Solving Linear Equations and Inequalities

The video tutorial explains how to solve the equation x + 1.93 = -8.02 by isolating the variable x. It involves subtracting 1.93 from both sides to simplify the equation, then calculating the solution by adding the absolute values of the numbers involved. The solution is verified by substituting the value of x back into the original equation to ensure both sides are equal.

What is the equation we are trying to solve?

• x minus 1.93 equals 8.02

• x plus 1.93 equals 8.02

• x minus 1.93 equals -8.02

• x plus 1.93 equals -8.02

What is the first step to isolate x in the equation?

• Divide both sides by 1.93

• Multiply both sides by 1.93

• Add 1.93 to both sides

• Subtract 1.93 from both sides

Why do we perform the same operation on both sides of the equation?

• To keep the equation balanced

• To make the equation more complex

• To change the solution

• To eliminate x from the equation

What is the result of subtracting 1.93 from 1.93?

• 3.86

• 1.93

• 0

• -1.93

How do you add two negative numbers?

• Subtract their absolute values and keep the positive sign

• Add their absolute values and keep the positive sign

• Subtract their absolute values and keep the negative sign

• Add their absolute values and keep the negative sign

What is the absolute value of -8.02?

• 8.02

• -8.02

• 0

• 16.04

What is the sum of 8.02 and 1.93?

• 10.95

• 7.95

• 9.95

• 9.85

What is the final solution for x?

• x = 8.02

• x = -8.02

• x = -9.95

• x = 9.95

How do we verify the solution for x?

• By guessing the solution

• By solving a different equation

• By substituting x back into the original equation

• By checking the solution with a calculator

What should the left side of the equation equal after substitution?

• 9.95

• -8.02

• -9.95

• 8.02