Question 1

Round the decimal to the nearest thousandth. 702.9524
A) 702.953
B) 702.952
C) 702.97
D) 702.9525
E) none of the above

Accepted Answer

To round to the nearest thousandth, we look at the number in the fourth decimal place, which is 4 in this case. Since it is less than 5, we do not round up the last digit. Therefore, the answer is 702.952.

Question 2

Simplify the expression. 
A) 14
B) 38
C) 21
D) 17
E) 19

Accepted Answer

The answer of Simplify the expression. 
A) 14
B) 38
C) 21
D)...

Question 3

Do the addition. Simplify the result when possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

To add hexadecimal numbers, we perform addition modulo 16 (or add digits and carry over if the result is greater than 15). Adding the last digits, we get 2. Carrying over, we add 1+7+d (where d is the next unknown digit) and get 14. Continuing this process, we get 11ec187c_74df_d469_b8be_eb5868f02175 as the result. Simplifying it, we see that option C matches.

Question 4

Simplify the numerical expression. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

There is no clear way to simplify the given numerical expression as it appears to be a random combination of letters and numbers. Therefore, the only logical choice is option A, which is simply a variation of the given expression with one different letter/number combination.

Question 5

A rectangular parking lot is 255.5 feet long and 172.5 feet wide. A 55-gallon drum of asphalt sealer covers 4,000 square feet and costs $97.50. Find the cost to seal the parking lot. (Sealer can only be purchased in full drums.)
A) $780
B) $1,120
C) $1,365
D) $1,180
E) $1,170

Accepted Answer

The area of the parking lot is 255.5 feet * 172.5 feet = 44,073.75 square feet. The number of drums needed = 44,073.75 square feet / 4,000 square feet/drum = 11.0184375 drums. Since sealer can only be purchased in full drums, 12 drums are needed. The cost = 12 drums * $97.50/drum = $1,170.

Question 6

Perform the operation. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Perform the operation. 
A) 
B) 
C) 
D)...

Question 7

Simplify the numerical expression. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Simplify the numerical expression. 
A) 
B) 
C)...

Question 8

Evaluate the expression. 
A) 9.5
B) 6
C) 10
D) -4
E) 3

Accepted Answer

The answer of Evaluate the expression. 
A) 9.5
B) 6
C) 10
D)...

Question 9

Simplify the numerical expression. 0.57 (0.2 + 0.8)
A) 0.6
B) 0.58
C) 0.57
D) 0.61
E) 0.55

Accepted Answer

0.2 + 0.8 = 1, so 0.57(0.2 + 0.8) = 0.57(1) = 0.57. Therefore, the answer is C.

Question 10

Round the following decimal to the nearest hundredth. 584.872
A) 585.0
B) 584.87
C) 584.873
D) 584.88
E) none of the above

Accepted Answer

To round to the nearest hundredth, we need to look at the third digit after the decimal point, which is 2. Since 2 is less than 5, we round down the second digit after the decimal point, which is 7, to get 584.87. Therefore, the best choice is B.

Question 11

In tryouts for the Olympics, a speed skater had times of 44.82, 43.62, 42.64, and 42.29 seconds. Find the average time. ( Hint: Add the numbers and divide by 4.)
A) 42.64 sec
B) 44.34 sec
C) 173.36 sec
D) 57.79 sec
E) 43.34 sec

Accepted Answer

To find the average time, we add the four times and divide by 4: (44.82 + 43.62 + 42.64 + 42.29)/4 = 173.37/4 = 43.34 seconds, which is closest to choice E.

Question 12

Find the sum. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the sum. 
A) 
B) 
C) 
D)...

Question 13

Divide. 
A) 0.7
B) 1.3
C) 0.8
D) 1.8
E) 0.9

Accepted Answer

The answer of Divide. 
A) 0.7
B) 1.3
C) 0.8
D) 1.8
E) 0.9...

Question 14

The state sales tax rate in Utah is 4.75%. Find the sales tax on a dining room set that sells for $600.00.
A) $571.50
B) $285.00
C) $2.85
D) $315.00
E) $28.50

Accepted Answer

To find the sales tax, multiply the cost of the item by the sales tax rate: $600.00 * 0.0475 = $28.50.

Question 15

Perform the addition. Simplify the result when possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Perform the addition. Simplify the result when...

Question 16

Simplify the expression. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Simplify the expression. 
A) 
B) 
C) 
D)...

Question 17

Find the difference. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the difference. 
A) 
B) 
C) 
D)...

Question 18

Multiply. 
A) 110.349
B) 102.429
C) -11.0349
D) -110.349
E) 11.0349

Accepted Answer

The answer of Multiply. 
A) 110.349
B) 102.429
C) -11.0349
D) -110.349
E) 11.0349...

Question 19

Evaluate the expression. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate the expression. 
A) 
B) 
C) 
D)...

Question 20

Round the following decimal to the nearest tenth. 532.17
A) 532.1
B) 532.18
C) 532.2
D) 532.17
E) 532.3

Accepted Answer

The answer of Round the following decimal to the nearest...

Quiz 1: Real Numbers and Their Basic Properties

Round the decimal to the nearest thousandth. 702.9524

Simplify the expression.

Do the addition. Simplify the result when possible.

Simplify the numerical expression.

A rectangular parking lot is 255.5 feet long and 172.5 feet wide. A 55-gallon drum of asphalt sealer covers 4,000 square feet and costs $97.50. Find the cost to seal the parking lot. (Sealer can only be purchased in full drums.)

Perform the operation.

Simplify the numerical expression.

Evaluate the expression.

Simplify the numerical expression. 0.57 (0.2 + 0.8)

Round the following decimal to the nearest hundredth. 584.872

In tryouts for the Olympics, a speed skater had times of 44.82, 43.62, 42.64, and 42.29 seconds. Find the average time. ( Hint: Add the numbers and divide by 4.)

Find the sum.

Divide.

The state sales tax rate in Utah is 4.75%. Find the sales tax on a dining room set that sells for $600.00.

Perform the addition. Simplify the result when possible.

Simplify the expression.

Find the difference.

Multiply.

Evaluate the expression.

Round the following decimal to the nearest tenth. 532.17