Understanding Linear Equations

The video tutorial explains how to solve a linear equation in one variable by simplifying the equation, clearing decimals, isolating the variable term, and solving for the variable. It also demonstrates verifying the solution by substituting the value back into the original equation.

What is the first step in simplifying a linear equation?

• Dividing by the variable

• Adding fractions

• Eliminating parentheses

• Multiplying by zero

How can you clear decimals from an equation?

• By subtracting decimals

• By adding 1 to both sides

• By multiplying both sides by 10

• By multiplying both sides by 100

What is the purpose of multiplying both sides of an equation by 100?

• To increase the value of the equation

• To make the equation more complex

• To eliminate the variable

• To clear the decimals

What should you do to isolate the variable term on one side of the equation?

• Add fractions

• Divide by the constant

• Multiply by zero

• Add or subtract terms

Why do we subtract 20X from both sides of the equation?

• To simplify the equation

• To add more variables

• To isolate the variable term

• To eliminate the constant

What is the next step after isolating the variable term?

• Subtract the variable

• Multiply by the variable

• Add more constants

• Divide by the coefficient of the variable

How do you solve for X in the equation 15X = 45?

• Multiply both sides by 15

• Divide both sides by 15

• Subtract 15 from both sides

• Add 15 to both sides

What is the solution to the equation 15X = 45?

• X = 3

• X = 2

• X = 1

• X = 4

How can you verify the solution to a linear equation?

• By dividing the solution by the variable

• By substituting the solution back into the original equation

• By adding the solution to both sides

• By multiplying the solution by zero

What is the result of substituting X = 3 into the original equation?

• The equation is not satisfied

• The equation becomes more complex

• The equation is satisfied

• The equation has no solution