Solving and Verifying Equations

The video tutorial explains how to solve an equation by isolating the variable. It begins with simplifying both sides of the equation using distribution and combining like terms. The tutorial then demonstrates isolating the variable by adding or subtracting terms. Finally, it verifies the solution by substituting the value back into the original equation, ensuring both sides are equal.

What is the first step in solving an equation?

• Multiply both sides by zero

• Divide both sides by the variable

• Isolate the variable

• Add numbers to both sides

What operation is used to clear parentheses on the left side of the equation?

• Distribution

• Subtraction

• Division

• Addition

What is the result of distributing 4 on the left side of the equation?

• Negative 16x plus 24

• Negative 16x minus 24

• 16x plus 24

• 16x minus 24

How do you simplify the right side of the equation?

• By adding like terms

• By subtracting like terms

• By dividing like terms

• By distributing and combining like terms

What is the simplified form of the right side of the equation?

• 17x minus 33

• 17x plus 33

• Negative 17x minus 33

• Negative 17x plus 33

What is the next step after simplifying both sides of the equation?

• Divide both sides by the variable

• Multiply both sides by zero

• Isolate the variable terms on one side

• Add numbers to both sides

What is the value of x after isolating the variable?

• x = 33

• x = 24

• x = 0

• x = 9

What does substituting the solution back into the original equation verify?

• The solution is incorrect

• The equation is incorrect

• The equation has no solution

• The solution satisfies the equation

What is the result of substituting x = 9 back into the original equation?

• Both sides equal 0

• Both sides equal 9

• Both sides equal -120

• Both sides equal 120

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

• To confirm the solution satisfies the equation

• To find a different solution

• To change the equation

• To ensure the solution is incorrect