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PreAlg - Unit 1 - Integer Word Problems

Total questions: 40

Worksheet time: 2hrs 31mins

Name
Class
Date
1.

Cara monitors a snail in her aquarium. She notes that this morning it crawled 1" up the glass. A few hours later, it crawled another 2" up the glass. Later, it crawled 4" down the glass. How far is the snail from where it started?

a)

1" below where it started

b)

3" above where it started

c)

1" above where it started

d)

2" below where it stared

2.

Henry starts the day with $30. He and his sister go to the fair. He pays for his own admission of $10, but fails to notice that $15 falls out of his wallet while he is paying. His sister lends him $10 so that he can still enjoy the fair. Write the equation that illustrates his day's financial events.

a)

30 - 10 - 5 + 10 =

b)

30 - 15 + 10 =

c)

30 - 10 - 15 + 10 =

d)

30 + 10 - 15 =

3.

Karen opens a credit account to purchase a new bed. She makes a down payment of $200 on a $1,000 bed. What is her financial situation?

a)

Karen owes $600 on her bed.

b)

Karen owes $1000 on her bed.

c)

Karen owes $200 on her bed.

d)

Karen owes $800 on her bed.

4.

At midnight, the temperature was 30 degrees. By 6:00 a.m, it had dropped 5 degrees, and by noon, it had increased by 11 degrees. What was the temperature at noon? 

a)

36 degrees

b)

27 degrees

c)

39 degrees

d)

16 degrees

5.

From the top of a mountain to the floor of the valley below is 4,392 feet. If the valley is 93 feet below sea level, what is the height of the mountain?

a)

4,485 feet

b)

4,299 feet

c)

4,537 feet

d)

4,297

6.

An airplane started at 0 feet. It rose 21,000 feet at takeoff. It then descended 4,329 feet because of clouds. An oncoming plane was approaching, so it rose 6,333 feet. After the oncoming plane passed, it descended 8,453 feet, at what altitude was the plane flying?

a)

16,732 feet

b)

13,736 feet

c)

14,551 feet

d)

15,332 feet

7.

A submarine is 500 feet below sea level. A hot air balloon is 8,550 feet above sea level. The submarine fires a missile at the hot air balloon. How far will the missile have to travel from the submarine to the hot air balloon?

a)

9,050 feet

b)

8,530 feet

c)

8,050 feet

d)

9,160 feet

8.

A diver is located 150 feet below sea level. The diver descends 30 feet. What is the diver's new location?

a)

50 feet above sea level

b)

130 feet below sea level

c)

100 feet below sea level

d)

180 feet below sea level

9.

A shark is swimming at 430 feet below sea level. The shark descends 90 feet and then ascends 300 feet. What is the sharks new location?

a)

220 feet below sea level

b)

640 feet below sea level

c)

127 feet below sea level

d)

342 feet below sea level

10.

At 6am in Buffalo, the temperature was -13 degrees. By noon, the temperature was 27 degrees. How much did the temperature change?

a)

23 degree change

b)

14 degree change

c)

40 degree change

d)

32 degree change

11.
If it is 85 degrees in California and -4 degrees in Nebraska, how many degrees warmer is it in California? 
a)
-89
b)
81
c)
89
d)
-81
12.
The high temperature on Wednesday was 93 degrees. What was the absolute value of the temperature on Wednesday?
a)
93
b)
-93
c)
0
d)
186
13.
What is the expression that matches this situation?
Robbie went parasailing. His sail reached 141 feet. It descended 22 feet before staying in the same place for 10 minutes. What was the height that it stayed in for 10 minutes?
a)
163 feet
b)
119 feet
c)
-191 feet
d)
19 feet
14.
Melody had to make a visit to the bank because her account was overdrawn by $32.  After making a deposit of $100, Melody was now happy that she had some money. How much money did she have after making the deposit?
a)
$100
b)
-$78
c)
$68
d)
$32
15.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
16.
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
a)
28 feet
b)
-28 feet
c)
52 feet
d)
-52 feet
17.
A climber starts descending from 533 feet above sea level and keeps going until she reaches 10 feet below sea level.  How many feet did she descend?
a)
523 feet
b)
543 feet
c)
0 feet
d)
500 feet
18.
The temperature drops 2°F each hour. What is the total change in temperature after 12 hours?
a)
-24
b)
26
c)
24
d)
-26
19.

