Question 1

Find the product.
-(8)(8)
A) 64
B) 640
C) 54
D) 56

Accepted Answer

When you multiply 8 by 8, you get 64. Therefore, A is the correct choice. When multiplying two integers with the same value, like 8 and 8, you simply multiply the values together to get the product. 8 x 8 = 64, so the correct answer is choice A.

Question 2

Solve the problem.
-Niyas drives home to visit his parents, a distance of 876.47 km. He spends the week at his parents' house and the next weekend sets off to drive home. After traveling a distance of 44.89 km, his car breaks down. Assuming
That he is taking the same route for the return journey, how much further does he still have to travel to get
Home?
A) 876.47 km
B) 921.36 km
C) 832.47 km
D) 831.58 km

Accepted Answer

Niyas traveled a distance of 44.89 km before his car broke down on his way back home. Therefore, he still has to travel the remaining distance to get home, which is 876.47 km - 44.89 km = 831.58 km. Therefore, the correct answer is D) 831.58 km. Since Niyas is taking the same route for the return journey, the distance left to travel home would be the distance remaining from the point where his car broke down to his home. This would be 876.47 km - 44.89 km = 831.58 km. Therefore, the correct answer is D.

Question 3

Find the product.
--4(0)
A) -8
B) -4
C) 0
D) 4

Accepted Answer

Any number multiplied by 0 equals 0. Therefore, the product of -4 and 0 is 0. Any number multiplied by zero is always zero. Therefore, -4(0) = 0.

Question 4

Solve the problem.
-An online bookstore had 392 copies of a certain book in stock on January 1st. By January 10th, the store has taken orders for 655 copies of the book. How many copies were on back order?
A) -263
B) 163
C) 1047
D) 263

Accepted Answer

To find the number of copies on back order, we need to find the difference between the number of copies ordered and the number of copies in stock.
Back order = Number of copies ordered - Number of copies in stock
Back order = 655 - 392
Back order = 263
Therefore, the answer is D) 263. Back order is the difference between the orders taken and the stock available. Therefore, back order = orders taken - stock available. Substituting the given values, we get back order = 655 - 392 = 263. Therefore, the answer is choice D.

Question 5

Find the product.
-(11)(-8)
A) -188
B) -99
C) -880
D) -88

Accepted Answer

The product of 11 and -8 is -88. Multiplying a positive number by a negative number results in a negative product.

Question 6

Solve the problem.
-Raya has $154 in her checking account. She writes a check for $33, makes a deposit for $111, and then writes another check for $72. Find the amount left in her account. (Write the amount as an integer.)
A) -62 dollars
B) -160 dollars
C) 62 dollars
D) 160 dollars

Accepted Answer

The answer of Solve the problem.
-Raya has $154 in her...

Question 7

Solve the problem.
-A store has  pounds of short grain rice in stock at the beginning of the day and sells  pounds during the course of the day. How many pounds of short grain rice remain at the end of the day?
A) 
B) 9 lb
C) 
D)

Accepted Answer

The answer of Solve the problem.
-A store has  pounds...

Question 8

Solve the problem.
-In a card game, it is possible to have a negative score. If Anna's score is 21, what is her new score if she loses 31 points?
A) 52 points
B) -10 points
C) 10 points
D) -52 points

Accepted Answer

Anna's new score after losing 31 points from 21 is 21 - 31 = -10 points.

Question 9

Find the product.
-(-16)(-16)
A) -256
B) 272
C) -272
D) 256

Accepted Answer

When two negative numbers are multiplied together, the result is positive. So, (-16)(-16) = 256. Therefore, the answer is D. When multiplying two negative numbers, the result is always positive. Therefore, (-16)(-16) equals 256. The correct choice is D.

Question 10

Solve the problem.
-A plane is flying at a height of 15,441 feet above the surface of the ocean. The depth of the ocean directly below the plane is 19,573 feet. What is the vertical distance between the plane and the floor of the ocean?
A) 4132 ft
B) 35,114 ft
C) 35,014 ft
D) 4232 ft

Accepted Answer

The vertical distance between the plane and the ocean floor is simply the difference between the height of the plane and the depth of the ocean directly below it. 
Vertical distance = height of plane - depth of ocean 
Vertical distance = 15,441 ft - 19,573 ft 
Vertical distance = -4,132 ft 
Since we want the distance to be positive, we take the absolute value: 
Vertical distance = 4,132 ft 
Therefore, the best choice is C, or 35,014 ft (which is the absolute value of the vertical distance in feet, rounded to the nearest whole number).

Question 11

Find the product.
-7(-1)(3)
A) -11
B) -21
C) 21
D) -42

Accepted Answer

The product of 7, -1, and 3 is calculated as follows: 7 * (-1) * 3 = -7 * 3 = -21.

Question 12

Find the difference using your calculator.
-Subtract 41.18 from - 111.89
A) -70.71
B) 153.07
C) 70.71
D) -153.07

Accepted Answer

To subtract a number from a negative number, we add the absolute value of the first number to the second number and give the result a negative sign. So, |-111.89| + 41.18 = 70.71. The answer is -70.71 because we need to give the result a negative sign since we subtracted from a negative number. Therefore, the correct choice is D. To subtract 41.18 from -111.89, we need to add the opposite of 41.18 to -111.89. The opposite of 41.18 is -41.18. So, -111.89 + (-41.18) = -153.07. Thus, the difference between the two numbers is -153.07, which corresponds to choice D.

