Middle School

We appreciate your visit to 1 Chicago has a temperature of 7 degrees Fahrenheit F It is colder in Boston than in Chicago Select all the values that could represent. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

1. Chicago has a temperature of -7 degrees Fahrenheit (°F). It is colder in Boston than in Chicago. Select all the values that could represent the temperature of Boston.

A. 7°F
B. -8°F
C. 0°F
D. -6°F
E. -12°F

2. The table below shows the height of Grace's kite while she was flying it yesterday. Use this information to determine which statements below are correct. Select all that apply.

A. Grace's kite rose consistently during the first 4 minutes of its flight.
B. Grace's kite rose a total of 8 feet during the first 2 minutes of its flight.
C. Grace's kite fell 4 feet between minute 4 and minute 5.
D. If Grace added a row to her chart at 6 minutes to show a drop of 6 feet, the kite's height would be 3 feet.

3. Using this number line, which of the following statements is true?

A. A is the opposite of D
B. B is the opposite of F
C. B is the opposite of E
D. C is the opposite of F

4. Which of the following number lines show the correct number? Select all that apply.

A. The opposite of –4:
B. The opposite of the opposite of 5:
C. The opposite of the opposite of 3:
D. The opposite of 2:
E. The opposite of the opposite of –6:

5. Which of the following points is located in the third quadrant of the coordinate plane?

A. (–1, –9)
B. (1, –9)
C. (–1, 9)
D. (1, 9)

6. Use the graph above to determine which of the following ordered pairs is in quadrant II.

A. (3, 2)
B. (–4, 6)
C. (–5, –2)
D. (4, –1)

7. Using this coordinate plane, determine which of the following sentences are true.

A. Point A is located at (4, –7).
B. Point B is located at (–7, 4).
C. Point C is located at (1, 6).
D. Point D is located at (–4, 7).

8. John claims that point X = –4 and point Y = 2. Which of the following statements provide support for John's claim? Select all that apply.

A. X Y because X is left of Y.
B. Y 0 because X is left of zero.

9. Why is –28 to the right of –64 on a number line?

A. because –28 –64
B. because –28 64

10. The following chart displays the temperatures of a city for the last four days. Use the chart to answer the question below.

According to the chart, which of the following statements is true?

A. Tuesday was colder than Monday.
B. Thursday was colder than Wednesday.
C. Monday was warmer than Wednesday.
D. Wednesday was warmer than Tuesday.

11. Use the chart below to answer the question(s).

- Saturday: –15 degrees
- Sunday: –18 degrees
- Monday: –16 degrees
- Tuesday: –13 degrees
- Wednesday: –11 degrees

According to the chart above, between which two days did the temperature drop?

A. Saturday–Sunday
B. Sunday–Monday
C. Monday–Tuesday
D. Tuesday–Wednesday

12. Solve the following equation for x: x = |−3.7|

A. 3.7
B. 3.7 or –3.7
C. –3
D. No solution

13. A hiker is located in a valley at a depth of –125 feet. Which of the following equations represents the depth of the hiker in feet?

A. –125 = –125
B. –125 = 125
C. 125 = 125
D. 125 = –125

14. The chart below displays an account balance over the course of five days. Use the chart to answer the following question.

Day Balance:
- Monday: –120 dollars
- Tuesday: –70 dollars
- Wednesday: –65 dollars
- Thursday: –70 dollars
- Friday: –25 dollars

According to the chart, between which two days did the customer's account balance decrease?

A. Monday and Tuesday
B. Tuesday and Wednesday
C. Wednesday and Thursday
D. Thursday and Friday

15. What is the distance between the points M(–21, –7) and N(–5, –7)?

A. 14 units
B. 16 units
C. 26 units
D. 28 units

16. Louisa, Kristen, and Javier live in the same neighborhood. They created a map showing the locations of their houses on the coordinate plane below. Louisa's house is located at (8, 2), Kristen's house is located at (–3, 2), and Javier's house is located at (8, –8). On Saturday morning, they all went for walks to their friends' houses. Louisa left her house and walked 3 blocks north, 5 blocks west, and then 1 block south. Kristen left her house and walked 4 blocks south, 7 blocks east, and 3 blocks north. Javier left his house and walked 9 blocks west, 3 blocks north, and then 4 blocks east.

If each unit of the coordinate plane represents 1 block, how many blocks away from each other were Louisa and Javier when they each finished their walks?

A. 10 blocks
B. 7 blocks
C. 8 blocks
D. 9 blocks

17. Jimmy built a model of a sea with different types of vehicles for his history class. In the model, there are airplanes located above the surface of the water and submarines located below the surface of the water. The various vehicles are located at the following positions:

- Airplane A is located 10 inches above the surface of the water.
- Airplane B is located 20 inches above the surface of the water.
- Submarine 1 is located 22 inches below the surface of the water.
- Submarine 2 is located 10 inches below the surface of the water.

Which vehicle is the greatest distance from the surface of the water?

A. Airplane A
B. Airplane B
C. Submarine 1
D. Submarine 2

18. Which letter on the number line identifies the location of –8?

A. A
B. B
C. C
D. D

Answer :

To convert a drop of 40.0 degrees Fahrenheit to Celsius, use the formula C = (F - 32) * 5/9, leading to a drop of 4.444 degrees Celsius. Additionally, changes in Fahrenheit are nine-fifths the changes in Celsius. The Fahrenheit and Celsius scales read the same at -40 degrees.

When considering the question of how the temperature changes between degrees Fahrenheit and degrees Celsius, we apply the formula for converting Fahrenheit to Celsius or vice versa. The conversion formula from Fahrenheit to Celsius is C = (F - 32) * 5/9. Therefore, a drop of 40.0 degrees Fahrenheit is equal to a drop in Celsius of (40.0 - 32) * 5/9 = 8 * 5/9, which simplifies to 4.444 degrees Celsius.

Moreover, to show that any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees, we can differentiate the conversion formula. Using dC/dF = 5/9, we know that for every change in Fahrenheit, there is a (5/9) * ∆F change in Celsius, which simplifies to (9/5) * ∆C, proving the statement.

Additionally, the temperature at which both the Fahrenheit and Celsius scales read the same numerical value is at -40 degrees. This can be proven by equating the two conversion formulas and solving for the temperature where F = C. Another point of interest is the temperature at which Fahrenheit and Kelvin scales would intersect, but unlike Celsius and Fahrenheit, Fahrenheit and Kelvin scales do not cross at the same numerical value due to the different starting points (absolute zero) of the two scales.

Thanks for taking the time to read 1 Chicago has a temperature of 7 degrees Fahrenheit F It is colder in Boston than in Chicago Select all the values that could represent. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada