Lesson Worksheet: Linear and Nonlinear Functions Mathematics • 8th Grade
In this worksheet, we will practice determining whether a function is linear or nonlinear.
Q5:
Determine whether the given figure represents a linear or nonlinear function.
- Aa nonlinear function
- Ba linear function
Q6:
Which of these functions is not linear?
- A
- B
- C
- D
Q7:
Does the shown figure represent a linear function?
- AYes
- BNo
Q8:
Determine whether the given table represents a linear or nonlinear function.
| -value | 0 | 1 | 2 | |
|---|---|---|---|---|
| -value | 5 | 2 | 5 | 14 |
- AA nonlinear function
- BA linear function
Q9:
Determine whether the given table of values must be from a nonlinear function, or could be from a linear function.
| -value | 0 | 2 | 4 | 6 |
|---|---|---|---|---|
| -value | 1 | 3 | 9 | 19 |
- AIt must be from a nonlinear function.
- BIt could be from a linear function.
Q10:
Is a linear function?
- AYes
- BNo
Q11:
Could the following table of values be from a linear function?
| -value | 0 | 1 | 2 | 3 | |
|---|---|---|---|---|---|
| -value | 7 | 5 | 3 | 1 |
- ANo
- BYes
Q12:
Determine whether the given table of values must be from a nonlinear function, or could be from a linear function.
| -value | 0 | 1 | 2 | |
|---|---|---|---|---|
| -value | 5 | 2 | 5 | 14 |
- Aa linear function
- Ba nonlinear function
Q13:
The table below shows the measures of the heights and bases of several triangles. Are the heights of the triangles a linear function of the bases?
| Base (in) | 2.4 | 4.3 | 5.3 | 6.3 |
|---|---|---|---|---|
| Height (in) | 8.5 | 7.2 | 5.1 | 2.2 |
- ANo
- BYes
Q14:
After graphing the function , determine whether it is a linear or a nonlinear function.
- AIt is a nonlinear function.
- BIt is a linear function.
Q15:
Determine whether the function is a linear or nonlinear function.
- Aa linear function
- Ba nonlinear function
Q16:
Does the equation represent a linear or a nonlinear function?
- Alinear function
- Bnonlinear function
Q17:
Determine whether the function is a linear or nonlinear function.
- Aa nonlinear function
- Ba linear function
Q18:
Is any cubic function a nonlinear function?
- ANo
- BYes
Q19:
A toy store uses the equation to calculate the gross profit that the store makes, in dollars, when it sells toys. Is the gross profit a linear or nonlinear function of the number of toys sold?
- Aa nonlinear function
- Ba linear function
Q20:
The price of a ticket to a school dance is $8. Given the data in the table, do the ticket sales represent a linear function of the number of tickets sold?
| Number of Tickets Sold | 1 | 2 | 3 |
|---|---|---|---|
| Ticket Sales | $8 | $16 | $24 |
- AYes
- BNo
Q21:
A family went on a road trip. Given the information in the table, is the distance covered by the family a linear function of the number of hours they spent traveling?
| Time (h) | 2 | 4 | 6 | 8 |
|---|---|---|---|---|
| Distance (mi) | 130 | 260 | 390 | 520 |
- AYes
- BNo
Q22:
Which of the following sets of points could be from a linear function?
- A, ,
- B, ,
- C, ,
- D, ,
- E, ,
Q24:
Consider the following functions:
Identify which of the five functions are linear.
- Ad, e, and b
- Ba, b, and e
- Cd and e
- Db and c
- Ea and b