it would take 15 hours to drive 1500 kilometers at an average rate of 100 kilometers per hour. The answer is D).

Question 14

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your
answer to the nearest hundredth.
- find h when V = 48 and B = 12.
A) h = 12
B) h = 0.75
C) h = 0.08
D) h = 0.33

Accepted Answer

The answer of Use the formula to find the value...

Question 15

Use the distance formula.
-A contestant in a 20-mile race finished in 5 hours. What was her average rate during the race? (Round to the nearest tenth, if necessary.)
A) 15 mph
B) 100 mph
C) 0.3 mph
D) 4.0 mph

Accepted Answer

The average rate is calculated by dividing the total distance by the total time. For this contestant, the average rate = 20 miles / 5 hours = 4.0 mph.

Question 16

Use geometry formulas to solve.
-A circular fountain has a radius of 42 ft. Determine the circumference of the fountain.
A) 263.76 ft
B) 65.94 ft
C) 131.88 ft
D) 5538.96 ft

Accepted Answer

The circumference of a circle is given by the formula $C = 2\pi r$, where $r$ is the radius. Substituting $r = 42$ ft, we get $C = 2 \times \pi \times 42 = 264$ (approximately). Thus, the closest answer is 263.76 ft.

Question 17

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your
answer to the nearest hundredth.
-A =  ; find b when A = 16 and h = 6.
A) b = 0.19
B) b = 48
C) b = 1.33
D) b = 5.33

Accepted Answer

The answer of Use the formula to find the value...

Question 18

Determine the area or volume as indicated. Use 3.14 for π when necessary.
- Find the volume.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Determine the area or volume as indicated....

Question 19

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your
answer to the nearest hundredth.
- find r when P = 1650, A = 2145, and t = 4.
A) r = 6930
B) r = 0.08
C) r = 99
D) r = 0.19

Accepted Answer

The answer of Use the formula to find the value...

Question 20

Determine the area or volume as indicated. Use 3.14 for π when necessary.
- Find the area.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Determine the area or volume as indicated....

Quiz 2: Solving Linear Equations and Inequalities

Determine the area or volume as indicated. Use 3.14 for π when necessary. - Find the area.

Determine the area or volume as indicated. Use 3.14 for π when necessary. - Find the volume. Round to the nearest hundredth.

Use the distance formula. -Chris rode his bike at an average speed of 13.2 miles per hour for 4 hours. How far did he bike?

Determine the area or volume as indicated. Use 3.14 for π when necessary. - Find the area.

Determine the area or volume as indicated. Use 3.14 for π when necessary. - Find the volume. Round to the nearest whole unit.

Solve for the indicated variable. -A

Determine the area or volume as indicated. Use 3.14 for π when necessary. - Find the area.

Determine the area or volume as indicated. Use 3.14 for π when necessary. - Find the volume.

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your answer to the nearest hundredth. -d = rt; find t when d = 560 and t = 8.

Use geometry formulas to solve. -Michael is shipping his mother's birthday gift to her in a rectangular box. If the gift's dimensions are 2 inches long by 5 inches wide by 9 inches high, find the volume of the smallest box that will hold the gift.

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your answer to the nearest hundredth. -P = 2l + 2w; find l when P = 24 and w = 4.

Use the distance formula. -Ashley drove home from school for Thanksgiving. She traveled 112 miles in 2 hours. What was her average speed?

Use the distance formula. -How long would it take to drive 1500 kilometers if your average rate of speed was 100 kilometers per hour?

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your answer to the nearest hundredth. - find h when V = 48 and B = 12.

Use the distance formula. -A contestant in a 20-mile race finished in 5 hours. What was her average rate during the race? (Round to the nearest tenth, if necessary.)

Use geometry formulas to solve. -A circular fountain has a radius of 42 ft. Determine the circumference of the fountain.

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your answer to the nearest hundredth. -A = ; find b when A = 16 and h = 6.

Determine the area or volume as indicated. Use 3.14 for π when necessary. - Find the volume.

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your answer to the nearest hundredth. - find r when P = 1650, A = 2145, and t = 4.

Determine the area or volume as indicated. Use 3.14 for π when necessary. - Find the area.