Adding and Subtracting Integer Practicemshypolite.weebly.com/uploads/7/7/1/8/77186211/adding... ·...

$Page 1: Adding and Subtracting Integer Practicemshypolite.weebly.com/uploads/7/7/1/8/77186211/adding... · 2018. 9. 4. · 14. To subtract fractions, add the additive inverse and find a common$
Name:______________________________ Class Period: ____________ Date:_________

Adding and Subtracting Integer Practice

1.

Which of the following number lines shows the correct sum of the number above and ?

A.

B.

C.

D.

3. Subtract.

A.

B.

C.

D.

4.

Which of the following shows the sum of the number indicated on the number line above and

?

A.

B.

C.

D.

5.

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5

What is the length of the red line segment on the number line?

A. 7

B. 3

C. -7

D. -3

6.

Which of the following number lines shows the correct sum of the number above and 4?

A.

B.

C.

D.

7. Jack deposited a check into his account for $242.66. Then, he withdrew $242.66 in cash in the

same transaction. What is the net amount of Jack's transaction?

A. $485.32

B. -$242.66

C. $242.66

D. $0

8. Indicate which property is illustrated in Step 1.

Step 1 4 + (3 + 8) + 0 = 4 + (8 + 3) + 0

Step 2 = (4 + 8) + (3 + 0)

Step 3 = (4 + 8) + 3

Step 4 = 12 + 3

A. identity property of addition

B. commutative property of addition

C. associative property of multiplication

D. commutative property of multiplication

9. Subtract.

-173 - 370

A. 543

B. 197

C. -197

D. -543

10. Technology Enhanced Questions are not available in Word format.

11. The average temperature of Kopikoville was reported to be - 17° last year. This year, the

average temperature of Kopikoville rose by 5°. Which of the following is true about this year's

average temperature of Kopikoville?

A. This year's average temperature of Kopikoville is 12°.

B. This year's average temperature of Kopikoville is - 12°.

C. This year's average temperature of Kopikoville is 22°.

D. This year's average temperature of Kopikoville is - 22°.

12. Tyrone's bank account had a balance of -$78.51 last week. His paycheck of $294.19 was

deposited this week. If there have been no other transactions, which of the following is true?

A. Tyrone's current account balance is -$215.68.

B. Tyrone's current account balance is $372.70.

C. Tyrone's current account balance is -$372.70.

D. Tyrone's current account balance is $215.68.

13.

Which of the following shows the sum of the number indicated on the number line above and -2?

A.

B.

C.

D.

14. Subtract.

A.

B.

C.

D.

15.

-2

-1

0

1

2

3


A. 4

B. -4

C. 1

D. -1


17. Use properties of rational numbers to simplify the expression.

A.

B.

C.

D.

18. Which of the following situations would combine to make zero?

A. Last week, Mark earned 20 loyalty points at a retail store by buying his groceries there.

This week, he earned 20 loyalty points by buying a camera.

B. Deng's rough draft of his essay was three pages long. After he rewrote the essay, the final

draft was also three pages long.

C. In the first month of the semester, Edith read about 150 pages of fiction for her English

course. In the second month, she read about 150 pages of nonfiction.

D. Last weekend, Juanita's mother bought five quarts of milk. During the week, she used five

quarts of milk for the family's breakfast.

19. A scuba diver descended feet below sea level. Then, he descended another feet.

Which of the following is true about the scuba diver after both descents?

A. The location of the scuba diver in relation to sea level was feet.

B. The location of the scuba diver in relation to sea level was feet.

C. The location of the scuba diver in relation to sea level was feet.

D. The location of the scuba diver in relation to sea level was feet.


21. Which of the following situations would combine to make zero?

A. Chris walks four blocks west to the grocery store. After buying groceries, he walks four

blocks east.

B. Manuel spent five hours exercising this weekend. He also spent five hours watching

television.

