# Lesson Worksheet: Relating Tables, Graphs, and Equations Mathematics • 6th Grade

In this worksheet, we will practice matching equations of lines, tables of values, and graphs.

**Q1: **

Use the graph to complete the missing value in the table.

Miles | 5 miles | 10 miles | 15 miles | 20 miles |
---|---|---|---|---|

Kilometers | 8 km | 16 km | 24 km |

**Q2: **

Use the graph to complete the missing values in the table.

Ordered Pairs | ||
---|---|---|

1 | 3 | |

2 | 6 | |

4 |

- A11, 11
- B10, 10
- C12, 12
- D8, 8

**Q3: **

Which of the following graphs represents the equation ?

- A
- B
- C
- D
- E

**Q4: **

The following graph shows the money that Scarlett earns.

Write an equation to represent the relationship between dollars and time.

- A
- B
- C
- D
- E

**Q5: **

By graphing the related number pairs as ordered pairs in the table as shown, find the unknown term in the table.

3 | 6 | 12 | 24 | |

2 | 4 | 8 |

**Q6: **

Which of the following graphs represents the equation ?

- A
- B
- C
- D
- E

**Q7: **

By making a table of values, determine which of the following graphs represents the equation .

- A
- B
- C
- D
- E

**Q8: **

The given table represents the relation between fuel consumption of a specific car and the distance when the car moves at a speed of 100 km/h.

By graphing the given data in the table below as ordered pairs, the distance on the and the fuel consumption on the , find the unknown value.

Distance (km) | 100 | 150 | 200 | 250 |
---|---|---|---|---|

Fuel Consumption (L) | 7 | 10.5 | 17.5 |

**Q9: **

Benjaminβs favorite drink is hot chocolate; he drinks it whenever it rains. As shown in the table, the number of cups of hot chocolate he drinks in a week is twice the number of rainy days that week. Which of the following statements is true?

Number of Rainy Days | 1 | 2 | 3 | 4 |
---|---|---|---|---|

Number of Cups | 2 | 4 | 6 | 8 |

- AThe dependent variable is the number of rainy days, and the independent variable is the number cups of hot chocolate that he drinks.
- BThe dependent variable is the number of cups of hot chocolate that he drinks, and the independent variable is the number of rainy days.
- CThe dependent variables are the number of cups of hot chocolate he drinks and the number of rainy days.
- DThe independent variables are the number of cups of hot chocolate he drinks and the number of rainy days.

**Q10: **

The following graph shows the relationship between feet and inches.

Feet | 1 | 2 | 3 |
---|---|---|---|

Inches | 12 | 24 |

Use the graph to find how many inches there are in 3 feet.