Question 1

Solve the problem.
-On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 46 feet. They then rose 11 feet. What was their elevation at this point?

Accepted Answer

Starting from an elevation of -46 feet and rising 11 feet would result in a new elevation of -46 + 11 = -35 feet. Therefore, the correct answer is option B: -35 ft. Starting at an elevation of -46 feet and rising 11 feet, we add 11 to -46 to get the new elevation of -35 feet. Therefore, the answer is choice B) -35 ft.

Question 2

Solve the problem.
-A plane is flying at a height of 15,776 feet above the surface of the ocean. The depth of the ocean directly below the plane is 18,872 feet. What is the distance between the plane and the floor of the ocean?

Accepted Answer

To find the distance between the plane and the ocean floor, add the height of the plane above the ocean to the depth of the ocean. 15,776 feet + 18,872 feet = 34,648 feet.

Question 3

Evaluate.
--1 - 7

Accepted Answer

When subtracting a negative number, it is the same as adding its positive value. So -1 - 7 becomes -1 + (-7) which equals -8. Therefore, the correct answer is A) -8. When subtracting a negative number from a positive number, you can think of it as adding the absolute value of the negative number. Therefore, -1 - 7 is the same as -1 + (-7), which equals -8. So the correct choice is A) -8.

Question 4

Solve the problem.
-The difference between a country's exports and imports is called the country's trade balance. In 1994, a country had $116 billion in exports and $136 billion in imports. What was the country's trade balance in 1994?

Accepted Answer

To find the trade balance, we need to subtract the imports from the exports:
$116 billion (exports) - $136 billion (imports) = -$20 billion

Since the imports are greater than the exports, the trade balance is negative, indicating a trade deficit of $20 billion. Therefore, the correct answer is C) -$20 billion. To find the trade balance, we need to subtract the value of imports from the value of exports. 
Trade balance = Exports - Imports
Substituting the given values, we get:
Trade balance = $116 billion - $136 billion
Trade balance = -$20 billion 
The negative sign indicates that the country had a trade deficit, meaning that it imported more than it exported. Therefore, the correct answer is option C) -$20 billion.

Question 5

Solve the problem.
-A football team gained 40 yards on one play, lost 38 yards on another, and gained 13 yards on the last play of the first half. They had already gained 256 yards during the half. What was the total yardage gain for the first
Half?

Accepted Answer

To find the total yardage gain for the first half, we need to add up the yardage gained and subtract the yardage lost.

Yardage gained:

40 yards + 13 yards = 53 yards

Yardage lost:

38 yards

Total yardage gained for the first half:

256 yards + 53 yards - 38 yards = 271 yards

Therefore, the answer is C) 271 yd. To find out the total yardage gain for the first half, we need to add up the yards gained and lost on each play.

40 yards gained - 38 yards lost + 13 yards gained = 15 yards gained on the plays given

Then, to find the total yardage gain for the entire first half, we add this 15 yards to the 256 yards already gained:

15 yards + 256 yards = 271 yards

Therefore, the best choice is C.

Question 6

Solve the problem.
-A deep-sea diver dives from the surface to 82 feet below the surface. She then dives down 24 more feet. Find the diver's depth.

Accepted Answer

The diver initially dives to a depth of 82 feet below the surface, and then goes down an additional 24 feet. To find the total depth, we add these two depths together:

82 + 24 = 106

Therefore, the diver's depth is 106 feet below the surface. The answer is D.

Question 7

Solve the problem.
-A bike road race starts at an elevation of 550 feet and passes through 5 stages where the elevation changes by 152 feet, -454 feet, -89 feet, -347 feet, and 100 feet. At what elevation does the race end?

Accepted Answer

The answer of Solve the problem.
-A bike road race starts...

Question 8

Solve the problem.
-During one year 21 new employees began work at Daniel's Manufacturing Company and 29 employees left. At the beginning of the year there were 206 employees. What was the number of employees at the end of the year?

Accepted Answer

At the beginning of the year, there were 206 employees. Throughout the year, 21 new employees were added, and 29 employees left. So, the calculation for the end of the year is 206 + 21 - 29 = 198 employees.

Question 9

Solve the problem.
-At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -17° C. At the end of the experiment, it had risen 44° C. What was the liquid's temperature at the end of the experiment?

Accepted Answer

The liquid's temperature at the end of the experiment was -17° C + 44° C = 27° C.

Question 10

Solve the problem.
-Nikki is fishing from a bank 35 feet above water level. In this location, the fish tend to feed at 42 feet below the surface. How long must Nikki's fish line be to reach the fish?

Accepted Answer

To reach the fish, Nikki's fish line must be the distance from the bank to the surface of the water plus the distance from the surface to where the fish are feeding. This is 35 feet + 42 feet = 77 feet, so the answer is (A) 77 ft. The negative choices (C) and (D) can be eliminated because they don't make sense in the context of the problem, and (B) is too short to reach the fish. The total length of the fish line needed is the distance from the bank to the surface of the water (35 feet) plus the depth at which the fish are feeding (42 feet). Therefore, the total length of the fish line needed is 35 + 42 = 77 feet. So, the correct answer is choice A, 77 ft.

Question 11

Add.
--124.69 + 41.44

Accepted Answer

-124.69 + 41.44 = -83.25. Therefore, the answer is D.

Question 12

Solve the problem.
-The stock market gained 7 points on Tuesday and lost 22 points on Wednesday. It had closed on Monday at 2604 points. Where did the market close on Wednesday?