C. Julia took two math practice tests last month. She plans to take two more tests later this

month.

D. Amy drives for three hours along an Interstate highway. She then drives for three hours

along county highways.



(33 - 9.13) - (102.4 + 6)

A. 120.53

B. 132.53

C. -84.53

D. -66.27

24. By lunch time Peter had dug part of a hole to plant a tree. At the end of the day, Peter had

finished digging the hole. The number line below shows the depth of the hole at lunch time and

at the end of the day.

According to the number line, how many feet did Peter dig between lunch time and the end of

the day?

A.

B.

C.

D.

25.

Which of the following can be added to the number indicated on the number line above to sum to

0?

A. -2.77

B. 5.54

C. 2.77

D. -5.54


Step 1 6 + (5 + 8) + 0 = 6 + (8 + 5) + 0

Step 2 = (6 + 8) + (5 + 0)

Step 3 = (6 + 8) + 5

Step 4 = 14 + 5

A. distributive property

B. associative property of addition

C. commutative property of multiplication

D. associative property of multiplication

27.


A.

B.

C.

D.

28. Stuart's bank account had a balance of - $53.81 last month. This month he won a cash prize

of $70.29 for winning a competition. How much money does Stuart have at the end of this

month, if there are no other transactions?

A. Stuart's account balance is $16.48.

B. Stuart's account balance is - $124.1.

C. Stuart's account balance is - $16.48.

D. Stuart's account balance is $124.1.

29. The number line below shows how many feet above a pool a ball was dropped from (start)

and how many feet into the pool the ball sank (end).

According to the number line, how many feet did the ball travel?

A.

B.

C.

D.


Step 1 2 + (11 + 1) + 0 = 2 + (1 + 11) + 0

Step 2 = (2 + 1) + (11 + 0)

Step 3 = (2 + 1) + 11

Step 4 = 3 + 11

A. commutative property of multiplication

B. associative property of addition

C. identity property of multiplication

D. identity property of addition

31.

-6

-5

-4

-3


A.

B.

C.

D.


57 + 17.21 + 35.94

A. 109.14

B. 110.15

C. 109.15

D. 111.25

33.


A.

B.

C.

D.

34. The water level in Catherine's hot tub was below the recommended water level when she

turned the hose on. She forgot to turn the hose off and filled the hot tub above the recommended

water level. The number line below shows the number of gallons below the recommended water

level the hot tub was when she turned the hose on and the number of gallons above the

recommended water level the hot tub was when she turned it off.

According to the number line, how many gallons of water did Catherine put in the hot tub?

A.

B.

C.

D.

35. A quarterback rushed for a gain of 6 yards in the first play of a football game. On the very

next play, he was sacked and lost 6 yards. How many total yards did the quarterback gain in the

first two plays?

A. -6

B. 12

C. 0

D. 6

Answers

1. --

2. B

3. A

4. A

5. A

6. B

7. D

8. B

9. D

10. --

11. B

12. D

13. D

14. A

15. A

16. --

17. B

18. D

19. C

20. --

21. A

22. --

23. C

24. B

25. C

26. B

27. C

28. A

29. A

30. D

31. D

32. B

33. B

34. A

35. C

Explanations

1. --

2. To find the sum of and , add the two fractions together.

3. To subtract fractions, add the additive inverse and find a common denominator.

4. A number and its opposite are additive inverses. This means that their sum is zero.

Therefore, the sum of and is 0.

5. In order to determine the length of the red line segment on the number line, calculate the

absolute value of the difference between the two endpoints.

The two endpoints are -5 and 2.

So, the distance of the red line segment on the number line is 7.

6. To find the sum of 3 and 4, add the two whole numbers together.

3 + 4 = 7

7. A deposit represents a positive number, and a withdrawal represents a negative number.

Since Jack deposited and then withdrew the same amount, the amounts are additive inverses. The

sum of a number and its opposite is zero.

