Understanding Equation Solving

The video tutorial explains how to solve an equation by isolating the variable. It begins by clearing parentheses and fractions using the least common denominator. The process involves distributing terms, simplifying fractions, and combining like terms. The solution is verified by substituting the value back into the original equation to ensure it holds true.

What is the first step in solving an equation with fractions?

• Clear parentheses

• Multiply by zero

• Isolate the variable

• Add fractions to both sides

How do you distribute 3/4 to the expression (x - 2)?

• 3/4x + 3/4

• 3/4x - 3/4

• 3/4x - 6/4

• 3/4x + 6/4

What is the least common denominator used to clear fractions in this equation?

• 3

• 6

• 2

• 4

What is the purpose of multiplying both sides of an equation by the least common denominator?

• To simplify the equation

• To isolate the variable

• To add fractions

• To clear fractions

After clearing fractions, what is the next step in solving the equation?

• Add fractions

• Combine like terms

• Multiply by zero

• Divide by the variable

What operation is used to isolate the variable term 3x?

• Subtract 18

• Add 18

• Multiply by 3

• Divide by 3

What is the final value of x in the equation?

• 20

• 15

• 10

• 5

What does the expression 3x - 18 = 12 represent in the process of solving the equation?

• The equation after combining like terms

• The final solution

• The equation after clearing fractions

• The original equation

How do you verify the solution of an equation?

• By substituting the solution back into the original equation

• By adding random numbers

• By multiplying by zero

• By guessing

What is the result when you substitute x = 10 back into the original equation?

• 4 = 4

• 3 = 3

• 5 = 5

• 6 = 6