Accepted Answer

The market closed at 2604 points on Monday, gained 7 points on Tuesday making it 2611 points, and then lost 22 points on Wednesday, closing at 2589 points.

Question 13

Solve the problem.
-The temperature at 5:00 was -7°C. Four hours later, it was -8°C. What was the change in temperature?

Accepted Answer

The change in temperature is calculated by subtracting the later temperature from the earlier temperature. So, -8°C - (-7°C) = -8°C + 7°C = -1°C. The correct choice is D, which represents -1°C. The change in temperature is calculated by subtracting the later temperature from the earlier temperature. In this case, -8°C - (-7°C) = -1°C. Therefore, the answer is D) -1°C.

Question 14

Add.
--143.21 + (-20.68)

Accepted Answer

When adding two negative numbers, we add their absolute values and put a negative sign in front. 
So, |-143.21| + |-20.68| = 143.21 + 20.68 = 163.89
Putting a negative sign in front gives us -163.89, which corresponds to choice letter D.

Question 15

Solve the problem.
-Sean has $258 in his savings account. After he withdraws $67, what will his balance be?

Accepted Answer

Subtracting $67 from $258 gives us $191, which will be Sean's new balance. Therefore, the answer is choice A) $191. To find Sean's new balance after the withdrawal, we subtract the withdrawal amount from his original balance:

$258 - $67 = $191

Therefore, the correct answer is A) $191.

Question 16

Solve the problem.
-Mr Lu Yi owed $42 on his bank credit card. He charged another item costing $26 . Find the amount that Lu Yi owed the bank.

Accepted Answer

Lu Yi initially owed $42 and charged an additional $26, so the total amount owed is $42 + $26 = $68.

Question 17

Evaluate.
-15 - 5

Accepted Answer

Subtracting 5 from 15 results in 10. Therefore, choice C is the correct answer. To evaluate 15 - 5, we simply subtract 5 from 15. So, 15 - 5 equals 10. Therefore, the correct choice is C.

Question 18

Solve the problem.
-A corporation's bank account has $6427 in it when the treasurer writes checks for $4170, $1480, and $1504. Then deposits of $4490 and $129 are made. How much is in the account? Is it overdrawn?

Accepted Answer

The initial amount is $6427. Subtract the total of the checks written ($4170 + $1480 + $1504 = $7154) and then add the deposits ($4490 + $129 = $4619). The final amount is $6427 - $7154 + $4619 = $3892, which is not overdrawn.

Question 19

Add.
--2.900 + 10.620

Accepted Answer

When you add -2.900 to 10.620, you get 7.720. This is because adding a negative number is the same as subtracting its absolute value, so 10.620 - 2.900 = 7.720.

Question 20

Evaluate.
-10 - (+ 14)

Accepted Answer

When we add a positive number to a negative number, we subtract it. Therefore, 10 - (+14) is equivalent to 10 - 14, which equals -4. When we have a negative sign in front of a parenthesis, it means that we need to change the sign of every term inside the parenthesis. In this case, we have a positive 14 inside the parenthesis, so changing its sign gives us -14. Then we simply subtract -14 from 10, giving us a final answer of -4.

Quiz 1: Real Numbers

Solve the problem. -On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 46 feet. They then rose 11 feet. What was their elevation at this point?

Solve the problem. -A plane is flying at a height of 15,776 feet above the surface of the ocean. The depth of the ocean directly below the plane is 18,872 feet. What is the distance between the plane and the floor of the ocean?

Evaluate. --1 - 7

Solve the problem. -The difference between a country's exports and imports is called the country's trade balance. In 1994, a country had $116 billion in exports and $136 billion in imports. What was the country's trade balance in 1994?

Solve the problem. -A football team gained 40 yards on one play, lost 38 yards on another, and gained 13 yards on the last play of the first half. They had already gained 256 yards during the half. What was the total yardage gain for the first Half?

Solve the problem. -A deep-sea diver dives from the surface to 82 feet below the surface. She then dives down 24 more feet. Find the diver's depth.

Solve the problem. -A bike road race starts at an elevation of 550 feet and passes through 5 stages where the elevation changes by 152 feet, -454 feet, -89 feet, -347 feet, and 100 feet. At what elevation does the race end?

Solve the problem. -During one year 21 new employees began work at Daniel's Manufacturing Company and 29 employees left. At the beginning of the year there were 206 employees. What was the number of employees at the end of the year?

Solve the problem. -At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -17° C. At the end of the experiment, it had risen 44° C. What was the liquid's temperature at the end of the experiment?

Solve the problem. -Nikki is fishing from a bank 35 feet above water level. In this location, the fish tend to feed at 42 feet below the surface. How long must Nikki's fish line be to reach the fish?

Add. --124.69 + 41.44

Solve the problem. -The stock market gained 7 points on Tuesday and lost 22 points on Wednesday. It had closed on Monday at 2604 points. Where did the market close on Wednesday?

Solve the problem. -The temperature at 5:00 was -7°C. Four hours later, it was -8°C. What was the change in temperature?

Add. --143.21 + (-20.68)

Solve the problem. -Sean has $258 in his savings account. After he withdraws $67, what will his balance be?

Solve the problem. -Mr Lu Yi owed $42 on his bank credit card. He charged another item costing $26 . Find the amount that Lu Yi owed the bank.

Evaluate. -15 - 5

Solve the problem. -A corporation's bank account has $6427 in it when the treasurer writes checks for $4170, $1480, and $1504. Then deposits of $4490 and $129 are made. How much is in the account? Is it overdrawn?

Add. --2.900 + 10.620

Evaluate. -10 - (+ 14)