In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?

a)

-7°F

b)

-21°F

c)

7°F

d)

21°F

20.

While hiking, Sandra went up 120 meters. If Sandra started at 800 meters above sea level, what is her elevation now?

a)

-680

b)

920

c)

680

d)

-920

21.
The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4. What was the price of a share at the end of the day?
a)
$27
b)
$31
c)
$32
d)
$35
22.
An elevator went up 15 floors, down 9 floors, up 11 floors, and down 19 floors. Find the net change.
a)
13
b)
3
c)
-2
d)
-4
23.
A dolphin was swimming 23 feet under the surface of the water. He rose 8 feet, then it dropped back down 4 feet. It rose 21 feet. What is the location of the dolphin now?
a)
2 feet below sea level
b)
2 feet above sea level
c)
19 feet below sea level
d)
15 feet below sea level
24.
What is the distance between the following 2 integers? -20 and +30
a)
10
b)
-10
c)
-50
d)
50
25.
Solve this expression.
(9)(-8)+(2-4)
a)
-74
b)
-70
c)
-72
d)
-80
26.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
a)
-7°F
b)
-21°F
c)
7°F
d)
21°F
27.
A submarine was situated 800 feet below sea level. If it ascends 350 feet, what is its new position?
a)
450
b)
-450
c)
1150
d)
-1150
28.
At the Springfield Golf Tournament, the leaderboard shows Preston's score as 7 on the front nine and -6 on the back nine. What was Preston's total score for the rounds?
a)
-2
b)
2
c)
-1
d)
1
29.
From 10 meters below sea level, Derek took off in his helicopter and ascended 100 meters. Which integer represents Derek's elevation now?
a)
-90
b)
90
c)
110
d)
-110
30.

While hiking, Sandra ascended 800 meters. If Sandra started at 120 meters below sea level, what is her elevation now?

a)

-680

b)

920

c)

680

d)

-920

31.
At sunrise, the outside temperature was 1° below zero. By lunch time, the temperature rose by 17° and then fell by 4° by night. What was the temperature at the end of the day? 
a)
14°
b)
13°
c)
12°
d)
11°
32.
A submarine hovers at 240 meters below sea level. If it descends 160 meters and then ascends 390 meters, what is its new position? 
a)
-310 meters
b)
-20 meters
c)
-10 meters
d)
0 meters
33.
Mr. Oles has a bank balance of -42 dollars at the start of the month. After he deposits 6 dollars, what is the new balance? 
a)
-48 dollars
b)
-36 dollars
c)
-34 dollars
d)
7 dollars
34.
A roller coaster begins at 90 feet above ground level. Then it descends 105 feet. Find the height of the coaster after the first descent.
a)
195 feet
b)
15 feet
c)
-5 feet
d)
-15 feet
35.
On the first play, the football team lost 6 yards. On the second play, the team lost 5 yards. What was their total change in yards?
a)
1 yard
b)
11yards
c)
-1 yard
d)
-11 yards
36.
Steve has overdrawn his checking account by $27. His bank charged him $15 for an overdraft fee. Then he quickly deposited $100. What is his current balance?
a)
$83
b)
$97
c)
$68
d)
$58
37.

Evaluate:

-12 ÷ 6 (-3) + 8

(a)  

38.
Simplify the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
39.


 −24÷−8⋅(−3)−3−(−1)-24\div-8\cdot\left(-3\right)-3-\left(-1\right)  



(a)  

40.

34 + [ 16 - (8-3)]

a)

34

b)

29

c)

45

d)

28

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