Solving Linear Equations and Verification

The video tutorial explains how to solve linear equations in one variable by isolating the variable. It demonstrates solving two equations, verifying each solution by substitution. The process involves identifying coefficients, performing arithmetic operations, and checking solutions for accuracy.

What is the first step in solving a linear equation in one variable?

• Add a constant to both sides

• Isolate the variable on one side

• Multiply both sides by zero

• Subtract the variable from both sides

In the equation -x = -2, what is the coefficient of x?

• 2

• 1

• -1

• 0

What operation is used to isolate x in the equation -1x = -2?

• Addition

• Multiplication

• Subtraction

• Division

What is the solution to the equation -x = -2?

• x = -2

• x = 1

• x = 0

• x = 2

How do you verify the solution x = 2 for the equation -x = -2?

• Substitute x with 0

• Substitute x with 2

• Substitute x with 1

• Substitute x with -2

In the equation 4 = -1y, what does -1y represent?

• y minus 1

• y plus 1

• -1 times y

• y divided by -1

What is the solution to the equation 4 = -1y?

• y = 4

• y = -4

• y = 1

• y = 0

How do you verify the solution y = -4 for the equation 4 = -1y?

• Substitute y with 1

• Substitute y with 4

• Substitute y with -4

• Substitute y with 0

What is the opposite of negative 4?

• Negative 2

• Positive 4

• Zero

• Negative 4

What is the final step in verifying a solution to a linear equation?

• Check if both sides of the equation are equal

• Subtract the variable from both sides

• Add a constant to both sides

• Multiply both sides by zero