# 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