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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
What is the length of the red line segment on the number line?
A. 4
B. -4
C. 1
D. -1
16. Technology Enhanced Questions are not available in Word format.
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.
20. Technology Enhanced Questions are not available in Word format.
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.
22. Technology Enhanced Questions are not available in Word format.
23. Use properties of rational numbers to simplify the expression.
(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
26. Indicate which property is illustrated in Step 2.
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.
Which of the following number lines shows the correct sum of the number above and ?
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.
30. Indicate which property is illustrated in Step 3.
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
What is the length of the red line segment on the number line?
A.
B.
C.
D.
32. Use properties of rational numbers to simplify the expression.
57 + 17.21 + 35.94
A. 109.14
B. 110.15
C. 109.15
D. 111.25
33.
Which of the following number lines shows the correct sum of the number above and ?
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.
A negative number plus a positive number is equal to the positive number minus the absolute
value of the negative number.
(-78.51) + 294.19 = 294.19 - |-78.51|
= 294.19 - 78.51
= 215.68
Therefore, Tyrone's current account balance is $215.68.
13. A number and its opposite are additive inverses. This means that their sum is zero.
Therefore, the sum of 2 and -2 is 0.
14. To subtract fractions, add the additive inverse and find a common denominator.
15. 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 -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.
25. A number and its opposite are additive inverses. This means that their sum is zero.
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.
A negative number plus a positive number is equal to the positive number minus the absolute
value of the negative number.
Therefore, Stuart's account balance is $16.48.
29. 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 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.
31. 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 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.
34. 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 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