Verifying Solutions in Algebra

The video tutorial guides viewers through determining the truth of various statements by checking if specific values satisfy given equations. It covers four statements, analyzing each by substituting values into equations and simplifying both sides to verify equality. The tutorial concludes with a summary of which statements are true or false.

What is the first step in verifying if b = 10 is a solution to the equation?

• Check if b = 10 is greater than 0

• Multiply both sides of the equation by 10

• Add 10 to both sides of the equation

• Substitute b = 10 into the equation

After substituting b = 10, what should the left side of the equation equal?

• Ten

• Zero

• Twenty

• The right side of the equation

Why is m = 13 not a solution to the equation?

• The equation becomes undefined

• The left side equals zero, not 102

• The equation is not defined for m = 13

• Because 13 is not a valid number

What operation is performed first when verifying m = 13?

• Subtraction

• Addition

• Multiplication

• Division

What is the result of simplifying the left side of the equation when z = -4?

• 46

• 102

• 23

• 276

What is the final result when both sides of the equation are simplified for z = -4?

• Both sides equal 46

• Both sides equal 276

• Both sides equal 102

• Both sides equal 0

What is the first step in verifying if d = -12 is a solution?

• Divide both sides by 12

• Multiply both sides by -12

• Substitute d = -12 into the equation

• Add 12 to both sides

What is the result of the left side of the equation when d = -12?

• -90

• 90

• 0

• 186

What is the result of the right side of the equation when d = -12?

• 186

• 0

• 90

• -90

Why is d = -12 a solution to the equation?

• Because both sides equal 0

• Because both sides equal -90

• Because both sides equal 186

• Because both sides equal 90