Solving and Verifying Equations

The video tutorial explains how to solve linear equations by simplifying both sides, isolating the variable, and verifying the solution. It covers two example equations, demonstrating the process of distributing, combining like terms, and checking the solution by substitution.

What is the first step in solving an equation?

• Multiplying both sides by zero

• Isolating the variable

• Simplifying both sides

• Checking the solution

What operation is performed to clear parentheses in an equation?

• Addition

• Subtraction

• Division

• Distribution

After simplifying the first equation, what is the value of x?

• -31

• 21

• 31

• -21

How do you verify a solution to an equation?

• By guessing

• By substituting the solution back into the original equation

• By multiplying the solution by zero

• By adding the solution to both sides

What is the result of substituting x = -31 back into the first equation?

• -10

• 0

• 10

• -31

What is the first step in simplifying the second equation?

• Distributing terms

• Dividing by zero

• Adding constants

• Subtracting variables

What is the value of x after simplifying the second equation?

• 28

• 21

• 14

• 7

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

• Subtracting 14 from both sides

• Adding 14 to both sides

• Dividing by 14

• Multiplying by 14

What is the result of substituting x = 21 back into the second equation?

• 7

• 14

• 21

• 0

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

• To avoid solving the equation again

• To change the solution

• To make the equation more complex

• To ensure the solution is correct