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Solving Problems with Rational Numbers

Total questions: 16

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Carmen is 5 1/4 years younger than Antoine. Katy is 11 1/2 years older than Carmen. To the nearest year, what is the difference in Antoine’s age and Katy’s age?

a)

Antoine is about 17 years older than Katy

b)

Antoine is about 17 years younger than Katy

c)

Antoine is about 6 years older than Katy.

d)

Antoine is about 6 years younger than Katy

2.

A scientist measures the change in the temperature of a chemical solution. At the start of the experiment, the solution is at a temperature of 214.96°C. The temperature decreases 2.9°C each hour. What expression can be used to find the temperature of the solution after 3 hours

a)

-2.9 -2.9 -2.9

b)

214.96 - 2.9

c)

214.96 - 2.9 - 2.9

d)

214.96 - 2.9(3)

3.

Amalia is scuba diving at a position 24.25 feet below sea level. She descends 0.5 foot each minute for 25 minutes. What is Amalia’s position compared to sea level after 25 minutes?

a)

-12.75

b)

-36.75

c)

-24.30

d)

-29.25

4.

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1.

True/False a/-4 must be less than -1.

a)

True

b)

False

c)

I don't know

5.

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1.

True / False: . b+ c is always negative.

a)

True

b)

False

c)

I don't know

6.

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1.

True / False: -2bc must be a positive number less than 1

a)

True

b)

False

c)

I don't know

7.

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1.

True / False: bc is always a negative number greater than -1

a)

True

b)

False

c)

I don't know

8.

Suppose a, b, c, and d are as follows: a is a decimal greater than 4. b is a positive fraction less than 1. c is a negative fraction greater than -1. d is a number greater than 1

True / False: c + d is always positive

a)

True

b)

False

c)

I don't know

9.

Which is the best estimate of -15/16 + (-1/2)

a)

1 1/2

b)

1/2

c)

-1/2

d)

-1 1/2

10.

Beth plays a video game in which she starts with 0 points. In round 1, she loses 3 1/2 points; in round 2, she wins 28 1/2 points; and in round 3, she loses another 3 1/2 points. What is her final score?

a)

-18 1/2

b)

18 1/2

c)

21 1/2

d)

35 1/2

11.

7 Fred is scuba diving. He stops 14.3 meters below the surface to look at a fi sh. Then he swims down 5.8 meters deeper to look at a reef. If he then swims up 3.2 meters, which is the BEST approximation of Fred’s position relative to the ocean surface

a)

12 meters

b)

11 meters

c)

-17 meters

d)

-23 meters

12.

Browning, Montana, holds the U.S. record for the greatest temperature drop in one day. On January 23, 1916, the temperature changed by an average of -4.17 degrees F per hour. To the nearest degree, what was the total temperature change after 24 hours?

a)

-100 degrees

b)

-4.17 degrees

c)

-1000 degrees

d)

-200 degrees

13.

A sugar-water solution freezes at -1.88C. A saltwater solution freezes at -13.68C. What is the diff erence between the freezing temperature of the sugar-water solution and that of the saltwater solution? Estimate to show that your answer is reasonable.

a)

-11.8 degrees

b)

15.56 degrees

c)

11.8 degrees

d)

-15.56 degrees

14.

Estimate 73.8 - (-9) =

a)

84

b)

64

c)

79

d)

65

15.

Solve 73.8 - (-9)

a)

64.8

b)

74.7

c)

73.17

d)

82.8

16.

Estimate: -17.7 / 3

a)

-6

b)

-6.666

c)

6

d)

6.666