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.

Miles5 miles10 miles15 miles20 miles
Kilometers8 km16 km24 kmβ‹―

Q2:

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

π‘₯𝑦Ordered Pairs (π‘₯,𝑦)
13(1,3)
26(2,6)
4β‹―(4,…)
  • A11, 11
  • B10, 10
  • C12, 12
  • D8, 8

Q3:

Which of the following graphs represents the equation 𝑦=4βˆ’3π‘₯?

  • 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.

  • A𝑑=160𝑑
  • B𝑑=60𝑑
  • C𝑑=140𝑑
  • D𝑑=40𝑑
  • E𝑑=80𝑑

Q5:

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

π‘₯361224
𝑦248β‹―

Q6:

Which of the following graphs represents the equation 𝑦=2π‘₯+3?

  • A
  • B
  • C
  • D
  • E

Q7:

By making a table of values, determine which of the following graphs represents the equation 𝑦=12π‘₯+1.

  • 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 π‘₯-axis and the fuel consumption on the 𝑦-axis, find the unknown value.

Distance (km)100150200250
Fuel Consumption (L) 7 10.5 β‹― 17.5

Q9:

Benjamin’s 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 1234
Number of Cups 2468
  • 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.

Feet123
Inches1224β‹―

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

Practice Means Progress

Boost your grades with free daily practice questions. Download Nagwa Practice today!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.