Substituting Values in Equations

The video tutorial explains how to determine which values of the variable 'a' make the equation 6 = a/4 + 2 true. The instructor tests different values, including 16, 0, and 4, to see which one satisfies the equation. It is found that only the value 16 makes the equation true, as it results in both sides being equal. The process involves substituting each value into the equation and simplifying to check for equality.

What is the main goal of the problem presented in the video?

• To calculate the derivative of 'a'

• To find the value of 'a' that makes the equation true

• To solve for 'a' in a quadratic equation

• To determine if 'a' is a prime number

Which value of 'a' was first tested to see if it satisfies the equation?

• 8

• 0

• 4

• 16

What is the result when 16 is substituted for 'a' in the equation?

• The equation becomes 6 = 8

• The equation becomes 6 = 4

• The equation becomes 6 = 2

• The equation becomes 6 = 6

Why does the value 0 not satisfy the equation?

• Because 0 over 4 plus 2 equals 6

• Because 0 over 4 plus 2 equals 8

• Because 0 over 4 equals 4

• Because 0 over 4 plus 2 equals 2

What is the result when 4 is substituted for 'a' in the equation?

• The equation becomes 6 = 6

• The equation becomes 6 = 3

• The equation becomes 6 = 2

• The equation becomes 6 = 4

Which value of 'a' is the only one that makes the equation true?

• None of the above

• 16

• 4

• 0