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Worksheets

Ch 1 & 2 (incl word problems)

Total questions: 77

Worksheet time: 2hrs 46mins

Name
Class
Date
1.

A scuba diver was 53 feet below the ocean's surface. If he rises 25 feet, what is his new depth?

(a)  

2.

The temperature Thursday morning was 78 degrees. If the temperature rose 13 degrees by noon, what was the new temperature?

(a)  

3.

A plane is flying at 26,294 feet. To avoid turbulence, it decreased in altitude by 7,395 feet. At what altitude is the plane now flying?

(a)  

4.

During a football game, one team has 42 points and the other team has 21 points. What is the difference between the two scores?

(a)  

5.

Tim had $362 in his bank account. He spent $54 then made a deposit of $82. How much money does Tim have in his bank account?

(a)  

6.

A group of hikers started at an elevation of 1,803 feet. A squid is swimming 300 feet below sea level. What is the distance between the hikers and the squid?

(a)  

7.

Kim had -$124 in her bank account. She deposits $150 for her birthday. How much money does kim have in her bank account?

(a)  

8.

Sam is on a game show with a score of -250. If he scores 450 points what is his new score?

(a)  

9.

The temperature in Tulsa is 105 degrees and the temperature in Kenai is -15 degrees. What is the temperature difference between the two cities?

(a)  

10.

The highest elevation in the world is 29,029 feet and the lowest is -35,994 feet. What is the difference between the two?

(a)  

11.
In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?
a)
16¾ inches
b)
6½ inches
c)
6¼ inches
12.
Mrs. Byrne is at her house. She gets in her car and drives north 3.4 miles and stops at Target. Then she turns around and drives south 6.1 miles to go to Mrs. Mangini's house. How far is Mrs. Byrne's house from Mrs. Mangini's house?
a)
9.3 miles
b)
2.7 miles
c)
3.3 miles
13.
Which of these situations can be represented by the opposite of 4?
a)
You climb up 4 flights of stairs.
b)
You walk down 4 flights of stairs.
c)
The temperature rises 4⁰F.
d)
A plant grows 4 inches taller.
14.
A worker in a silver mine descends 60 feet. Use an integer to represent the change in the worker's position.
a)
60
b)
−60 feet
c)
60 feet
d)
−60
15.
Find the sum of   5 + (−4)
a)
9
b)
−9
c)
4
d)
1
16.
⅗+(−⅕)=
a)
b)
−⅖
c)
17.
The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly 24 degrees due to a strong cold front moving in.  What is the current temperature?
a)
14
b)
34
c)
-14
d)
-34
18.
A sprinkler was -8 feet below ground level. Mr. S has a machine that digs - 2 feet at a time. How many digs does he need to make in order to reach the sprinkler?
a)
4
b)
-4
c)
16
d)
-16
19.
A submarine is 150 below sea level while an airplane is 375 above sea level.  What is the difference between the height of the submarine and the airplane?
a)
-525
b)
525
c)
325
d)
-325
20.
A room is 3.4 m wide and 2.6 m long. What is the perimeter of the room?
a)
6 m
b)
6 m2
c)
12 m
d)
12 m2
21.
What is the first step in solving this problem:
-2 ⋅ (3 + 8 ÷ 4)2
a)
multiplication
b)
addition
c)
division
d)
subtraction
22.
Simplify the following:
-2 ⋅ (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
23.
Simplify the following:  
-8 + (15 - 3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
24.
Simplify the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
25.
Simplify the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
26.
-2 ⋅ (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
27.
Evaluate the expression.
a)
15
b)
11
c)
-15
d)
-11
28.
Evaluate the expression.
a)
3
b)
6
c)
-18
d)
-21
29.
Evaluate the expression.
a)
-30
b)
-18
c)
30
d)
-66
30.
Evaluate the expression.
a)
8
b)
-8
c)
14
d)
-14
31.
Simplify -32
a)
6
b)
-6
c)
9
d)
-9
32.
(-7) - 32
a)
21
b)
63
c)
-16
d)
-62
33.

122 ÷ 4 – 3 × 24-12^2\ ÷\ 4\ –\ 3\ ×\ 2^4  

a)

-30

b)

-12

c)

-18

d)

-84

34.

8 – 4(2+52) ÷ 128\ –\ 4(2+5^2)\ ÷\ 12  

a)

1

b)

-8

c)

4

d)

-1

35.


62+(14)÷ 2 – (8)6^2+\left(-14\right)÷\ 2\ –\ (-8)  

a)

7

b)

19

c)

13

d)

37

36.
4 + [52 + (-4 - 1)] ÷ 10
a)
2.4
b)
4
c)
6
d)
7
37.

4(1+5)2 ÷ 6 – (42+5)-4(1+5)^2\ ÷\ 6\ –\ (42+5)  

a)

-23

b)

-71

c)

49

d)

-49

38.

Convert to a percent:

0.35

a)

35/100

b)

0.035%

c)

35%

d)

.35%

39.

Convert to a decimal:

5/6

a)

0.83

b)

1.2

c)

0.83 repeating

d)

.56 repeating

40.

Change to a percent

3/4

a)

34%

b)

.75%

c)

1.3%

d)

75%

41.

Change to a fraction

0.018

a)

18/1000

b)

9/500

c)

4/250

d)

18/100

42.

Change to a percent

0.039

a)

39%

b)

3.9%

c)

.00039%

d)

.039%

43.

