Solving Linear Equations and Variables

The video tutorial explains how to solve an algebraic problem where thirty-eight less than three times a number equals 118. It guides through understanding the problem, identifying constants and variables, translating the problem into an algebraic equation, solving the equation, and verifying the solution. The solution is found to be 52, and the verification confirms its correctness.

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

• To find a number that is equal to 118

• To find a number that is thirty-eight more than three times another number

• To find a number such that thirty-eight less than three times it equals 118

• To find a number that is three times another number

What does the variable x represent in the problem?

• The constant number

• The unknown number we need to find

• The number 118

• The number 38

Which of the following are constants in the problem?

• x and 3

• 38 and x

• 38 and 118

• 3 and 118

How is the expression 'three times a certain number' represented algebraically?

• 3 + x

• x/3

• 3 - x

• 3x

What is the algebraic equation formed from the problem statement?

• 3x + 38 = 118

• 3x = 38 + 118

• 3x - 38 = 118

• 38 - 3x = 118

What is the first step in solving the equation 3x - 38 = 118?

• Subtract 38 from both sides

• Add 38 to both sides

• Multiply both sides by 3

• Divide both sides by 3

After adding 38 to both sides of the equation, what is the resulting equation?

• x = 80

• x = 156

• 3x = 80

• 3x = 156

What operation is performed to isolate x in the equation 3x = 156?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the value of x after solving the equation?

• 38

• 156

• 52

• 118

How is the solution verified in the video?

• By multiplying x by 38 and checking if it equals 118

• By substituting x back into the equation and checking if it equals 118

• By checking if 3x equals 118

• By adding 38 to x and checking if it equals 118