Solving and Verifying Equations

This video tutorial continues from the previous one, focusing on solving two equations. The first equation involves clearing fractions by multiplying both sides, isolating the variable Z, and verifying the solution. The second equation is solved by isolating the variable N, simplifying the fraction, and discussing the solution. The tutorial emphasizes the steps of solving equations, including clearing fractions, isolating variables, and verifying solutions.

What is the first step suggested to solve an equation with fractions?

• Subtract a constant from both sides

• Multiply both sides by the denominator

• Add a constant to both sides

• Divide both sides by the numerator

After clearing fractions, what is the next step in solving the equation?

• Isolate the variable term

• Add like terms

• Check the solution

• Factor the equation

What is the solution to the first equation after simplification?

• Z = 1

• Z = -3

• Z = 3

• Z = 0

How do you verify if a solution to an equation is correct?

• By checking the solution with a calculator

• By graphing the equation

• By substituting the solution back into the equation

• By solving a different equation

Why is it important to check the solution of an equation?

• To ensure the solution is correct

• To simplify the equation further

• To find a different solution

• To practice solving equations

What is the first step in solving the second equation?

• Multiply both sides by a constant

• Add a constant to both sides

• Subtract the variable term from both sides

• Divide both sides by a constant

What operation is used to isolate the variable in the second equation?

• Division

• Subtraction

• Multiplication

• Addition

What is the common factor used to simplify the fraction in the second equation?

• 2

• 5

• 3

• 4

What is the solution to the second equation after simplification?

• N = 3

• N = -3

• N = 0

• N = 1

What is the result of dividing -12 by 8 in the second equation?

• 1.5

• -1.25

• -1.5

• 1.25