Lesson Worksheet: Slope and Rate of Change Mathematics • 8th Grade
In this worksheet, we will practice interpreting the slope of a straight line as the rate of change of two quantities.
Q1:
Which of the following functions has a rate of change that is more rapid than the function shown in the graph?
- A
- B
- C
- D
- E
Q2:
Determine which of the given functions has the greatest rate of change.
(a)
| 0 | 1 | 2 | |||
| 2 | 6 | 10 | 14 |
(b) a function where the input is multiplied by 3 and subtracted from 4
(c)
(d)
- Ac
- BThey have the same rate of change.
- Ca
- Db
- Ed
Q5:
Elizabeth and Scarlett are playing a video game. The given functions represent the number of levels each of them has finished. Who plays better?
| Scarlettβs Progress | |
|---|---|
| Time (min) | Number of Levels |
| 4 | 3 |
| 12 | 9 |
| 20 | 15 |
| 24 | 18 |
- AElizabeth
- BScarlett
Q6:
Which of the following functions has a lower rate of change?
(a)
| 9 | 3 | |||
| 2 |
(b) A function with an output that is equal to the input divided by 3 and added to 5.
- AThey have the same rate of change.
- B(b)
- C(a)
Q7:
Find the slopes of , , and .
- AThe slope of is 10, the slope of is 0, and the slope of is .
- BThe slope of is , the slope of is 0, and the slope of is .
- CThe slope of is 10, the slope of is undefined, and the slope of is .
- DThe slope of is 10, the slope of is 1, and the slope of is .
- EThe slope of is , the slope of is 1, and the slope of is .
Q8:
Which of the following best describes the slope of the line on the diagram?
- Apositive
- B0
- Cnegative
- Dundefined
Q9:
The graph shows the distance covered in kilometers over a 15-hour hike. What are the fastest and slowest speeds recorded?
- AFastest speed: km/h, slowest speed: km/h
- BFastest speed: 6 km/h, slowest speed: km/h
- CFastest speed: 3 km/h, slowest speed: km/h
- DFastest speed: 6 km/h, slowest speed: km/h
- EFastest speed: 3 km/h, slowest speed: km/h
Practice Means Progress
Download the Nagwa Practice app to access 52 additional questions for this lesson!
