Question 1

Evaluate the expression.
--133 ÷ -7

Accepted Answer

When dividing two negative numbers, the result is positive. -133 ÷ -7 = 19.

Question 2

Solve the problem.
-Your bank account has $97 in it when you write checks for $41, $45, and $21. You then deposit $53 And $35. How much is in the account? Are you overdrawn?

Accepted Answer

After writing checks for $41, $45, and $21, the account balance is $97 - $41 - $45 - $21 = -$10. After depositing $53 and $35, the balance becomes -$10 + $53 + $35 = $78. The account is not overdrawn.

Question 3

Evaluate the expression.
-135/(-5)

Accepted Answer

When you divide 135 by -5, you get -27.

Question 4

Solve the problem.
-A bike road race starts at an elevation of 830 feet and passes through 5 stages where the elevation Changes by 185 feet, -270 feet, 584 feet, -134 feet, and 568 feet. At what elevation does the race End?

Accepted Answer

The final elevation is calculated by starting with the initial elevation and adding each of the elevation changes in sequence: 830 + 185 - 270 + 584 - 134 + 568 = 1763 feet.

Question 5

Solve the problem.
-During one year 19 new employees began work at Danielʹs Manufacturing Company and 29 Employees left. At the beginning of the year there were 386 employees. What was the number of Employees at the end of the year?

Accepted Answer

At the beginning of the year, there were 386 employees. Throughout the year, 19 new employees were added, and 29 employees left. So, the net change in employees is 19 - 29 = -10. Therefore, at the end of the year, the total number of employees was 386 - 10 = 376 employees.

Question 6

Evaluate the expression.
-[6 ÷ (-2)](-3)

Accepted Answer

First, divide 6 by -2 to get -3. Then, multiply -3 by -3 to get 9.

Question 7

Solve the problem.
-The temperature at the South pole was -24° at 8 am. At 3 pm, it was 37°. By how many degrees did The temperature rise?

Accepted Answer

The temperature rose from -24° to 37°, which is a difference of 37 - (-24) = 37 + 24 = 61°.

Question 8

Evaluate the expression.
-$$54 \div ( - 3 )$$

Accepted Answer

Dividing 54 by -3 gives -18, as division by a negative number flips the sign of the result.

Question 9

Provide an appropriate response.
-Every integer is a whole number.

Accepted Answer

The answer of Provide an appropriate response.
-Every integer is a...

Question 10

Evaluate the expression.
-[(-6)(-4)] - 18

Accepted Answer

The expression [(-6)(-4)] - 18 simplifies to 24 - 18, which equals 6.

Question 11

Evaluate the expression.
-$( - 78 ) / 6$

Accepted Answer

When you divide -78 by 6, you get -13.

Question 12

Solve the problem.
-In four rounds of a card game, you get scores of -7, -9, 8, and 1. What is your final score?

Accepted Answer

To find the final score, add the scores from all four rounds: -7 + (-9) + 8 + 1 = -7.

Question 13

Evaluate the expression.
-$$- 66 / - 3$$

Accepted Answer

When dividing two negative numbers, the result is positive. Therefore, $-66 / -3 = 22$.

Question 14

Solve the problem.
-A football team gained 21 yards on one play, lost 30 yards on another, and gained 40 yards on the Last play of the first half. They had already gained 212 yards during the half. What was the total Yardage gain for the first half?

Accepted Answer

The answer of Solve the problem.
-A football team gained 21...

Question 15

Solve the problem.
-The stock market gained 9 points on Tuesday and lost 56 points on Wednesday. It had closed on Monday at 2512 points. Where did the market close on Wednesday?

Accepted Answer

The answer of Solve the problem.
-The stock market gained 9...

Question 16

Solve the problem.
-A corporationʹs bank account has $9681 in it when the treasurer writes checks for $117, $2276, and $659. Then deposits of $5170 and $2498 are made. How much is in the account? Is it overdrawn?

Accepted Answer

The total amount of checks written is $117 + $2276 + $659 = $3052. The total amount of deposits made is $5170 + $2498 = $7668. The net change in the account is $7668 - $3052 = $4616. The new balance in the account is $9681 + $4616 = $14,297. Therefore, the correct answer is B) $14,297, no.

Question 17

Solve the problem.
-Nikki is fishing from a bank 43 feet above water level. In this location, the fish tend to feed at 44 Feet below the surface. How long must Nikkiʹs fish line be to reach the fish?

Accepted Answer

To reach the fish, Nikki's line must extend from 43 feet above water to 44 feet below the surface. Adding these distances gives 43 + 44 = 87 feet.

Question 18

Evaluate the expression.
-$$( - 675 ) \div 75$$

Accepted Answer

When dividing -675 by 75, the result is -9 because the negative sign indicates the quotient is negative, and 675 divided by 75 equals 9.

Question 19

Evaluate the expression.
-$$( - 384 ) / 96$$

Accepted Answer

Dividing -384 by 96 gives -4.

Question 20

Solve the problem.
-In a certain location, the highest temperature recorded was 101°F. The lowest temperature Recorded was 138 degrees less than the highest. What was the lowest temperature?

Accepted Answer

The lowest temperature is 138 degrees less than the highest temperature of 101°F. Therefore, the lowest temperature is 101°F - 138°F = -37°F.

Quiz 5: Number Theory and the Real Number System

Evaluate the expression. --133 ÷ -7

Solve the problem. -Your bank account has $97 in it when you write checks for $41, $45, and $21. You then deposit $53 And $35. How much is in the account? Are you overdrawn?

Evaluate the expression. -135/(-5)

Solve the problem. -A bike road race starts at an elevation of 830 feet and passes through 5 stages where the elevation Changes by 185 feet, -270 feet, 584 feet, -134 feet, and 568 feet. At what elevation does the race End?

Solve the problem. -During one year 19 new employees began work at Danielʹs Manufacturing Company and 29 Employees left. At the beginning of the year there were 386 employees. What was the number of Employees at the end of the year?

Evaluate the expression. -[6 ÷ (-2) ](-3)

Solve the problem. -The temperature at the South pole was -24° at 8 am. At 3 pm, it was 37°. By how many degrees did The temperature rise?

Evaluate the expression. - $54 \div ( - 3 )$

Provide an appropriate response. -Every integer is a whole number.

Evaluate the expression. -[(-6) (-4) ] - 18

Evaluate the expression. - $( - 78 ) / 6$

Solve the problem. -In four rounds of a card game, you get scores of -7, -9, 8, and 1. What is your final score?

Evaluate the expression. - $- 66 / - 3$

Solve the problem. -A football team gained 21 yards on one play, lost 30 yards on another, and gained 40 yards on the Last play of the first half. They had already gained 212 yards during the half. What was the total Yardage gain for the first half?

Solve the problem. -The stock market gained 9 points on Tuesday and lost 56 points on Wednesday. It had closed on Monday at 2512 points. Where did the market close on Wednesday?

Solve the problem. -A corporationʹs bank account has $9681 in it when the treasurer writes checks for $117, $2276, and $659. Then deposits of $5170 and $2498 are made. How much is in the account? Is it overdrawn?

Solve the problem. -Nikki is fishing from a bank 43 feet above water level. In this location, the fish tend to feed at 44 Feet below the surface. How long must Nikkiʹs fish line be to reach the fish?

Evaluate the expression. - $( - 675 ) \div 75$

Evaluate the expression. - $( - 384 ) / 96$

Solve the problem. -In a certain location, the highest temperature recorded was 101°F. The lowest temperature Recorded was 138 degrees less than the highest. What was the lowest temperature?