Dependent and Independent Variables in Math

You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine your distance from your house by adding 5 to the number of miles you have walked. In the equation below, x represents the number of miles you have walked, and y represents your distance from home in miles.

The relationship between these two variables can be expressed by the following equation:

y=x+5

Which is the independent variable?

• Your distance from home

• number of miles you walked

Tags

CCSS.6.EE.C.9

You are doing chores to earn your allowance. For each chore you do, you earn $3. In the equation below, c is the number of chores you do, and d is the number of dollars you earn. The relationship between these two variables can be expressed by the following equation: d=3c Which of the following is the independent variable?

• The number of chores you do

• The amount of dollars you earn

Tags

CCSS.6.EE.C.9

Name the INDEPENDENT variable from the table below.

• words

• minutes

In the equation y = 2x - 4, what is the dependent variable?

• 2x

• x

• -4

• y

Tags

CCSS.6.EE.C.9

​ ​ The variable that is NOT affected is called the ​ ​ (a)   and the variable that is affected is called the ​ ​ ​ (b)  

• Independent Variable

• Dependent Variable

The dependent variable is:

• x

• y

Tags

CCSS.6.EE.C.9

Which is the dependent variable?

• x

• y

• -1/2

• 4

Tags

CCSS.6.EE.C.9

What is the dependent variable in the equation y = 3x - 2?

• y

• x

• -2

• 3x

Tags

CCSS.6.EE.C.9

Elizabeth hired a cleaning service to clean her house. To find C, the total cost of cleaning her house, she used the following equation.

C = 7.5x + 25

What is the dependent variable for the equation?

• 7.25

• 25

• C

• x

Tags

CCSS.6.EE.C.9

Match the following using the given graph of a two-variable equation.

• 8 m/s

• Time it takes to reach a velocity of 20 m/s

• 5 seconds

• Dependent Variable x

• Time in seconds

• Equation

• Velocity in m/s

• Independent Variable y

• y = 4x

• Velocity after 2 minutes

Tags

CCSS.8.EE.B.5