Question 1

Perform the indicated operations. -120 ÷ 5 + 3
A)21
B)-21
C)15
D)-15

Accepted Answer

First, divide -120 by 5 to get -24, then add 3 to get -21.

Question 2

Divide. 48 ÷ 6

Accepted Answer

The answer of Divide. 48 ÷ 6...

Question 3

Convert the improper fraction to a mixed number.

Accepted Answer

The answer of Convert the improper fraction to a mixed...

Question 4

Subtract. 15 - (-13)
A)28
B)-2
C)2
D)-28

Accepted Answer

Subtracting a negative number is the same as adding its positive counterpart, so 15 - (-13) = 15 + 13 = 28.

Question 5

Perform the indicated operations. -5[5 + (-17)- (-1)]
A)65
B)55
C)-43
D)-41

Accepted Answer

-5[5 + (-17) -(-1)] 
= -5[5 + (-17) + 1] 
= -5[-11] 
= 55

Question 6

Convert the mixed number to an improper fraction. 1

Accepted Answer

The answer of Convert the mixed number to an improper...

Question 7

Perform the indicated operations.

Accepted Answer

The answer of Perform the indicated operations. ...

Question 8

Convert the improper fraction to a mixed number. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Convert the improper fraction to a mixed...

Question 9

Perform the indicated operations. (82 - 60)+ [(-3 × 4)- 36 ÷ 4]
A)10
B)25
C)19
D)1

Accepted Answer

The expression simplifies to (22) + [(-12) - 9], which equals 22 - 21, resulting in 1.

Question 10

Convert the mixed number to an improper fraction. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Convert the mixed number to an improper...

Question 11

Multiply. (-11)(-7)

Accepted Answer

The answer of Multiply. (-11)(-7)...

Question 12

A large grocery store had 362 cases of canned vegetables in the storeroom. During the past month
The store removed 67 cases, 75 cases, 71 cases, and 84 cases among 362 cases from the shelves.
Also the store received two lots of 90 cases each. How many cases are in the storeroom now?
A)479 cases
B)569 cases
C)155 cases
D)245 cases

Accepted Answer

The store started with 362 cases, removed a total of 297 cases (67+75+71+84), and received 180 cases (90+90). The calculation is 362 - 297 + 180 = 245 cases.

Question 13

Multiply and reduce the answer to lowest terms.

Accepted Answer

The answer of Multiply and reduce the answer to lowest...

Question 14

A new company makes a profit of $27,480 in the first year. The owner wants to keep $10,000 of that
For herself, then divide the remainder among two salespeople and three associates. Write an order of
Operations problem based on this situation. How much will each salesperson and associate get?
A)(27,480 - 10,000)÷ 2 + 3; $8,743
B)27,480 - 10,000 ÷ 2 + 3; $22,483
C)(27,480 - 10,000)÷ (2 + 3); $3,496
D)27,480 - 10,000 ÷ (2 + 3); $25,480

Accepted Answer

First, the owner keeps $10,000, so we subtract that from the total profit, resulting in $17,480. This amount is then divided among 5 people (2 salespeople + 3 associates), so we divide by 5, which equals $3,496 per person.

Question 15

Reduce the fraction to lowest terms.

Accepted Answer

The answer of Reduce the fraction to lowest terms. ...

Question 16

Reduce the fraction to the lowest terms. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Reduce the fraction to the lowest terms....

Question 17

A food bank sends a truck with 400 pounds of food to each of five local food pantries every week,
And receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000
Pounds of food on hand at the beginning of July, how much will it have six weeks later?
A)20,600 pounds
B)4,200 pounds
C)10,600 pounds
D)20,200 pounds

Accepted Answer

In one week, the food bank sends out 400 pounds of food to each of the five local food pantries, for a total of 2,000 pounds sent out each week.

In two weeks, the food bank receives a shipment of 3,200 pounds, which is added to the 8,000 pounds that remain on hand from the previous week (10,000 - 2,000 = 8,000). This gives a total of 11,200 pounds on hand after two weeks.

After three weeks, the food bank again sends out 2,000 pounds, leaving a total of 9,200 pounds.

In the fourth week, the food bank receives another 3,200 pounds, bringing the total to 12,400 pounds.

In the fifth week, the food bank sends out another 2,000 pounds, leaving a total of 10,400 pounds.

Finally, in the sixth week, the food bank receives another 3,200 pounds, for a final total of 13,600 pounds. Each week, 5 food pantries receive 400 pounds of food, which means the food bank is distributing 5*400 = 2,000 pounds of food per week.

Every other week, the food bank receives a shipment of 3,200 pounds of food, which means it receives 3,200/2 = 1,600 pounds of food per week.

So, the food bank is distributing 2,000 pounds of food per week and receiving 1,600 pounds of food per week, for a net decrease of 400 pounds of food per week.

In six weeks, the food bank will have a net decrease of 6*400 = 2,400 pounds of food.

Starting with 10,000 pounds of food, the food bank will have 10,000 - 2,400 = 7,600 pounds of food six weeks later.

However, this is not one of the answer choices.

To find the closest answer choice, we can round the result to the nearest hundred.

So, the food bank will have approximately 7,600 pounds of food, which rounds to 7,600 to the nearest hundred.

Adding this to the amount of food received from the government surplus (3,200 pounds every other week for 6 weeks is equivalent to 9,600 pounds), the food bank will have a total of

7,600 + 9,600 = 17,200 pounds of food six weeks later.

The closest answer choice to this amount is C: 10,600 pounds.

Question 18

The 30-year average snowfall in Coldsville, USA is approximately 16 inches per year. As of
January 10, Coldsville received approximately 6 inches. How much more snow will Coldsville
Receive if this is an average year?
A)10 inches
B)22 inches
C)24 inches
D)14 inches

Accepted Answer

If the average annual snowfall is 16 inches and Coldsville has already received 6 inches, it needs 10 more inches to reach the average (16 - 6 = 10).

Question 19

List the numbers from the following set which are rational numbers.

Accepted Answer

The answer of List the numbers from the following set...

Question 20

Divide. -55 ÷ (-55)
A)0
B)-55
C)1
D)-1

Accepted Answer

When a number is divided by itself, the result is always 1. Therefore, -55 ÷ (-55) equals 1. Dividing any number by itself equals 1, so -55 divided by -55 equals 1.

Quiz 5: The Real Number System

Perform the indicated operations. -120 ÷ 5 + 3

Divide. 48 ÷ 6

Convert the improper fraction to a mixed number. $Convert the improper fraction to a mixed number.$

Subtract. 15 - (-13)

Perform the indicated operations. -5[5 + (-17) - (-1) ]

Convert the mixed number to an improper fraction. 1 $Convert the mixed number to an improper fraction. 1$

Perform the indicated operations.

Convert the improper fraction to a mixed number. $Convert the improper fraction to a mixed number. A) B) C) D)$

Perform the indicated operations. (82 - 60) + [(-3 × 4) - 36 ÷ 4]

Convert the mixed number to an improper fraction. $Convert the mixed number to an improper fraction. A) B) C) D)$

Multiply. (-11)(-7)

A large grocery store had 362 cases of canned vegetables in the storeroom. During the past month The store removed 67 cases, 75 cases, 71 cases, and 84 cases among 362 cases from the shelves. Also the store received two lots of 90 cases each. How many cases are in the storeroom now?

Multiply and reduce the answer to lowest terms.

A new company makes a profit of $27,480 in the first year. The owner wants to keep $10,000 of that For herself, then divide the remainder among two salespeople and three associates. Write an order of Operations problem based on this situation. How much will each salesperson and associate get?

Reduce the fraction to lowest terms. $Reduce the fraction to lowest terms.$

Reduce the fraction to the lowest terms. $Reduce the fraction to the lowest terms. A) B) C) D)$

A food bank sends a truck with 400 pounds of food to each of five local food pantries every week, And receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000 Pounds of food on hand at the beginning of July, how much will it have six weeks later?

The 30-year average snowfall in Coldsville, USA is approximately 16 inches per year. As of January 10, Coldsville received approximately 6 inches. How much more snow will Coldsville Receive if this is an average year?

List the numbers from the following set which are rational numbers.

Divide. -55 ÷ (-55)