Understanding and Solving Equations with Decimals

The video tutorial explains how to solve an equation with decimals by simplifying both sides, clearing decimals, and isolating the variable. It demonstrates the process of combining like terms, multiplying to remove decimals, and using division to solve for the variable. The solution is verified by substituting it back into the original equation.

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

• Add a constant to both sides

• Multiply by a power of 10

• Subtract a constant from both sides

• Divide by a power of 10

When distributing terms in an equation, what operation is performed?

• Subtraction

• Addition

• Multiplication

• Division

How do you combine like terms in an equation?

• Add or subtract the coefficients

• Ignore the coefficients

• Multiply the coefficients

• Divide the coefficients

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

• To simplify the equation

• To clear decimals

• To add decimals

• To increase the equation's complexity

What is the result of subtracting 120X from both sides of the equation?

• The equation remains unchanged

• The variable terms are isolated on the left

• The equation becomes more complex

• The variable terms are isolated on the right

What operation is used to solve for X in the equation 70X = 273?

• Division

• Multiplication

• Subtraction

• Addition

How is the quotient of 273 divided by 70 determined?

• By estimating

• By multiplying

• By performing long division

• By using a calculator

What is the final solution for X in the equation?

• X = 3.8

• X = 4.0

• X = 3.7

• X = 3.9

How do you verify the solution of an equation?

• By guessing

• By solving a different equation

• By using a different variable

• By checking if both sides of the equation are equal

What is the value of the expression on both sides of the equation after verification?

• 7.28

• 7.27

• 7.26

• 7.25