Solving Linear Equations and Absolute Values

The video tutorial explains how to solve the equation x - 4.88 = -1.6 by isolating the variable x. It demonstrates the use of addition to eliminate the subtraction of 4.88, leading to the solution x = 3.28. The tutorial also verifies the solution by substituting it back into the original equation, ensuring the correctness of the result.

What is the initial equation we are trying to solve?

• x - 4.88 = 1.6

• x - 4.88 = -1.6

• x + 4.88 = 1.6

• x + 4.88 = -1.6

What operation should be performed to isolate x in the equation x - 4.88 = -1.6?

• Subtraction

• Division

• Addition

• Multiplication

Why do we add 4.88 to both sides of the equation?

• To simplify the equation

• To make x negative

• To maintain equality

• To change the equation

What is the result of adding 4.88 to -1.6?

• 2.28

• 0.28

• 3.28

• 1.28

Which number has the larger absolute value in the calculation -1.6 + 4.88?

• Both are equal

• None of the above

• 4.88

• -1.6

What is the final solution for x in the equation x - 4.88 = -1.6?

• x = 2.28

• x = 3.28

• x = 4.28

• x = 5.28

What is the purpose of finding the absolute values of numbers in the calculation?

• To simplify the equation

• To change the equation

• To make the numbers larger

• To determine the sign of the result

What is the significance of the sign of the number with the larger absolute value?

• It has no significance

• It simplifies the equation

• It changes the equation

• It determines the sign of the sum

How do we verify the solution to the equation?

• By changing the values

• By using a different equation

• By guessing

• By checking the original equation

What should the result be when substituting x = 3.28 back into the original equation?

• 1.6

• 3.28

• -1.6

• 0