Understanding Linear Equations and Variables

The video tutorial explains the difference between independent and dependent variables using equations. It demonstrates how the value of a dependent variable relies on the independent variable through various examples. The tutorial also includes real-life scenarios to illustrate these concepts, such as calculating distance traveled and the number of light bulbs in packs. The video concludes by summarizing the key points about independent and dependent variables.

What is the primary characteristic of a dependent variable?

• It is not affected by other variables.

• It is the input of an equation.

• It changes based on the independent variable.

• It is always a constant.

In the equation y = 3x + 6, what happens to y when x is 0?

• y becomes 9

• y becomes 3

• y becomes 0

• y becomes 6

If x is 2 in the equation y = 3x + 6, what is the value of y?

• 12

• 6

• 9

• 15

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

• 6

• 8

• 10

• 4

What is the value of y in the equation y = 2x - 2 when x is 10?

• 18

• 16

• 22

• 20

In the equation y = 2x - 2, what is y when x is 5?

• 6

• 8

• 12

• 10

What does the variable D represent in the equation D = 25h?

• Distance in miles

• Time in hours

• Speed in mph

• Number of boats

In the equation D = 25h, what is the independent variable?

• None of the above

• h

• 25

• D

How many light bulbs are in each pack according to the equation b = 4p?

• 4

• 5

• 3

• 2

In the equation b = 4p, what does the variable p represent?

• Total brightness

• Price per pack

• Number of packs

• Number of light bulbs