Question 13

Solve the problem.
-The temperature at 5:00 was -6°C. Four hours later, it was -13°C. What was the change in temperature?
A) 7°C
B) -7°C
C) 19°C
D) -19°C

Accepted Answer

To find the change in temperature, we need to subtract the initial temperature from the final temperature: (-13°C) - (-6°C) = -7°C. Therefore, the change in temperature was -7°C.

Question 14

Find the product.
-(-5)(-1)
A) 15
B) 10
C) 5
D) -5

Accepted Answer

The product of two negative numbers is positive, so (-5)(-1) = 5.

Question 15

Solve the problem.
-At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -16°C. At the end of the experiment, it had risen 29°C. What was the liquid's temperature at the end of the experiment?
A) -13°C
B) -45°C
C) 13°C
D) 45°C

Accepted Answer

To find the final temperature, we need to add the change in temperature (29°C) to the initial temperature (-16°C). 
-16°C + 29°C = 13°C 
Therefore, the liquid's temperature at the end of the experiment was 13°C. To find the final temperature of the liquid, we need to add the temperature rise (29°C) to the initial temperature (-16°C):
-16°C + 29°C = 13°C
Therefore, the liquid's temperature at the end of the experiment was 13°C.

Question 16

Solve the problem.
-Daniel is  in. tall and his brother Tyler is  in. tall. How much taller is Daniel?
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the problem.
-Daniel is  in. tall...

Question 17

Solve the problem.
-The temperature on a March morning is -9°F at 4a.m. If the temperature drops 3° by 5 a.m., rises 2° by 6 a.m., and then drops 9° by 7a.m., find the temperature at 7 a.m.
A) 23°F
B) 19°F
C) -23°F
D) -19°F

Accepted Answer

The temperature at 5 a.m. is -12°F (dropped 3° from -9°F). 
The temperature at 6 a.m. is -10°F (rose 2° from -12°F). 
The temperature at 7 a.m. is -19°F (dropped 9° from -10°F). Therefore, the answer is D) -19°F.

Question 18

Find the product.
--1.8(-20)
A) 36
B) 21.8
C) -21.8
D) -18.2

Accepted Answer

The product of -1.8 and -20 is 36 because multiplying two negative numbers results in a positive number.

Question 19

Find the product.
-(-11)(12)
A) 121
B) -121
C) -132
D) -144

Accepted Answer

To find the product of two numbers with different signs, we multiply their absolute values and give the product a negative sign. So, |-11| = 11 and |12| = 12, and 11 x 12 = 132. Since the signs of the numbers are different, the product is negative, so the answer is -132, which corresponds to choice C. To find the product of two numbers, you simply multiply them together. (-11)(12) = -132. Therefore, the correct answer is choice C).

Question 20

Solve the problem.
-On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 51 feet. They then rose 23 feet. What was their elevation at this point?
A) 28 ft
B) -74 ft
C) -28 ft
D) 74 ft

Accepted Answer

Starting elevation is -51 feet. After rising 23 feet, the elevation will be -51 + 23 = -28 feet. Therefore, the correct choice is C) -28 ft. Starting elevation = -51 ft 
Rising elevation = 23 ft 
Total elevation = -51 ft + 23 ft = -28 ft

Therefore, the answer is C) -28 ft.

Quiz 1: Real Numbers

Find the product. -(8) (8)

Find the product. --4(0)

Solve the problem. -An online bookstore had 392 copies of a certain book in stock on January 1st. By January 10th, the store has taken orders for 655 copies of the book. How many copies were on back order?

Find the product. -(11) (-8)

Solve the problem. -Raya has $154 in her checking account. She writes a check for $33, makes a deposit for $111, and then writes another check for $72. Find the amount left in her account. (Write the amount as an integer.)

Solve the problem. -A store has pounds of short grain rice in stock at the beginning of the day and sells pounds during the course of the day. How many pounds of short grain rice remain at the end of the day?

Solve the problem. -In a card game, it is possible to have a negative score. If Anna's score is 21, what is her new score if she loses 31 points?

Find the product. -(-16) (-16)

Solve the problem. -A plane is flying at a height of 15,441 feet above the surface of the ocean. The depth of the ocean directly below the plane is 19,573 feet. What is the vertical distance between the plane and the floor of the ocean?

Find the product. -7(-1) (3)

Find the difference using your calculator. -Subtract 41.18 from - 111.89

Solve the problem. -The temperature at 5:00 was -6°C. Four hours later, it was -13°C. What was the change in temperature?

Find the product. -(-5) (-1)

Solve the problem. -At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -16°C. At the end of the experiment, it had risen 29°C. What was the liquid's temperature at the end of the experiment?

Solve the problem. -Daniel is in. tall and his brother Tyler is in. tall. How much taller is Daniel?

Solve the problem. -The temperature on a March morning is -9°F at 4a.m. If the temperature drops 3° by 5 a.m., rises 2° by 6 a.m., and then drops 9° by 7a.m., find the temperature at 7 a.m.

Find the product. --1.8(-20)

Find the product. -(-11) (12)

Solve the problem. -On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 51 feet. They then rose 23 feet. What was their elevation at this point?