These lessons, with videos, examples and solutions help Grade 6 students learn how to use variables to represent two quantities in a realworld problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.
Related Pages
Common Core for Grade 6
More Lessons for Grade 6
Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Common Core: 6.EE.9
Identify Independent Variable and Dependent Variable on Various Representational Modes
Create equations and inequalities in one variable and use them to solve problems.
Jordan squeezes 6 oranges to get 2 1/2 cups of orange juice. Identify the independent variable and dependent variable.
Jessica has a summer job that pays $6.50 per hour. Her total pay for one day was $32.50. Identify the independent and dependent variables and then graph.
Independent and Dependent Variables
Dependent and independent variables exercise
Example:
On your math quiz, you earn 5 points for each question that you answered correctly. In the table above, q represents the number question that you answer correctly on your math quiz and p represents the total number of points that you score on your quiz. The relationship between these two variables can be expressed by the following equation:
p = 5q
Which of the following statements are true?
Dependent and independent variables exercise
Example:
On your math quiz, you earn 5 points for each question that you answered correctly. In the table above, x represents the number question that you answer correctly on your math quiz and y represents the total number of points that you score on your quiz. The relationship between these two variables can be expressed by the following equation:
y = 5x
Graph the equation.
Dependent and independent variables exercise
Example:
You are buying a gym membership. The membership cost forty dollars per month.
In the graph and table above, d is the number total number of dollars that you pay for your gym membership, and t is the time (in months) that you keep the membership.
Write an equation for the amount of money, d, that you pay for your gym membership if you keep your membership for t months.
The following activities are obtained from Howard County Public School System.
Activities:
Complete the table of values below using your equation.
x 
y 
0 

1 

2 

3 

4 

5 

Graph your equation on graph paper.
Describe the relationship between x and y.
2. The table shows the relationship between the number of pineapples bought and the total cost.
Number Bought 
Total Cost 
10 
$25 
15 
$37.50 
20 
$50 
30 
$75 
Write an expression to find the total cost of buying any number of pineapples. Use data from the chart to justify your solution.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the stepbystep explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.