Solving Linear Equations with Decimals

The video tutorial explains how to solve the equation 1.6x = -0.8 by isolating the variable x. It involves dividing both sides by 1.6, performing division with decimals, and verifying the solution by substitution. The process is broken down into clear steps, ensuring the solution is correct and understandable.

What is the initial equation that needs to be solved?

• 1.6x = 0.8

• 1.6x = -0.8

• x = 1.6

• x = -0.8

What operation is used to isolate x in the equation 1.6x = -0.8?

• Division

• Multiplication

• Subtraction

• Addition

Why do we divide both sides of the equation by 1.6?

• To eliminate the decimal

• To isolate x by performing the inverse operation

• To change the sign of the equation

• To make the equation simpler

What is the result of dividing 1.6 by 1.6?

• 1.6

• 1

• 0

• 2

What is the first step in dividing decimals like 0.8 by 1.6?

• Multiply the numbers

• Add a zero to the dividend

• Move the decimal point in the divisor

• Subtract the numbers

What is the quotient of 0.8 divided by 1.6?

• 0.5

• 0.8

• 2.0

• 1.5

What is the final value of x in the equation 1.6x = -0.8?

• 0.5

• 1.0

• -0.5

• -1.0

How do we verify the solution to the equation?

• By checking the original equation

• By using a calculator

• By substituting the value of x back into the equation

• By solving a different equation

What should the product of 1.6 and -0.5 equal to verify the solution?

• 0.8

• -1.6

• -0.8

• 1.6

What is the purpose of checking the solution with a calculator?

• To find a new solution

• To verify the accuracy of the solution

• To change the equation

• To simplify the equation