Linear Equation Solving Techniques

The video tutorial explains how to solve linear equations in one variable using two methods. The first method involves solving the equation with fractions, while the second method clears fractions at the start. Both methods aim to isolate the variable on one side of the equation, ultimately leading to the same solution. The tutorial emphasizes the importance of understanding the process of isolating the variable and provides a clear, step-by-step guide for each method.

What is the primary goal when solving a linear equation in one variable?

• To eliminate all numbers from the equation

• To isolate the variable on one side of the equation

• To convert the equation into a quadratic equation

• To find the reciprocal of the variable

In the first method, what operation should be undone first when isolating the variable?

• Exponentiation

• Multiplication

• Division

• Addition or Subtraction

What is the reciprocal of 2/3?

• 3

• 3/2

• 1/2

• 2/3

What is the result of multiplying 3/2 by 6?

• 18

• 9

• 6

• 12

What is the common factor between 6 and 2 in the first method?

• 6

• 3

• 2

• 1

What is the first step in the second method of solving the equation?

• Multiply by the reciprocal

• Isolate the variable

• Clear the fractions

• Add 2 to both sides

When clearing fractions, what should you multiply each term by if the denominator is 3?

• 1

• 2

• 3

• 4

In the second method, what is the result after adding 6 to both sides of the equation?

• 12

• 24

• 6

• 18

What is the final value of x in both methods?

• 12

• 6

• 9

• 3

What is the main advantage of clearing fractions before solving?

• It changes the solution

• It simplifies the equation

• It eliminates the need for reciprocals

• It makes the equation more complex