$242.66 + (-$242.66) = $0

8. The property illustrated in Step 1 is the commutative property of addition.

The commutative property of addition states that adding terms together in any order results in the

same sum.

9. To subtract rational numbers, add the additive inverse.

-173 - 370 = -173 + (-370)

= -543

10. --

11. To find this year's average temperature of Kopikoville, add the rise in average temperature to

last year's average temperature of Kopikoville.

A negative number plus a positive number is equal to the positive number minus the absolute

value of the negative number.

Therefore, this year's average temperature of Kopikoville is - 12°.

12. To find Tyrone's current account balance, add his balance from last week of -$78.51 to his

paycheck from this week of $294.19.



(-78.51) + 294.19 = 294.19 - |-78.51|

= 294.19 - 78.51

= 215.68

Therefore, Tyrone's current account balance is $215.68.


Therefore, the sum of 2 and -2 is 0.

14. To subtract fractions, add the additive inverse and find a common denominator.



The two endpoints are -1.5 and 2.5.

So, the distance of the red line segment on the number line is 4.

16. --

17. Use the commutative and associative properties of addition to simplify.

18. Buying five quarts of milk is a positive number, and using five quarts of milk is a negative

number.

Since Juanita's mother bought five quarts of milk and then used five quarts of milk for the

family's breakfast during the week, the resulting change in the quantity of milk is the sum of a

number and its opposite.

19. A scuba diver descends below sea level which makes his depth negative. To find how deep

the scuba diver is after both descents, calculate the sum of the two distances.

A negative number plus a negative number is equal to the negative of the sum of the absolute

values of the numbers.

Therefore, the location of the scuba diver in relation to sea level was feet after both

descents.

20. --

21. Suppose that the number of blocks walked westbound is a positive number. Then the number

of blocks walked eastbound is a negative number.

Since Chris walks four blocks west and then four blocks east, the resulting change in his position

is the sum of a number and its opposite.

22. --

23. Use order of operations and the additive inverse to simplify.

(33 - 9.13) - (102.4 + 6) = (33 - 9.13) + (-102.4 - 6)

= 23.87 + (-108.4)

= -84.53

24. In order to determine the distance between two points on a number line, calculate the

absolute value of the difference between the two points.

The two points are and .

So, according to the number line Peter dug the hole feet between lunch time and the end of the

day.


Therefore, the sum of -2.77 and 2.77 is equal to 0.

26. The property illustrated in Step 2 is the associative property of addition.

The associative property of addition states that numbers can be grouped in any way and added

together without changing the sum of the numbers.

27. To find the sum of and , first find the common denominator, and then add the two

fractions together.

28. To find Stuart's current account balance, add his balance from last month of - $53.81 to his

cash prize of $70.29.



Therefore, Stuart's account balance is $16.48.




So, according to the number line the ball traveled feet.

30. The property illustrated in Step 3 is the identity property of addition.

The identity property of addition states that a number remains unchanged after the addition of

zero.



The two endpoints are and .

So, the distance of the red line segment on the number line is .

32. Use decimal expansion and the commutative and associative properties to simplify.

57 + 17.21 + 35.94 = 57 + (17 + 0.21) + (35 + 0.94)

= (57 + 17 + 35) + (0.21 + 0.94)

= 109 + 1.15

= 110.15

33. To find the sum of and , first find the common denominator, and then add the two

fractions together.




So, according to the number line Catherine put gallons of water in the hot tub.

35. A gain in yards represents a positive number, and a loss in yards represents a negative

number.

A gain of 6 yards and a loss of 6 yards are additive inverses. The sum of a number and its

additive inverse is zero.

6 + (-6) = 0

Date post:	13-Oct-2020
Category:	Documents
Upload:	others
View:	8 times
Download:	0 times

Adding and Subtracting Integer Practicemshypolite.weebly.com/uploads/7/7/1/8/77186211/adding... ·...

Documents