Convert to fraction

96%

a)

96/100

b)

48/50

c)

48/100

d)

24/25

44.

Change to Percent

17/20

a)

30%

b)

34%

c)

17%

d)

85%

45.

Convert to a decimal

2/11

a)

0.18 repeating

b)

.211

c)

.11

d)

.18

46.

Change to a Percent

1.07

a)

1.07%

b)

.00107%

c)

107%

d)

10.7%

47.

Change to a Fraction

18%

a)

18/100

b)

18/50

c)

0

d)

9/50

48.

Convert to a percent

0.375

a)

37%

b)

37.5%

c)

.375%

d)

37

49.

Change to a decimal (nearest thousandths)

5/7

a)

.715

b)

1.4

c)

.714

d)

.7142

50.

Change to fraction

64%

a)

64/100

b)

16/25

c)

32/50

d)

64/50

51.

Change to a fraction

38%

a)

19/500

b)

20/100

c)

38/100

d)

19/50

52.

Change to a percent

0.007

a)

0.7%

b)

0.07%

c)

7%

d)

70%

53.

Change to a decimal

3/20

a)

0.3

b)

0.03

c)

0.15

d)

0.015

54.

Change to a percent

0.08

a)

0.08%

b)

80%

c)

8%

d)

0.8%

55.

Convert to a percent

2.54

a)

2.54%

b)

2540%

c)

0.254%

d)

254%

56.

Change to a decimal

99/1000

a)

0.99

b)

0.0099

c)

0.099

d)

99

57.

Change to a fraction

3.025

a)

3 1/8

b)

3 25/1000

c)

3 1/4

d)

3 1/40

58.

(3)2\left(-3\right)^2  

a)

(3)(3)\left(-3\right)\left(-3\right)  

b)

(3)×2\left(-3\right)\times2  

59.

32-3^2  

a)

(3×3)-\left(3\times3\right)  

b)

3×2-3\times2  

60.

(3)2\left(-3\right)^2  

a)

6

b)

6

c)

9

d)

-9

61.

(2)5\left(-2\right)^5  

a)

2×5-2\times5  

b)

(2)(2)(2)(2)(2)(-2)(-2)(-2)(-2)(-2)  

62.

25-2^5  

a)

2×5-2\times5  

b)

(2×2×2×2×2)-\left(2\times2\times2\times2\times2\right)  

c)

(2)(2)(2)(2)(2)(-2)(-2)(-2)(-2)(-2)  

d)

(2×5)-\left(2\times5\right)  

63.

(2)5\left(-2\right)^5  

a)

10-10  

b)

32-32  

c)

3232  

d)

1010  

64.

25-2^5  

a)

10

b)

-10

c)

32

d)

-32

65.

(3)4\left(-3\right)^4  

a)

(3)×4\left(-3\right)\times4  

b)

(3)(3)(3)(3)(-3)(-3)(-3)(-3)  

c)

(3×3×3×3)-\left(3\times3\times3\times3\right)  

d)

(3×4)-\left(3\times4\right)  

66.

34-3^4  

a)

(3×3×3×3)-\left(3\times3\times3\times3\right)  

b)

3×4-3\times4  

c)

(3)(3)(3)(3)(-3)(-3)(-3)(-3)  

d)

(3×4)-\left(3\times4\right)  

67.

(3)4\left(-3\right)^4  

a)

-81

b)

81

c)

-12

d)

12

68.

34-3^4  

a)

81

b)

-81

c)

12

d)

-12

69.

(5)2\left(-5\right)^2  

a)

(5×2)-\left(5\times2\right)  

b)

5×2-5\times2  

c)

(5)(5)\left(-5\right)\left(-5\right)  

d)

(5×5)-\left(5\times5\right)  

70.

52-5^2  

a)

(5×2)-\left(5\times2\right)  

b)

(5)(5)\left(-5\right)\left(-5\right)  

c)

(5)×2\left(-5\right)\times2  

d)

(5×5)-\left(5\times5\right)  

71.

(5)2\left(-5\right)^2  

a)

25

b)

-25

c)

-10

d)

10

72.

52-5^2  

a)

25

b)

-25

c)

10

d)

-10

73.

(10)4\left(-10\right)^4  

a)

(10×10×10×10)-\left(10\times10\times10\times10\right)  

b)

(10×4)-\left(10\times4\right)  

c)

(10)(10)(10)(10)\left(-10\right)\left(-10\right)\left(-10\right)\left(-10\right)  

d)

(10)×4\left(-10\right)\times4  

74.

104-10^4  

a)

(10×10×10×10)-\left(10\times10\times10\times10\right)  

b)

(10)(10)(10)(10)\left(-10\right)\left(-10\right)\left(-10\right)\left(-10\right)  

c)

(10×4)-\left(10\times4\right)  

d)

(10)×4\left(-10\right)\times4  

75.

(10)4\left(-10\right)^4  

a)

40

b)

-40

c)

10,000

d)

-10,000

76.

104-10^4  

a)

40

b)

-40

c)

10,000

d)

-10,000

77.

(3)3\left(-3\right)^3  

a)

(3)(3)(3)(-3)(-3)(-3)

b)

(3×3)-\left(3\times3\right)  

c)

(3×3×3)-\left(3\times3\times3\right)  

d)

(3)×3\left(-3\right)\times3